diff --git "a/data/dm_maths/full_data_1/1715_11255.jsonl" "b/data/dm_maths/full_data_1/1715_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1715_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify ((l\/(l*l\/(l*l\/(l*l**1))*l))**(-3)*(l*l\/l**1)**(1\/25))**(-2\/63) assuming l is positive.\nAnswer: l**(-302\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1308667185?\nAnswer: 3, 5, 7, 463, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 29?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from {y: 3, s: 2, w: 3, b: 1, l: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 0 (c) 6\/5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -72.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1987*b + 1393 = -4568. Determine y, given that -135*y**4 - 3441\/4*y**b + 18 - 585\/2*y**2 + 57*y = 0.\nAnswer: -6, -2\/5, -2\/9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152620 and 1254.\nAnswer: 95692740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18785831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 1. Let c(x) = -4*x + 22*x**2 - 23*x**2 - 3 + 18. Let t be c(-7). Let f = 6 - t. Let k(l) = -3*l - 4. Calculate f*u(b) + 3*k(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80 - 16) + -369 + 555.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 + -43. Let p = 19 + -8. Calculate the remainder when c is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 29*d - 200. Let i be a(12). Let h be ((-22)\/(-33))\/((-2)\/(-3)). Solve 21 = -i*c + h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(12) + sqrt(3) + sqrt(3)*-2 + -3)**2*-5.\nAnswer: -140 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -60\/309281 and 95\/15368.\nAnswer: 2474248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l + 5. Suppose 19*j + 2*w = 24*j - 22, -10 = -2*j + 2*w. Let m(n) = 5*n - 4. Give j*z(y) + 5*m(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -2\/11, -2, -1\/6, -93?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003728937 rounded to 5 dps?\nAnswer: -0.00373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 221779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2713*d**2 - 2*d + 113. List the prime factors of i(5).\nAnswer: 2, 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.6, -1.3, -3.\nAnswer: -3, -1.3, -0.6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5944.559 days to microseconds.\nAnswer: 513609897600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one fifths of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (6 - (-3 + 6) - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 + -77.2. Put -2\/7, -0.01, t, -1 in descending order.\nAnswer: -0.01, t, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7716 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 95045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3472)\/(-1302))\/(8\/(-42)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g. Let u(t) = 1462*t - 151. What is l(u(s))?\nAnswer: 2924*s - 302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*c = 36*c + 143*c - 56*c + 15162 for c.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -119, -424, -1017, -1994, -3451, -5484, -8189?\nAnswer: -11662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1351 - 2*j - 1354 + 2705.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93275, 373109, 839499, 1492445, 2331947, 3358005, 4570619?\nAnswer: 5969789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + -6*((sqrt(700) - (sqrt(700)*2 + -2 + sqrt(700) + sqrt(700) + sqrt(700)))**2 + 2).\nAnswer: -67236 + 960*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from hhjhhhjhjhhhhhhjhhh.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 12. Let x(l) = l + 12. Let t(m) = 4*x(m) - 3*y(m). Let a be t(-9). What is the second derivative of 49 - 23 + 18*c + c**a - 26 wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 7936.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbeqqeeebeeeqeee. What is prob of picking 1 b and 1 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8805 and 65.\nAnswer: 114465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 9*d**2 - 18*d + 208. Give v(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 6 = -5*q, -2*n = -q + 2*q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5\/7 + 34*y**4\/7 - 992*y**3\/7 + 5336*y**2\/7 - 8160*y\/7 = 0. Calculate y.\nAnswer: -34, 0, 3, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-96 + 8*g + 96)*(-32 + 28 + 29 + 14)*(-2 + g + 2) as q*g + c*g**2 + f and give c.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 58 = -3*p + 24, -3*f + 6 = 0. What is the remainder when 102 is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, 0.04, 0.3, -0.4, 0.2, 0.095?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 4, -22.\nAnswer: -22, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*((m\/(((m\/(m*m**(3\/22)))\/m)\/m)*m*m)\/m)\/m)\/m)\/(m*(m*m\/((m*m**(1\/9))\/m)*m*m)\/m*m*m)*(m\/((m*m*m*m**(1\/9))\/m)*m)**37 assuming m is positive.\nAnswer: m**(-151\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -18 (b) -1\/2 (c) -25\/799\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.175 in 1\/2, -1, -0.04, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1122, 5, -1 in descending order.\nAnswer: 5, -1, -1122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*b + 43, 4*b + 5 = 3*b. What is the lowest common multiple of (2*2\/r)\/((-12)\/(-144)) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*d + 1 + 17 = 0, 3*d = 3. Let u be (n - (-185)\/35)*8\/240. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2848 is divided by 959?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -7\/2, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278162 - 86866 = 16*r. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68747953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*w + 1 + 23*w - 31*w)*(-264 + 162 + 657 - 85 + 582).\nAnswer: -43132*w + 1052","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 33*j**2 + 1 + 9*j**3 - 4 - 3 + 50*j - 7*j**4 - 39*j = 0.\nAnswer: -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 176 - 494. Let y = r - -315. What is the closest to 1\/21 in y, -1\/12, 2\/7?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = 21*u + 62 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z - 27. Let o be j(-7). What is o rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 6*s - 5. Let u be j(7). Suppose u*r + 2 - 8 = 0. Solve -r*p + p = 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-5)*v)*v*v**(2\/15))**(-2\/43) assuming v is positive.\nAnswer: v**(-184\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*b = -30, b + 2 = 3*q - 14. Suppose 0 = -o + q*o - 725. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-20))\/(-4)*75\/20.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (7 + 5 - 10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-855 - 6357 - 1493)*((2*g - 3*g + 0*g)*(2*g - 3*g + 3*g) - 2*g - 2*g**2 + 2*g + 2*g**2 + 0*g**2 + 0*g**2) as q*g**2 + u*g + i and give q.\nAnswer: 17410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 + 0*q**2 + 2*q**2 + (-6*q + 0 + 0)*(-2 + 2 + q) + 9*q**2 + q + 0*q**2 - 13*q**2 - 1 to i*q**2 + a + r*q and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6131 plus 1?\nAnswer: 1.6131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57639, 57687, 57817, 58071, 58491, 59119?\nAnswer: 59997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334.1342um to millimeters.\nAnswer: 0.3341342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10223892 - -27166108. What is g rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17229941 at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -277b (base 13) to base 14.\nAnswer: -20d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2*h\/h**(-5))\/(h**(-1\/9)*h\/(h**7\/h)))**(3\/2) assuming h is positive.\nAnswer: h**(59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 0.2, -4804, -1.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.0484198.\nAnswer: -0.01452594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175048528 divided by -5917.\nAnswer: -29584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*z + 75*z - 12 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -224*r**3 - 65*r**2 - 11. Let f(j) = -45*j**3 - 13*j**2 - 2. Let k(m) = -11*f(m) + 2*w(m). Find the third derivative of k(y) wrt y.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - r - 8 = -2*y - 4*y, -2*y + 932 = -469*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3244307*j**5 + 336*j - 3478?\nAnswer: -64886140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/30)\/(12\/18). What is the third smallest value in 3\/7, -0.5, k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/4 + 50977*k\/4 - 178395\/2 = 0. Calculate k.\nAnswer: 7, 50970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**3\/6 + 3*g**2 + 3*g + 2. Calculate j(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107999 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - d - 1. Let b be t(-1). Suppose -w - w = b. Let c(r) = -14*r**3 + r**2. Is c(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*n + a + 47, -4*n + 4*a = -52. Let j = n + -6. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) -1 (c) -208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 59*n - 3*n**2 - 1\/12*n**4 + 0 + 1\/6*n**3. Let p be 0\/3 + -1 + 1. Give z(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4 + 115\/(-190). Let x = -57.1 - -49. Let p = x + 8. Sort s, -4, p in increasing order.\nAnswer: -4, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 56*b - 155. Calculate the remainder when o(27) is divided by 151.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h - 45 + 95 - 49 as g + w*h and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-96)\/27)*18\/15\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39684 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80904158 by -3.\nAnswer: -80904158\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 67 = r, 2*r - 7*a + 78 = 23*a - 24*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -3 - (1 + 62 - (56 + -35))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*305422417.\nAnswer: 152711208.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 46391 to the power of 1\/2, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29660 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/57 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 5:54 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/16*6)\/((-30)\/(-40)). Put k, -3, 29 in descending order.\nAnswer: 29, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q = 2*t - 38, -2*q - 4*t + 10 = 0. Suppose 0 = -q*v + 13*v - 218. Let h = -106 + v. Solve 0 = h*c + 7 - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.11699 rounded to three dps?\nAnswer: -1.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 64.412.\nAnswer: -19.3236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, -1\/73, 0.3, 1\/6, -1 in descending order.\nAnswer: 0.3, 1\/6, -1\/73, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3027074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c - 156. Find the third derivative of -c + 78 - w**2 + 2*w**3 wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b - 6*b - 3 + 4*b**2 + 2*b. Let u be n(-6). Suppose 0 = 10*j + u - 8627. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/7 + 0\/2. Factor f*u**3 + 2*u**5 + 13*u**4 - 6*u**4 - 6*u**2 - 4*u - u**4.\nAnswer: 2*u*(u - 1)*(u + 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.302? (a) 4 (b) 2 (c) -11 (d) -1\/24 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + (-4 + 3 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1332 - 242232?\nAnswer: -244114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79, -88, -105, -130, -163?\n\"Answer: -4*i**2 + 3*i - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -24*o + 29*o + 4517, 0 = -5*h - 5*o + 11380. List the prime factors of h.\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 210*r**4 + 4*r**3 - r**2 + 206*r**4 - 418*r**4 + 25*r - 9*r**3 in the form d*r + t*r**3 + z + b*r**4 + q*r**2 and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001010110011001011 (base 2) in base 11?\nAnswer: 1232946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*t**3 - 12*t**3 + 19*t**3 + (0 - 2 + 1)*(-2*t**3 + 5*t**3 - t**3) - t**3 - t**2 + t**2 - 11*t**3 - 10*t**3 + 14*t**3.\nAnswer: -39*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 17.3168m?\nAnswer: 0.0173168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 37*a - 35*a + 698, 0 = 2*n - 5*a - 337. Calculate the greatest common factor of 616 and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*x - 5*x. Let f = 54538 - 54534. Which is the third biggest value? (a) -1 (b) x (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3591604900*b**2 - 62566920*b - 272484.\nAnswer: -4*(29965*b + 261)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 6\/5 (c) -5 (d) 0.277387\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 209 and 30713727?\nAnswer: 583560813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24947 is divided by 4015.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + 0 + 4 + (1 - 9). Find the second derivative of -2 - 31*p**3 - 20*p**a + 38*p**3 + 36*p - 7*p + 23*p**2 wrt p.\nAnswer: 42*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 9:36 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 8*y - 9)*(-6*y + 8*y + 98 - 5*y) to the form n + q*y**2 + w*y and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -29*a**2 - 7*a + 11. Let z(y) = -15*y**2 - 3*y + 6. Let u(p) = 2*k(p) - 5*z(p). Calculate the smallest common multiple of u(2) and 12.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2*m - 24 + 28 = 0, 3*m = 2*r - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 503543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -119, -300, -551, -872, -1263?\nAnswer: -1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -35 (b) 0.04 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/75*(-32)\/(-432)*135.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a factor of 11165840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -2)\/((-135)\/228870). Suppose 12*h - 11*h = -2, 5*d = -2*h + a. List the prime factors of d.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -710330 or -710329?\nAnswer: -710330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -12171\nAnswer: 1\/12171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764168.\nAnswer: 2, 59, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58792 and 20?\nAnswer: 293960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4619 - 2153. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -77589466?\nAnswer: 77589472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 1 (c) -7 (d) 0.3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2760*r - 25. Let q(c) = -303601*c - 2755. What is -5*q(z) + 551*x(z)?\nAnswer: -2755*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 23. Calculate the common denominator of 1\/(v\/(3\/6)) and 43.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206964 take away -3?\nAnswer: 1206967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) - (sqrt(104) - (sqrt(104) - (sqrt(104) - 5*sqrt(104)*2 - sqrt(104))))))\/(sqrt(32)\/(sqrt(12)\/sqrt(3) + sqrt(4)) - sqrt(8)))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159584 divided by 69.\nAnswer: 159584\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 568*d - 58264. Calculate i(-128).\nAnswer: -1944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -81*k + 1. Let q(u) = 5*u**2. Determine q(a(b)).\nAnswer: 32805*b**2 - 810*b + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 21*o = 17*o - 16 - 54, -4*x - 42412*o + 42411*o + 158 = 0 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**3 - 23*h**2 - 35*h - 173. Let r(t) = 8*t**3 - 71*t**2 - 104*t - 518. Let f(a) = 4*r(a) - 11*u(a). Does 36 divide f(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suptoqp. Give prob of picking 1 s and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4182100 is divided by 3272.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + 2*sqrt(76) + 2 + 0)*6)**2.\nAnswer: -3456*sqrt(19) + 45072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 + 80*j + 1476. Let r be x(-75). Round r to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*k - 6, -4*k + 76*r - 72*r = -40 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 117 or 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(-280) + 48\/120?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86711 - -9538281\/110. Let j = -6\/11 + l. Let k = 4.29 - 0.29. Which is the third smallest value? (a) j (b) 4\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26\/97 + -1072\/1067. What is the common denominator of h and (23\/(-6))\/(3\/4)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-132)\/72 + 407\/(-66). Let t(c) = 11*c - 6. Let q(i) = -32*i + 17. Calculate p*t(j) - 3*q(j).\nAnswer: 8*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40939*z - 214895*z - 8010*z.\nAnswer: -181966*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235428*4.\nAnswer: -941712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/3)\/((-19)\/(-2)). Let k = -4 - -7\/2. Let x = 0 + 4. What is the third biggest value in i, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r = -5*s + 7, 54*s - 2*r = 56*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 8:05 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, n: 2, z: 1, w: 1, t: 1, p: 4}. Give prob of sequence poto.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 4:02 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14884247.139233 + -14884238. Let t = -9.14 + a. What is t rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2461 + -162.\nAnswer: -2623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*c - 4*t = 260*c - 6524, 9*c - 2*t = 14646. Calculate the least common multiple of 1184 and c.\nAnswer: 13024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l - 8. Let q be k(1). Let v(c) be the second derivative of -1\/40*c**5 - c + q - 1\/24*c**4 + 1\/12*c**3 + 1\/4*c**2. Factor v(z).\nAnswer: -(z - 1)*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**2 + 39*m + 42. What is the tens digit of r(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 4*q - 5. Let p = 13 - 17. Is l(p) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 405 + -744. Let h = 370 + k. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j + 5*j. Suppose -n - 2*g + 1 + 126 = 0, j = -4*n + 2*g + 538. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -174 - -1724. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, o: 5, g: 5}. What is prob of picking 3 g and 1 o?\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -168 + 0*h**2 + 6*h**2 + 9*h + 164. Suppose -3*d + 0*d - 12 = 0. Is l(d) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3780*o**4 - 5*o**3 - 35041*o**2?\nAnswer: 90720*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93003924 is divided by 23250980.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, r: 2, e: 1, g: 9}. What is prob of picking 1 g and 1 e?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7458?\nAnswer: 2, 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + k + 95, 38*q - 4*k + 76 = 41*q. Calculate the highest common divisor of 104 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*t, -t + 5*t - 18 = 2*s. Let n(j) = j**3 + 14*j**2 - 18*j - 25. List the prime factors of n(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -56.8872 and -0.1.\nAnswer: -56.9872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5 = 3*o, 5*o - 454 = -5*a - 464. Suppose -3*d = -0*d - 12. Sort 0, a, -4, d in increasing order.\nAnswer: -4, 0, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-5)*(-3)\/(-6). Let i = 4 - s. List the prime factors of (i\/(-20))\/((-1)\/92).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 10*a - 2. Let j be h(7). Find the third derivative of -3*c**2 + j*c**2 + 2*c**3 - 3*c**2 wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10102454 divided by -82807?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4320 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 24 = -6*n - 3*p, 5*n - p = 32. Let o = 151 + -148. What is the first derivative of u**3 - 3*u**3 - 3*u**3 + n + u**o wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 2. Calculate x(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*v = 18 + 3, 2*v = 10. Let x(g) = -4*g - 1. Let u be x(-4). Suppose -3*d = c - u. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6754)\/22 - 3\/1. What are the prime factors of o\/(-6) - (-10)\/(-15)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 774 and 860.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 18*p + 16*p = -10, 25 = -4*y + 5*p. Which is smaller: y or -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/17 (b) -5 (c) 235\/7 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3665\/17 (b) -2\/111 (c) 10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4739 (b) -2\/7 (c) -13 (d) -0.32 (e) -1 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14827\/3612 + -59\/172. Let m = -5217064 + 2410282465\/462. Let k = m - -63\/22. Find the common denominator of r and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238547956 is divided by 1459?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ari when three letters picked without replacement from {i: 1, u: 5, r: 1, g: 1, a: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6775 - 6572. Let f be 238\/1*(-1)\/2. Let g = m + f. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 2, 12.6?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v + 8. Let h = 201 - 193. What is the fourth smallest value in 6\/5, h, v, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 264309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c + 8004 = 8025. Suppose -2*i - 5*x = -0*i - 28, x - 24 = -5*i. Solve 0 = -a + 3*s + c, i*a = 3*s + 18 - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 divided by -6?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 138505654*s**3 + 94*s + 157636.\nAnswer: 831033924*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/9)*d*d*d)**(10\/7) assuming d is positive.\nAnswer: d**(370\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 16085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g + 28. Let z be b(-6). Let i be 1*(75\/(-20) + z). What is the third smallest value in -7, i, 1\/2, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134.5 - 135.5. Let j = -303\/4 + 76. What is the nearest to 1\/2 in j, -11, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + -2533150?\nAnswer: -2533136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6*x - 4)*(2*x**3 - 2*x**3 + x**3 - 2 + 2 + x**3 + (-2*x + x + 2*x)*(-3*x**2 + x**2 + 0*x**2) - 4*x**3 - 3 + 3 + 22*x**3 - 3*x**3 - 8*x**3).\nAnswer: 42*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79402, -79306, -79146, -78922?\nAnswer: -78634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8166, -8983, -11204, -15531, -22666?\n\"Answer: -117*g**3 + 2*g - 8051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -8*r**5\/5 + 5*r**4 - 4*r**3\/3 - 4*r**2 + 58. Find i, given that u(i) = 0.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05646315 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2, -2*p = 3*x - 0*x + 11759999. Let y = x - -26679999. What is y rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**3 + 18. Let j(r) = 36*r**3 + 54 + 18 - 21*r**3. Let l(g) = 21*a(g) - 5*j(g). Find the first derivative of l(b) wrt b.\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 481, -2, 2, -9 in decreasing order.\nAnswer: 481, 2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from dwcdcwodcsgwccwggc.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 5:58 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118347 is divided by 225.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6 - 17 = 0. Let w = -4 - g. Let o = w - 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35182\/14 - (-3)\/1. Suppose 9*d + 941 - g = 0. Let c = 317 + -292. Calculate the highest common divisor of c and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**4 + 16*p + 9. What is the derivative of t(x) wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5*x + 19. Let j = -152 + 190. What is the highest common divisor of j and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5330799911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5058 divided by -2\nAnswer: -2529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b = 5. Let v(x) = x**3 - 6*x**2 + 7*x - 7. Let h be v(b). Let g(k) = -k + 3. Let u be g(h). Sort -3\/5, -2, u in increasing order.\nAnswer: -2, -3\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167970372 divided by -41992593.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.376257 - 0.023743. Let u = 0.4 - 0.42. Which is the third smallest value? (a) u (b) 1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -20*j**3 - j**2 + 2*j + 1. Let w be (2\/(-4))\/(3\/12). Let y be a(w). Suppose -450 + y = -3*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f + 9 - 9)*(336 - 1016 - 228) in the form b + q*f and give q.\nAnswer: -2724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -565, -993, -1421, -1849, -2277, -2705?\n\"Answer: -428*n - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 41*g + 49*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = l + 19, 6 = 5*t + 3*l - 7. Suppose 5*z + u = 34, t*z + 5*u - 50 = -0*u. Suppose -5 = -3*n + 1. What is the highest common factor of n and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -15 + 164\/12 + 2\/(-3). Which is the closest to 0? (a) s (b) -0.5 (c) -8\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/2992 or -537?\nAnswer: -537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 + 9 + (63\/12 - -5). Find z, given that n + 5\/4*z**2 + 15\/2*z = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -937 - -931.99. Let l = 0.01 + c. Sort 5, -2\/5, l in decreasing order.\nAnswer: 5, -2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 1001.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + v**2 + 2*v - 3. Let k be l(2). Let t be 1 - (20\/(-2) - k). Calculate the highest common factor of t and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6\/11)\/r**(2\/7))\/(((r*r**2)\/r)\/(r\/((r\/(r\/r**(1\/3))*r)\/r)*r)))\/((r**2)**(-32))**(-3) assuming r is positive.\nAnswer: r**(-44621\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -179282510\nAnswer: -1\/35856502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639505606?\nAnswer: 2, 319752803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41377073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 5*o + 50, 3*f = -110*o + 106*o - 25 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - f + 110. Let i(a) = -2*a - 32. Let b be i(-16). Let r be u(b). Calculate the highest common factor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + -33 + 7 - (3 + -14 + (1 - 1)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/(-52) + (-2)\/(-8). Is k at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/49988 and -151\/6.\nAnswer: 149964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - -20 - ((4 - -1 - -4) + 0 + 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5896982 and 427.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 551, 1114, 1689, 2276, 2875, 3486, 4109?\nAnswer: 4744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 5*b**9\/504 - 13*b**8\/84 + 4*b**5\/15 + b**4\/8 - 2*b**3\/3 + 5*b**2 - 1241. Find the third derivative of s(k) wrt k.\nAnswer: 600*k**3 - 3120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23393 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 823270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**3 + 84*o**2 + 136*o. Let s(l) = l**3 - 42*l**2 - 68*l. Let x(y) = 4*b(y) + 7*s(y). What is the second derivative of x(d) wrt d?\nAnswer: -6*d + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.838694ml in litres?\nAnswer: 0.009838694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41 - (-41 - 11) - (-1 + (15 - 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -52*h**2 + 30*h - 296. Let v(u) = -13*u**2 + 7*u - 74. Calculate 4*a(s) - 17*v(s).\nAnswer: 13*s**2 + s + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29457 - 2*t**2 - 59056 + 29426 + 15*t.\nAnswer: -2*t**2 + 15*t - 173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 36.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 44 = -12. Find a, given that 2*a**5 + 8*a**4 + 6*a**2 + w*a**4 - 5*a**4 + 14*a**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 11:08 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 38\/19 - (5 + 4\/(-2)). Is v at most -5\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9038\/25 smaller than -362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + g + 93. Let u be (-24)\/9 + 2 - 833\/(-21). Suppose -4*v = -4*t + 24, -4*v = 4*t - 5*v - u. Calculate the remainder when g is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 515534 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -255391 + 255404.0001. Let q = 2.5 - 15.5. Let d = q + p. Round d to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/248 and -79\/4371.\nAnswer: 34968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**3 - 6832. Let o(x) = 36*x + 19. What is f(o(a))?\nAnswer: 3888*a**2 + 4104*a + 1083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 16379.\nAnswer: -16373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1427*l**3 + 116*l**2 - 106*l - 9. Calculate p(1).\nAnswer: -1426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38010998.\nAnswer: 2, 467, 40697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/5 + 2)*10. Let n be 4\/(-22) + t\/(-396). Which is the nearest to -1? (a) n (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86298 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-24)\/16)*-2. Suppose 0 = -11*a + 5*a. Solve -4*y - 3*m - 7 = a, -3*m = x*y - 7*y - 21 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 8087300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from {z: 5, n: 2, c: 1, r: 2, v: 8}?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2054 - -1393. Let o = t + 742. Which is greater: -0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 3:24 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1023530 by -1023530.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*t - 110*t = -11*t - 4320 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 214, 431, 1010, 2137, 3998, 6779, 10666, 15845?\n\"Answer: 31*f**3 - 5*f**2 + 15*f + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7525 and 94575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46372122*b**2 - 399832800?\nAnswer: 92744244*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 5, 6324 in descending order.\nAnswer: 6324, 5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 12285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/3283 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1821766857.\nAnswer: 3, 4729, 128411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*c + 19572 - 5376 = 26*c + 38*c for c.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3946518 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37 + 14498127011?\nAnswer: 14498127010.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*r + 1 - 5 + 3660*r + 3.\nAnswer: 3593*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -330 - 0.0228.\nAnswer: -330.0228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003406178 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12650.\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 754 and 328541.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/11)\/p**(3\/14))\/((p*p*p*p**(-28))\/(p**(-2\/23)\/p)))**32 assuming p is positive.\nAnswer: p**(1353360\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzo when four letters picked without replacement from ozzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 7, a: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -406*q - 7 + 411*q - 3 in the form g*q + u and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5188 = -3*a, -2*p + 0*p - 4*a + 2594 = 0. Is 83 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/9 - 2)\/((-996)\/2241). Let x(l) be the first derivative of -16 - n*l**2 + 15*l - 1\/3*l**3. What is x(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -653\/22 + 322831\/10846. Find the common denominator of r and -16\/145.\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -433911324.5 to the nearest one million.\nAnswer: -434000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -204 + 203. Let q = -1832 + 181366\/99. Which is greater: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.94144 years in decades?\nAnswer: 7.094144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 215*o - 55*o - 56*o - 59*o - 62*o. Calculate y(-18).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-5\/2)*g**(2\/5)*g*g**(-2\/3)\/(g\/(g**(15\/4)*g)))**(-2\/63) assuming g is positive.\nAnswer: g**(-479\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659337 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -441494 or -13686312\/31?\nAnswer: -441494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 7*i**2 - 4*i + 3. Calculate z(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 20, -0.5, 0.4, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 123375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1501841, 3003653, 4505465?\n\"Answer: 1501812*j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-16 - -17) + 20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69153148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 3)*(-2*p - 1 + 3 - 4).\nAnswer: 8*p + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 462 + -442. Solve 6 = -22*s + k*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 156.24 - 3.24. Let q = f - 157. Which is the biggest value? (a) -0.3 (b) -3\/4 (c) 7\/4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.22 rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -172*m - 1547. Let i be w(-9). Let z(q) be the first derivative of -5\/12*q**3 - 1\/16*q**4 - i - 3\/8*q**2 + 9\/4*q. Factor z(y).\nAnswer: -(y - 1)*(y + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w + 2*w)*(0*w**2 - 7*w**2 - 3*w**2)*(4 - 4 - 3).\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 7*s**2 - s - 6. Let k be x(7). Let j(a) = a + 9. Let i be j(k). Let q be -2 - (i - -4)*1. Is 1 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.848 times 0.6\nAnswer: -2.3088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 3:58 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and (5*367)\/(240\/288).\nAnswer: 24222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 10. Is (-3)\/(2 + q)*65 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8\/119 - -4371\/476. Calculate the common denominator of -6\/13 and w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045215 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192060*b + 75674 + 482*b**2 + 7*b**3 + 294374 - 2*b**3 + 6312 + 1468*b**2 = 0 for b.\nAnswer: -194, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5996.785 millennia in years?\nAnswer: 5996785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4, 2, -1\/4, 1.3, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*a**2*r**2 + 2*a**2*r + 3*a**2 + 10*a*r**3 + 14*r wrt r?\nAnswer: 46*a**2 + 60*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.22 - -21.22. Let r = z - 20.999907. What is r rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133 + 172. Let b = c - 40. Let q = b + 5. Solve 4*i = -4*j + 28, q*i + 5*j - 2*j - 24 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96012, 192018, 288024?\nAnswer: 384030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1334 divided by 1.\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3587?\nAnswer: 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-20)*(-4)\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20033338*d**3*z - 2*d**3 + 4890*d**2 - d*z - 209*z wrt d.\nAnswer: -120200028*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20169 + 20190. Solve -n*p + 62 = -85 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -1420, -5.2, 4, -0.2 in descending order.\nAnswer: 4, 4\/9, -0.2, -5.2, -1420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-7) - 2) + 2. Let y = -2195 - -2195. What is the second smallest value in 4, j, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572208246?\nAnswer: 2, 3, 53, 199933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r - 11. Give d(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*v = 90. Let g = 8571\/8 + -1067. Find the common denominator of g and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m = 65*m + 47 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125792 and 27136.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 11:06 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.624876t?\nAnswer: 6624876000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -78351 (c) -1\/6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -896, -1931, -3264, -5045, -7424?\nAnswer: -10551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6609012 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*z + 2*f - 109, -z - 5*f + 100 = 0. Let b = -92683 + 1573662\/17. Let y = b + z. Do y and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1464324474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22\/9 in 4, 0.1, -1526?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-4)\/6*27\/6. Let w(y) be the first derivative of 2\/3*y**f + 0*y - 2 - 3\/2*y**2. Find the second derivative of w(z) wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 10*g - 491*g**2 + 116*g**2 + 5.\nAnswer: -375*g**2 + 10*g - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 21. Let d(g) be the second derivative of 1\/10*g**5 + v*g**3 + 0 + 2*g - g**2 + 0*g**4. What is the first derivative of d(q) wrt q?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/62, 2\/3, 0, -0.992 in increasing order.\nAnswer: -0.992, 0, 3\/62, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.12 + -0.814?\nAnswer: 0.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 129463.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from mpmpmeprmpmymbr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = 6. Let z(u) = -7*u + 0*u + w + 1 + 0. Is z(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**5\/60 + y**4\/6 - y**3\/6 - 2*y**2. Calculate the remainder when o(3) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3252 plus 0.142?\nAnswer: 3252.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -5, -0.31, -1\/8.\nAnswer: -5, -0.31, -1\/8, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 85\/(-34) - (2*-1 + 1). Which is the closest to 2? (a) 5 (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24559 = -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11)\/((-22)\/126) - 5?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4654 and 60.605.\nAnswer: -4593.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1905 is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaazqaqa. What is prob of picking 1 z and 1 a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 11 = 2*s + 1, s - 3*m - 10 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 1\/6*z**3 + 0*z**4 + 3*z + 0 - 1\/20*z**5 - 9\/2*z**2. Calculate p(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15080.0217 + 15092. Let l = 11.92 - o. Round l to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 5:41 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -40. Differentiate 10*w**k - 10*w - 62 - w**3 - 7*w**3 with respect to w.\nAnswer: 6*w**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/36*-3 + 13 + -12.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13824 + 6*j**3 - 4569 - 4619 - 4636.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-10))\/(136\/(199 - 2647))\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/7, 189.\nAnswer: -3, -1\/7, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*a = -6. Let s(u) = 7*u + a*u - 14*u. Let b(j) = 11*j. Give s(b(w)).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.644506ng in tonnes?\nAnswer: 0.000000000000003644506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 less than 552568.88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (3 - (-1 - 5 - -12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -162\/19 + 2453\/76. Find the common denominator of -101\/16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13708523 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, -46, -105, -184?\n\"Answer: -10*k**2 - 9*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 7*b**2\/2 - 4*b + 1. Suppose -5*h + 22 = 2. Let i(n) = 6*n - 3. Give h*i(v) - 3*c(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 71*i**2 + 1347*i - 11. Give d(-19).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j**3*m**2 - 1058*j**3 + 604*j*m**2 + 2 wrt m?\nAnswer: -2*j**3*m + 1208*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 32, 1\/5, -1\/5, 1, -0.5?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 23 = 2*u. Suppose 0 = -8*r + 4*r + 184. What is the greatest common divisor of u and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 83, 220, 391, 584?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24\/11, -6, 20.92, -21, 5?\nAnswer: 20.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7219 and -6778.\nAnswer: -13997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 243*c**7\/140 + 28107*c**6\/80 + 9333*c**5\/20 + 3107*c**4\/12 + 230*c**3\/3 + 939*c**2. Solve x(r) = 0 for r.\nAnswer: -115, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*m - f + 30, -5*m + 4*f = 88. Let h be 9 - (-5)\/(-1)*m\/(-25). Solve -2*k = 4*c - 18 - 8, 25 = h*k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/7 + (-4704048)\/(-112). Round y to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1985 - 375 = -v. Let q be (-390)\/v*58942\/(-774). Let t = q - 3\/2537. Find the common denominator of 81\/4 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 143228 - 33874. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -2 (c) 1\/4 (d) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/(-28))\/(20\/43)*-2. Let b be ((-62)\/10)\/(3\/3). Let p = b - h. Which is greater: -12 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4 + 179314*o**3 + 537930*o**2 + 537926*o + 179308 = 0. What is o?\nAnswer: -89654, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2. Let i = 5.734 + 0.266. What is the third biggest value in i, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/18 + (-32)\/36. Which is bigger: -6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*q = 5665 - 1285 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -27*b**5\/20 - 129*b**4\/4 - 308*b**3 - 1470*b**2 - 164*b - 2. Determine s so that h(s) = 0.\nAnswer: -5, -14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 16 + 6. Suppose 0 = y - d + 5, 0 = -4*y + d - c - 3. Suppose 0 = -y*k - k + 4. Sort k, -10, -5 in decreasing order.\nAnswer: k, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 10:05 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -54*s**2 - 5161*s - 7989. What is q(-94)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*k + 15161 = 310*k + 3826 - 13151 for k.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75582 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 1, u: 1, s: 1, e: 1}. What is prob of picking 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*r - 62*r = -70. Put 5, 1, -30, r in decreasing order.\nAnswer: 5, 1, r, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/1895 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*k - 143 = -0*n, -60 = -2*n - 3*k. Let m = -37 - -40. Suppose -4*t = m*b - n, -t - 4 = t - 2*b. Sort 5, t, 1 in decreasing order.\nAnswer: 5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15459*a**3 + 35521*a**3 + 5*a**2 - 61699*a**3 - 58132*a**3 + 2.\nAnswer: -99769*a**3 + 5*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 358386203?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -234*k**3*u**2 - 6*k**3*u + 2*k**3 - 2*k*u**3 - 8*u - 2 wrt u?\nAnswer: -468*k**3 - 12*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 30 = 4*f, -4*f - p + 16 = -2. Suppose 0 = -f*c + 5 + 20. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v + 4. Let y be m(-3). Solve -20*d**2 + 37*d - 4*d**3 - y*d**3 - 9*d - 8*d**5 + 28*d**4 - 8 = 0 for d.\nAnswer: -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 33 - 22*q**4)*(-1 + 1 - q + (2 + 1 - 4)*(3 - 2*q - 3) + 4*q - q - 2*q + q + 5*q - q).\nAnswer: -154*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 339117668 - 339117484.999851. Let z = -183 + v. Round z to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 0 (c) 94\/171 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(87\/(-609))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11191 times -0.2723?\nAnswer: 3047.3093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7586.2 - 5907. What is v rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097364049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 9. Let b be 12\/(-16)*(-7)\/21. What is the closest to 1 in b, 2\/9, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**2 - j**2 - 3*j**2)*(-4*j**3 - 3*j**3 + 3*j**3) + j**5 + 4*j**5 - j**5 + (0 - 2*j**2 + 0)*(0*j**3 - j**3 + 3*j**3) + 0*j**5 + 0*j**5 - j**5.\nAnswer: -5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + (4 - 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 15*v - 98. Give r(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1554 and 57151606?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 387 - 384. Let t(p) = 496*p**3 + 496*p**h - 991*p**3. Let k(w) = -16*w**3. Give -2*k(o) - 28*t(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t - 12. Let w(f) = -4*f + 11. Calculate 6*b(c) + 7*w(c).\nAnswer: -4*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-153) + (-32)\/(-17). Let r(o) = o**2 + 1. Let s(p) = -3*p**2 - 20*p - 11. Let q(m) = x*r(m) + s(m). Does 7 divide q(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 + 0*t**2 - 2*t**2 - t**4)*(6*t + 2*t + t) - 3*t - 2*t**5 + 3*t.\nAnswer: -11*t**5 + 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence truu when four letters picked without replacement from uuuxxhurrtxhxh.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*n**3 - 953*n**5 - 196*n**2 + 1904*n**5 - 952*n**5 wrt n?\nAnswer: -60*n**2 + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 373503216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1519, 744, -31, -806, -1581?\nAnswer: -2356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 180 - 176. Suppose -2*p - 61 + 313 = -4*u, -z*u + 234 = 2*p. Calculate the smallest common multiple of 54 and p.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/30)\/(121\/22 - 5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2255210 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15544 - -8449144.\nAnswer: 8464688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 248145206 to the power of 1\/3, to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8673*t*w**3 + 25*t + 2*w**3 + 10353*w**2 + 782*w wrt t.\nAnswer: -8673*w**3 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*n - 3. What is the remainder when 30 + (n\/3 - 3) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 14 + 5 = 0. Let w = n + -4. What is the second derivative of -t**3 + 5*t - w*t**3 - 2*t + t wrt t?\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 61470350531 and -16.9?\nAnswer: 61470350547.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33\/(-33) - ((-26016)\/5 + (-2)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41144910251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 2*d + 1. Let f be g(2). Suppose -3*u - 4*n = 4, n + 1 = -0. Let y(m) = m - 11. Let o be y(11). Solve u*a + a + f = o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27159039 is divided by 1012.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - x**2 - x - 1. Let i(j) = 4*j + 61. Let y be i(7). Let w = y + -87. Let q(d) = 2*d**2 - 6*d + 2. What is w*s(u) + q(u)?\nAnswer: 2*u**3 - 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -992, -0.2.\nAnswer: -992, -1, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -4*p + 3*o + 64, -315*o - 3 = -3*p - 149*o - 154*o for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + (sqrt(75) - (sqrt(75) - (sqrt(75) - sqrt(75)*2*2))))\/(sqrt(5) + 2*sqrt(180)))\/(2*3*1*sqrt(320)).\nAnswer: -sqrt(3)\/312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24665.\nAnswer: 5, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210006468 and 2208?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**5\/8 + 8547*c**4\/8 - 6117429*c**3\/8 + 42472221*c**2\/8 - 6040671*c - 12115446 = 0?\nAnswer: -1, 4, 1421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.4 + 17.4. Let z = -0.3 + 0.41. Which is the second biggest value? (a) z (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 462 - 466.34. Let s = o + 1.1. Let i = s + 0.24. Which is the closest to -0.1? (a) i (b) 3\/4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21825845.\nAnswer: 5, 797, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b - 5. Sort 2, b, -4.\nAnswer: -4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*j - 83*j + 12 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 63. What is the nearest to 3 in -3, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 55 + (-3 - (-2)\/2). Let i = -50 + o. What is the tens digit of (244 - 0) + i\/1 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-205)\/82*9\/15?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 265, 276, 289, 304, 321, 340, 361?\n\"Answer: g**2 + 8*g + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611758 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-12)*12\/8*2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -225?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7))**(-2\/59)*h**(-5)\/(h\/(h\/(h**0\/h))))**(-2) assuming h is positive.\nAnswer: h**(3312\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -2, -328.5, -0.024?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -47, -57, -71, -89, -111?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 737\/9 at most 82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 155131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 3*t + t)*((3*t + t - 7*t)*(2 + 3 - 3) + 264 - 15*t - 264) as r*t**2 + m + j*t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -5*s**3\/6 - 5718*s. Let i(b) be the second derivative of b**3\/6 + b. Give i(w(c)).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11455621?\nAnswer: 1217, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 12*g + 15. Let f = 51 - 38. Let r be c(f). Round r to zero decimal places.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 - 60. Solve 1 - 7 = -5*r - o, f*o - 3 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 5*s - 14, -5*k - s - 16 + 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.4. Let m(c) = c**3 - 17*c**2 + 4. Let b be m(17). What is the biggest value in -3, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48130 is divided by 11949.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 3*o**2 + 1. Let v(x) = -4*x**3 + 508*x**2 - 524*x - 5. Let j(n) = -20*s(n) - 4*v(n). Find z such that j(z) = 0.\nAnswer: -524, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j - j - 2*j**2 + 0*j + j**2. Suppose -d + 16*d = -45. Determine o(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 - 184 - 184 - 183 + 545 - 51*z to the form j + r*z + s*z**3 + f*z**2 + v*z**4 and give r.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.8 + 13. Let q = 16 - 16.3. Let t = 1027\/5 + -206. Which is the closest to 2\/7? (a) g (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 10*a + 1. Let r be z(-10). What is the biggest value in r, -0.34, -3, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 39*c - 3. Let p(x) = -x**2 - 7*x + 2. What is 4*p(a) + z(a)?\nAnswer: -2*a**2 + 11*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/45 + ((-126)\/(-15) - 8). Put 1\/4, 2\/7, g in decreasing order.\nAnswer: 2\/7, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 10*w**2. Let o(i) = 185*i. What is o(y(c))?\nAnswer: 1850*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*o**2 - 450\/7*o + 2808\/7.\nAnswer: -3*(o - 6)*(o + 156)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*h + 330*h = 174 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.0883 (b) 2\/3 (c) 0.1 (d) 0.5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2*b - 7, 7*b + 47*g - 14*g = 30*g - 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 8:22 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/221796 and -43\/27270?\nAnswer: 3326940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*c**3*i**4 - 903*c**3*w**2 - c**3*w + 2*c*i**2*w**2 + 27*i**4*w**2 wrt i?\nAnswer: 360*c**3*i + 648*i*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.08 (b) -2\/13 (c) -5 (d) 0.3 (e) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124 + 128. Find the third derivative of -10*m**2 + 127*m**4 - 106*m**v - 32*m**2 wrt m.\nAnswer: 504*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - f)*(5 - 3 - 3)*(-3 + 0 + 0).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -58 (b) 140\/11 (c) -1 (d) -3\/155 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 - (-20)\/15*3 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 13*h**3 + 4*h**2 - 7*h + 8. Let m be u(2). Let r = m + -62. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:22 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -189 - -187. Let s = -5 - -9. Which is the second smallest value? (a) 1 (b) j (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -779, -635, -4, -5 in decreasing order.\nAnswer: 2, -4, -5, -635, -779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2361260 (base 14) to base 3\nAnswer: 1011210221000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 10241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 - 2*i - 2. Give d(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/504 + 14843\/2520. What is the common denominator of 77\/10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -13*w**3 - w**2 - 2*w + 2. Determine f(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2355624?\nAnswer: 2, 3, 32717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 156356044 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101283374.\nAnswer: 2, 50641687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -22596, -0.54?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3 = 11. Let d be 1 + 4\/(4\/g). Let l be 22\/24 - 2\/d. Which is bigger: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y + 5. Determine t(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/141, -0.4, 796 in decreasing order.\nAnswer: 796, 1\/141, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10959 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + c?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -a - 6. Let u be 3\/((-2)\/a + 18\/9). Solve 3*s - u = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (7 - 13 - 0) - 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -2 + (-2 + -5 - (2 - 19))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(5*w - 2*w + 3*w) - 3 + 1 + w + 4.\nAnswer: -5*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 72310000 rounded to the nearest 1000000?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/3 - 11752340*p**3\/3 + 34529373868900*p**2\/3.\nAnswer: p**2*(p - 5876170)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -3 - -1)*1\/(-4). Put -4, -0.03, g in descending order.\nAnswer: -0.03, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1510, -3032, -4554, -6076, -7598?\n\"Answer: -1522*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, t: 1, v: 1, o: 1, z: 2}. Give prob of picking 2 s and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 24007035?\nAnswer: 72021105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-24)\/30*(-250)\/4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5594 + 7138. What are the prime factors of i?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.647655838 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - p**2 - 7*p - 3. Let s be d(-2). Is 10\/s*(-215655)\/(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35039 and 6813.\nAnswer: -238720707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6846 - 0.77. Let f = c + 0.0497. What is f rounded to three decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1.7, -0.4, -0.1, 0.29 in ascending order.\nAnswer: -1, -0.4, -0.1, 0.29, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) - (-2)\/6. Let g(k) = 2*k**2 + 17*k + 8. Let v(b) = -b**2 - 8*b - 4. Let f(c) = -2*g(c) - 5*v(c). Let l be f(-6). Solve -4*y + l = -h*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18528085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a64c (base 13) to base 7.\nAnswer: 1436543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**5\/15 - 2*w**2. Let q(u) = 43*u - 14*u - u**2 - 10*u - 19*u. Calculate q(x(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 11:50 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 9. Let n = -2 + j. Let i = -4 + 3. Which is the closest to 2? (a) -1\/2 (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-19) + 882\/798)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/12)*t)\/(t*t*t**(2\/35))*t**(2\/7)*t\/(t\/(t*t**(-10))) assuming t is positive.\nAnswer: t**(-4139\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/48614169 and 131\/5706?\nAnswer: 291685014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*u = 46. Let m = -22 - u. What is the units digit of (-4 - (m + -34)) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1800 - 1800. Which is bigger: 15\/52 or a?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-672)\/768)\/((-3)\/72). Solve 2*h = -2*n + 16, 2*h = -17*n + 14*n + q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -47.45027?\nAnswer: 427.05243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -20. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002408 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/475? (a) -2\/9 (b) 0.06 (c) 171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m + m**2 + 10*m - 19*m**3 - 21*m + 7*m**3. Let r be l(-1). Calculate the highest common factor of 60 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w**(-11)*w)\/w)\/w)\/w)\/(w*w\/w**(-20))*w**(-13)*w*w*w\/w**(1\/9)*w)**(10\/7) assuming w is positive.\nAnswer: w**(-3970\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -21, -2 in descending order.\nAnswer: 5, -1, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 2*s - 1, 4*s + 4*r = 9*r - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, y: 11}. What is prob of sequence oo?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/9815 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 60 + 44 - 213 - 2*l - 274.\nAnswer: -2*l - 383","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -76*m**2 - 6*m - 5. Let f(x) = 4*x - 33. Let o be f(8). Let w be r(o). Put w, 0, 3 in descending order.\nAnswer: 3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*p - 129 - 44 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4)*w)\/w**(2\/3)*(w\/w**5)\/((w\/(w\/(w*w**(2\/5)*w)))\/w))\/((w**(-1\/5)*w\/(w\/(w\/w**0*w)))\/(w*w**(-1)*w*w**(-2))) assuming w is positive.\nAnswer: w**(-178\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 2*f - 27 = -6*s, s - 3*f = 2. Let k be (s\/(-2))\/(76\/8). Is k at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -197 - -190.1. Let m = n - -3.3. Round m to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 7:22 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -34, -17, 44, 9 in ascending order.\nAnswer: -34, -17, 7, 9, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 175 = -3*t. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2. Suppose 6*q = 8*q - 4. Let l(o) = 14*o**q - 5*o - 16*o + 10*o**2. Let c(d) = 5*d**2 - 4*d. Let m(z) = -21*c(z) + 4*l(z). Give k(m(w)).\nAnswer: 81*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1309468*r**2 - 1435160 wrt r.\nAnswer: 2618936*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6 + 14 - 15 + 60108*u + 2*u**2.\nAnswer: 2*u**2 + 60108*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 + -11 + 986\/(-6). Let j = 172 + k. Let p = -8 + j. Which is the nearest to -2? (a) p (b) -1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4595264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 2, p: 2, g: 1, z: 2, v: 5}. What is prob of picking 1 l and 1 v?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*z - 59*z - 1614642 = 0. Let f = z - -612679. What is f rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**2. Let v(q) be the first derivative of q**2\/2 - 2. Let u(n) = -2*n. Let p(w) = 4*u(w) + 10*v(w). Give k(p(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*4\/(16\/(-42)). Let v = -52 + 56. Let q be v\/3*(-18)\/(-8). Sort 4, q, r in ascending order.\nAnswer: q, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1589 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20742318?\nAnswer: 2, 3, 61, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqliqqqlfo. Give prob of sequence if.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 - 8*d**2 - 8*d - 12. Let i(s) = 5*s**3 - 17*s**2 - 15*s - 25. Let x(o) = 2*i(o) - 5*t(o). Is x(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -301 + 433. Suppose 2*u - w = 64. Is u a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebmmmmzmbbbbmbebzem. Give prob of picking 1 z, 1 m, and 2 e.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76455524 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u**3 - 3*u**2 - 3*u - 5. Let i = -4 + 0. Is f(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.158 - 49432.7.\nAnswer: -49422.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*1\/6)\/((-3)\/18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 106, 3, 2.\nAnswer: -4, -3, 2, 3, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/5, -0.3, -3, -45?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1187*j + 9832*j - 39*j + 5239*j.\nAnswer: 16219*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2784490?\nAnswer: 2, 5, 307, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80830)\/(-4795)*(-4)\/(-2)*-7)\/(48\/(-24)).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -1 + sqrt(700) + sqrt(112)\/sqrt(4) + sqrt(28)\/(-3*sqrt(196)))**2.\nAnswer: -922*sqrt(7)\/21 + 212584\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71059*-26.\nAnswer: -1847534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -315.17 - -315. What is the third biggest value in -3\/7, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 466\/21 in -0.4, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1232)\/64)\/11)\/((-1)\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44.89 - 45. Let v = s - -0.51. Let x be 1*(4 - (-52)\/(-8)). Which is the nearest to -3? (a) x (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8523 - -1073941\/126. What is the common denominator of j and 17\/(-306)*(-17 - 848\/(-10))?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) -6 (c) 43.05 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q**(3\/7))\/q)\/q)**(-31) assuming q is positive.\nAnswer: q**(-93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j = -28*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3*n + 24 = -q, -n + 2*q + 3 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h + 1367 = -433. Let v be ((-100)\/(-12))\/(h\/(-72)). Solve 5*j - z + 7 = 0, 5*j + 5*z + v = -15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9*(-5520)\/460*(-78)\/128\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 108, 157?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(0 - (0 + -1)). Suppose 5 + 3 = -2*q. Let n(v) = -v**3 - 3*v**2 + 6*v + 6. Let g be n(q). Sort u, g, 4.\nAnswer: u, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4*x + 1)*(-3*x + 4*x - 3*x)*(2 - 3 + 2)*(0 - 3*x + 0) to i*x + g*x**3 + k*x**2 + r and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199\/184 <= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8) + ((-995)\/20)\/(-1). Solve -8 = -14*l - q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 m when four letters picked without replacement from {f: 3, m: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7721 rounded to 2 dps?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (60\/9)\/(3\/36). Suppose 2*p + t = 2*h, 0*p - 4 = -2*p. Suppose -k = 4*w - h, -4*k = 2*w - 17 + 3. Solve f + 2*z = 5, -2*f + w = 6*z - z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135*15.\nAnswer: -2025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/21)*t\/(t*t*(t*t**4)\/t)*(t\/(t*t**(-1)*t))\/t*(((t**8\/t)\/t)\/t)\/t*t*t assuming t is positive.\nAnswer: t**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlll when four letters picked without replacement from mlmlmllvlvvllmllmvl?\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 173 + -1387\/8. Let h = 11.5 + -17.2. Let w = h - -0.7. What is the closest to 1\/2 in -1, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 174 + -122. Let j(o) = o**3 - 35*o**2 + 4*o + 1058. What is the remainder when n is divided by j(34)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -1. Suppose -l - 3*s - 2 = 0, 24 = -q*l + 7*l - 4*s. Let m = -4 + l. Solve m = c, 5*n + 19 = 4*c + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 4*f + 6336 = 60*f. Let j = -70 + 157. Which is bigger: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629*p + 16*p = 7*p - 3828 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -24. Is (v\/21)\/(((-2)\/(-1))\/(-276)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 338*x + 2368. What is t(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-4)*(18 + -2). Let v be (-4)\/18 + o\/(-18). Let u(i) = -i + 2 - i - 3*i. Determine u(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.62 from -502235105770.\nAnswer: -502235105771.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 9*s = -2*r - 52, -s = r + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05576 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4 + u**3 + 7*u**2 - 2*u**3 - 6*u + 2*u. Is 7 a factor of n(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000693 to six dps.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (0\/2 - 7). Let l be (6\/v)\/((-9)\/(-12)). Suppose 149 + 89 = 2*p - 4*w, l*p + 2*w - 238 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 221495.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 0)\/(2 - 24\/16). Solve 2*x**2 + 240*x + 3600 - 3*x**2 - x**2 - 2*x**2 + q*x**2 = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 22*y**2 + 58*y + 129. Let r be v(21). What is the greatest common divisor of r and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cduugucuuuwcw. Give prob of picking 1 d and 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -25\/2. Suppose 0 = 4*x - 3*r - 44, r - 20 = -4*x + x. Suppose 4*m = m - 4*p + 28, 3*m - p = x. Which is the nearest to -1? (a) 0.2 (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19131 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2537958 and 636.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2 - 280\/(-96)) + (-84354)\/1224 + 29?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 286.4176 nanograms to grams.\nAnswer: 0.0000002864176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 149971695 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/4*16\/36. Let b = -1 - -6. Let s = b - q. What is the greatest common divisor of 27 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19\/11, -2\/11, 16\/5 in decreasing order.\nAnswer: 16\/5, -2\/11, -19\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1127, -1126, -1125, -1124, -1123?\nAnswer: -1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -776*f**5 + 8133250*f**4 - 28412110890*f**3 + 33071545170820*f**2 + 33355894682440*f + 255929266704 = 0.\nAnswer: -1, -3\/388, 3494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - z = -345 + 356, 0 = -4*z + 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n + 40*n + 2190 = 0. Let s = n - 372. Which is smaller: -43\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 175*i**2*z**2 + i**2 + 4*i*z - 14*z wrt z?\nAnswer: 350*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -26\/15*c**6 - 3 + 0*c**2 + 21*c + 3\/20*c**5 + 0*c**3 - 209\/12*c**4. What is the third derivative of j(v) wrt v?\nAnswer: -1248*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a week?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3001 + 3021. Solve 2*y + s - g = -3*y, -5*s = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22, -62, -110, -166, -230, -302, -382?\n\"Answer: -4*i**2 - 28*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8782*i**5 - 13957*i + 4241*i + 1151*i**5 wrt i.\nAnswer: -152620*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 8*q + 10. Let n be c(-2). Suppose n*y = 7*y + 5*a - 130, 0 = 4*y + 2*a - 96. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 2 + 5)*(-2*q**5 - q**4 + q**4).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(176) + -2 - (sqrt(176) + (sqrt(176) - 6*(sqrt(176) + -1 - sqrt(176) - sqrt(176))))) + -2 + -2 + sqrt(176) + -4 + 0)**2.\nAnswer: 864*sqrt(11) + 6660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.33 - 0.32. Let l = 25\/103 - -13624\/309. Let s = -44 + l. What is the nearest to 1 in f, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g = 0. Solve 0*b + 4*b = g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -283 and -0.021.\nAnswer: 5.943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.3 - 0.3. Which is the second smallest value? (a) 2 (b) s (c) -1\/4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + -155 + -12 + 1 + 23 - -24.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 + 2*x**3 - 4*x**3 - 4*x - 6*x to i*x + s*x**3 + t*x**2 + z and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 4 - 4, 3*r + 639 = 5*u. Let n(y) = u*y + 14*y + 17 - 17. Let c(g) = 11*g. Let t(h) = -77*c(h) + 6*n(h). Let l(o) = -4*o**2. Give l(t(k)).\nAnswer: -484*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10*w**2. Let f(p) = -12530317*p + 12530317*p + 275*p**2. Determine z(f(s)).\nAnswer: 756250*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11\/x)\/(x\/(x\/(x*x\/((x**(-9)*x*x)\/x*x))))*(x*x**(-1\/3))**(-13) assuming x is positive.\nAnswer: x**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, s: 1, c: 5, y: 4, u: 4, d: 3}. Give prob of picking 2 n and 2 c.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - 31 - (6 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, e: 1, b: 2}. Give prob of sequence bwe.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 560 and 59248.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j. Suppose -3*a - 23 = -h, -9 = a - 4*h + 3*h. Let i(y) = 9*y - 6. Let o(r) = -10*r + 7. Let n(w) = a*i(w) - 6*o(w). Calculate u(n(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let k(d) = 1053*d**2. Determine k(c(g)).\nAnswer: 1053*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 2*d + 3. Let l(r) = 19*r**2 - 2*r + 10. Give -l(z) + 3*u(z).\nAnswer: -16*z**2 - 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96235.96 meters to centimeters.\nAnswer: 9623596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/6)\/(6\/10)*20\/(-400).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*(1*sqrt(152) + sqrt(152))\/sqrt(8))**2.\nAnswer: 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4\/11 + 65314*p**3\/11 - 538974164*p**2\/11 + 93397019520*p\/11 - 275342054400\/11 = 0. Calculate p.\nAnswer: 3, 174, 16240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c**5 + 2510*c**4 + 2698*c**2 + 3*c?\nAnswer: -300*c**2 + 60240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2325 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/60, 3, -2\/3, 6, 187\/12 in ascending order.\nAnswer: -2\/3, -1\/60, 3, 6, 187\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**3 - 2*c**2 - 2*c + 2. Let v be l(1). Let w be (-2 - 3)\/(2\/(-4)). Solve 2*h - w = 2*k + 4*h, v*k + 2 = 2*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*l + 93, -5*l + 159 = 4*m - 0*l. What is the remainder when m is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 3)*(4 - 5 + 0)*(-17*t + 64*t + 19*t).\nAnswer: 396*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-13)*k*k)\/k)**(2\/17) assuming k is positive.\nAnswer: k**(-22\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*f + 16 = 0, -4*m - 1 + 19 = f. Let h be m\/(-12)*1*15. Let v = h + 24. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.1 + -8.1. Suppose -19*j = -18*j + 97. Let t = j - -94. What is the nearest to 1\/3 in u, t, 24?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 0*b**3 - 1\/11*b**2 - 1\/165*b**6 - 9*b + 1\/33*b**4 + 0*b**5 + 0. Find l such that r(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -1.32, -245\/4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**4\/6 - d. Let t(l) = 10*l**2 - 5*l - 5. Let m(f) = -5*f**2 + 3*f + 3. Let c(k) = -5*m(k) - 3*t(k). What is c(u(x))?\nAnswer: -20*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + i**2 - 1. Let v be q(-2). What is the closest to 0 in -2\/27, 1, v?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 22.1129649us?\nAnswer: 0.00000000025593709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -77977, -76672, -75367?\n\"Answer: 1305*t - 79282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**3 + 31134*b**2 - 20430*b**2 - 10698*b**2.\nAnswer: 5*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k - 9. List the prime factors of y(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t = 464 + 2128. What is the derivative of 142*z**3 + 57*z**3 + t + 40 wrt z?\nAnswer: 597*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b - 8*b**5 - b**4 + 0*b**2 + 8 + 28*b**3 - 3*b**2 - b**2 - 3*b**4 = 0.\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - f**4 + 2*f**4 + 3*f**4 + (-f + 0*f + 0*f)*(-f**3 - f**3 + 4*f**3).\nAnswer: 2*f**4 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011101101101100010 - 1000?\nAnswer: 100011101101101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(3 + -1) - 4. Which is the biggest value? (a) -1\/5 (b) k (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 > 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 9*a**5\/25 + 3*a**4\/10 - 37*a**3\/5 + 18*a**2\/5 - 1602. Suppose u(i) = 0. Calculate i.\nAnswer: -4, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1986088 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1596*f**3 - 2 + 771*f**3 + 14*f + 569*f**3 + 3*f.\nAnswer: -256*f**3 + 17*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + (-889)\/380 + 126\/2688*32 and 97\/24.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 6724440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12120 (base 3) to base 14\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 7.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c - 2*c**3)*(5 - 4 - 2) + (8*c + 6 - 6)*(-2*c**2 + 3 - 3).\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 356582*x**3 - 5 - 356590*x**3 - 5 - 2*x**2 - x to the form j + f*x**2 + p*x + c*x**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 7*d + 0*d - 16*d + 2 + 5*d.\nAnswer: -17*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 5*j**2 - 7*j + 4. Let c be n(-6). Let f = c + -6. Suppose 3*x + 7 = f*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i + 1. Let r be f(-1). Let t = r + 14. Suppose t = 3*v - 26. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 828*g**2 + 14*g + 2678. Let d(p) = -166*p**2 - 3*p - 536. Let l(w) = -14*d(w) - 3*u(w). Find the first derivative of l(n) wrt n.\nAnswer: -320*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 13) to base 5\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, f: 1, q: 2, e: 2}. What is prob of sequence fb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10311182 by 406.\nAnswer: 25397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 + 0.1. Let u(o) = o**3 + 16*o**2 - 15*o + 34. Let i be u(-17). Suppose -j - 1 = -i. Which is the nearest to 1? (a) -2\/5 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 178 - 174. Suppose 25 = -5*q, 2*f - j*q = -2*f + 40. Calculate the lowest common multiple of f and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275, -550, -815, -1064, -1291?\nAnswer: -1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**4 - 10162597*k**3 + 113836*k**2 - 3 wrt k?\nAnswer: 48*k - 60975582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/12*6\/4. Suppose -t*y = -62 + 17. What is the remainder when 34 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27686 (base 10) to base 14\nAnswer: -a138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 4 = -5*k. Suppose 0 = -2*i + k*i + 44. Let n = i - -44. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 122 - 29. Let t = u + 19. Let q(p) = -t*p + 4*p**2 + 112*p. Let o(b) = 5*b**2. Calculate q(o(g)).\nAnswer: 100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j + 34. Let h be t(-8). Solve -h*g - 6 = 4, -25 = 2*r + 5*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s. Let h be v(1). Let d = h - 13. Does d = -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**4 + 522*m**3 + 513*m**2 - 1038*m = 0.\nAnswer: -173, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-60)*5)\/(3\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -56 and 0.256482.\nAnswer: -55.743518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/8 and 3 + 5 - (-6 + (-4512)\/(-570) + 6)?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y**2 - 67*y - 33. Determine j(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*r + 9 = 11, 4*r - 12 = -4*c. Suppose 5*h + 4*v = 14, c*v - 12 + 0 = -5*h. Put -1, -156, h in ascending order.\nAnswer: -156, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24330300 rounded to the nearest 100000?\nAnswer: -24300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*z**5 - 391887*z**3 - 344*z - 22594 wrt z.\nAnswer: -80*z**3 - 2351322*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 4, k: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2534*-46.211\nAnswer: -117098.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -4. Let q be 1\/(2*l\/(-24)). Is (-384)\/(-27) - q\/18 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 454075 or 454074?\nAnswer: 454074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 195267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o = 120. What is the second derivative of 24*y + o*y**2 + 10*y + 23*y**2 wrt y?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*a - 4*q - 897, 3*q = -3*a - 897. Suppose 12*i = 6*i - 1218. Let b = i - a. Is 32 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 - 2)*(0*i**3 - i**3 - i**3) - 3*i**3 - 3*i**3 + 5*i**3)*(0*i**2 + 3*i**2 + 8*i**2 + (4 - 2*i - 4)*(i + 3*i - i)).\nAnswer: 25*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -183 and 1.85.\nAnswer: -338.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202203310 (base 4) to base 10.\nAnswer: -141556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13795781?\nAnswer: 503, 27427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -1157 in ascending order.\nAnswer: -1157, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k = -2*k - 85 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1083*k - 1872 = 1005*k for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/7 + 6474*y**2\/7 + 12942*y\/7 + 6470\/7 = 0. Calculate y.\nAnswer: -3235, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144599 is divided by 27366?\nAnswer: 7769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3720 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 94, 370, 836, 1498, 2362, 3434?\n\"Answer: d**3 + 89*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -216214815 divided by -72071605\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2493 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -45, 30, -8767?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((3\/30)\/((-12)\/810))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.27 in 1\/4, -13, -5, -2, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -860, 0, 4\/9 in increasing order.\nAnswer: -860, 0, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-35))\/(62\/434)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 2*a = -1, -121*a - 31 = 2*z - 116*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 + 18*r - 43. Let j be g(14). Suppose -k + 2*t = 130 - 667, 5*k = t + 2694. Let w = k + j. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/5, 0.1, -11, 1, 0.082?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -154\/12486687 + 669442053128\/734511. Let k = 911815 - q. Let z = k - 403. Which is the nearest to -2\/9? (a) z (b) -4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18319523*w**2 + 8005509 wrt w?\nAnswer: -36639046*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 535 and 36659.\nAnswer: 19612565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b - 16. Let u be s(-4). Suppose 2*o - 4 - 2 = -w, o - 59 = -u*w. Suppose w*j = 18*j - 92. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brrrrbrrbbbcccrcbbc. Give prob of picking 2 b and 1 r.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 1)*3\/2. Suppose -19 = -4*a - 5*t, y*a + 4*t = -0*a + 14. Calculate the least common multiple of 14 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**2 + 27 + 12*j - 2\/3*j**3. Factor m(p).\nAnswer: -2*(p - 3)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 8*y - 8. Let g be w(-9). Solve 4*x = -g + 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97083710209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -c325?\nAnswer: -c325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, 1, 18, 45?\n\"Answer: 5*v**2 - 8*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -89*u**3\/6 + 4*u**2 + 13*u. Is b(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -3 (b) 758 (c) -5 (d) 734\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 297\/273 + (-28)\/(-196). Factor 32\/13 + 2\/13*p**2 + u*p.\nAnswer: 2*(p + 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.12 and -98408745.\nAnswer: -98408744.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**3\/5 + 17*o**2\/5 - 2849*o\/5 - 78033\/5 = 0.\nAnswer: -37, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 32 = -0*b. Let c = b + -4. Suppose 0 = -p - 5*t + 15, c*p - 2*t + 6*t - 28 = 0. Solve 2*u + p = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179722\/7 + 25675. Let t = -0.5 + 0. Which is the closest to 2? (a) t (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102a481 (base 13) to base 14.\nAnswer: 91a214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*v + 1 = 107*v. Calculate the remainder when 36 is divided by 2\/(2 - 0)*(18 - v).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - 5*w + 2*w)*(-727 - 2*w + 0*w - 6087146*w**2 + 6087145*w**2) in the form o*w**2 + a*w**3 + z*w + c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/12 + 38\/(-6). Let l = 10 + a. What is the common denominator of 507\/270 + l\/10 and 107\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from weohwezwwewohozoww. What is prob of picking 1 w and 1 z?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 385 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (78*k**3 + 59*k**3 - 269*k**3)*(4*k - 4*k - 2*k) as z*k + p*k**4 + q*k**2 + c + r*k**3 and give p.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o + 2*y = -10, -4*y = 5*o + 20. Let c = 5.2 - 0.2. Sort 2, o, c in increasing order.\nAnswer: o, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (-32)\/((-48)\/6). Solve -3*y - 2*x - 2 = m, -5*y + 2*x + 0*x - 30 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 - -3.01. Let d = -215.8 + 223.8. What is the closest to d in 5, y, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133 - 143443?\nAnswer: -144131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2963*b = 39*b + 308*b + 80962 - 7714 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -1\/5, -21.7, 5\/8.\nAnswer: -21.7, -1\/5, 0.02, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -27, 2, -6306, 7, -4 in increasing order.\nAnswer: -6306, -27, -4, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from mwww?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by 222?\nAnswer: -35\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 9*j. Let n(g) = -14*g**2. What is p(n(m))?\nAnswer: 392*m**4 + 126*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.24 + -0.04. Which is the biggest value? (a) f (b) 1 (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) -18 (c) 0.3 (d) 1 (e) 0.1 (f) 0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 54620?\nAnswer: 54627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-18))\/(((-520)\/16)\/13*(-48)\/(-990)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-160))\/((-2)\/(4\/(-3))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101011100 (base 2) in base 10?\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84 - -198. Suppose 13 = m - r. Suppose m*q = 122*q + 10. Solve 2*l + 4 = 2*w, l - q*l + 4*w - 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2170, -2153, -2132, -2113, -2102?\n\"Answer: -d**3 + 8*d**2 - 2177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/13, 0.4, 0.1, 0.04?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -40*p + 24. Calculate m(3).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2\/7 + 36467418*v + 775759002425589 = 0. Calculate v.\nAnswer: -42545321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 4*x**2 - x + 1. Let d be l(-4). Solve 5*k = -0*k + d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*u = -100*u - 121*u - 1210 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.062? (a) -5 (b) 0.2 (c) -2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 64813736, 129627474, 194441212, 259254950?\n\"Answer: 64813738*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 12, 2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5407)\/(-285) + 413\/(-133) + 3. Let o = -61\/5 + j. Calculate the common denominator of o and -131\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2. Let a(j) = 22819*j - 22819*j + 4*j**2. What is -6*a(h) + 33*f(h)?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(8\/3))**(-8\/3)*d**(-3\/5)\/d*d**(-12) assuming d is positive.\nAnswer: d**(-932\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n. Let l(j) = -13*j**2 + 19*j - 2. Let w(s) = -3*l(s) - 24*t(s). What is the tens digit of w(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10665612 and 6036.\nAnswer: 6036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -3)\/(3\/6). What are the prime factors of 15\/6 - 53\/t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8101, 0.5, 0, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.5, 0, -0.8101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10 - (-1748)\/130 - (-322 + 1037632\/3224)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191446120 a multiple of 1543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o + 9*o - 209. Let s(n) = n**2 - n - 9. Let j be s(7). What is the highest common divisor of j and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.59 - 25.41. Let s = -53.527 + 27.549. Let g = y - s. Round g to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 1807*l**3 - 4*l**2 - 2*l - 849. Let h(r) = 2*r**2 + r + 3. Let y(n) = -2*h(n) - q(n). What is the derivative of y(i) wrt i?\nAnswer: -5421*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05313*355.\nAnswer: 18.86115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -447*j**2 + 2*j**4 + 1657*j**3 - 3137*j**2 + 1460*j**3 - 3391*j**3 wrt j?\nAnswer: 48*j - 1644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 49*o**2 - 8*o + 145. Calculate the least common multiple of x(7) and 10.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 497*y**6\/24 + 67*y**5\/10 + y**4\/12 - 5*y**2 + 55*y - 2. Find the third derivative of x(s) wrt s.\nAnswer: 14910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60272 is divided by 1688.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2207 + -2181. Calculate the remainder when m is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-5\/3))\/a)**19\/(a\/(a\/(a\/a**(-2)))*a**(3\/4)) assuming a is positive.\nAnswer: a**(-425\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14202, 14556, 15214, 16230, 17658, 19552, 21966, 24954?\nAnswer: 28570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86488392871 + -5224763813013471\/60410. Let g = -1\/4315 + y. Calculate the common denominator of 75\/2 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*q - 10*q - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/15)\/(1\/(-5)). Suppose -3*n + 2*n - 3947 = -b, 0 = -b + i. Let o = n - -70861\/18. Calculate the common denominator of o and 37\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qapa when four letters picked without replacement from aqpaaaaaaaaaaaaaaa.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 3546 = -10*z. Let s = -439 + z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 1 = 4*a - 5, 2*a = -2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39.7 - 198637.\nAnswer: -198676.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 10*r + r. Suppose r = 2*w - 967 + 165. List the prime factors of w.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 691b0e + 3?\nAnswer: 691b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**2\/2 + 2*y + 7. Let v be s(-6). Suppose -3*p + 7*p - v = 0. Solve -4*x = -p*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j + 22. Let t = j - -7. Does 9 divide 2*7 - (t - -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9589 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3493.2382 times -8?\nAnswer: -27945.9056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2349.38 and -14887144?\nAnswer: 14889493.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5\/5 + -4 + (-17 - -1592)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (1 + -9 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*k - 115 - 1318 - 474 - 631 for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o + 3. Let b(a) = a - 1. Let m(d) = 6*b(d) + u(d). Let i be m(5). Let f be ((-8)\/10)\/(i\/(-30)). Solve -f*c - c = 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -98, 1 in descending order.\nAnswer: 1, -2, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/655 and 1\/12890?\nAnswer: 1688590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 790 + -844 - (-12 - 3).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 342, 761, 1252, 1803, 2402, 3037, 3696?\nAnswer: 4367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -233311224001 - 4?\nAnswer: -233311224010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40432.51*1.3.\nAnswer: 52562.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -2*f - 5*y - 26 - 6 - 30, -5*y - 12 = -6*f + 86 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*z - 456 = 234*z. Is z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 7*q**2 + 7*q + 1. Let y(u) = u**3 + 4*u**2 + u - 2. Let f be y(-4). Calculate o(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 2\/11 (b) -2\/389 (c) 111.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 5*y**6 + 232*y**5\/5 + 122*y**4 + 140*y**3 + 77*y**2 + 20*y - 338. Solve t(s) = 0.\nAnswer: -5, -1, -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 11*p + 5. Calculate the remainder when f(-10) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0\/(-1) + 46 + (37 - 41) is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 13. Calculate the remainder when 22 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -93*m**3 + m**2 - 5*m + 5. Let b(z) = -140*z**3 + 2*z**2 - 8*z + 8. Give -5*b(i) + 8*r(i).\nAnswer: -44*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7281 - 45*d**2 + 7281.\nAnswer: -45*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 m when three letters picked without replacement from bbfmbebfbebebezbbfeb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + k**2 - 2*k + 5. Let w be j(0). Suppose -5*f + n + 477 = 0, 4*n - 300 = 2*f - w*f. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.225 (b) 2\/13 (c) -0.2 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from {i: 2, p: 1, y: 2, m: 2, u: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 199\/882 - 1\/294. Sort -1\/2, v, -11 in increasing order.\nAnswer: -11, -1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z + 639*z**4 + z**2 - 643*z**4 - 5 + 0*z as l*z**4 + b + v*z + w*z**2 + a*z**3 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -92, -4\/3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 543\/70768 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 60. Let a(c) = -25*c + 45. What is the remainder when a(h) is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2805877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.2, -0.11, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 4 + 4)*(x + 0 + 0) + 4*x - 3*x + x + x - 1 + 1 - 5*x + 3*x - 3*x)*(-5*x**4 + 5*x**3 - 5*x**3).\nAnswer: 15*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2679276, 5358556, 8037836, 10717116, 13396396, 16075676?\nAnswer: 18754956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozccccqcccociczc. What is prob of picking 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3097.\nAnswer: 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -12. Solve -j - m*s = -1 + 6, -2*j - 5*s - 4 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 5*p - 66. Let s be c(11). Solve -3 = -3*o - s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (219 - 3)\/4. Let k be 446\/(-18) - 12\/z. Let t = k - -22. What is the smallest value in t, 1, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30913\/6940 - 3\/694. Let j = 71811\/14 + -5122. Calculate the common denominator of j and a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 70074525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaahrchfacaaaccfaaac. What is prob of picking 2 f?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -37*j + 87. Let u be k(2). Solve 2*r = 2*g, 4*g - u*r = -8*r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -21, 0.2, 12, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*v**4 + 553*v**3 - 8*v**2 - v - 192759 wrt v?\nAnswer: 108*v**2 + 3318*v - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 - b + 5. Let s be k(-3). Let z = s + 22. Let y(d) = -7 + 13 - 4 - d**2 - z*d. Determine y(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27569, 110359, 248353, 441551, 689953, 993559?\nAnswer: 1352369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + l**2 + 9*l + 12. Let c be h(4). Put -4, c, 63 in decreasing order.\nAnswer: 63, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x = 236. Let q = x - -92. Let z = 56 - q. What is the least common multiple of z and 20?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9457515?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 12 - 20)*(2*k + k - k) + 0*k + 4*k - 2*k - 2*k + 0*k + 0*k + 29*k + 31*k - 63*k to the form x*k + c and give x.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1137)\/(-4169) + (-379648)\/(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68239.81 * 30.\nAnswer: 2047194.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11587612 - 25?\nAnswer: 11587587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i**(-2))\/i*i*(i\/((i*i*i**(8\/5)\/i)\/i))\/i*(i\/(i\/i**(-14)))\/((i**(2\/9)\/i)\/i) assuming i is positive.\nAnswer: i**(-577\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*c + 46*c = -z + 5252, 5*z - 26329 = -3*c. Is 47 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -23*w. Let t(p) = 17952*p - 36960*p + 18248*p. Calculate -133*b(r) + 4*t(r).\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*f**4 - f - f**3 + 5*f**2 + 2*f + 16 + 14*f**2 - 14 - 7*f**2 to g*f + s + j*f**3 + q*f**2 + l*f**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4144 and 5040?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1136577.34100085 - -1136553.341. Let r = 54 + -78. Let l = w - r. What is l rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -5 (b) 2 (c) -1\/99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 19.8, -139\/2, -4 in descending order.\nAnswer: 19.8, -4, -139\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 2*w + 5*h - 1 = 0, 3*w = 4*h + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 747470911, 747470930, 747470963, 747471016, 747471095, 747471206?\nAnswer: 747471355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-1 - 8\/(-48)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2443028, -2443021, -2443002, -2442965, -2442904, -2442813, -2442686, -2442517?\nAnswer: -2442300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24874, -24871, -24868, -24865, -24862?\nAnswer: -24859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -21*-5*4\/12. Suppose -2*c + 5*l = 10, 5*l = -3*c + g - 0. Solve -13 = -2*k - c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2)\/(39\/4). What is the closest to w in -3\/8, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*u - 162*u - 32 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/14, 0.4, 2, -2\/13 in decreasing order.\nAnswer: 2, 0.4, -2\/13, -3\/14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 7610*l + 7608.\nAnswer: 2*(l + 1)*(l + 3804)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2393658 - 8433*q + 2393658 in the form a + r*q and give r.\nAnswer: -8433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from yyydydydyyydf?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/15)\/((-1500)\/(-375)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)\/b)**(-14)*b\/(b*b\/b**13)*b\/((b**(1\/3)*b)\/b))**2 assuming b is positive.\nAnswer: b**(244\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 118 - 18. Let i = -22 - b. Suppose i*g - 946 = t, -5*g + 1570 = -2*t - t. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 + -81. Calculate the remainder when j is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*c - 47*c = -20965. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6494 = 311*v + 99*v - 28*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*5*6\/(-60).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyaswes. What is prob of sequence yawi?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + sqrt(208)*-1*5 - sqrt(208))**2 - (sqrt(208) + 3 + -1 + sqrt(208)) - ((-2*sqrt(130)*-1)\/sqrt(10) + 4).\nAnswer: -10*sqrt(13) + 5194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 683 - 666696675446.\nAnswer: -666696674763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 7:34 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 0*m**3 - 3\/2*m**8 - 7\/12*m**4 + 24 - 3*m + 0*m**7 + 0*m**5 + 3*m**2 + 0*m**6. Find the third derivative of f(g) wrt g.\nAnswer: -10080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -2*k**7\/7 - 183*k**4\/4 - 146*k**3\/3 + k**2\/2 - 601. What is the third derivative of z(a) wrt a?\nAnswer: -240*a**3 - 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -4*n**3\/3 - n**2 - 2597*n. Let u(c) = -c + 1. What is f(p) - u(p)?\nAnswer: -7*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 54.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-325)\/(-390) + (-98)\/(-12) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 4*z - 5*n + 39, 5*n - 27 = -z. Solve -5*i = -13 - z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12019, 12034, 12045, 12052, 12055, 12054, 12049?\n\"Answer: -2*l**2 + 21*l + 12000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d53 - 4?\nAnswer: -6d57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - (-425)\/(-110))\/(27\/(-36)). What is the closest to 1 in -3, 0.2, 0.1, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -12*f - 330. Let r be n(-27). Let v be (r\/(-11))\/(45\/330). Solve 0 = v*d - 5*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679905161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j + 17. Let d be y(0). Let g(r) = -3*r**2 + 22*r - 5. Let v be g(7). Solve 0 = v*s - w - 7, -4*s + 7*w - 4*w + d = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5715\/175978 - 21\/842. Find the common denominator of s and 41\/3.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 333 - 72 = 5*c, -4*c + 3*i + 209 = 0. Let s be 105 - (5 - 1) - -4*1. Let r = -91 + s. Calculate the remainder when c is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/15 - (-164)\/20. Solve -7*p = -3*p - i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -467 - -431. Let v be (-4621)\/2 - (-3)\/6. What are the prime factors of v\/x - (-1)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r - 97 = 2*l, 2*l = -2*r - 94. Let f = l + 22. Let k be (-2)\/(-12)*f\/21. Which is the second biggest value? (a) 1\/6 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -3576226.\nAnswer: 2\/1788113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 613737*b**2 - 3*b + 2148841?\nAnswer: 1227474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i - 20. Let k be u(6). Solve 19 = -h + 4*m, -k*h - 2*m = -0*h - 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.02 minus 3426?\nAnswer: -3421.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 363040 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -33*r**2 + 194*r + 23. Let z be h(6). Do z and 9\/82 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -82, -260, -602, -1162, -1994?\nAnswer: -3152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/242 and -63\/17182.\nAnswer: 17182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1188, -0.3, 1, 5?\nAnswer: -1188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*d + 131, -8*d - 83 = -6*d + o. Let k(z) = 4*z**2 - 4. Let y be k(4). Let f = d + y. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/4 or 7?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - a**2 - 15*a + 16. Let f be b(6). What is the first derivative of f*h**2 - 106*h**2 + 19*h**4 + 18*h**4 + 28 wrt h?\nAnswer: 148*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f = -72. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34623840 by 1.\nAnswer: 34623840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/18 and -23\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202122 (base 3) to base 14.\nAnswer: 2bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -37. Calculate the lowest common multiple of 10 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:32 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (136 - 8814\/65)*(-845)\/(-184) - (-14)\/(-8)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 2*f**3\/3 + 42*f**2 + 882*f - 110. Find j, given that x(j) = 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 - -94. Suppose 7*r - y = 43. Suppose 0 = -r*v + 3*v + 60. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*3108*(-39)\/(-6552).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = 15*c - 15. Let n be (-55)\/c - 4 - (-50)\/6. Solve n + 4 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g**3 - 126*g**2 + 320*g - 72 = 0 for g.\nAnswer: -18, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p**4 - 51772*p**3 - 1498804*p**2 - 10072020*p + 11622600 = 0.\nAnswer: -12914, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -442 - 30754?\nAnswer: -30b96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(4 + 36\/(-10) + 0). Let c be f\/(10 - -5) + (-2)\/6. Let n be 0\/(-2) - 2\/(-10). What is the nearest to c in 8, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, j: 2, l: 5}. Give prob of sequence rj.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 6:31 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1168509814 to the nearest integer?\nAnswer: 34183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/23*p**2 + 6\/23*p - 36\/23 = 0 for p.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2233 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/16380 + (-4)\/(-112).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -2c3?\nAnswer: 2c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*y = -83*y + 9598131 + 1606269. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z + 4. Let g(r) = r + 1. Let x(w) = -2*g(w) + p(w). Calculate x(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 5*i + 0 + 1. Let b be z(1). Let g be 14 + 1\/((-1)\/b). Solve c = 5*c - g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 3*o + 0*o)*(195 - 195 + 5*o).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {s: 1, n: 1, x: 1, l: 1, e: 1, i: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5673*p - 198723 = -2682*p + 277929 + 701403 for p.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 677502 to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*l - 0*l, 5*a = -4*l - 4. Let x = -1 + l. Let s(z) = -10 - 251*z**2 + 123*z**2 - 9*z - z**x + 120*z**2. Determine s(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 3*n + 69, 4*n + 0*n = 2*c - 12. Let z = 11 - c. Is 9 a factor of (3\/(-9))\/(z\/57)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3510 (base 8) to base 5.\nAnswer: -24424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/7, -9, -14\/15, -5 in descending order.\nAnswer: 1, -2\/7, -14\/15, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-26) + (-96)\/(-208) + -1 + (-325)\/90?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8492732043822 - -0.3\nAnswer: -8492732043821.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 60, 1\/7, -3\/10, 4\/5?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 30 = -5*h, 7*n = -4*h + 3*n + 24. Let t be 16\/6 + 2\/(-3). Suppose h*f - t*f = 32. What is the remainder when f is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 86.63277 micrometers?\nAnswer: 0.08663277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2378 = 34*v - 509 + 205 for v.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*t**2 + 517 - 232*t**2 - 517.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, a: 1, t: 7}. What is prob of picking 1 t and 1 a?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-16\/7))\/(a\/a**(-16)*a))\/(((a\/a**(-7\/2))\/a)\/a*a*a\/(a*a**(1\/4))) assuming a is positive.\nAnswer: a**(-503\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(240)\/(2*sqrt(5) - sqrt(5)) + sqrt(48))\/(2*sqrt(4)*1) + 4 + (sqrt(768) + sqrt(12) - sqrt(48)\/(sqrt(12)\/sqrt(3))))**2.\nAnswer: 36*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 27*t - 4*h + 911 = 0, 3*h + 918 = -5*t. Let p = -183 - t. Let v be (-10)\/(-7) - 2\/2. What is the smallest value in -8, v, p?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39029707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*r**2 - 2*r**4 - 2 + 1 as j*r + w*r**4 + k*r**3 + v + g*r**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13231334 to the nearest integer?\nAnswer: 3637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 7) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (24 - 1) - -7.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 251143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112503 by -3773.\nAnswer: 112503\/3773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 4:48 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**4 + 60*g**3 + 2*g**2 - 1436*g - 45283228 wrt g.\nAnswer: 8*g**3 + 180*g**2 + 4*g - 1436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 98 - 82 = 0. Let y(m) = m + 1. Determine y(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4589 + -1522. Suppose 10*b = -437 + l. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1.35, -4 in descending order.\nAnswer: 1.35, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6562 + 16623. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 13 + 7 - 64*u + 458*u in the form x + l*u and give l.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 t, and 1 e when three letters picked without replacement from {e: 1, g: 2, m: 2, t: 1, i: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 7, d: 1, h: 1, g: 2, w: 2}. What is prob of sequence jhd?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -5. Let t(n) = -n - 15. Let w(h) = -4*h - 46. Let c(x) = -7*t(x) + 2*w(x). Let l be c(0). Solve -2*g = -l + q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 17 = x + y, 2*x - 3*y - 39 = 0. Solve -4*h + 5 - x = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2353.8 to the nearest 10.\nAnswer: -2350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97.922 + -98. Let o = g + 0.678. Which is the third smallest value? (a) 2\/3 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 385300046 - 78.\nAnswer: 385299968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**9\/36 - 17*u**5\/60 + 7*u**2\/2 + 5. Let f(l) be the second derivative of w(l). What is the third derivative of f(s) wrt s?\nAnswer: -1680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, o: 1, z: 3, w: 2}. What is prob of picking 3 z and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7*h**2 - 695*h - 200. Let r be f(-99). What is the closest to 2625 in 0.2, r, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 1. Let i be h(-3). Suppose -2*t + i = 82. Let g = t - -63. What is the remainder when g is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 10 = 2*v, -3*x + 4*x - 3*v = 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - (2 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -296, -602 in descending order.\nAnswer: -2, -296, -602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 17*f - 35. Suppose 5*t + 84 = -11. What is the smallest common multiple of z(t) and 5\/(2\/8*2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrroorrrrrorror. Give prob of sequence or.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 173989, 347976, 521963?\n\"Answer: 173987*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -639 - -1625. Is j a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216984677 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 162757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 5 - 0\/3. Which is the nearest to 0? (a) 0.4 (b) u (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 37 = -5*p, -4*p - 16 = 5*s - 49. Suppose -2*l + p = -9. Let y(x) = x**2 - x. Let v be y(4). Calculate the highest common factor of l and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 6*g + 21. Let w be c(-4). Suppose -17 = -10*l + w. Solve -4*o + 0*o = 5*j - 21, 3*o + l = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4163 and 11403.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**2 + 3*i**2 + 3*i**2 + (i - 3*i + 0*i)*(-3*i + 5*i + 0*i) - 3*i**2 + i**2 + 4*i**2 in the form o + a*i + t*i**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -2. Suppose 20 = 3*x - r. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010011111001101 (base 2) to base 7.\nAnswer: 2015304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {g: 5, m: 12, v: 1}?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 266?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1146, -7, -0.3 in increasing order.\nAnswer: -1146, -7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 305942.\nAnswer: 2753478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/3 (b) 5 (c) 1\/2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3141.5316 + 3142. What is h rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/79 - -73\/237. Let v = -31.1 + 25.8. Which is the third biggest value? (a) v (b) k (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*h + 1, h = 4*w + 4*h - 1. Is w >= 10\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*r - 220*r - 439*r = -18879 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06518721 rounded to five decimal places?\nAnswer: -0.06519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g. Let f(c) = -22996171*c. Calculate f(l(p)).\nAnswer: 45992342*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 19*l**2 + 19*l + 19. Let x(d) = -73*d + 11. Let f(h) = 134*h - 20. Let y(k) = -6*f(k) - 11*x(k). Calculate g(s) + 19*y(s).\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3398, -2070, -11176, -23914, -40278, -60262, -83860?\n\"Answer: s**3 - 1825*s**2 + 5222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3759955, -3759964, -3759977, -3759994, -3760015, -3760040?\nAnswer: -3760069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*x + 136 = 0, d - 4*x = -6*x - 72. Let h be 1 + -1 + d\/(-2). Calculate the greatest common factor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011111010 (base 2) to base 5\nAnswer: -20044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 106\/13 < 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38 and 34.\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 16. Let g be (-4)\/(-3)*((-7 - c) + 2). Let p(a) = a**2 + 2*a - 1. Calculate p(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1774265 and 365.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(684) + sqrt(684)*2)*-2 + (-1*(sqrt(684) - (sqrt(684) + -1))**2 + sqrt(684) + sqrt(684) - sqrt(684))*1.\nAnswer: -30*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530*c - 378*c - 4712 = 0. Let i(a) = 4*a - 114. What is i(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 4 - (-13 - -11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 + 45 + 10*b + 40 + 3*b**3 - 87 as c*b + z*b**2 + h + k*b**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16594 from -0.3.\nAnswer: 16593.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) - 2*(1*sqrt(198) + sqrt(198) + sqrt(198))) + sqrt(198))\/(4*((sqrt(6)\/sqrt(3) - sqrt(2)) + sqrt(2)) - (1*sqrt(2) - sqrt(2))*-6).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2131*l**5 + l**4 + 381*l**2 - 11*l?\nAnswer: 127860*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpf when three letters picked without replacement from {g: 2, w: 3, f: 9, p: 3}?\nAnswer: 27\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -7351647.\nAnswer: -7351647.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/27)*((d*d\/d**(2\/47))\/d*d)\/d)**(3\/22) assuming d is positive.\nAnswer: d**(631\/4653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j. Let r(n) = 134*n + 1. Let w(p) = 69*p + 2. Let m(o) = -2*r(o) + 3*w(o). Calculate c(m(v)).\nAnswer: 183*v - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89.89 + 90. Put -2\/7, 2\/5, u in ascending order.\nAnswer: -2\/7, u, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*sqrt(80) + -4 - ((sqrt(80)*-1)**2 + 5) - (sqrt(80)*-1 + 3 + (4*-2*sqrt(80))**2 + -5)).\nAnswer: 24*sqrt(5) + 15621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*(-5)\/260)\/((-252)\/168).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1896 (base 14) to base 16\nAnswer: -115c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(3\/8)\/(h*h*h**(-2\/17)*h*h))\/(h**(-1\/2))**(2\/53))**(-6\/13))**(-49) assuming h is positive.\nAnswer: h**(-3696315\/46852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 30*c + 539. Give k(-19).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2918*c = 4595*c - 388*c + 68560 - 431935 for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 42.87*1\nAnswer: 42.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 12:21 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 5. Let y be r(9). Let f be 0*(-5 + 1)\/y. Suppose f = 4*q - q - 867. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 15*h**2 - 52*h + 13. Suppose -a = -4*a + 18. Let m(k) = 7*k**2 - 25*k + 6. Let w(u) = a*v(u) - 13*m(u). What is w(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*i + 43109 + 3249. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.25, 12.81, 20 in ascending order.\nAnswer: -0.25, 12.81, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) 9542.6 (c) 11\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 301, 616, 931?\n\"Answer: 315*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 555.4268 decades?\nAnswer: 55.54268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218226 is divided by 111?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3\/11))\/((h**(-3)\/h*h)\/h)*(h*h**(4\/5)\/h*h)\/h**6*(h**(-8\/3)*h\/h**(-2\/5))**(6\/35) assuming h is positive.\nAnswer: h**(597\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 4271 = 2767. What are the prime factors of g?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(1920) + (1*sqrt(1920) - sqrt(1920))))\/(sqrt(1440) - (sqrt(1440) - (sqrt(1440) + (sqrt(1440)*2 - sqrt(1440))) - sqrt(1440))*6))**2 + 5.\nAnswer: 857\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-144)*-218*3. Let h = -39\/2 + k. Find the common denominator of -14 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 1601*v**7\/42 - v**6\/6 + 41*v**4\/3 + v**3\/2 + 3*v**2 - 50*v - 51. Find the third derivative of z(x) wrt x.\nAnswer: 96060*x**2 - 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 603 - 208 = 5*o. Is o - (6\/3)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*u = 147*u - 67*u + 1716 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -0.280027803?\nAnswer: 4.719972197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 548, 248, 35?\nAnswer: 548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1511 from 817173056.\nAnswer: 817174567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (162\/(-30))\/((-4)\/(-20))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d = 13*d - 262 - 267 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -32*w + 19. Let f(b) = b**3 - b**2 - 2*b + 1051. What are the prime factors of f(w)?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700579919 to the power of 1\/2, to the nearest integer?\nAnswer: 41238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 31*y + 3 = 36*y, 5*y - 5 = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1639 and 1192.\nAnswer: 13112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-17)*n)\/n**(1\/12)*(n*n**(2\/3)*n)**49 assuming n is positive.\nAnswer: n**(1375\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3940*r + 3940*r + 5398*r**2.\nAnswer: 5398*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432385 plus -1.2?\nAnswer: 1432383.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 254210 + -20?\nAnswer: 254150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, j: 5, t: 1, x: 3}. What is prob of picking 2 t, 1 j, and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1 + h + 0 - 2*h - 1. Let n be y(-2). Let v be -2 - 6\/(0 - 1). Solve n*x = v*x + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -28, -29, -32, -43?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86465459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76337 + 514403\/7. Let j = 2762 + o. Let m = 89 + j. Which is the smallest value? (a) 2 (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99458.98 nanograms in kilograms?\nAnswer: 0.00000009945898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*p - 23 - 3 = 0, -20 = -2*u + 4*p. Suppose u*l = -6*l + 95270. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21822 - 13840. List the prime factors of b.\nAnswer: 2, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 76141*c - 380745. What is w(5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 205235401 (base 6) in base 14?\nAnswer: 6a0a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at most as big as 0.0716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 + 5*y - 3. Let a = 26 - 23. List the prime factors of k(a).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1, 299700?\nAnswer: 299700","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(7\/(-105)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -1\/3*r**3 - 6*r + 3 - 7\/2*r**2. Give f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r**3 - 13*r**2 - 5. Let w(j) = -10*j**3 - 14*j**2 - 5. Calculate 5*w(l) - 6*z(l).\nAnswer: -2*l**3 + 8*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*p**4*s + 16*p**3*s - 2286*p**2*s wrt p.\nAnswer: 1224*p*s + 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 + -74. Let b be -2*5\/(-10)*q. Suppose b*k = 38 - 32. Solve -f - 5 = -k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from qqfqfqqfqfffqffqqfq.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661 is divided by 71?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-2*sqrt(204)*-2 + sqrt(204)))\/(-6*-2*sqrt(300)))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*2\/(-4)*-1. Let r = 29 - 28. Sort 0, i, r.\nAnswer: i, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (6 + -10)) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 165371539 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9384397 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-1) + 4 + -1. Let i = n + 8. Is i greater than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 + 99*u - 2694. What is v(28)?\nAnswer: -2274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, p: 1, g: 3}. Give prob of picking 1 p, 2 v, and 1 g.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (8 - (-9 - (-3 + -28)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 - 83 = -3*y. Solve 0*g + z = -5*g - y, 5 = g - 3*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21916313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/2 of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29\/141 - 6\/47. Let i = 0.07 + -1.27. Let b = -0.2 - i. Sort x, b, -3, -2\/3.\nAnswer: -3, -2\/3, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43551 to the power of 1\/2, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.0695+33964586804\nAnswer: 33964586803.9305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 2384690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/7, -5, 5, 283?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/56 of a week?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 2 (c) 4883 (d) -4 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**5\/5 - 98*r**4\/5 + 34*r**3\/5 + 14266*r**2\/5 - 32*r\/5 - 14168\/5 = 0.\nAnswer: -46, -14, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 0*x**2 + 2*x**2)*((1 - 3 + 4)*(-4 + 2 + 5) + (1 + 0 + 0)*(4 + 3 - 3)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198577398 is divided by 2300?\nAnswer: 2298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 72*h**2 - 2*h + 3. What are the prime factors of j(2)?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1628 + 1664. Suppose -3*y = -y + 6. What is the remainder when 18 is divided by 1 + (y\/(-2))\/(9\/t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + -2.4. Let t = 37 - 110\/3. Which is the nearest to z? (a) 3 (b) -1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s*s\/(s*s**(-7))*s)*s*s**(2\/11)*s)\/(s**(-13)*(s*s*(s**(-4)\/s)\/s*s)\/s) assuming s is positive.\nAnswer: s**(101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-33)\/(-9) + (-3)\/(-9). Suppose 4*p = -r + p + 19, 0 = k*r - 4*p - 60. Suppose 4*m = 4 - r, m - 1072 = -5*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 115 + 170. Suppose 0 = 60*h - f*h - 1056. Suppose -4*c = -h - 28. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1626.52421 rounded to the nearest integer?\nAnswer: -1627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (24 - -1) + (61034 - 60940).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140 + -104. Let q = w + -32. Solve -4*f - o - 18 = 2*o, 0 = -3*f + q*o - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92 + -42. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251 + 256 = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 16. Let v = -9 - -14. Let g(b) = -b**3 + 5*b**2 + 5*b - 5. What is the smallest common multiple of g(v) and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7569?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 160347 divided by -129\nAnswer: -1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.039 - 3.661. Let k = -1.5 - w. What is k rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 7*c + 0*c**4 + 0*c**3 - 6\/5*c**5 + 0*c**2 + 15. Find the first derivative of f(z) wrt z.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/2 + 1*59. Let q(g) = -71*g**3 - g**2 + 1. Let p be q(1). Let c = -31 - p. What is the highest common factor of c and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 7 + (2 - (2 + 0)). Solve -m*a + 5*a = c + 6, c + 1 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7106997 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y - 2*y - 5*y)*(-6959 + 6959 - 65*y) as a + l*y**2 + w*y and give l.\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.781688um to kilometers.\nAnswer: 0.000000001781688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 3845. Suppose a - 1833 = -b + 1995, -b - 3*a + k = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (82\/(-12) - 14*12\/(-126)). Let o = 1.95 + 0.05. What is the second biggest value in o, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8816155.\nAnswer: 5, 1763231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/73499 < -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/62988 and -169\/1740.\nAnswer: 314940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 548 + -318. Let q = 457 - l. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*p**3 - 279 + 277 + 7*p**4 - 2*p**4 - 7*p**4 - 4*p to y + j*p**3 + w*p + z*p**2 + b*p**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -0.2 (c) 1 (d) -59 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a factor of 13034150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-105)*(-30)\/36?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 45 - 45 + w. Let y(c) = c - 1. Let k(o) = 2*o - 6. Let b(h) = k(h) - 6*y(h). What is b(p(l))?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/28 + (-369)\/56 and (3\/(-9))\/(7\/60).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-53 - -60 - 19).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2755754 rounded to one decimal place?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.01 (b) 484 (c) 5 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 290 - 290. Suppose y - 11 = -z, 5*z - 5*y - 45 = -a*y. Solve z*s - 11*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -4*p. Suppose r - 4*y = 20, -r - 5*y - 18 + 2 = p. Suppose -r*a = -177 - 7. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**2 + 992*u - 5*u**2 + 26676*u**4 - 26672*u**4 + (-4 + 5 + 0)*(u**4 + 3 - 3) + 0*u + u**4 + 0*u.\nAnswer: 6*u**4 - u**2 + 992*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.6 + 59.6. Let s = 40 - r. Which is the second biggest value? (a) 0 (b) s (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = d - 4*u - 19, -3*d = -2*u - 27. Suppose -d*t = t - 24. Suppose 7 - 1 = t*h. Solve 5*z + 6 = 4*v, -3*v = h*z + z - 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 + 35*c - 14. Let q be i(17). Suppose 0*k - 3*k = 3*p - q, k + 11 = 3*p. Let 1\/9 - 1\/9*o**p + 1\/3*o**2 - 1\/3*o = 0. What is o?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/4 + (38\/8 - -4). Suppose -b = -n*b + 70. Let y = 30 + b. List 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 5370 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 259 + 19*f**2 - 259 - 25*f**3 wrt f.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 1215\/117)*10\/((-400)\/(-15))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2450.5666 and -0.66.\nAnswer: -2451.2266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -73. Let z = g + 26.7. Which is the closest to z? (a) -1\/7 (b) 2\/9 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 5. Is m a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + r**5 - r**3 + (40 + 109 - 100)*(4*r**5 - 2*r**5 - 3*r**5).\nAnswer: -48*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 25. Suppose 5*p - 5 = -z*p. Solve -2*i + v + p = 0, -2 = -3*i - 5*v + 32 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4952*339\nAnswer: 1678728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 2)*((0 + 3 - 4)*(-5*c + 4*c - c) + c - 3*c + 4*c + 0*c + 2*c - c - c - 1 + 1 + 5*c - 4*c - 2*c)*(-3*c + c + c) as t*c**2 + m + a*c and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4052*y**6 - 4886*y**2 - 287*y**2 + 423*y**2 wrt y?\nAnswer: -486240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -c - 6, 2*z - 2*c - 4 = -2*z. Let v be 1*(1 + 8)\/3. Factor 0 + 5*a**4 - 5*a**v + z - 2.\nAnswer: 5*a**3*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + 25 - 10) + (-94 - -21).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/(27*(-17)\/459)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18124201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 4*c + 32, -z - 3*c = c - 16. Let l be (-3)\/2 + 26\/z. Let m = 18 + l. What is the greatest common divisor of m and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**3 - 67074022*u**2 - 281182759935024*u + 140591396736018 = 0.\nAnswer: -8384253, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 19 = -2*i + 5*i, -3*t - 3*i = 3. Solve t = 4*k, k + 3*k - 9 = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -140 (c) -5 (d) -438 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(2\/9))\/y*y**(7\/2))\/((y**(-2\/29)\/y)\/y*y**(-3\/26)))**(9\/8) assuming y is positive.\nAnswer: y**(20041\/3016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((6\/78)\/(((-810)\/(-351))\/(-15)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30 (b) -0.4 (c) 1\/124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (-3 + 13)) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4193839313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 332\/6 - 4\/(-6). Suppose -2*n - q = 2*p - 7*p, 2*n = p - 16. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10431 + -42?\nAnswer: 10334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 2*y + 4. Let s be i(3). Let l be (2 + -22 - -10) + 22. What is the greatest common factor of l and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 36 = -4*n, 0*n + 3*n = -2*y - 2. Solve 0*j = -5*j - y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 13*q + 4*q - 85 = 0 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73\/2079 + 3\/77. Let g(m) = 4*m + 1. Let n be g(1). Suppose -3*f = -2*k - 17, 2*k - 4*k - n*f + 23 = 0. Which is bigger: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 86*j**3 + 20*j - 5. Let w(l) = -43*l**3 - 8*l + 2. Calculate 6*t(m) + 15*w(m).\nAnswer: -129*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*j**2 - 36*j**2 + 30*j**2 + (-j**2 + 9*j + 0*j - 4*j)*(1 + 1 - 3).\nAnswer: -47*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + 1*sqrt(1100) + sqrt(1100))*6.\nAnswer: -36 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*k - 2 + 12 + 15*k.\nAnswer: 33*k + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802503.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 172 = -4*a - c, c = 3*a - 148. Let o = 39 - 22. Calculate the remainder when a is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -7 + 18 + 6 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151043 is divided by 1325?\nAnswer: 1318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2638364 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.637 + -0.107. Let k = -0.03 + v. Let z = -10 + 5. What is the biggest value in z, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 15*z**2 + 84*z - 17. Let n be l(-7). What is the greatest common factor of n and 1092?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/(-35)*60\/3. Suppose 5*o + 2*b - 544 = 0, -2*b = 2*o - 5*o + 320. Calculate the highest common factor of o and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(528) - 1*sqrt(528)) + sqrt(528) + sqrt(528))*-2)\/((sqrt(972) - 2*sqrt(972)) + (sqrt(12) - (sqrt(12) - sqrt(96)\/sqrt(32)))).\nAnswer: 16*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**5\/20 + 7*t**4\/2 + 43*t**3\/6 - 3*t**2\/2 - 2061*t. Give z(43).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + sqrt(98) + -2*sqrt(98) + -1 + sqrt(98) + 1))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/3 + 8\/(-2). Let o be (6\/(-10))\/(t\/4). Let r = 10.4 - 10. Which is the second biggest value? (a) -0.4 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 2*a - 681 + 681.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppaiaaapwa. What is prob of picking 2 p and 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 0*r + 0 + 1\/8*r**4 - 17*r**2 - 1\/3*r**3. Determine w(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*h**2 - 124 + 47*h**2 + 124.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*r - 2*r + 4*o, -r - 11 = 4*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 1:28 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 6*d + 14. Let v = 14 + -7. Let x be g(v). Find the second derivative of 2*l - 4*l + 22*l**2 + 8*l + x*l wrt l.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-15))\/((-2813)\/548535)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1187766 and -3?\nAnswer: 3563298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -906*h + 142*h + 176*h - 44*h - h.\nAnswer: -633*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18854\/131 greater than 143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 21*u - 39. Calculate the remainder when x(8) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4911 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: Calculate prob of sequence vjv when three letters picked without replacement from {j: 4, s: 3, v: 4}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22455463?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 989.1852 months in centuries?\nAnswer: 0.824321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/4521641 and -34\/283785.\nAnswer: 67824615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 237*z**2 + 151*z**2 + 2*z + 40*z**2 - 1 + 25*z**2. Suppose 0*y = 2*y + 4. Is j(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-36)\/81)\/2)\/((-3)\/(-216)*-3).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16167 + 8085 = m - 8081, 2*i - 8*m - 14 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24209.\nAnswer: 43, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 87*i*m**4*p + 11361*i*m**2*p + 2*i*p + 5374317 wrt m.\nAnswer: 348*i*m**3*p + 22722*i*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5008013 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -446*y + 21008. What is x(47)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 9*w**2 - 8*w + 5. Let a be y(-8). Let v be (4 + -2)\/(1\/a). Calculate the greatest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4719745*v**3 + 5756186*v**2?\nAnswer: -28318470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*g + 1749, 107*q - 111*q + 5*g + 2394 = 0. Calculate the greatest common divisor of 5713 and q.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (9 + -12)) + (0 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.15, -179, -2\/9, 26\/937 in decreasing order.\nAnswer: 3, 0.15, 26\/937, -2\/9, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 483678.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 35*n**2 + 2*n**3 + 14*n - 14*n.\nAnswer: 2*n**3 + 36*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33.2 + 33. Which is the closest to 64\/3? (a) s (b) -0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h. Suppose 126 = -2*r - r. Let v be 12\/r - 60\/(-14). Let w(l) = 34 + v*l**2 - 8*l**2 - 34. Give d(w(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*w + 4*g - 1349, -5*g + 3400 = 5*w. Calculate the remainder when w is divided by 35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221100 (base 3) in base 4?\nAnswer: 201132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -130, -257, -388, -523, -662, -805?\n\"Answer: -2*t**2 - 121*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83143779 a multiple of 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, 39\/5, -0.4, 2?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15\/4 in 1\/8, 3\/4, -0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47288908*l**2 + 23644870*l**2 + 23644035*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 + 186*w + 158. Give z(63).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.2. Let k = 18.99 + 0.01. Let h = -14 + k. Which is the third biggest value? (a) 0.4 (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2*(g**(-17)*g*g)\/g)\/(g*g\/(g\/g**(-17))*g*g**(-2\/61)) assuming g is positive.\nAnswer: g**(63\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -ca7?\nAnswer: -ca6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*m - 245 = 841 - 225 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*r + 18 = 0, -r + 11 = g + 1. Let o(i) = i + 16. Calculate o(g).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 43 = 2*m. Does 13 divide m*-2*(-1)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 246.3 + -242.734. Let c = y + -0.286. What is c rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.171 and 15.00225961789?\nAnswer: 14.83125961789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 + 488\/7. Let j(y) = -2181*y - 6543. Let u be j(-3). Is r greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*s**3 + 233*s**3 - 452*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-21 - 1625\/(-13)) + 1 + 0 is divided by 62?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -537, 5, 1.15, -5?\nAnswer: -537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 - 5*h**2 + 0*h**3 + h**3 - 1. Calculate the remainder when (-8)\/(-92) - (-912)\/92 is divided by d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + 0 + (-1 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(252) + 2 - sqrt(252) - ((sqrt(252) + 2)*2)**2) + (-1 + (sqrt(252) - (4 + 6*sqrt(252))))**2.\nAnswer: 204*sqrt(7) + 5303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/((-224)\/(-222)) - -2 and (-144)\/24 - (-80)\/(-945)*-60?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -r. Is (r - -2 - -3)\/((-1)\/(-499)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, 14, 50, 122, 242, 422?\n\"Answer: 2*z**3 - 2*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80432177?\nAnswer: 7, 1641473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.05 - 11.05. Let z = -9.7 - f. Sort -0.3, -12, z, 1 in ascending order.\nAnswer: -12, -0.3, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 2:56 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 6. Let v be m(6). Suppose v*g - 12 = 2*g. Let s be (-18)\/(g\/45*(-3)\/2). What is s rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z**4\/9 - 74*z**3\/9 + 76*z**2\/9 - 16*z\/9 = 0. Calculate z.\nAnswer: 0, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19885, 19882, 19877, 19870, 19861, 19850, 19837?\nAnswer: 19822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11201 * -4.\nAnswer: 44804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-82)\/3 - (-6 + 7). Let c = 29 + g. Factor -4\/9 - 2\/9*x**2 + c*x.\nAnswer: -2*(x - 2)*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 2\/5, -31, 2\/19, 2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3446 - -6751\/2. Let k = -145 + 215. Let g = b + k. Is -20 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 7 + 1)*((-1 + 2 + 1)*(m + 3*m - 3*m) + 3*m - m - 3*m + m + 0*m - 2*m + 4*m - m - 4*m + (2 + 0 + 0)*(-m - 4*m + 3*m)) as x*m + n and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 28*s + 161 = 2*g, 2*g - 143 = -5*s. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b + 4645 = 29*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h + 7. Let j(s) = 2*s + 5. Let o = 2731 + -2739. Calculate o*j(d) + 5*b(d).\nAnswer: -d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(128) + -3 + -1 - (sqrt(24)\/sqrt(3) - (4 + sqrt(2))*-5))**2.\nAnswer: -50*sqrt(2) + 627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 950*h - 20596 + 1127 = 9981 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2*u + 0*u = 14, x + 5*u = -18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -327?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, k: 1, b: 1, h: 1}. What is prob of sequence kc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1302001 (base 4) to base 10.\nAnswer: -7297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22201112001 + -1001110?\nAnswer: -22202120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32766)\/(-15480) - (-6)\/45?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 21*h**2 - 22*h - 4. Let v be c(20). Let u = v + 57. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 6 - 7*i - 23*i**2 - 12 - 8*i**2 + 38*i**2.\nAnswer: 7*i**2 - 11*i - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*h**4 - 9*h**2 - 478*h.\nAnswer: -60*h**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39790758 and 10.\nAnswer: 198953790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 361\/39 + -116\/13. Put 0.2, -4\/3, u in decreasing order.\nAnswer: u, 0.2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 163 = -174 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - 37*d + 19. Let v be r(-19). Suppose 4*h - 94 = -2*c, -3*c + v*h - 2*h = -145. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4878254*i**4 + 2384*i**2 + 14198*i wrt i?\nAnswer: -117078096*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + 2 + (6 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 17. Suppose d*a - 13*a = 0. Put -0.7, a, 3 in descending order.\nAnswer: 3, a, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32741898 by -1666.\nAnswer: -19653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114466 - -166961. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v - 24 = 0. What is the third derivative of 35*g**2 - 17*g**2 - v*g**6 - 16*g**2 wrt g?\nAnswer: -960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + c = -c - 23, 12 = -3*c. Suppose 172*q = -171*q + 343. Let t be (-15 - 0)*5\/15. Put q, t, o, -14 in descending order.\nAnswer: o, q, t, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2240) - (2*sqrt(2240) - sqrt(2240)))\/((sqrt(900) - sqrt(25))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (40\/6)\/(5\/15). Suppose -a = -0*t - 2*t. Suppose -4*v - 40 = -t*q + 5*q, 4*v + 12 = -2*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5\/3 + 37457*f**4\/6 - 89050346*f**3\/3 + 12746655395*f**2\/3 - 155454878167*f + 153337855683\/2 = 0. What is f?\nAnswer: 1\/2, 73, 9291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8643597\/4 + 2208701. Let l = j - 48035. Let n = -232 - l. What is the nearest to -0.1 in -3, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*(t**(1\/4)\/t)\/t*t)\/t*t)**18\/(t**(-2\/3))**(13\/3))**12)**(2\/17) assuming t is positive.\nAnswer: t**(532\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 910056 and 364.\nAnswer: 11830728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 2008*j - 33558.\nAnswer: -2*(j - 987)*(j - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -13885 and -15.7572.\nAnswer: -13900.7572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 14*j**3 - 3*j**2 + 8*j + 8. Let t(d) = 8*d + 5 + 9*d**3 - 3*d + 2*d**2 - 4*d**2. What is -5*k(b) + 8*t(b)?\nAnswer: 2*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6\/89, 0.4, 0.1, -99 in descending order.\nAnswer: 5, 0.4, 0.1, 6\/89, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**2 - 6*m - 2. Let o(h) = -14*h**2 + 17*h + 6. Give -4*o(z) - 11*w(z).\nAnswer: z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 516672?\nAnswer: -516679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 27*d**3 - 2*d**2 - d + 3. Let q(i) = 107*i**3 - 7*i**2 - 4*i + 13. Let r(s) = -9*k(s) + 2*q(s). What is the remainder when 81 is divided by r(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/133634?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13) - sqrt(13)) + -5 + sqrt(13)*2*-4 + sqrt(39)\/sqrt(3)*3 + -3.\nAnswer: -5*sqrt(13) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 46*f - 172. Let i be g(42). Let v(s) = -s - 11. Let u be v(-6). Suppose -n - 6 + 4 = 0. Sort n, u, i in descending order.\nAnswer: n, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -427584.3 to the nearest one thousand.\nAnswer: -428000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*a**5 + 4395*a**4 - 2*a**2 + 260*a - 144.\nAnswer: -2040*a**2 + 105480*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 509271 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/59))**(-30) assuming a is positive.\nAnswer: a**(60\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117232.2ml to litres.\nAnswer: 117.2322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 4*c - c + (3 + 1 - 2)*(3*c - 5*c + 3*c) + 0*c - 3 + 4 + 7*c in the form p*c + y and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38941430233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2685440*n**2 - 7517140?\nAnswer: 5370880*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 99660162\nAnswer: 1\/16610027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(208)*-1 - sqrt(208)) - ((-2 + sqrt(208) + sqrt(208))*-3 - sqrt(208)) - (3 + (sqrt(208) + 3)*-6))**2.\nAnswer: 792*sqrt(13) + 25249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13989789 to the power of 1\/2, to the nearest integer?\nAnswer: 3740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-28))\/(279\/14973)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41181\/23532*(38 - (3 + -1)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 15577 = -10295. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, g: 2, a: 7}. What is prob of picking 2 a?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 6*m**2 + m - 3. Is 2 a factor of o(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 35. Let j be (-32)\/(-18) - d\/162. Suppose 0 = 4*m + 4*w + 32, 0 = -2*m - m - 4*w - 27. Put m, j, -3 in descending order.\nAnswer: j, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x**3 + 7*x**3 + x**2 + 2*x + 6 + 3 + 0. Calculate u(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-18 - -6) - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12278218297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 188*c**3 - 6642*c**2 - 4598*c + 2232 = 0. Calculate c.\nAnswer: -1, 31\/94, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 10:30 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109480?\nAnswer: 2, 5, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 9 + 39. Let f be (-3)\/a*-1*50. Let r = f + 47. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60 - (47 + -55)) + 86?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-84)\/8) - 0)*-7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-6 - (-16 + (-1 - 4)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -138*x**3 - 2*x**2 - x. Let q be y(-1). Suppose 0 = 5*s + 3*w + q + 71, -5*s + 3*w - 202 = 0. Let h = s - -78. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9560.774 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 3:28 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 27 + -1 + -385 + (1017 - 632).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42024 is divided by 60?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/9, 0.5, -0.3, 0.025?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 13\/3 + 23\/(-69). Suppose 20 = 4*w + 28, 4*w = j*b - 12. Solve -q = b*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.52, -1\/11, 3, 0.12, -1\/5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**2 + 3*q + 3. What is i(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3552 - 3507.33. Let o = l + -44. Round o to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -703105.42?\nAnswer: -703110.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -45*o + 2969. What is the remainder when 301 is divided by g(63)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/120)\/((-5)\/(-6)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g**3 - 2*g**3 + g**3)*(-1 - 2 + 10) + 4*g**3 - 5*g + 5*g + 726*g + 2*g**3 + 3*g**2 + 38 - 726*g to r*g**3 + s*g + f*g**2 + j and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -53 + 59 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-532)\/(-132) - 1\/(-3). Let v = f + -794\/187. Sort v, 4, -5 in descending order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*a + 26*a - 130 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.2528589 rounded to 2 dps?\nAnswer: 121.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 16*k**2 + 13*k + 15. Let w be h(-15). Is 0 + w*(8\/(-6))\/(-1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 92*i - 57 wrt i?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3)*((-25)\/5 + 2). Suppose 46 = 4*y + 3*s - 6*s, y + f*s = 6. Solve -4*k - 14 = -2*v, -6*k + k = y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 5 - 75) + 1 - -3?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 85\/1745346 or -1?\nAnswer: 85\/1745346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/18*40\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/3 - 27192*x**3 - 554608028*x**2 - 6653991184*x\/3.\nAnswer: -x*(x + 4)*(x + 40786)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -685 + 715. What is the lowest common multiple of x and 26?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3 + 6320*i**2 - 6318*i = 0. What is i?\nAnswer: 0, 1, 3159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -906443*m + 1812392*m - 905980*m.\nAnswer: -31*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 188, 375, 562, 749, 936?\n\"Answer: 187*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172 and 96664.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v, 0 = 4*l + 83*v - 81*v - 3858. Calculate the remainder when l is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1*7)\/1)\/(-127*63\/24003)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*i + 214 = 2*q, -3*q + 146 = 2*i. Suppose 0 = 4*c - i - 46. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - 0. Let s = 0.24 + d. Let t = 1.8 + -2. Which is the biggest value? (a) -0.1 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**3 + c + 2. Let v(b) = -24*b**3 - b**2 - 34*b - 6. Determine 3*a(j) + v(j).\nAnswer: -3*j**3 - j**2 - 31*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 9*v**2 - 15*v - 15. Determine l(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 + d**4 + 3*d**2 + (d**3 + 0 + 0)*(d - 4 + 4) + 16*d - 5*d**4 + 7*d**4 + 2 - d**4.\nAnswer: 3*d**4 + 16*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 290 + -199. Suppose -u = 4*b - 144, -4*u - w = -4*b + 33. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 0, -22, -1 in increasing order.\nAnswer: -22, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136170\/10710 + 3\/((-6)\/26).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 384 + -39. Let k be ((-1)\/3)\/((-5)\/w). Suppose -2*s = 4*c - 28, -2*s - c = 2*c - k. Which is smaller: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.63903717 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + (23 - 17) - -10) + -13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -378, -398, -426, -462, -506?\nAnswer: -558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 35. Let u(j) = -j**3 + 2*j**2 + 4*j - 4. Let g be u(3). Let s(z) = -z**2 - z + 1. Let o be s(2). Put n, o, g in ascending order.\nAnswer: o, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -4. Let c = 29 + -16. Let o = c - 9. Sort -2\/3, v, o in decreasing order.\nAnswer: o, -2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61355335 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 10*f**2 - 128*f + 111. Let u be d(19). What is the greatest common factor of 56 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -2. Suppose 6*a - 10*a - 92 = 0. Let x = 29 + a. What is the remainder when g is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 15\/7 (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + b + 2, 2*b = 6 - 4. Sort i, -1, 4 in ascending order.\nAnswer: -1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*p + 16848 = 444*p - 205*p for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + y + 12. Let x = 111 - 107. Solve 2*b = x*k + 8 + 2, y*b = -5*k - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-192)*8)\/(572\/(-99)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -70 - 15\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = f - 6*f. Suppose -n + f*p = 5*p - 2, -4*n + 2*p = 2. Suppose -i + 13 + 12 = n. Solve q + i = -4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/m)**30\/(m**2)**(2\/57) assuming m is positive.\nAnswer: m**(-1714\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13440233 (base 5) in base 2?\nAnswer: -100010001100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/12*(-1067648)\/25023?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 - (73 + (17 - 50) - 27).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 220\/(-35)*231\/(-198)?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {o: 1, x: 2, y: 2, h: 2, t: 1, a: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**2\/2 + 17*u + 1. Suppose 37*s = 35*s - 24. What is the units digit of i(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/364*(-8)\/(-3)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/32*(-36)\/(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/571296 and 107\/2544864.\nAnswer: 27993504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 18 = -5*i + a, -i = 5*a + 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37480861.462 + -0.2.\nAnswer: -37480861.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -924, -1924, -2926, -3930, -4936, -5944, -6954?\nAnswer: -7966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 84*c - 5. Calculate p(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (12 + (-2 - 14))) + -6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 11022322?\nAnswer: -11022321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/2 or -29?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -901\/4 at least as big as -225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 94957.02 grams in nanograms?\nAnswer: 94957020000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21214707?\nAnswer: 3, 1543, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -220*a + 63*a - 306*a - 185*a + 4*a + 2*a - 3*a + (3*a - a - 4*a)*(1 + 0 - 3) - 6*a + 3*a + a + 5*a + 0*a - 4*a.\nAnswer: -642*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)\/(f**(-8)\/f))\/(f*f\/(f**(-2)\/f))**36 assuming f is positive.\nAnswer: f**(-179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29143, -54804, -80465, -106126, -131787?\n\"Answer: -25661*f - 3482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, k: 1, f: 4}. What is prob of picking 3 a?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 60*b + 6825. Let m(g) = 2*g. Calculate n(m(i)).\nAnswer: 120*i + 6825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1656589*m**2 - 1656589*m**2 + 2*m + 1485*m**3 + (m**2 - 3*m**2 + 0*m**2)*(-2*m - m - 1 + m).\nAnswer: 1489*m**3 + 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9468346 tonnes in grams?\nAnswer: 946834.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 1103203?\nAnswer: -1103203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -172082 + -404?\nAnswer: -172486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (80\/32)\/((-1)\/(-2)) 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 (10 - (-5 + 6 - (6 + 3))) + -27 + 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 281679227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4527288 is divided by 813?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.087 and 257.\nAnswer: -3363.359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*n + 47*n = 34 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 - 448510012*b\/3 - 25145153858030018\/3.\nAnswer: -2*(b + 112127503)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1646362 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -ae (base 15) in base 11?\nAnswer: -13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(252)*2 + 1 + 0 + -2 + -1*sqrt(252) + -2))**2*5.\nAnswer: -4500*sqrt(7) + 32625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220203030320203 + 1?\nAnswer: -220203030320202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 194*k**2 + 582*k - 1. Determine l(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6782649 + -19447883. Let f(j) = -3565233*j**3 + 2*j**2 + 2*j + 1. Let n be f(-1). Let x = p + n. What is x rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49.880088437248 + -0.09.\nAnswer: 49.790088437248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 546137 - 347128. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*b = 143*b - 672. What is the lowest common multiple of 12 and b?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224083 and 20329.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 (base 16) in base 12?\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 + 3168*n + 575224\/7.\nAnswer: 2*(n + 26)*(n + 11062)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, 3, -4, -21564 in ascending order.\nAnswer: -21564, -4, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 - -175. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3*k + 12 = -0*g, -1735*g - 5*k - 97 = -1748*g - 29 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + 0 + (-9 - 3 - 3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/(-2 - -5). Let o = 0 - 1. Is o < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13236500 - -116?\nAnswer: 13236616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4638 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -311, -327, -353, -389?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 1036*i - 103*i + 3*i + i - 5*i + (4 + 0 - 2)*(-2*i + 3 - 3) + (-1 + 1 - 2*i)*(0 - 3 + 5).\nAnswer: 924*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -1595.7939323.\nAnswer: -1597.7939323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*z + 0 + 6*z**2 + 16124*z**4 - 16122*z**4 + z**2 + 2 in the form v + j*z + b*z**4 + t*z**3 + f*z**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 - 36. Calculate the least common multiple of b and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*b - 10*b**4 - 5*b**3 + 8*b**4 + 5*b**2 + 9*b to m*b + n*b**2 + x + t*b**4 + j*b**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4191*r = 5368*r + 330430 + 202853 - 112687 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 33. Let f be g(-17). Let h be (0 - 34)*(-4248)\/f. Suppose -3*k - h - 735 = -3*r, 3*k - 6493 = -2*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62015 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -11710 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*y)*(-50*y + 60*y + 65*y) as d + w*y**2 + n*y and give w.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 7*c**4\/6 + 49*c**3\/6 - 489*c**2\/2 - 2*c - 139. Let r(l) = -3*l**2 - l + 1. Let i(u) = -5*r(u) - x(u). Factor i(k).\nAnswer: (k - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/3, 17, -1\/16, -3, 2, 0.2, -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3391382?\nAnswer: 2, 1695691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 4*v**2 + 6*v. Let p be h(5). Let u = -3 + p. Suppose -6*c + 2*c + 128 = 2*f, -u*f + 29 = c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 + -76.2. Let u = -7 + 4. Let o = -3.1 - u. Which is the nearest to -0.1? (a) 1\/2 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 17747485.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 83.305*0.915\nAnswer: 76.224075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 151.5454mm?\nAnswer: 0.0001515454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*3\/(3 + -2). Let h be (u\/(-2))\/((-15)\/20). What is the units digit of (h\/(-3))\/((-3)\/(-9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 26269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.958 rounded to one dp?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37266973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 0 - 14\/91 - (-16592)\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 5*u**2 + 5*u - 6. Calculate z(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 16 + 66. Let c = -6 + i. Suppose -3*a + 2*j + 310 = 287, 3*a - j = 19. Solve 0 = a*h - c - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(12) + sqrt(48)\/sqrt(4)) - (sqrt(40)\/sqrt(4))\/sqrt(2).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**3 - 3*r + 13. What is o(3)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2431328 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -3. Let x be (880\/(-48) - -17)*3\/34. What is the closest to -2 in u, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from mwtmmtwmtttw.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -111 less than -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -156*k + 64*k - 3*k**2 + 92*k. Let c(t) = t + 67. What is i(c(a))?\nAnswer: -3*a**2 - 402*a - 13467","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (sqrt(684) - sqrt(684)*-1) + 2 + (sqrt(684) - (sqrt(684) + 0))**2*2 + -3 + -1.\nAnswer: 1 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*z + z + 3*n, 5*z - 29 = -2*n. Suppose -o + 3 + z = 4*g, 0 = g - o - 7. What is the first derivative of 6 - f**3 - g + 2*f**3 - 2 wrt f?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/1852?\nAnswer: 3\/1852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25330, -25559, -25788, -26017?\n\"Answer: -229*b - 25101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x - 3*x + 36*x - 14*x - 3*x - 19*x.\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -30 + 18 + 16 + 6 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.53 (b) -15 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 65 + (-28 - 42) - (2 - -15 - 2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 6*k - 414. List the prime factors of k.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -527?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (105\/25)\/((-15)\/25)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -4)*(-8)\/20. What is the common denominator of (-19)\/(-6) + f\/(-6) and 33\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1751203\/65 + -26941. Is p smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {m: 1, i: 1, b: 3, t: 12, x: 2}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 401 - 509 = 0. Suppose -h + 3*s + v + 1889 = 0, -2*s - 9336 = -4*h. What is the common denominator of 2\/7 - h\/224 and -51\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8829167?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 328168, 1312683, 2953542, 5250745?\nAnswer: 8204292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 23 = k - 3, -13 = 2*k + 3*f. Which is smaller: 4\/31 or k?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(21\/(-9)*37\/(-259))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(3\/11)*n)\/n)\/n**(1\/2)*((n*n\/n**(-1\/7)*n*n*n)\/n)**(-14\/13) assuming n is positive.\nAnswer: n**(-1055\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-6)\/(-8)) - -1. Suppose 53 = 3*c - 4*z, -s*c - 7*z + 3*z + 99 = 0. What is the remainder when 55 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/18 - 11\/22.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqlqwqwqqq. What is prob of picking 2 w?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-1 - -15) + (133 - 146) + (-13 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 95848*w**3 + 1148354888*w**2.\nAnswer: 2*w**2*(w + 23962)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2039\/6, -0.2 in increasing order.\nAnswer: -3\/4, -0.2, 2039\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 9*g - 3. Let y be p(9). Let j be (3 + y)*1*-1. What is the units digit of (-1 - (1 + j)) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(20\/(-5) - -2). Let v = -10 + 6.4. Let o = v - -22.6. Which is smaller: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -1901.8866.\nAnswer: -7607.5464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccsu when four letters picked without replacement from {c: 4, o: 10, u: 4, s: 1}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -321307.\nAnswer: 8\/321307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 - 3*m**3 - 13*m**4)*(1 + 3 - 3)*(-m - 2*m + 5*m).\nAnswer: -26*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220771954.\nAnswer: 2, 13, 29, 292801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8616428 litres?\nAnswer: 861.6428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1016 is divided by 287.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -330425629 at most as big as -330425629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 = -4*y - o, -2*y + 28 = -4*o. Suppose t - y*t + 2559 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t + 19. Let m(k) = 5*k + 10. Calculate -4*b(r) + 7*m(r).\nAnswer: -r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (162\/(-36))\/(4\/(-8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**6\/72 + p**5\/40 + p**4\/12 + 35*p**3\/6 - 2*p**2 - 82. Let j(t) be the first derivative of r(t). Determine j(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192305?\nAnswer: 3, 5, 101, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 5*p - 4. Let y be j(3). Solve 3*d + y*d - 5 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -801, -600, -269, 186, 759, 1444?\nAnswer: 2235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 189 = 3*y + 173, 0 = -2*y - 5*z + 18 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 9*z**2 - 10*z - 2. Let k be o(10). Let h(v) be the second derivative of -v**4\/12 + v**3\/2 + v**2 + 2*v. What is h(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (184\/138)\/((-2)\/(-6)). Let z(s) = 6*s + 3. Let j(d) = -5*d - 2. Give r*z(y) + 5*j(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.8 + -4.94. Let q = u + 0.04. Let k = -24 - -29. Sort q, k, 0.1, 0 in descending order.\nAnswer: k, 0.1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 * -11.\nAnswer: 2.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 78\/(-52)*(24\/9)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*5\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 5)*(24 + 9 - 13)*(3*r + r - 6*r).\nAnswer: -240*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 w when three letters picked without replacement from wwwwwwwoow?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/17 + 18*g**2\/17 - 554*g\/17 - 330 = 0. Calculate g.\nAnswer: -15, -11, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179 - -119. Let c = 65 + r. Put c, -5, -6, 3 in ascending order.\nAnswer: -6, -5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**7\/5040 - l**6\/1440 - 11*l**4\/24 - 12*l**2. Let r(o) be the second derivative of z(o). Factor r(h).\nAnswer: h*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57 - 50 - -65) + -49?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 391 + -388. Solve 12*j = c*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 120\/(-8)*8\/(-10). Suppose z = -39*s + 42*s. Solve s*t = -0*t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -55270, -110061, -164852, -219643?\n\"Answer: -54791*s - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10\/9 - 13\/9. Suppose 272 = 4*t + 2*z - 4*z, 5*t = -3*z + 340. Suppose -o = o - t. Which is smaller: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 - 6*n**5 + 6*n**5 + 2*n**5 - 3*n**5 + 2*n**5 + (2*n**4 + n**4 - 5*n**4)*(-n + 4*n - n).\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -82? (a) 1\/9 (b) 5 (c) 2\/5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 2b5?\nAnswer: -2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, -463, -935, -1221?\nAnswer: -1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 84 = -99, 5*y + 4*h - 5 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b - 10. Let u be v(-7). Suppose 0 = 2*q - u - 2. Solve 2*g = 5*k + 15, k + 4*g - 5*g + q = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101052 (base 6) to base 8.\nAnswer: -152630","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3035232 divided by 288.\nAnswer: -10539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0 = -65. Find the first derivative of 4 - c*a + 6 + 23 - 1 wrt a.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -64*b**3 - 8416*b**2 + 4220*b - 534. Give w(-132).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2035*y = 39900 - 3270 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 19 = 4*r, 0*v = 5*v - 4*r - 21. Suppose c = -3*x + 5, -3*c - v*x = -c - 10. Let p = -5.6 + 0.6. What is the biggest value in c, -4, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39483, -39498, -39523, -39558, -39603, -39658?\nAnswer: -39723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + 53999393. Let d(m) = 3*m**2. What is b(d(t))?\nAnswer: -6*t**2 + 53999393","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.833 to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 67 - 7. Let y = w + 15. Solve j + y*j + 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-16) + -1)*20\/(-15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3141 divide 125850447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33874 (b) 0 (c) -5\/2 (d) -2 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 398.5 + -39.5. Let k = 359.1 - n. What is the third smallest value in k, 3, 1\/4, 0.11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 39*l**3 - l + 21 - 24 to the form s*l**2 + f*l**3 + w*l + m and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1675 - 1655. What is the greatest common factor of 1164 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -24. Let s(t) = 5*t**3 + t**2 - 4*t. Let o(x) = 6*x**3 + x**2 - 5*x. What is a*s(l) + 3*o(l)?\nAnswer: -2*l**3 - l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 75 = 59 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -470.4260805 rounded to the nearest integer?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -19*s**5\/10 - 9*s**3\/2 - 41*s. What is the second derivative of k(y) wrt y?\nAnswer: -228*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wz when two letters picked without replacement from {w: 5, z: 3, k: 1, m: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 4\/3*y**3 + 7 + 0*y**2 - 4*y - 1\/4*y**4. Let n be (-27)\/(-6) - 12\/8. Give i(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-8)*x)\/x**(1\/2))\/(x**1)**(-14\/9))**4)**(-2\/51) assuming x is positive.\nAnswer: x**(428\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -3\/7, 0 in descending order.\nAnswer: 0, -3\/7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*l = 935, 2*u + 5*l - 889 = 981. List the prime factors of u.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**6\/10 + 15*t**5\/4 + 87*t**4\/4 - 253*t**3\/2 + 210*t**2 + 323*t. Factor q(m).\nAnswer: 3*(m - 1)**2*(m + 7)*(m + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - -12462)*((-42)\/(-56))\/(3\/2). What is the highest common factor of 23 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 108\/(-540) - 1631\/(-5). Let d(r) = -r**3 - 2*r + 3. Let s be d(6). Let i = l + s. List the prime factors of i.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6795?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 10:36 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2. Let k(n) = -n - 3. Let z(p) = -p - 2. Suppose 3*l - 8 + 2 = 0. Let b(w) = l*k(w) - 3*z(w). Determine b(a(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 10*g - 9. Let k be z(11). Suppose 356 = k*t + 2*l, -4*t + 3*l + 1104 - 357 = 0. What are the prime factors of t?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 385.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*r - 27, 41*a - r - 39 = 36*a. Let p(f) = -f**3 + 10*f**2 - 20*f + 52. Let d be p(a). Solve 17*o = 13*o - d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 4:47 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2760\/7 + 395. Suppose 7*f + 3*f = 0. Which is bigger: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201 + 12?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4 - -1. Let s = 0.4 + a. Let r = -1839 - -12875\/7. Which is bigger: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qni when three letters picked without replacement from nqwkkqni.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 293461?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*((1 + sqrt(3) - sqrt(3)) + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -767\/658 + 123\/94. Solve -400\/7 - d*n**2 - 40\/7*n = 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6295864949?\nAnswer: 11, 17, 4373, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 362?\nAnswer: 3982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (130*q - 296*q + 163*q + 5)*(q**3 + 0*q**2 + 0*q**2) to u*q**2 + h*q**3 + c + d*q + r*q**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -12362*m - 259609. Determine x(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955 is divided by 155?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67338149.\nAnswer: 67, 83, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, e: 11}. Give prob of sequence wwew.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -345*b**3 + 8*b**2 + 2353.\nAnswer: -1035*b**2 + 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 15, 17\/29, -421 in ascending order.\nAnswer: -421, -1\/7, 17\/29, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003334 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-2\/117)*d*d**(-5\/11) assuming d is positive.\nAnswer: d**(1967\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-1 + sqrt(108)) - (-3 + -1 + sqrt(108) - sqrt(108)))*-2)**2 + -1*-2*sqrt(192) + (1 + (sqrt(3) + 2*sqrt(3) + sqrt(3) - sqrt(3)))**2 + -4.\nAnswer: -218*sqrt(3) + 10828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**4 - 13. Solve v(z) = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118*s - 74*s**2 + 6*s**2 - 118*s)*(0*s**3 + 0*s**3 - 2*s**3)*(3 - 2 - 8).\nAnswer: -952*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4 - 245725*f**3 + 3685616*f**2 + 8354140*f = 0.\nAnswer: -2, 0, 17, 245710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - -0.3. Let c = p + -3. Let h = c - -2.7. Round h to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*d = d - 26, -5*t + 2*d = -29. Suppose 2*r + r - 136 = t*x, -3*x + 204 = 5*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 127 - -65?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.09, 0.3, 0, -3\/40, -6724?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2825 divided by -25.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*l - 19 = -0*y, 5*y - 20 = -5*l. Suppose 0 = 2*w - y*w - 20. What is the nearest to -1 in 1\/4, w, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101696*v - 1468*v + 43427*v.\nAnswer: 143655*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2640 or 95\/17?\nAnswer: 95\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (11 + -17 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 14 + -19 + -15 + 0.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -16. Let u = t + -9. Let z = -8569\/6 + 1428. Sort u, 1\/4, z, -0.1 in descending order.\nAnswer: 1\/4, -0.1, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 - 12*f**3 + 16*f**3 - 2*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*u = 6404, 5262 = 4*v + 2*u - 1172. Suppose v = 11*g - 2882. What is the highest common factor of 51 and g?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 - 6.31\nAnswer: -6.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -3*(sqrt(17) - sqrt(34)\/sqrt(2)) + sqrt(17) + sqrt(17) + 0 - (-2*(sqrt(17) + 0 + sqrt(17)) + -3)) + 3.\nAnswer: 6 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -5*-1*sqrt(7))**2 + 5 + 4)*-1.\nAnswer: -188 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1333734956 to 4 decimal places.\nAnswer: -0.1334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*v - 4 - 8, 0 = -3*d - 3*v + 12. Let f be d\/(-96)*-4*-4. Which is the nearest to f? (a) 6 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2. Let w(t) be the second derivative of 0*t**2 + 0*t**3 + 0 - 30*t - 1\/12*t**4. What is w(j(n))?\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.394768 minus 0.4?\nAnswer: -0.794768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 6 = -5*f + 16*w, -3*w = -f - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/3*j**3 + 1\/3*j**4 + 25\/3*j**2 + 0*j + 0.\nAnswer: j**2*(j - 25)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v + 0*v**2 + v**2 - 2*v + 5. Let a(d) = 2*d**3 - d**3 - 5*d + 57 - 51 + 4*d**2. Let o be a(-5). Calculate w(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 5. Let j be m(15). Let n(a) = 18*a**3 - a - 1. Let f be n(-1). Let i be ((-9)\/f)\/(2\/j). Sort -4, 1, i in descending order.\nAnswer: i, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34295671*n**4 + 2*n**2 + 2*n - 1142086 wrt n?\nAnswer: 823096104*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*v + 2*m, m + 1630 = 4*v + 1634 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.84 - -0.66. Which is the closest to s? (a) 0 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 8 = 3. Let k(t) = 87*t**3 - t + 82*t**3 - 170*t**3 + 4*t**2 - 4*t**2. What is k(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 + 32 = -r - s, 0 = -4*r + 5*s + 537. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.414 rounded to one decimal place?\nAnswer: -21.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(sqrt(1216) + 1))**2 + -5*sqrt(1216)*-1 + 3.\nAnswer: 616*sqrt(19) + 43816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/3 - 2*x**3 + 28*x**2 - 200*x\/3 + 48 = 0. What is x?\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -1266*a**2 + 3*a - 2. Let c(k) = 2102*k**2 - 5*k + 4. Let y(u) = -3*c(u) - 5*i(u). Let b(x) be the first derivative of -x**3\/3 - 1. What is y(b(m))?\nAnswer: 24*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60081737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 - 2*b**2 + b**2 + 4*b**2 - 2*b**2 - 4*b**2 + (2 - 2 - 1)*(2*b - 2*b + b**2) + b**2 - 5*b**2 + 2*b**2 - 3*b**2 + 3*b**2 + 2*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291, 1176, 2651, 4716, 7371?\nAnswer: 10616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-15 - (-6 + 31))*(-13 - 20748\/(-1620))?\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 165.5726 and 4.32.\nAnswer: 169.8926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**0\/a*a\/(a*a**(-11))*a**(-8)*(((a*(a\/((a*a*(a*a\/a**(-4)*a)\/a*a)\/a))\/a)\/a)\/a)\/a assuming a is positive.\nAnswer: a**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + 12887?\nAnswer: 12893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340457312?\nAnswer: 2, 13, 631, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r - 3. Let l(x) = 10*x + 2. Let p(k) = 3*d(k) + 4*l(k). Let v(m) = -2*m**2. Give p(v(u)).\nAnswer: -20*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cak when three letters picked without replacement from eakic?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/10)\/((-10)\/25). Let w = -20 + 21. Solve o = y*o + w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194 - 190 - 1415 = 257*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**2*v**4*z + 95012*c**2*v**4 + 3387*c**2*v**2*z + 2*c**2*v*z - c wrt v.\nAnswer: 48*c**2*v*z + 2280288*c**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1385*u + 74. Let o be s(9). Let m = o - 8212. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 8. Suppose 12 = r*d - 2. What is the first derivative of -12 - 5 - d*y**4 + 3 + 5*y**4 wrt y?\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/18 + 58\/18. Let f be (-1)\/(u\/(-12))*1. Suppose 2*h + 2*h = f*d + 60, -4*h - 4*d = -60. Solve -s + h = -3*l - 2*l, -3*l - 6 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -84, 1\/4, 2, 4\/9, -2\/19, 0.155?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1353*o - 13 + 13 - 2)*((-2 - 1 + 1)*(4 + 0 - 2) - 1 + 6 + 1) to r + k*o and give k.\nAnswer: -2706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 9*h + 6*h - 236198. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -5, -4, -151 in ascending order.\nAnswer: -151, -38, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -342.029682 to 1 dp.\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 c when two letters picked without replacement from yfucy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/16*(5 - 1). Solve s = 2*u - 0*s + n, 0 = -3*u + s - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0\/o*o)\/(o*o**(12\/11)\/o*o*o*o) assuming o is positive.\nAnswer: o**(-45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a*(a**(2\/3)\/a)\/a))\/a)**(1\/23))**(-23)*(a**2\/(a\/a**(-2\/9)*a*a))\/(a**(-5\/3)*a**(2\/5)) assuming a is positive.\nAnswer: a**(32\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 + 20*n - 39. Let g be t(7). What is the highest common factor of g and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 5:53 PM?\nAnswer: 487","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Let n(y) = -2*y + 4. Let m = -43 + 39. Let b be (m - 1)*(19 - 20). Let u(x) = -2*x + 5. Let a(h) = b*n(h) - 6*u(h). Give o(a(w)).\nAnswer: -2*w + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9*n**3 - 2*n**2 + 17*n - 2. Let b(l) = 10*l**3 - 3*l**2 + 16*l - 3. Give 2*b(t) - 3*x(t).\nAnswer: -7*t**3 - 19*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-14)*m)\/m)**(-17) assuming m is positive.\nAnswer: m**238","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 9*o**2 - 5*o + 28. Let k be s(-8). Suppose -5*n = k*z - 17350, -3*z - 15 = -0*z. List the prime factors of (n\/(-8))\/9*-4.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 427 + -2747.5.\nAnswer: -2320.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 357 + -74?\nAnswer: 2c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**9\/252 + q**5\/20 - q**2\/2 - 3*q. Let w(j) be the first derivative of i(j). Find the third derivative of w(y) wrt y.\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*z + 2*b = 44*z - 26, -2*z = 3*b + 10 + 29 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 1, e: 1, d: 1, q: 1, o: 2}. Give prob of sequence dl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 170562 divided by 4061?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*t, 4*t = 2*b - 96 + 4. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*y - 8 = v, 0 = -3*v - y + 3. Let f be v\/(-5) + (-4)\/(-10). Suppose -2*t + 16 = -f. Solve 2*m + 0*m = -4, 0 = 5*x + 4*m + t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 85. Let l be g(30). Suppose 3*o - 2*o - 2 = 0, 2*o = b - 3. Suppose -b = 4*k + 3*h, -6*k - 5*h + 7 = -4*k. Put l, -5, k in ascending order.\nAnswer: -5, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r + 7. Suppose 0 = 22*w - 33*w - 55. What is c(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0\/6 + (-324)\/16 and -23 - ((-28)\/(-8))\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + k. Let a(r) = r**3 + 3*r**2 - 3*r. Let i(m) = -a(m) + 4*j(m). Let d be i(-8). Suppose -3*u = -u - d. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247, -256, -277, -316, -379, -472?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 + 77.99918. What is p rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 98848960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**3\/3 - 75664*i**2\/3 + 35177740*i\/3 + 35253400\/3 = 0.\nAnswer: -19370, -1, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1103614 divided by -1.\nAnswer: -1103614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -22. Suppose 3 = f*d, -3*d = -4*s - 1 + 2. What is the tens digit of -6*6*s\/(-1) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 + 7*q**2 + 9*q - 3. Let n(u) = 3*u**3 + 10*u**2 + 14*u - 6. Let a(y) = -3*n(y) + 5*v(y). Let c(z) = -z - 1. Let k be c(3). Give a(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 24. Let y(s) = -36*s + 114. Give 5*q(z) - y(z).\nAnswer: 41*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 4)*(-2 + 2 - 3*z) + 6 - 3 - 4*z - 26*z in the form b*z + d and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 159 + o + 147 - 494 + 163. Give q(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153855261 and 378.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5814 and 14858000?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.854 and 7.\nAnswer: -5.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1070, -1088, -1106, -1124, -1142, -1160?\nAnswer: -1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 170*q + 9 = 173*q, -5*k - 6 = -2*q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 919161 by -3.\nAnswer: -306387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyeq when four letters picked without replacement from hmmhmheqqqqqqyqmqmqq.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*d**6*h - 14*d**3*h**2 + 3*d**2*h - 2*d*h**2 + 643*h**2 wrt d.\nAnswer: 840*d**3*h - 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 83 (b) 3 (c) 5 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 0*p**3 + 0*p**4 + 1\/12*p**6 - p - 2 + 0*p**2 + 1\/20*p**5. Let v(t) be the first derivative of q(t). Factor v(c).\nAnswer: c**3*(5*c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169382*c**2*l**2 + 743*c**2*l - 7*l wrt l.\nAnswer: -338764*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 1504*v - 1509*v - 4*n, -2*v = 4*n - 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*y = 500 + 1030 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*g + 0*g + 43*g + (-4*g + 4*g + g)*(1 + 2 - 2).\nAnswer: 61*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 + 47.7. Let y = 5.3 + j. Which is the smallest value? (a) 0 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - 0.2. Let i = -51 - -50.94. Let n = 0.02 + i. Is n equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*k**2 - 5*k**2 - k**2 + 3 + k**2 wrt k?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577305\/25 - ((-9)\/(-15))\/(9\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*1 - (3 + -5). Let v(i) = -2*i - 3. Let o(t) = -5*t**2 - t - 4. Let r be o(-2). Let s(p) = -7*p - 11. Determine r*v(g) + w*s(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6\/25819 - 2297459\/1858968. Find the common denominator of h and -137\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001110000011001011000 + -11?\nAnswer: 1000001110000011001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12857.\nAnswer: 13, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 1953 = 21*f, 0*n + 4*n - 2*f + f = -2*f + 93 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-11) + (-2)\/11. What is the highest common divisor of 9 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301770, 603544, 905306, 1207050, 1508770, 1810460, 2112114?\nAnswer: 2413726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 3*w**2 - 10*w - 5. What is g(-5)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2918, -3483, -4048, -4613, -5178?\nAnswer: -5743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 6589*s**2 - 2 + 27 - 17 in the form b*s**2 + q + v*s and give b.\nAnswer: -6589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 13 = 25. Let z be -39*(4\/(-3) + n). Solve -15*s = -z*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4056 + 4134. Calculate the least common multiple of z and 390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -523469319*a**5 + 528*a + 55963?\nAnswer: -10469386380*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/81 + (-1 - 14\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 greater than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 13*z - 16*z. Let a = -9 - z. Let c = a + -12. Solve 5*i + 3*s = 5, -c*i + 2*i = 2*s - 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131017 (base 10) in base 11?\nAnswer: 8a487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.085469125 rounded to 4 dps?\nAnswer: 0.0855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 8:47 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 - 1) - 3 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 441*t**2 + 4801*t + 148869. Give k(429).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4626511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) 0.2 (c) 402 (d) -5 (e) -0.069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 0. Let j be u\/(-10)*2*4. Suppose -j*i + 4 = -4. Solve -a + i*f = -12, 4*f = -a - 11 - 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-16))\/(15\/48) - (1 - 4690). Round j to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 14*s**2 - 12*s - 10. Let u be o(13). What are the prime factors of ((-44)\/33)\/((-1)\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111*d**3 + 2*d - 62 wrt d.\nAnswer: 666*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((1614\/(-162) - -10)\/1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544054?\nAnswer: 2, 7, 38861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 10*q - 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.75 - 0.6. Let j = -0.22 + c. Is 1 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 12:32 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10*-6*(-30)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -2*c**3\/3 + 2*c**2 + 6*c - 22. Factor d(q).\nAnswer: -2*(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*y**3 + 474*y**2 - 312*y.\nAnswer: -3*y*(y - 52)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*5.816.\nAnswer: -0.23264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.2 + -3. Let h = -0.6 + s. Let n = -0.5 + 0.8. Which is the closest to -0.1? (a) n (b) h (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -6 - (15 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b**2 + 4 - 4)*(-3 - 1 + 7) + 0*b**2 + 0*b**2 - 2*b**2)*(-4 + 3 + 0) + (-b**2 + 0*b**2 - b**2)*(1 - 1 - 3) + 3*b**2 + 2*b**2 - 2*b**2.\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 448, -1, 0 in descending order.\nAnswer: 448, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -12. Suppose n - k*n = -88. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*d**4*j + 7*d**3*j - 83*j with respect to d.\nAnswer: 32*d**3*j + 21*d**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppahaahh. What is prob of sequence ah?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.14277 smaller than -78\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 + 2*x**3 + 7*x**3 - 2*x**3.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 3 - 3)*(2 - 4*m**2 - 2 + (-6*m + 3*m + 0*m)*(0*m - 2*m + m)).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 627616205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2\/4 + 237345*r\/4 = 0 for r.\nAnswer: 0, 79115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 3*t + 60. Calculate g(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 399.136 + -2.136. Which is smaller: 3 or a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**4\/24 - i**3\/2 + 265*i**2. Let z = 14 - 10. Give a(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(0 + -2)\/(-4). Solve -i + 2*p + p = 14, -4*i - 2*p + 14 = n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 23. Let q(r) be the second derivative of -r**4\/6 - 2*r + 7. What is q(j(k))?\nAnswer: -2*k**2 - 92*k - 1058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r - 3. Let s(h) be the third derivative of -7*h**4\/24 - 7*h**3\/6 + 2*h**2. Give -5*f(y) + 2*s(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-9))\/(30\/((-42)\/(-7))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 47. Calculate the greatest common divisor of 6 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -10*z - 26. Let y(p) = 7*p + 17. Let t(c) = -5*s(c) - 7*y(c). Let x be t(-9). Suppose -17 = -2*b - 3*r, 1 + 0 = r. Solve 1 = -x*o - b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3011\/10759 + -9\/1537. Which is the nearest to n? (a) -1\/3 (b) -5 (c) -7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -358*l**2 - 11*l + 5. Let p(f) = -358*f**2 - 16*f + 7. Calculate 2*p(g) - 3*u(g).\nAnswer: 358*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w - 40*w**2 + 13*w**2 + 15*w**2 - 5 + 13*w**2 as z + a*w + k*w**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 417*q**2 + 420*q.\nAnswer: -3*q*(q - 140)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 40.3 * -8.37\nAnswer: -337.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -278, -416, -554?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 - -0.34. Let z be 0 + -3 + 73 + -1. Let q be 2 + 3 + z\/(-15). Which is the biggest value? (a) 5 (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 9 = -2. Suppose 3*t + 38 = 4*l, -3*l = 11*t - 14*t - 39. What is the remainder when (-124)\/28 - 6\/t - -36 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49027677.42 + 61.\nAnswer: 49027738.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 34 = -2*l - 5*h, 2*l + 3*h - 31 = 0. Let u(v) = v**2 - v - 1. Let j be u(-2). Solve l = -j*n + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/6 - 779276*k\/3 + 519517\/2.\nAnswer: (k - 1558551)*(k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 - -4 - (-8 + -6 + (-10 - -19) - -10)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 276369035 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.98, 5, -4.3, -2\/3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 0 + sqrt(13) + 2 + sqrt(13) + (sqrt(208)*-4 - sqrt(13))**2.\nAnswer: 3*sqrt(13) + 3759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1420 = 38*d - 18*d. Calculate the remainder when d is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330) + sqrt(330) + (1*sqrt(330)*3 + sqrt(330) - sqrt(330)))\/sqrt(10))\/(sqrt(12)\/(sqrt(4)*1) + sqrt(36)\/sqrt(3))*1.\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-24))\/((-1)\/63). Suppose 0*x - 20 = -5*x. Suppose p = -g - 2*p + 8, x*g = -2*p + 52. What is the greatest common factor of a and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87371 and 442144?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 111 - 29 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9621374 rounded to 3 dps?\nAnswer: 0.962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1079916488 and 0.0358.\nAnswer: -1079916487.9642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -124 divided by 81\nAnswer: -124\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -9*f + 4*q + 39, -2*q = -f + 26 - 23 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5*o = -20, f + 3*o + 5 = 7*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-4))\/(v*v\/(v*v**9)*v))\/(v**(-2\/9))**(-9\/10)*(v\/((v\/(v\/((v*v**5*v)\/v)))\/v)*v)\/(v\/v**(-3))*v**(-3\/5)*(v**(-7)*v)\/v assuming v is positive.\nAnswer: v**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1. Let y(p) = -w - 2 - p - 2. Let d(z) = -169*z + 507. Let t be d(3). Calculate y(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((0 + (-4*2*sqrt(2) - sqrt(2) - sqrt(2)))*4 - (2*((sqrt(8)\/sqrt(4) - sqrt(2)) + 4) + 3)))**2.\nAnswer: 31680*sqrt(2) + 119556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100642*b**3 + 51555*b**3 - 50822*b**3 + 35814*b**3.\nAnswer: 137189*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 983923*r - 11807039. What is l(12)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in -1, -0.4, -1\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7812266 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s**3 - 27*s**3 + 285*s**3.\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32968996169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8827785 is divided by 4413892.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) -1 (c) -0.03 (d) 3\/2 (e) -2\/3 (f) -412 (g) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*sqrt(2)*5*-1.\nAnswer: 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let w = 25 + -24. Let h(t) be the second derivative of -7*t**3\/6 - t. Give w*h(v) + 6*o(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*a**3 - 5*a**3 - 5*a**3 + 17*a + (-2*a + 2*a + 2*a)*(-3 + 3 + a**2).\nAnswer: a**3 + 17*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d - 7 - 4*d**3 + 3 + 5 as v + r*d**3 + f*d + l*d**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/10)\/(108\/540)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.34 - -0.54. Let j = h - -9.4. What is the nearest to 2\/7 in -3, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 7*o - 3. Calculate b(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 526736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42793 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l + 6. Calculate x(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.591753+-18.07\nAnswer: -17.478247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 - (0 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 262\/265 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g = -3*x + 26*g + 1, 12*x + 4 = 4*g. Let i = -2 + 6. Suppose -2*n + 10 - i = x. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -2 - (-10 - -18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1740881 and -0.02003.\nAnswer: -1740881.02003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -88*u + 16. Determine a(-2).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2762294 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32812956 and 123328?\nAnswer: 525007296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 9*k. Suppose 29 = -0*z + 3*z + v, k = -v - 4. What is the remainder when 21 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + v**4 + v**3 + (3*v**2 - 2*v**2 - 3*v**2)*(v - 2*v + 3*v)*((-1 + 9*v + 1)*(-4 + 1 - 2) + 65994 + 160*v - 65994).\nAnswer: -459*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -23*c - 119 + 234. Calculate the remainder when 50\/1*(-4)\/(-10) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1647 divide 1028510668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = 30. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1192680414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1182321 less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l. Let s be t(-1). Is s bigger than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45.755 * -45.\nAnswer: 2058.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffvd when four letters picked without replacement from {v: 1, f: 4, d: 8}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 - 5*m**2 + 4*m + 10 + 2*m**2. Is r(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3184291589 and -337.163?\nAnswer: 3184291926.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.73 - -3.03. Let f = -1\/10 + -13\/70. Let w(v) = -v. Let b be w(-2). What is the second smallest value in f, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**3*z**2 - 5*v**3*z + v*z**2 - 5*v wrt v?\nAnswer: -12*v*z**2 - 30*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 2\/9 (c) 24 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -67267, -134534, -201801?\n\"Answer: -67267*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, 215, 492, 789, 1112, 1467, 1860?\nAnswer: 2297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.202 * 0.4\nAnswer: -0.0808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 217 - (174\/261 - (-1)\/3). Calculate the highest common factor of 243 and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 - 217 = -4*x. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/73 or 0?\nAnswer: 8\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + 1*sqrt(18).\nAnswer: -3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16737.39901 + -16735. Let z = j + -2.4. What is z rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/3 - 0\/(-3). Let d = 2 + 2. Which is the second smallest value? (a) 3\/7 (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/32*72\/(-30)*2. What is the second biggest value in -4\/9, -0.4, -0.1, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - -2. Suppose 3*k + m = 3*b + 4, -17 = -2*b - k. Calculate the remainder when 12 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 790 + 1388 = 6*n. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7498, -30274, -53062, -75868, -98698, -121558?\nAnswer: -144454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 23*r**3 - 34*r**2 + 21*r + 951. Is i(34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 973.8484 nanograms in kilograms?\nAnswer: 0.0000000009738484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5*g**3 - 4 + 0*g**3 + 2 + 4.\nAnswer: 5*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-325)\/15 + 3)*(-45535 + 10). Round o to the nearest 10000.\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**5\/20 + 5*c**4\/12 + c**3\/6 + 2*c**2 - 6*c. Does 9 divide m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.56 take away 4365763?\nAnswer: -4365754.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 334213, 334214, 334215?\nAnswer: 334216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 22 + -1 + -4 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20 (b) -2 (c) 3\/5 (d) -1\/28 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 3198*a - 6385*a + 3284*a.\nAnswer: 3*a**2 + 97*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.39 + 5.05. Let a = -0.14 - d. What is a rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 13) in base 7?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -0.8 (c) -2\/11 (d) 130.8 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141948, -141949, -141950, -141951, -141952?\nAnswer: -141953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 7. Let m = 0 + 6. Calculate the remainder when o(-9) is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5597 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/6 + 8410*l**2\/3 + 229339*l\/2 + 218127.\nAnswer: (l + 2)*(l + 39)*(l + 16779)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - b)*(1 + 2 - 4)*(1 - 5 + 1)*(-5*b**2 + 3*b**2 + 0 - 6) - 141*b**3 + 658*b**3 - 310*b**3.\nAnswer: 213*b**3 + 18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3 + 4\/6. Let t(w) be the second derivative of 0*w**5 - w + 0 + j*w**3 + 0*w**4 - 1\/2*w**2 - 1\/30*w**6. Differentiate t(s) wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 9*g - 3. Let f(h) = -10*h + 3. Let b(v) = 2*f(v) + 3*w(v). Calculate the remainder when b(1) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - d - 1. Let f(m) = -m**2 - m. Let p(z) = -3*f(z) + 2*w(z). Let b be p(-2). What is the smallest value in -3\/5, 0.3, b?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 239452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -61\/24 (b) -0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2460116 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: Simplify (f\/f**(1\/20)*f*f)**(13\/3) assuming f is positive.\nAnswer: f**(767\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = k - 0*k + 3*s, -5*s = -5*k + 40. Suppose 8*o + 17*o + 34*o = 0. Solve o = k*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343 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 5*j = -10, 3*j - 90 = -x + 1162. Suppose -8*d + x + 262 = 0. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6121\/231 - 419\/21. Is q less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-70) - (-2)\/10. Suppose s = -h + 7*h - 18. Let q(m) = 8*m**3 - 3*m**2 - 4*m + 2. Is q(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1 (c) 5 (d) -2 (e) -13 (f) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8140*v + 1570996. Determine k(-193).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 169 - 136. Calculate the greatest common factor of 231 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 670, 640, 564, 418, 178, -180?\n\"Answer: -4*p**3 + p**2 - 5*p + 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 29 + -1 + -1 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20 - 8 + 5*o + 8 + 43 wrt o?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23, -45, -83, -137, -207, -293, -395?\n\"Answer: -8*s**2 + 2*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65178579 plus 0.02?\nAnswer: 65178579.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = -2*a. Let i = 5 - a. Let h = -53 - -58. Calculate the remainder when i is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184600, 185764, 186924, 188080?\nAnswer: 189232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33422090 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 19. Let k be h(-8). Suppose 34 = 3*a - k. What are the prime factors of 136\/(-12)*a\/(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*g - 40*g - 19*g + 15*g + 10*g.\nAnswer: -69*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 2*y - 11 = 2*s, 0 = 4*s - 5*y + 7. Let x(v) = 3*v**3 - 4 + v - 4*v**3 + 6*v**s - 2. Let l be x(6). Which is bigger: l or -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 120 = 4*l, -1169*l - 128 = -3*k - 1165*l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (1*((sqrt(102) - 5*sqrt(102)) + sqrt(102)) - sqrt(102)))\/sqrt(1944) + -5.\nAnswer: -5 - sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = f - 24. Suppose 3*n - 49 = -f. Calculate the remainder when 37 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.08 + -0.08. Let g = m - 4. Let b = 379\/117 + -45\/13. What is the biggest value in 4, b, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 111*a**2 + 2*a + 1. Let p be i(1). Suppose -71 - p = -5*l. Let d = l + -10. Calculate the lowest common multiple of 15 and d.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.218 + -229.218. Let x = h + 250. Is -1 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 428 = -4*s. Let c(t) = 144*t + 1173. Let b be c(-8). Let z = s - b. What is z rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -2 - -3 - (-18 + 14)) + -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*73*8\/6. Is f greater than or equal to 291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07, 0.27, -3, -1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-600)\/(-4500) + (-137)\/15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 3:09 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a - 54 = -4*p, -40 = 5*a - 3*a - 44 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-6 - (-8 + -1)) - 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**2 - 2*d**2 + 2*d**2 - 1 + 3*d**2 + 1 + (-2*d - 2 + 2)*(1 + d - 1) - d + d + d**2 - 3 + 3 + d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -9, 46, 2, -4 in ascending order.\nAnswer: -9, -4, 2, 5, 6, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 9 = -27*t, -5 + 136 = -2*q + t for q.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 12:31 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -870*k + 873*k + h = 870, -3*k - 2*h + 867 = 0. Calculate the remainder when k is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 886849730?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -26*p - 139 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 398934001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68471738, 136943474, 205415210, 273886946, 342358682?\nAnswer: 410830418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122490849 and 468.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**2 + 31520*l - 188976 = 0.\nAnswer: 6, 7874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v**3 - 67*v**2 - 11*v + 55. Give j(6).\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 + 11*g - 20. What is w(5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ba6 - -385c?\nAnswer: 5735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48\/175 - 6\/175. Let b(i) be the first derivative of 6\/5*i**2 + 0*i - 6\/5*i**3 + t*i**5 + 7 + 0*i**4. Factor b(v).\nAnswer: 6*v*(v - 1)**2*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11837347, 11837354, 11837365, 11837380, 11837399?\nAnswer: 11837422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61886, -123753, -185620?\nAnswer: -247487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 17 + 8 = 0. Let n(y) = 2*y + 0*y - k + 5. Let l(p) = -p**2. What is l(n(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -215889 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1406, -7980, -17370, -26770, -36186?\nAnswer: -45624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 less than -2714.651?\nAnswer: -2791.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from uudud?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and 0.07.\nAnswer: 0.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-52)*(-10 - -11)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*n**2 - 11*n**3 + 16*n**3 + 13*n**3 + 4*n**3 wrt n?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*y**3 - 300*y**3 + 101*y**3 + 112*y**3.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 1. Let u(o) be the first derivative of -o**2\/2 + o - 1. Let m be (-8)\/(-4) - 3*1. Give m*u(w) + 3*i(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**3 - 99*o**2 - 90*o + 192 = 0.\nAnswer: -32, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*(-2 + sqrt(931)*2 + -1 + -1*sqrt(931) + -1 + sqrt(931) + sqrt(931) + ((sqrt(931) + 1*sqrt(931) - sqrt(931)) + sqrt(931))*-2)*-2)**2.\nAnswer: 3696*sqrt(19) + 60673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 444419477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in minutes?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -56.4. Let u be ((-32)\/(-4))\/(3\/6). Suppose u = -5*r + 26. What is the second biggest value in f, -13, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 7. Let w(j) = -j**2 + 9*j + 4. Let s be w(9). Suppose -s*q + 102 = -q. What is the remainder when q is divided by r(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 10:47 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -231, -1160, -2815, -5196, -8303?\n\"Answer: -363*x**2 + 160*x - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*w + 325*w + 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 361160 and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**3 - g**2 - 9*g - 9. Let c be w(-1). Factor 2\/9 + 7\/9*o + 8\/9*o**c + 2\/9*o**3 - 2\/9*o**4 - 1\/9*o**5.\nAnswer: -(o - 2)*(o + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + 35*c + 22 = 50*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 5) to base 6.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 12 = -5*o + m, 5*m = -4*o + 26. Suppose 0 = 7*z - 111 + 34. Calculate the remainder when z is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyueiieiiyxihhi. Give prob of sequence ux.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r = -6. Suppose -55 = -9*f + 4*f. Solve -f = -r*m - 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9326 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 9. Let k = c - 6. Let m = 0.2 - -0.8. What is the closest to -0.2 in m, -5, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6*9\/189)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007501773 rounded to seven decimal places?\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 111*w**2 + 14*w + 112*w**2 + 66*w**2.\nAnswer: 289*w**2 + 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*t + 29*t + 34*t - 105*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 147*b**4 - 47355*b**3 - 40662*b**2 - 81372*b\/7 - 7752\/7 = 0?\nAnswer: -2\/7, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001110100 (base 2) in base 4?\nAnswer: -121310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 802, 803, 804, 805?\n\"Answer: u + 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 694435, 694296, 694157, 694018, 693879?\n\"Answer: -139*r + 694574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2563\/2068)\/(1\/(-4)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k - 2*k**2 + 36*k - 42*k - 195 to x*k**2 + m + j*k and give m.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.98 + -38816.45318?\nAnswer: -38710.47318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 988?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 2*z**2 - z - 3. Suppose -w - 10 = -3*r - 0*w, 3*w - 14 = -2*r. What is the remainder when i(r) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 424157350 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -13, -1 in descending order.\nAnswer: -1, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 2*w + 2*w. Let n(f) = 4*f + 2 - 9*f**2 - 7 + 5. Let p(a) = n(a) - z(a). What is the second derivative of p(q) wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from kkggrhgrgkkhkgkrkrgd?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -175 + 179. Let k(c) = c**2 - 4*c - 4. Let m(d) = d + 1. What is i*m(t) + k(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 1. Let h be l(7). Let b be 19\/3 + h\/12. What is the first derivative of -13*s**2 + 2*s**3 + b*s**2 + 8 + 12*s**2 + 22*s**2 wrt s?\nAnswer: 6*s**2 + 56*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -415 + 11?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)\/n)\/n**(3\/4) assuming n is positive.\nAnswer: n**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7364, 7083, 6802, 6521?\nAnswer: 6240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 904691385 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1476)\/(-328)*(-512)\/144\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20084.660157 - 20083.58. Let c = f - 1.08. What is c rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 5*i**2 - i + 2. Let k be f(5). Let v(t) = -t**2 - t. Let n be v(k). Let o(z) = -5*z**2 - 4. Let c(x) = -4*x**2 - 3. Determine n*c(y) + 5*o(y).\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*q**3 - 6 - 2 + 20*q**3 + 0 in the form f + w*q**3 + a*q**2 + n*q and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnxdnndnnxdxxxndndn. Give prob of sequence nx.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 64 = 80. Let y be -3 + (-22)\/(22\/(-315)). What is the greatest common factor of p and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 2*r - r**2. Let v(x) be the third derivative of -x**5\/60 - 22*x**2. What is v(z(t))?\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u + 29*u + 3*a = 6, 3*u - 39 = -5*a. Solve u*i - 4 - 7 = 2*l, 0 = i - 2*l - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**4\/12 - 7*g**3\/6 + 8*g - 4. Give d(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 15000960*k - 30001932.\nAnswer: 3*(k - 5000322)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1241 + -1246. Suppose -5*u - 15 = -5*x, u + 9 = 2*x - 4*u. Suppose 4*q - 16 = 4*k, 2*q + 2*k - 22 = -x*q. Sort q, a, 3 in decreasing order.\nAnswer: q, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*0.6206.\nAnswer: -0.43442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/301 in -3, -0.5, -0.073, 7, 0.4?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/7 - 669*s\/7 - 335\/7 = 0. Calculate s.\nAnswer: -1\/2, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfab when four letters picked without replacement from bbaafabaabbaaf.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -8*w**5\/7 + 78*w**4\/7 - 244*w**3\/7 + 222*w**2\/7 + 72*w\/7 = 0.\nAnswer: -1\/4, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4418 + 2*t + 3*t**4 - 8308 + 5195 - 2*t**2 in the form l*t + x*t**4 + y*t**2 + g*t**3 + s and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 8523.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.440641 take away 230.42?\nAnswer: -239.860641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*f + 3*f**2 - 2*f**2 + 0*f**2 - f to g + x*f + s*f**2 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k - 50 = -4*k. Let f(g) = 2416*g**2 + 5*g + 7. Is f(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*o + o + 3*o)*(-4 + 5 - 3) - 3*o + 4*o - 25*o)*(0 + o + 0)*(0 + 0 - o).\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/(-3))\/(7\/21). Let n be (-6)\/15 + 8\/(-5). Let j = n - m. Solve 4*u + u = -j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96253047863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p**2 + 94*p + 440. Determine j(-8).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 1 = -7*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 + -2 + 5 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*(sqrt(11) + sqrt(44)\/sqrt(256)).\nAnswer: -135*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8544984 and 8544984.\nAnswer: 8544984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7199011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 425 divided by -85.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-5 + 0 - (42 + -39)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -3172496.\nAnswer: -3172496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4999.16 or -0.61?\nAnswer: 4999.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 81853101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1700) - 5*sqrt(1700))**2 + -5 - (0 + (sqrt(2448) + 0)**2)*-3.\nAnswer: 61739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.7, -3, -2, -5, 0.1 in descending order.\nAnswer: 2.7, 0.1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1834 and 8918.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2775195 a multiple of 1685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2769, 2786, 2801, 2814?\n\"Answer: -w**2 + 20*w + 2750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 5*x**2 - 3*x + 9. Let m be a(-4). Suppose 25 + 110 = m*f. What is the highest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c**2 - 4*c + 2. Let k = 5 + -10. Let i(z) = -z**4 - 17*z**2 + 8*z - 5. Let j(s) = k*r(s) - 2*i(s). Factor j(q).\nAnswer: 2*q*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-6)*6 - -6. Let a(r) = 2*r**2 + 2*r - 4. Let z(q) = -5*q - 2. What is the least common multiple of a(p) and z(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/139 (b) -5 (c) -1\/3 (d) -1 (e) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 883*h**3 + 2655*h**2 + 2657*h + 886.\nAnswer: -(h - 886)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7298 + -7292.809. Let t = k - 5.82. What is t rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 2 = -s. Let j = 1 - s. Suppose -2*t + 2*r - 9 = -r, -3*t + 5*r - 15 = j. Solve -2*b + 3*u + 2 + 15 = 0, t = 2*b + 2*u + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 315 - 2202\/7. What is the third smallest value in -1, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 57. Suppose -2*k + 2*r = -28, 0 = 3*k + w*r - 34 + 8. What is the remainder when 44 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 317 + 9830*y**2 + y**3 - 9830*y**2 + ((3 + y - 3)*(-4 + 4 + 2*y) - 3*y**2 + 0*y**2 + 5*y**2)*(-y + 3 - 3).\nAnswer: -3*y**3 + 317","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/13, 3, 0.5 in ascending order.\nAnswer: -0.4, -1\/13, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 12:52 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -454*m**3 + 3*m**2 - 3*m. Let v(d) = -1359*d**3 + 10*d**2 - 10*d. What is -3*v(l) + 10*y(l)?\nAnswer: -463*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, -13, -1, 0.\nAnswer: -90, -13, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 52373*m + 418926. What is g(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 6*g. Let w = -10 + 13. Let q be (-2)\/w - (-120)\/18. Let a be h(q). Solve a*k = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -33. Let h(a) = -a**3 - 7*a**2 + 202*a - 21. Let i be h(11). Let r = v + i. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x + 33. Let r(i) = -i - 1. Determine g(c) + 6*r(c).\nAnswer: c + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.109 - 0.11. What is u rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12307 (base 8) in base 9?\nAnswer: -7260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 17*u - 293. Let v be c(21). Which is bigger: 61 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 38. Suppose -3*a - 2*n + 5275 = 0, 4*n + n + 8800 = 5*a. Suppose s*u = -464 + a. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -796 and 3997?\nAnswer: -3181612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9566033?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1 = o - 17, o - 21 = -3*t. Suppose -5*y + 4*y = 4*i + 62, 3*i + 3*y = -51. Let g = o - i. Calculate the remainder when g is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-13)\/r**(1\/5))\/(r\/(r*r*r*(r\/(r*r*r**(1\/26)))\/r*r))**(-2\/13))**(-4) assuming r is positive.\nAnswer: r**(45116\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319046542.\nAnswer: 2, 1307, 122053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((-2)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*x - 26*x + 19*x)*(2*x + 94*x**2 - 33*x**2 + 0*x).\nAnswer: -3233*x**3 - 106*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 48.6. What is the closest to 0.1 in g, -4, -2\/33, -0.5?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/17? (a) 4 (b) 5 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p - 3. Let u = 0 + -3. Let d(y) = -4 - 2*y + 6 + 3*y - 3*y. Suppose -40 = 9*v + 11*v. Determine u*d(w) + v*g(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7*(51\/(-21) + 2). Suppose -2*t - h + 11 = 0. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121653 is divided by 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4) + 22\/4. Suppose 5*l - 25 = -b*d, l = -d + 2*d - 1. Let r be (-2)\/d + 16\/6. Solve -r*j + 2 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -192700 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**2 - 5450*j + 112577 wrt j?\nAnswer: 4*j - 5450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 167521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 5, o: 3}. What is prob of sequence xo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 5:53 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 82010, 328446, 739202, 1314302, 2053770, 2957630, 4025906, 5258622?\n\"Answer: 4*c**3 + 82136*c**2 - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**3 - 2*g**2 + 10*g + 12. Let i be n(-1). Factor -2\/3*y**2 - 6 + i*y.\nAnswer: -2*(y - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-3*g**2 + 6*g**2 - 2*g**2) + (-g + 2*g - 2*g)*(-3 + 3 + g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678915.\nAnswer: 3, 5, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711588158.\nAnswer: 2, 355794079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*r**5\/7 + 356*r**4\/7 + 728*r**3 - 2704*r**2\/7 - 20128*r\/7 + 5120\/7 = 0. Calculate r.\nAnswer: -10, -2, 1\/4, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b + 14. Let y(z) = -z. Let p(o) = -w(o) - 5*y(o). Calculate p(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580812 at most as big as 1580813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 8496.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*1\/(-32)*(-80)\/255.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/189 and 157\/72624.\nAnswer: 4575312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 4*t**2 + 4*t - 2. Let n be f(-5). Suppose -3*p = n, b - 2*p + 7*p - 37 = 0. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*o - 13, 7 = -o - 4*o - 3*d. Let i be 361 + (o - 2) - 3. Calculate the highest common divisor of i and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440)*-1*-3)\/(sqrt(8) + sqrt(8) + ((sqrt(8) - sqrt(24)\/sqrt(3))*4 - sqrt(8)) + sqrt(256)\/sqrt(2) + sqrt(8)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 5*t**3 + 0*t**3 + 2*t**3 + 0*t**3 + (-2*t - 1 + 1)*(7*t**2 - 4*t**2 - t**2) - 4*t + 4*t + 2*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30027287*k**4*q - 12*k**3*q**2 - 5*k**2*q**2 - k**2*q + 2*k**2 - 96*k*q**2 - 14868*q**2 wrt k.\nAnswer: 720654888*k*q - 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3903007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5 - 73. Let j(t) = -t - 23. Let r be j(y). Let i(p) = -p - 2. What is i(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*f**3 + f + 4*f - f - 4*f.\nAnswer: -131*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2336 + -3504. List the prime factors of (-8)\/(-12) + f\/(-3).\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 780 + 655*p**4 + p - 65294*p**2 + 65294*p**2 - 170 wrt p.\nAnswer: 7860*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/369, -2, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o - 21 = 22. Which is greater: 15\/173 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12458, 12848, 13240, 13634, 14030?\n\"Answer: q**2 + 387*q + 12070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 i when four letters picked without replacement from {h: 2, b: 3, c: 1, g: 3, x: 1, i: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - -12. Let n = 0 + 14. Calculate the remainder when q is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (360\/(-1840))\/(12\/(-23))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/3 + 2*m**2 - 236*m\/3 - 80 = 0 for m.\nAnswer: -12, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 2031?\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -7*c**2\/2 + c + 53. Give z(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 r, and 1 x when three letters picked without replacement from xcxrxjbbjjfx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -55*m**3 + 6*m**2 - 42*m - 1. Is h(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -41, 0.5, -0.3, 1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 702623, 1404237, 2105851, 2807465, 3509079?\nAnswer: 4210693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 396366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-36)*(-6)\/(-3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - w + 10 - w + 32 + 10. Let n be c(10). What is the third biggest value in n, 26\/3, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g - 4 = 0. Suppose -4 = k + k + 5*c, -3*k = g*c - 1. Solve -2*n = -0*n - 3*h - 7, -5*n + 22 = -k*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -2*d**3\/15 + 73*d**2\/5 + 456*d\/5 - 2490. Factor w(g).\nAnswer: -2*(g - 76)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -3. Suppose -5*s - 5 = 5*o, 0*o = -l*s - 3*o. Suppose 1 = 2*y + s*m - 2, 0 = -5*y - 3*m + 30. What is the highest common divisor of 63 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u + 6. Let o = u - 18. Calculate the lowest common multiple of 14 and ((-3)\/3*o)\/1.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(6\/24)\/(2\/4). Which is smaller: w or 3\/10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**3 - g**2 + g - 1. Let y be f(1). Suppose -4*r + x - 20 = -9*r, -x - 5 = 0. Is y greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 175 = 6*t. Let g be (-305)\/t + 4\/14. Suppose -5*z + 6 = -g. Put z, -0.5, 1\/7 in decreasing order.\nAnswer: z, 1\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452 a factor of 60338245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1114049 is divided by 26516?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**4 - 301*k**3 + 25*k**2 + 108376.\nAnswer: 4*k**3 - 903*k**2 + 50*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -40*i + 6. Does 6 divide z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*p**3 + 17 + 6 + 2*p**3 with respect to p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/35)\/d**(-10\/3))**(-5))**(-2\/113) assuming d is positive.\nAnswer: d**(712\/2373)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*i = -216*i - 31584. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 10*z**2 + z - 7. Let h be u(10). Calculate the remainder when -92*(2 - (-5)\/(-2)) is divided by 30\/h + 2 + 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/9, -3\/40, -49, -6\/43.\nAnswer: -49, -16\/9, -6\/43, -3\/40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90076 and 157633.\nAnswer: 630532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-4))\/((2340\/(-240))\/(-39))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6255 and 255482?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(513)*2 - sqrt(513)) + sqrt(513) - sqrt(513))\/sqrt(9))\/sqrt(432) + 4*(sqrt(133)\/sqrt(28) + 0 + sqrt(95)\/sqrt(5)).\nAnswer: 73*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 240 - -1?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62511521 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 10*r**5 - 115*r**4 + 450*r**3 - 625*r**2 + 40*r + 240 = 0?\nAnswer: -1\/2, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 50 and -434978121691.\nAnswer: -434978121641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24770*h + 419 + 251 = -24780*h for h.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(28)\/sqrt(4)) - (sqrt(7) - (sqrt(1008)*-1 + sqrt(1008))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -1335403?\nAnswer: -1335401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 760039361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2985 and 382624265?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 138. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249035531?\nAnswer: 249035531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 3. Let h be g(-4). Let s = h - -9. Suppose 8*k = s*k + 88. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98755955*b*u - 3*u + 38361889 wrt b.\nAnswer: 98755955*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 10262115*z - 51310573. What is h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2167661\nAnswer: 3\/2167661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2, -15 in increasing order.\nAnswer: -15, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 560782.8543 rounded to the nearest 100?\nAnswer: 560800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, y: 3, a: 1}. Give prob of picking 2 y.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Suppose f + 4*j + 5 = y, -2*f + 4*j = -3 - 11. Suppose -11*o = -14*o + 15. Solve -o*c = -4*t + 29, -4*c + f*t - 20 = 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a decade in months?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, i: 2}. Give prob of picking 1 i and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/sqrt(9)*-3 + -4 + 2 + sqrt(15)\/sqrt(5) + 2)**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/270 and 1168 + -1170 - (0 - (-146)\/12).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 2*n**2 - 4*n - 1. Let s = -1542 + 1538. Give k(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 74809889, 149619776, 224429663?\n\"Answer: 74809887*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 + -152 + -25 + 1 - (2 - 0)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*j**2 + 20*j**2 - 54*j**2 + 18*j**2 - 2 + 4*j + 12*j**3 + 6*j**4 to the form w*j**4 + p*j**2 + d + c*j**3 + b*j and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 74\/157, -563 in decreasing order.\nAnswer: 74\/157, -13, -563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -9*j - 14528. Let l = j - -18218\/5. Calculate the common denominator of -81\/4 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904) + 2*sqrt(2904))\/(sqrt(144)\/sqrt(2))*-2.\nAnswer: -22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 7:02 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131 - -128. Let b be (126\/(-14))\/(l\/7). Suppose 20*z = b*z - 2. Solve n + z*n + 4*k = 5, -17 = -5*n + 2*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6009*j**2 - 6009*j**2 + 2*j - 73*j**3 to d*j**2 + s*j + a*j**3 + f and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 35 = -3*c, g + 4*c = -c + 3. Is ((-106)\/g)\/(((-20)\/48)\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532615 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d + 7. Let x(h) = -2*h - 3. Give -6*i(v) - 13*x(v).\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-7))\/((160\/1120)\/(1 - 0)). Let s(a) be the first derivative of x*a + 5\/3*a**3 + 15\/2*a**2 + 2. Factor s(o).\nAnswer: 5*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2747*x - 76 = -2709*x. Which is smaller: x or -49\/25?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36058316 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 8.8363 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106.96471*4.\nAnswer: -427.85884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 5*v. Let i(f) = 8*f + f**2 + f**2 + 0*f**2. Suppose -3*b + 4 = -2*b. Let y be b*(-4 - -6)*-1. Determine y*x(h) + 5*i(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 12:56 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**3 + 7*k**2 - 13*k + 1. Let j(g) = g**3 + 2*g**2 - 4*g. What is -7*j(o) + 2*m(o)?\nAnswer: o**3 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 860580 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -o - 583, v + 578 = 2*v + 4*o. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 2*a + 6. Let x be l(4). Let y be 19\/((-6)\/(-36)*6). What is the units digit of 102\/2 + x + y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/900 + v**5\/50 - 17*v**4\/90 + 8*v**3\/15 + v**2 - v. Solve z(p) = 0 for p.\nAnswer: -12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 17994*a**3 - 8995*a**3 + a**2 - 1 + a - 8998*a**3. Let w(k) = 9*k**3 - 2*k**2 + 3*k - 3. What is 3*r(b) - w(b)?\nAnswer: -6*b**3 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12012 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322063556 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: Suppose 24 = 5*l - 1. Suppose 65 = 5*c - 3*a, -4*c + l*a + 49 = 2*a. What is the least common multiple of c and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(sqrt(441)\/(1*sqrt(7)) - sqrt(567)\/(sqrt(18)\/sqrt(2))))**2 + -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/6938 and (-687)\/(-336)*4 + ((-7)\/(-4))\/7.\nAnswer: 48566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -26. Let z(i) = i**2 + 1. Let a(o) = 2*o**2 + 2. Let f(n) = d*z(n) - 2*a(n). Calculate f(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31445 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 4:38 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-1289 + 2592 - 1303 - 6433*d**2).\nAnswer: 12866*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -403, -730, -935, -958, -739?\n\"Answer: 10*z**3 + z**2 - 400*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 39*o + 278. Let x(g) = 4*g. Let m(u) = q(u) - 6*x(u). Is m(-13) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*v)*(2*v**2 + 2*v - 2*v) + (5*v - 36*v + 13*v)*(v**2 + 4*v**2 - 3*v**2).\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3d (base 15) to base 4\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(287\/82)*(218\/(-8))\/(10\/(-20)).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -695696, -695786, -695876, -695966, -696056, -696146?\nAnswer: -696236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 (base 9) in base 7?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.04, -1\/5, 25, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/75)\/(912\/7600)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.05, -4\/3, 13\/2, -0.3, -4 in ascending order.\nAnswer: -4, -4\/3, -0.3, -0.05, 4, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/288 and 133\/18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gppqptgpotpqptq. What is prob of picking 3 t and 1 p?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -198905629.726 minus -356?\nAnswer: -198905273.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -3?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by -40.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100011 - 1?\nAnswer: 101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -0.17, 119\/11 in increasing order.\nAnswer: -0.17, -1\/9, 119\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 595 + -1028. Let g = 678 + a. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.231 and 0.1.\nAnswer: 0.0231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 2*o**2 + 38*o - 21. Give k(-9).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -3\/718343698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-20)\/(-35)))\/(5\/(-5) - 50\/(-40))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 18 - (-5 + (-9 - (-2 - 0)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(48)*-2))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -25. Let i be 4\/(-6) - r\/(-3). Let v = -2 + i. What is the remainder when 12 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -2 + -18 + 22\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, n: 3}. What is prob of sequence nl?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ab - -2?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.7162 rounded to 1 decimal place?\nAnswer: 17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3025 = 4*g, 33*g - 3037 = 29*g + o. Solve 0 = -13*z - 851 + g for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15054 + 271111\/18. Calculate the common denominator of p and 41\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggqs when four letters picked without replacement from {s: 1, y: 1, q: 4, g: 3, f: 7}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2359 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: Collect the terms in 0*i**3 - 3*i**3 - 470 + 241 + 229.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118421 (base 9) to base 13.\nAnswer: 2689c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 442 times 32.3\nAnswer: 14276.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 160*c**7\/21 - 2*c**6 - 1591*c**5\/60 + 10*c**4 - 3*c**3\/2 - 26*c**2 + 16. Factor z(h).\nAnswer: (h - 1)*(h + 1)*(40*h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/11 + 4*y\/11 - 30\/11 = 0. What is y?\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z. Suppose z = -4*o - 16 + 104. Suppose -4*v - o = -2, 4*v = 5*j - 595. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*n = -12*n - 209000. List the prime factors of n.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120471785?\nAnswer: 5, 7, 3442051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*a**3 - 2284*a**2 - 109060*a - 36100 = 0. What is a?\nAnswer: -95, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5486 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14265, 14263, 14261?\n\"Answer: -2*h + 14267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010010111 + -101?\nAnswer: 1010010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v + 0*v + (0*v + v - 2*v)*(0 - 1 + 2) + v + 38*v + 191*v)*(-2 - v**2 + 2).\nAnswer: -228*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1421\/8 - -4295\/24. Let 10\/3*j + 4\/3*j**2 - 2\/3*j**5 - 8\/3*j**3 - 8\/3*j**4 + m = 0. Calculate j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5977560 and 600?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -371, -3, -14 in descending order.\nAnswer: 2, -3, -14, -371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 + 36*y**2 + 39*y**2 + 34*y**2 - 121*y**2 + 5*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -a - 0. Let p = -3 - a. Let m be (-1 - -9)*p\/2. Solve 2*u = -u + m, 3*w - 5*u = -5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -7) + -2 + 0. Factor 2*t**2 - f*t**2 + t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccwlcclwwlccccblccc. Give prob of picking 2 c.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25704 = -646*y - 593*y - 826*y + 2371*y for y.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7254329, 14508700, 21763071, 29017442, 36271813?\n\"Answer: 7254371*g - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 9 + -6 + 5 + -9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**2 + 5289450*r = 0 for r.\nAnswer: -1057890, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - (-1 - (-3)\/3). Let l = 76 + 53. Let p = -75 + l. Calculate the greatest common divisor of p and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2696229311.\nAnswer: 2696229311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**2 + 8956218*f + 19040957?\nAnswer: -4*f + 8956218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560891512?\nAnswer: 2, 2803, 25013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n**2 + 22*n**2 - 2 - 24*n**2 + 2.\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 373 = 5*m + 2*a, 0 = m + 4*a + 81. Let p = 139 + m. Suppose -4*z + 14 = -p. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**3\/3 - 3*j**2\/2 + j - 2. Let q be k(4). Suppose 10*i - 144 = -34. Solve -q*p + i = -3*t, 3*t + 2*t = -p - 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 72*z + 1404. Let l be f(13). Are l and 2340 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -169 and 2.62.\nAnswer: -166.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68.4 - 68. Let s be (-21)\/(-56) - (-147)\/(-8). Let u be -1 + s\/(-22) - (-80)\/440. What is the nearest to u in r, -2\/3, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + -10011101010?\nAnswer: -10011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66061553*x + 1 - 1.\nAnswer: 66061553*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8776 is divided by 282.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8*a + 7*a - 30 = 0, 4*b - 114 = 2*a. Suppose -b*m = -13*m - 12334. What are the prime factors of m?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 2*u + 6 + 0)*(2*u**2 - 5*u**2 + 9*u**2) as x*u + f*u**3 + c*u**2 + w and give c.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - 0 - (-309 - -304).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-32)\/8*(-270)\/1040)?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.724 + -0.324. Put -0.3, -4.6, -0.5, t in decreasing order.\nAnswer: t, -0.3, -0.5, -4.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*v - 2. Let l(w) = -w**3 + 6*w**2 - 2*w - 11. Let n be l(v). Factor 3*s**3 - 3*s**2 + 0*s + 0 - 3\/4*s**n.\nAnswer: -3*s**2*(s - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -1\/6*f**3 + 3*f - 3\/2*f**2 + 1\/12*f**4 + 0. Calculate h(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -877.85+14.1\nAnswer: -863.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 523, 506, 505, 520, 551, 598?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/39, -3, 0, 27, 4\/29 in decreasing order.\nAnswer: 27, 4\/29, 0, -1\/39, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, -731888, -10\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a factor of 12017648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1469426 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by -58?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*1 + (-30)\/18 + 288\/(-54). Which is the smallest value? (a) l (b) -2\/51 (c) -459\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.86656752 and 0.3?\nAnswer: 0.559970256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 8*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -118410?\nAnswer: -118410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3640, -29768, -100692, -238810, -466520?\n\"Answer: -3733*s**3 + 3*s + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -29684, 2\/151 in ascending order.\nAnswer: -29684, 2\/151, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y + 0*y**2 - 4 + 3 + 0 + 3*y**2. Let z(n) = 45*n**2 - n + 1 - 49*n**2 - 4*n + 13*n. Determine -6*a(h) - 5*z(h).\nAnswer: 2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**3 - 9*w**4 + 3*w**4 + 2*w**3 - 57*w**2 - 322*w**2 + 5*w**3 wrt w.\nAnswer: -144*w + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.193\nAnswer: -0.0579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u = 56*u + 67 - 395 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 5*p**2 - 7*p - 5. Let a be f(-6). Let s be ((-5)\/15)\/(a + 1). What is the closest to s in -5, -3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -162721\/5 - -32545. Let q be (-3)\/(-3) + 5 + -2. Sort -11, q, n in increasing order.\nAnswer: -11, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28821931 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 405 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8677471.\nAnswer: 11, 19, 41519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*u + 0*u + 10 = 0, 0 = -2*d + 2*u - 10. Suppose -3*x + 5 - 2 = d. Which is the nearest to -1? (a) x (b) -1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 2*a - 15 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 4 = 5*u + 3*z, -4*u = 5*z + 3. Does 11 divide ((36 + 3)\/u)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 3:32 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/22993 + 1632663\/1839440. What is the common denominator of u and 49\/360?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 2. Determine f(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1, 4, -1\/79, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 12. Let q be i(6). Let d be 1\/(-2) - (-6)\/8. Let l = -8 + 4. Which is the nearest to q? (a) d (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 7. Suppose -q = 3*g - 0. What is the nearest to g in -2\/15, 0.2, 1\/6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 22 = -4*x + h, -10 = x + 5*h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3862733 + -2132733. What is b rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -10 + 10 + -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 36.234631906 and -0.7?\nAnswer: 36.934631906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -53ab + -cc91?\nAnswer: -1536c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulg when three letters picked without replacement from unltilngtunnunnnngul.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u. Let g(a) = -174*a**2 - 700*a + 8. Calculate g(h(o)).\nAnswer: -174*o**2 + 700*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/3 + 604*n + 55912\/3.\nAnswer: -4*(n - 482)*(n + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 4267.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 6:36 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1529753\/2 or 764878?\nAnswer: 764878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 425, 374, 169, -172, -631, -1190, -1831?\nAnswer: -2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 12:43 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 401786 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 + -0.06. Is j equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 2. Let z(k) = -6*k - 274. Determine t(z(h)).\nAnswer: 72*h**2 + 6576*h + 150150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-2*w + 2*w + 2*w) - 2*w - 2*w + 3*w + w - 3*w + 0*w - 2*w + 0 + 0 + 181 - 181 - 12*w.\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*((-54864)\/(-405))\/127.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49988, 50005, 50022, 50039?\n\"Answer: 17*h + 49971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 823 * 0.1\nAnswer: 82.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458085 = 5431*q - 11378 - 203981 for q.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 76. Let c = 514 - 538. Let b be m(c). Calculate the highest common divisor of 39 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 8708 - 8716 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32156717 (base 8) to base 14.\nAnswer: cac7cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1145 - 1147. Let h = -2.5 - -2. Sort k, 1, h in decreasing order.\nAnswer: 1, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2327 (b) -3 (c) 35\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 6:34 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j*k**2*t - 28*j*k**2 - 3*j*k*t - 4*j*k - 16*j*t + 406*k**2*t**2 - k*t - 2*t**2 wrt k.\nAnswer: -4*j*t - 56*j + 812*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 15. Let o(y) = -57*y - 9. Let b be o(-3). Let t = b - 150. What is the least common multiple of t and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511890 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000313845182 rounded to seven decimal places?\nAnswer: 0.0003138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**2 + 3*v + 3. Let l be q(3). Suppose 0 = 7*c - 5*c - l. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 449, 451, 453, 455?\n\"Answer: 2*q + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33142 - 1343?\nAnswer: -40040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, o: 1, r: 1}. What is prob of sequence rou?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2449473 and 267537?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491012656?\nAnswer: 2, 281, 109211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*u + 64 + 32 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 339*p - 2 = -344*p, 5*c + 3*p - 18 = 0. Solve 5 = a, c*b = -44*a + 39*a + 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 481883401 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v. Let z(y) = y - 6. Let x(j) = 1. Let g(b) = -3*x(b) + z(b). Calculate g(n(d)).\nAnswer: d - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -11*i. Let s = 6 + -9. Let b be a(s). Suppose 0 = 2*x + 2*x + 3*f - 51, 3*x = 3*f + b. Solve -n + x = 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -p + 6, -3*n + n - 77524*p - 12 = -77526*p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4\/3 + 13132*z**3\/3 + 13128*z**2 + 39380*z\/3 + 13126\/3 = 0.\nAnswer: -6563, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -443063675 rounded to the nearest one hundred thousand?\nAnswer: -443100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 + 27)*(-27)\/(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27916069645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*u + 0 + 0)*(-1 + 4 - 2)*(u**2 - 2*u**2 + 6*u**2) + u**3 + u**3 + 2*u**3 as w*u**2 + r + h*u + g*u**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 + 1019396*y**2\/3 + 86597690199*y + 173194021206.\nAnswer: (y + 2)*(y + 509697)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25510*s = 25488*s + 66 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 19*j + 15*j - 10)*(-6 + 3 + 1) as c*j + l and give c.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.926354 centimeters in millimeters?\nAnswer: 79.26354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10052 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*s + 261, 0 = 4*f + 3*s + 2*s - 341. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 1 - (5 + 6) - -13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-308)\/(-484)*(-37)\/(-9) - (-40)\/360?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 3*c - 145, 0 = 5*o - 3*c + 29 - 144. Suppose -29*y + 432 = -o*y. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 68 = 3*t. Suppose 0 = -2*m + t + 1. Put -0.4, m, 4 in descending order.\nAnswer: m, 4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.099768 * 0.04.\nAnswer: -0.00399072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1463254, -1463481, -1463712, -1463947?\nAnswer: -1464186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2515 - 2514.4. Let a = -5.3 - -0.3. Let c = -4.9 - a. What is the nearest to c in -0.2, -0.5, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 32. Let q(z) = 2*z - 2. Let s be q(3). Let u(p) = -6 - 2*p - s*p + p**2 + 1 + 6. Give u(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66255.\nAnswer: 3, 5, 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176\/((-10912)\/930) + (2\/(-1) - 1*-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*a**2 - 14 + 9 - 6*a**3 - 93 with respect to a.\nAnswer: -18*a**2 + 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 9:29 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18651672 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4044 divided by -115.\nAnswer: -4044\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 28*x = 10. Let w(t) = t**2 - 4*t - 2. Let p be w(4). Let c be (-2 - p)\/(2*-1). Solve k = -x*h - c*h + 5, 3*h + 3*k = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 873048 and 528?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9802 and 26964925.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {i: 5, n: 5}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*o = -4*x + 62*o + 6267, -5*x - 2*o = -7836. Is x a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*j - 31 = j, -j = -5*z - 175. Let b be 388808\/z + (-2)\/(-9). Round b to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/9 - 676*b**2\/9 - 226*b\/3.\nAnswer: 2*b*(b - 339)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**4\/4 + 7*i**3\/3 + 3*i**2 + 7*i - 1. Let x be (-12)\/54 + 104\/(-18). Calculate n(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 842 = 31*x - 894. Let m(n) = -n**2 - 13*n + 11. Let v be m(-11). Let h = v - 13. What is the remainder when x is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 90 - 32)*(m - 4*m + 0*m + (-1 + 2 + 0)*(-2*m - m + 4*m)).\nAnswer: 152*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 38, -64, -168, -274, -382?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 12:27 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 179772 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 283*u**2 - 2*u + 83?\nAnswer: 566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c - 2. What is v(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3436, -3423, -3410, -3397, -3384, -3371?\n\"Answer: 13*q - 3449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 62 = -77*x + 74*x, -21*x - 3*q + 74 = -16*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 2*b**2 - 23*b + 52. Let x be k(2). Solve x*f + 211 - 199 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2 - 36*z + 725. Calculate m(12).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**6\/50 - k**4\/20 + k - 22. Let o(u) be the first derivative of z(u). What is l in o(l) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l - 9 = 0. Suppose 2*b - 7*b + 20 = 0. Suppose -a + k = 2*k - 22, 0 = b*k - 4. What is the greatest common factor of a and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**6\/75 + u**5\/10 + 36*u**2 + 2*u. Solve q(s) = 0.\nAnswer: -15\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 16. Let w = p - 9. Suppose 5*y = -w - 35. Which is bigger: y or -9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -2\/9, 4, -5 in decreasing order.\nAnswer: 4, 4\/9, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.81424ml in litres?\nAnswer: 0.03081424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 128*j - 9. Let z(u) = 129*u - 6. Determine -3*y(i) + 4*z(i).\nAnswer: 132*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 16*n = 196. Suppose -4*i + k + 64 = 0, -4*i + 4*k + 31 = -21. What is the remainder when i is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-31)\/124 - 78\/8*-79. What is the tens digit of (30\/(-25) - 0)\/((-4)\/b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1043*x**2. Let r(z) = 29*z. Let k(q) = 19*q. Let w(m) = -6*k(m) + 4*r(m). Give w(h(c)).\nAnswer: 2086*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v + 32. Let a be s(7). Solve -a*u = 5*i - 23, 5*i + 3*u - 22 = -1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/13 greater than or equal to 397.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 38.8. What is the third biggest value in d, -1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.3 or -2\/5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(-369 + 369 - 814*k)*(3 - 1 - 5)*(-k**3 - 3*k**3 + 3*k**3) in the form q*k**4 + s*k**3 + b*k + i + j*k**2 and give q.\nAnswer: -4884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 48910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -443 at most as big as -443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -41*m**3 - 6*m**2 - 2*m + 1. Let o be b(-7). Suppose 0*k - 4612 = -k - 3*t, 3*k - 4*t - o = 0. Round k to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Suppose -3*p = x - 6 + 3, -5*x + p - 1 = 0. Let i = 16 + -21. Put x, i, o in descending order.\nAnswer: o, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278 divided by -6?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-14)\/(-3) - 2774\/(-6). Let w = u + -459. Calculate the lowest common multiple of 5 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 531 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*((-3)\/(-18) - (-62)\/186).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w - 678. Let j be x(-65). Let y(b) = 34*b**3 - b. Let s be y(1). Suppose 0 = -s*k + j*k - 792. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1394*s**2*y + s**2 + 2913899*s + 951*y**2 + 2 wrt y?\nAnswer: -1394*s**2 + 1902*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001077 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4822398121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -519055, -1038109, -1557163?\n\"Answer: -519054*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(5\/3)*d*d*d\/(d\/d**2) assuming d is positive.\nAnswer: d**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 933429.\nAnswer: 3, 7, 44449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30677629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -20, -6, 2 in descending order.\nAnswer: 5, 2, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2. Let o(s) = -2995787*s**2. Give j(o(g)).\nAnswer: 17949479498738*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 494*u**2. Let y(o) = o. What is y(m(t))?\nAnswer: 494*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13536956 is divided by 28379.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*x - 81*x + 4*o = -184, 0 = -x - 12*o - 497 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-81) + 12\/(-9)*(-2)\/16.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*a - 1. Let w be 4 - (-18)\/(0 - a). What is the tens digit of 837\/18 - (-3)\/w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 - (-64)\/24. Suppose 8 = 4*f, -f = 2*d - 0*f - 10. Suppose 12 = -d*w, 5*w - 2 = 3*x - 41. Solve -q*j = -5*j - x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 - 3*p - 3. Let h = -564 + 562. Calculate v(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13154 - 128*l**3 - 2*l + l + l + 13154 + 126*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*y + 1 = 2*a, -3*a - 53 = -y. Let j = 38 - a. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = s + 2*s. Let k(z) = z - 2. Let w be k(s). Let h = -1 + w. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - 52?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 47*v**2 + v. Let y be u(1). Suppose y = -i + 3*i + 4*w, 0 = -4*i + 3*w + 118. Calculate the remainder when i is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 5. Let z = -111.9 + 111.6. Sort 4, -4\/5, q, z in ascending order.\nAnswer: q, -4\/5, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36039?\nAnswer: 3, 41, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0.5, 170989, -3\/7, 3 in increasing order.\nAnswer: -3\/7, 2\/11, 0.5, 3, 170989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = r - 5*f, -799*r + 801*r - 167 = -53*f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, 4, 24, 5 in increasing order.\nAnswer: -9, -1, 4, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 353 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5c581 + 2?\nAnswer: 5c583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i**2 - 127*i**3 - 121*i**3 + 241*i**3 + 2*i**4 as c*i**2 + l*i**4 + t + x*i**3 + p*i and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9387 = 866*i + 26477 - 6419 + 30897 for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*s**5 - 3 + (3 + 6*s**3 - 3)*(2*s**2 + 2*s - 2*s).\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93382?\nAnswer: 2, 46691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -4*m**2 + 1. Let v(n) = 6*n**2 - 35*n - 100. Let a(d) = -7*d**2 + 42*d + 120. Let u(b) = 5*a(b) + 6*v(b). Give g(u(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2. Let f(g) = -16*g**2. Calculate -f(x) + 6*u(x).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1842358806 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + l**2 - 2*l)*(-l - l + 3*l) - 2*l**3 + 3*l**3 + 4*l**3 + (l - l + l)*(0*l**2 + 0*l**2 - l**2).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110101 - 101?\nAnswer: -1111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 11*n**6\/120 - 2*n**5\/15 + 5*n**4\/24 - 5*n**2. Let j(a) = 7*a**3 - 5*a**2 + 3*a. Let r(m) = -5*b(m) + 8*j(m). Factor r(z).\nAnswer: z*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 + -4785\nAnswer: -4784.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18186\/233 != 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04463752 to three dps.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/8, -2\/5, 1\/5 in descending order.\nAnswer: 1\/5, 1\/8, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 42*j + 5. Let w = -18 + 39. Let n be x(w). Suppose 2*d - 48 = -8. Solve -2*c + 9 = -p - 3, 0 = -n*c + d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 57*q**2 - 5*q + 6. Let i be m(3). Suppose f + 5*f - i = 0. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -11300?\nAnswer: 11300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5.877 or 1788?\nAnswer: 1788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -122.2 and 0.07.\nAnswer: -8.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 38, 13, -16?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 81779 divided by -2\nAnswer: -81779\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r - 5. Suppose 21 = 5*s + k, -s = 4*s - 5*k - 15. Is 2 a factor of g(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 414165*a**2 + 414173*a**2 - 5.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.5567 times -0.4?\nAnswer: 6.22268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**3 - 5*s**2 - 2*s - 3. Let k(d) = d**3 - d**2 - d - 1. Calculate -3*k(v) + n(v).\nAnswer: -6*v**3 - 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3932 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 24 - 16 = 0. Let g be (21 - 7 - 23)\/(-3). Solve -2*i = 8, g*d = -i - 0*i + h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -831333*c**2 + 171*c - 1038. Let r be l(6). What is r rounded to the nearest 1000000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(((-10)\/(-4))\/(1260\/21168))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -3*u - k, -3*u - 4*k = -291 + 36. Suppose 6*m - u = 35. Solve 2*v = -3*v - m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118019, 944003, 3185953, 7551851, 14749679?\nAnswer: 25487419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**4\/12 + 79*x**2\/2 - 4*x. Is k(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164370, 657503, 1479388, 2630025, 4109414, 5917555?\nAnswer: 8054448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 782 - -517. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-eight thirds of a century in months?\nAnswer: 23200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7)\/((-392)\/304))\/((-6)\/(-7)))\/((-2100)\/(-1800)).\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.5 + 4. Suppose -g - r - 4 = 0, -3*r - 8 = -g - r. Which is the nearest to -1? (a) s (b) 0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 195? (a) -5 (b) -4 (c) -2 (d) 28 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 485262 by 18.\nAnswer: 26959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 10. Let f(m) = -203*m - 1. Let b be f(1). Let x be 24\/b + 36\/17. Let r(l) = 2*l. Let v(o) = o**2 - 6*o + 1. Calculate u*r(n) + x*v(n).\nAnswer: 2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23240)\/24*3\/(-1). Let a = u - 1451. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 11:06 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 + -114. Suppose -129 = 2*l - 4*l + x, 0 = -s*x - 9. Calculate the highest common divisor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5374522.\nAnswer: 2, 2687261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - 67.1. Let s = x - -67.9852. Round s to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, 237, 851, 1711, 2817, 4169?\nAnswer: 5767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.9428905 to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 18025\nAnswer: -252350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77484?\nAnswer: 2, 3, 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-78 - 42009\/(-536))\/((-1)\/152)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 13. Suppose -4*n = 3*w - 161, -2*w - 2*w - 2*n + 208 = 0. Let b = w - 11. What is the greatest common divisor of h and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, f: 1, s: 5}. Give prob of picking 2 j.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.5 + 9.5. Let z = 0.2 + 0.3. Put -0.4, b, z in increasing order.\nAnswer: -0.4, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8564897.\nAnswer: 11, 31, 25117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -287683 (base 10) to base 9\nAnswer: -477557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - 5. Suppose -3*o = 3*o - 3*o. Let z(d) = 3*d + 0*d + 40 + o*d - 59 + 25. Give -4*j(u) - 3*z(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 + -1.3\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - 25 - (22 + 1)) + 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4. Let s be (-3)\/(3 + t - 4). Factor 0*v**2 + 0*v**2 - s*v**2 - 6*v**3.\nAnswer: -3*v**2*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 w, and 1 p when four letters picked without replacement from dwppppwdpdwppdwp?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6\/r**(-6)*(r**(2\/7))**(2\/9))\/(r*r**(3\/2)\/r*r\/r**4)**(-17) assuming r is positive.\nAnswer: r**(-1693\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1310469016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 4*y**2 + 28*y + 13. Is m(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*258\/2150*10\/9\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**2\/13 + 75708460*f\/13 - 716471364446450\/13 = 0.\nAnswer: 18927115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3\/2 + 1449*z**2\/2 + 637659*z\/2 + 76660155\/2 = 0.\nAnswer: -627, -195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30498 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3055, 6109, 9159, 12205, 15247, 18285?\n\"Answer: -2*t**2 + 3060*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -12, -51, -126, -249?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 39 = 43. Let v = u + 91. Suppose 4*k - 174 - v = 0. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.4 - 5. Let w = -121\/2 + 59. Let d = -219 + 218.8. What is the second smallest value in d, w, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3858?\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40*20\/(-3800))\/(-2)*((-9)\/3)\/(-33).\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dee when three letters picked without replacement from eeweidge.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2. Let n be t(-1). Suppose 5*u = 5, n*j + 2*u - 10 = -2*u. Suppose 8*g - j*g = 325. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22485433 at least -22485437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yba when three letters picked without replacement from {y: 4, a: 9, b: 3, x: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 2098917\nAnswer: 1\/2098917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 75116287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 - -187. Solve q - 8 = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21581 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -4*c**6 - 14*c**3 + 5. Find the third derivative of q(m) wrt m.\nAnswer: -1440*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 + 39 = -24*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-4 - -3) + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -148 (b) 1\/2 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -15*c - 25. What is the remainder when f(-12) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98065, -97889, -97713, -97537?\nAnswer: -97361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-25)\/75)\/(1\/(-66678)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 0)*57\/12. Let u = -8 - d. Is u greater than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*l + 2*l**2 - 3*l**2 + 18*l)*(-l**2 - 1 - 6*l + 6*l) as h*l + m*l**2 + u + t*l**3 + n*l**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -28. Let f(h) = -h**3 + l + 0 - 1 + 7*h**2 - 3 + 2*h. Let r be f(7). Calculate the greatest common divisor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 15 = 5*v - x, 4*v + x = 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v**2 + v**3 + 6*v - 30 + 77 - 41 + 0*v**3. Let m = -1524 + 1530. Determine c(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/8418 and 17\/1104.\nAnswer: 67344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 995*a + 15919. Calculate b(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-10\/9)\/h*h)\/h**12*(h**(-2\/11))**(2\/37) assuming h is positive.\nAnswer: h**(-48062\/3663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/12 + (-188)\/(-6). Suppose 4*j - t = -8. Suppose -w + j = -2*q, -q - 22 = -3*w + 3*q. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 101.9, -0.5, 90, -1\/5, 0.2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**2 - 2*s - 2. Let r(d) = d**2 + d + 1. Let j(m) = -i(m) - 2*r(m). Let n(q) be the first derivative of -13*q**2 - 6. What is n(j(u))?\nAnswer: -104*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631447380?\nAnswer: 2, 3, 5, 1169347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 12519072?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(15\/(-36)) + 2. Let h be (-4)\/(-14) + 150\/j. Suppose -4*y + h = -3*q, -2*q + y = 4*y - 21. Solve 19 = -c - 3*a, 4*a = -4*c + q*c - 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -4, 0 in descending order.\nAnswer: 0, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217427, 217429, 217431, 217433, 217435?\nAnswer: 217437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4*(264\/(-11))\/864\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/4 + 3399*b\/2 - 3851067\/4.\nAnswer: -3*(b - 1133)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 3. Let s be ((-156)\/9)\/(-13)*9\/4. Let h(c) be the first derivative of c**2\/2 + 4*c + 1. Determine s*j(z) - 2*h(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 440*t**2 + 3*t - 36. Let u(w) = -441*w**2 - 3*w + 24. Calculate 2*a(z) + 3*u(z).\nAnswer: -443*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -3*y, 0 = 247*o - 252*o - 2*y + 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-1) - -1 - (25 - (-9 + 37)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 - 13\/(-5). Let r(b) = -o*b + 2*b - 1 - 1 - 1. What are the prime factors of r(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(3 - 3 + 2)*(5 - 3 - 4)*(29*t + 17*t - t) + 1 - t - 1 + (3 - 3 + 2*t)*(-1 + 3 + 0) + 2 - 2 + t.\nAnswer: -176*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/8, 1, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t - 5 + 3 + 2.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 151341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccvvcscv. Give prob of sequence cc.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-6)*a*a**3)**45 assuming a is positive.\nAnswer: a**495","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3692 and -0.238?\nAnswer: 878.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5\/6, 3, 2\/9, -1458, -11?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q**(-37)\/q*q)*q*q\/q**(-32))**(-1\/23) assuming q is positive.\nAnswer: q**(-72\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + 49 = 19 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 4*u + 3*u - 62*u**2.\nAnswer: -62*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 9 = 2*o - 2*f, -f + 5 = 0. Solve o*k + 8 = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 12:46 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**4\/6 + 85*j**3\/3 + j**2 + 5*j - 199. Calculate i(-40).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -497 (b) 9\/8 (c) 1\/11 (d) -64 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837 a factor of 12261975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - 6*sqrt(95)*-1)\/sqrt(5).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275) + -2 + sqrt(275) - sqrt(275)) + -5 + (sqrt(275) + -2 - sqrt(275))*-1)*-6)**2.\nAnswer: -1800*sqrt(11) + 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 253 - 251. Let 2\/15 - 4\/15*t**3 - 2\/15*t**4 + 0*t**u + 4\/15*t = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 116820, 116854, 116894, 116946, 117016?\n\"Answer: q**3 - 3*q**2 + 36*q + 116786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by 21164.\nAnswer: 15\/5291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14960 = -3024*p + 2684*p for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 3*l + 1. Let v be j(4). Suppose -2*y + 18 = 3*n - v*n, -n = y - 11. Suppose 46 - y = 2*a. What is the highest common divisor of 90 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78088*j + 78845*j + 20439 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7670 and 191230.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/5))**(-1\/10)*(d**0*d)**(-6\/7) assuming d is positive.\nAnswer: d**(-349\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.9 and -1750.\nAnswer: 17325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (-2 + sqrt(1216) + 2 - (1 + sqrt(1539)*-2)))**2 + 4.\nAnswer: -64261 + 780*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -175.7 - 13.3. Let w = 130 + f. Let i = 59.000023 + w. Round i to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1587 - 1545. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myeuezuw. What is prob of picking 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 586245316.\nAnswer: 1758735948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 22?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 11*j. Let r(g) = -4*g**2 + 3. Let m(c) = 17*c**2 - 13. Let b(a) = -6*m(a) - 26*r(a). What is k(b(y))?\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 31*c**2 + 1478*c + 16173. Calculate j(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -11, 3 in descending order.\nAnswer: 3, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1506 at most as big as -1490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 5*p**2 + 9 - 4*p**2 + 8 as x + q*p + r*p**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, e: 4, s: 1, v: 2}. What is prob of picking 1 w and 2 e?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 2*j - 6, -b + j = 4*j - 5. Suppose b*v = -4*v + 1500000. Round v to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, m: 2}. What is prob of picking 2 n and 2 m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 8*n - 6. Let o = -19 - -27. Suppose 71 = o*a - 1. Let h be w(a). Solve 5*s - 15 = 0, -h*j - 4*s + 8 = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 825\/(-44) - (24 + 946\/(-22)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 + 127*l - 237. Let r be b(61). Solve 26*j + r = 9*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54610596 by -94482.\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512 = 4*a - 48. Suppose -32*s = -259 + 67. Suppose -9*d = -s*d - 60. What is the greatest common factor of a and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -34295*t - 6845. What is the units digit of l(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*k + 151. Let j = k + -19. Suppose -g + j = 7. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = q - 12, -3*j - 261*q - 262*q + 524*q = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 575052236 and -0.047.\nAnswer: 575052235.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7873447 (base 10) in base 14?\nAnswer: 108d491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 301, -1.\nAnswer: -1, 1\/3, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 163354 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from nlsjx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 3*q - 1. Suppose i - 6 = -3. What is the units digit of u(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-4 + sqrt(3564)*-1 - sqrt(3564) - sqrt(3564)) + 5)**2 + 3.\nAnswer: -108*sqrt(11) + 32083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -33*n**2. Let o(j) = -11*j + 9. Determine f(o(s)).\nAnswer: -3993*s**2 + 6534*s - 2673","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k - 1. Suppose -3*p - 1 = -4*p. Let i be d(p). Solve m - i*m + 6 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -21. Let y be 1*(-4 - -1 - -1). Let z be 2\/(-1) + (-3)\/y. Which is the closest to v? (a) z (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -93*g + 53. Let h(l) = -2*l**3 + 2*l**2 - 8*l + 16. Let s be h(2). Is z(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*k)*(105 - 6*k - 105) + 1 - 1 - 2*k**2 - 3*k**2 + 0*k**2 + 5*k**2.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k**2 - 117*k - 11. Let d be y(15). Suppose -d + 16 = -9*o. Solve 5*i + 15 = -o*t, 4*i - 3*t + t = -30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*b + 4*t + 20 = -137*b, 5 = -t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 3 + 5 + 5*h**5 + h + (4*h**4 - 3*h**4 + h**4)*(-3*h + h + 3*h).\nAnswer: 7*h**5 + h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8049 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from leeaaeeoeeroloeaql. Give prob of picking 1 r, 1 l, and 2 e.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3596 and 6107.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oko when three letters picked without replacement from kkooynykknynkyy.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.71 - 0.49. Let y = v + 2.45. Let k = 0.35 - y. What is the third smallest value in 2\/5, -2\/7, k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1\/7, 1, -186?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 35, -16.\nAnswer: -16, 5\/6, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 764 + 38164*x**2 - 38236*x**2 - 764.\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -8 + 36. Put x, 3, 1, -4 in descending order.\nAnswer: x, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3 - 274*c**2 + 8896*c + 76716226 wrt c?\nAnswer: 6*c**2 - 548*c + 8896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 5*j - 2. Calculate o(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -115583, -115586, -115591, -115598, -115607?\n\"Answer: -k**2 - 115582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2810*b**2*f**2 - b**2*f*s - 2*b**2*f + 11*b**2*s - 37*b**2 + 2325*b*f**2*s + 14*b*f + 4*f*s + 3*s wrt f.\nAnswer: 5620*b**2 + 4650*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/12859 and -31\/7?\nAnswer: 12859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**5\/60 + u**4\/6 + 28*u**3\/3 + u**2. Suppose -5*i = -3*x + 8 - 2, -6 = 2*i - 3*x. Is j(i) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-418)\/(-12))\/(10\/(-15)). Let p = 52 + v. Let z = 1198\/5 - 240. Which is the closest to 1\/5? (a) p (b) z (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1958580 divided by 6045\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 173?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/588*72\/(99\/(-11)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*f + f. Let v(i) = -175*i. Let m(l) = 11*l. Let y(k) = f*v(k) + 63*m(k). Let g(x) be the first derivative of x**2 + 45. What is g(y(u))?\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1735187.84 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 884194186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + -5 + -4 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80322019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9560 and 36?\nAnswer: 86040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(192))\/(sqrt(11) + 3*sqrt(176)).\nAnswer: sqrt(5)\/104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -420?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-72)*-27)\/((-10)\/40)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*y - 3497 = -340*y + 315 + 1248 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**7\/168 + l**6\/20 - l**5\/16 - l + 342. Let w(g) = 0. What is g?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/173, 16, -2201, 1 in decreasing order.\nAnswer: 16, 1, -2\/173, -2201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.45 - 1.55. What is the third biggest value in 1\/3, l, -1, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312239 is divided by 104069.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/3 + 71758*u + 3861907923 = 0. What is u?\nAnswer: -107637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.018 + -21.982. Let d = 22.25 + s. Let n = 0.249952 - d. Round n to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152)*2 + (-3*sqrt(2592) - sqrt(2592)) + 4)**2.\nAnswer: -768*sqrt(2) + 18448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*c - 66, 3 + 41 = -3*q + c. Let a = q - -22. Calculate the remainder when a is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/270 and -89\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o. Let n(q) = -39*q - 9. Let s(y) = 236*y + 51. Let b(m) = -34*n(m) - 6*s(m). Give k(b(r)).\nAnswer: -180*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + -1 + -11 + 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 - 0.82. Let k = -6.1 + 6.6. What is the third smallest value in t, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*w + 20*w**2 - 88*w to b*w + x + g*w**2 and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/8969, 4\/3, -21?\nAnswer: 1\/8969","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (608\/96 - 4\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*m + 384, -248 = -2*n + 3*m - 71. What is the greatest common divisor of n and 1116?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.25 and 63?\nAnswer: -15.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15294821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -4*i - 4*s, -8*i - 3*s + 16 = -12*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + (0 - 2) - -2. Solve 0 = -3*k + 4*m + 7 + b, 15 = 2*k - 5*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*u**2 + 37 - 6*u**2 + 156*u**2 - 4*u.\nAnswer: 298*u**2 - 4*u + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(56\/42)*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2640 and 528.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.049 - -0.049. Let d = -15 - p. Let j = d - 11.13. What is j rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + l + 1. Let u be b(2). Let t = 18 - u. What is the second derivative of 0*h + 5*h + t*h**5 - 3*h - 10*h**5 wrt h?\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -339495*w - 678990. What is k(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 + -17 - 47) + -2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 17*f - 7. Let o be s(5). Suppose -o = -3*l - 0*l. Let q = l - -24. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 + (-43 - 11) + -81?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.28673493 to 3 dps.\nAnswer: 0.287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757289459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60542206*r**5 + 14*r + 1607032?\nAnswer: -1210844120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -23*b. Let d be (-2)\/(-8) - 25\/20. Calculate the remainder when v(d) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + 52\/(-14) + 2\/(-7). Suppose -3*p - 3*h + 1 = -8*h, 0 = 3*p - f*h - 3. What is the least common multiple of 13 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -10 (c) 0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 532358751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 42\/5 of a centimeter?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llrxlxedeee. What is prob of sequence dx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 + 21*v - 81.\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 3001338.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2*a\/(((a\/a**(2\/13))\/a*a)\/a))\/(a**(3\/2))**(-39))**(4\/13) assuming a is positive.\nAnswer: a**(3206\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -15*k**5\/7 + 192*k**4\/7 - 216*k**3\/7 - 138*k**2 + 807*k\/7 + 198\/7 = 0.\nAnswer: -2, -1\/5, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -400234 - 4?\nAnswer: -400243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 4, 9 in descending order.\nAnswer: 9, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x**2 + 2*x**3 - 3*x**3 - 7*x + 9*x)*(-2*x + 0 + 0) to the form u*x + p*x**2 + r*x**4 + b*x**3 + o and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 244 = -2*f, -p + 4*p - 247 = f. Calculate the remainder when p is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18067 - -18073. Put -570, x, 0 in descending order.\nAnswer: x, 0, -570","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 11, 16, 21, 26?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2500 and 273380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + (-4 + 1 - -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -2, -2\/11, -27\/2, 175, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*n - 180 = 0, o = 5*n + 31 + 5. Suppose -3*z = -0*z - o. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35838242.45 to the nearest 1000.\nAnswer: -35838000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 775953 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 5*k + 4*k)*(0*k**4 - 2*k**2 + 3*k**4 + k**4) - 46*k - 3*k**5 + 46*k.\nAnswer: 37*k**5 - 20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 2)*(-244*x**2 + 5*x**2 + x**2).\nAnswer: 714*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 2*q + 4. Let d be a(0). Find the common denominator of -101\/60 and (30\/9)\/(d\/11).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -5*b - 6 + 4, 3*m + 7 = 2*b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (-7 + -108) - 8 - 5\/15. Which is the second smallest value? (a) 5 (b) -0.4 (c) o (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**4\/(u\/u**(-8)) assuming u is positive.\nAnswer: u**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3411 + -3407. Solve 6 = g*a - 2*k + k, a + 3 = -2*k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -8*j + 2*j**5 + 1\/3*j**6 - 2\/3*j**3 + 7\/2*j**4 - 12 - 8*j**2. What is t in f(t) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 5*b - 3. Let h be f(7). Let c = h + -7. Factor 0 + 2*y**4 + 1 - 5 + 6 - c*y**2.\nAnswer: 2*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60058797.\nAnswer: 3, 29, 199, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 202181382 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 0*i**2 + 0 + 0*i**3 - 4*i - 1\/6*i**4. Let s(k) be the third derivative of k**4\/12 - 2*k**2. What is d(s(o))?\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -8 (b) -1 (c) 10 (d) -3\/86 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*r + 23*r - 366. Let y = r + -127. Let h(i) = 7*i**3 - 7*i**2 - 6*i - 5. Let o(p) = p**3 - p**2 - p - 1. What is y*o(a) + h(a)?\nAnswer: 2*a**3 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 205 - -3?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111*y - 44*y + 75*y to n + o*y and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33dd (base 16) to base 11.\nAnswer: 9a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7673 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1*2\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.405 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*h**5*k - 388*h**4*k + h**2 - 2*h - 1625204*k wrt h?\nAnswer: 2040*h**3*k - 4656*h**2*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/7*(-1925)\/(-55).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 78695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 3\/43, -0.2, -6?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**29*c*c)\/c*c**(-15)*c**29*c**(-31))**(37\/5) assuming c is positive.\nAnswer: c**(-1628\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -1 + (25 + -28 - (2 - 13))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u - 22. Let p(o) = -10*o - 44. Let j(a) = 13*h(a) - 6*p(a). What is the first derivative of j(r) wrt r?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -0.046?\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806692.\nAnswer: 2, 201673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1130777 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 21.5235.\nAnswer: -21.1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -229605, -229538, -229361, -229020, -228461?\n\"Answer: 9*a**3 + a**2 + a - 229616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 10:20 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-41)\/(-1) - -1 - 2. Let n be 22\/3 - 9\/27. Suppose n*a = 2*a, 4*a - h = -2*l. Calculate the lowest common multiple of l and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143956 and 130013?\nAnswer: 256385636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.003.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/3907 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 464?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 + 7*k**3 + 2*k**3 - 3*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 1202\nAnswer: -3\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -78, -105, -122, -123, -102, -53, 30, 153?\n\"Answer: s**3 - s**2 - 31*s - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 1. Let w be c(-9). Let r(x) = x**3 - 6*x**2 - 16*x + 6. Let p be r(w). Solve 0 = -4*n - p*j + 4*j, 0 = -4*n - j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/8)\/(-7)*2. Let z(b) = -13*b + 3. Let a be z(l). What is the units digit of 193\/7 - a\/28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*a + 14, -2*q + 5*a + 34 = -12. Let r(t) = 3*t - 38. Calculate r(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2, -1, -3, 0 in decreasing order.\nAnswer: 14, 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 223542?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 509323\/24 + -21220. Let z = -22091 - -596533\/27. Calculate the common denominator of y and z.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**2 - 14*a + 5. Let i(g) = -11*g**2 + 21*g - 7. Let s(l) = -5*i(l) - 8*n(l). Let v(j) = -373*j - 367. Let d be v(-1). Calculate s(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 + 44*j - 7. Is d(14) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.39 + -4.89. What is the closest to p in 0.2, 4, 3, -1.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 0\/1 + -4. Let z be 4\/2 - (-2 - i). Suppose -z*y - y = -300. Is 22 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 4:06 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -757*c + 720*c + 185 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3300, -6602, -9904, -13206?\n\"Answer: -3302*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 385 - 385 - 52*t + (-1 - 6 + 2)*(-5*t + t + 2*t) + 3*t - 3*t + 2*t.\nAnswer: -40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8 - 1)*(1 + 1 - 4)*(-2 + 4 + 0)*((7 + 7 - 6)*(3 - 3 - 2*j) + 3*j + 0*j + 3*j).\nAnswer: -400*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-18) + (-44)\/((-22968)\/7917)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s\/((s\/s**(-19))\/s*s))\/s)\/s))\/((s*s*s\/s**12*s)\/s) assuming s is positive.\nAnswer: s**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14700, -14774, -14848, -14922?\n\"Answer: -74*z - 14626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f**3*k**2 - 7*f**3 + 2*f**2*k**2 - f*k**2 - 58*k**2 wrt f?\nAnswer: -24*f*k**2 - 42*f + 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39 + -40 - (-1 - (1 - 0)). Suppose 5*u - 3*d + 21 = 0, -d + 2*d - 2 = 0. Let j be 4 + u - (-8)\/b. What is the greatest common divisor of 81 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 638*h**2 - 6*h**3 + 8*h**3 + 1565*h**2 - h**3.\nAnswer: h**3 + 2203*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.33 - -0.53. Let v be 9\/15 + 3912\/(-20). Let i be (2 + -5)*(-5)\/v. Which is the nearest to i? (a) p (b) 1\/10 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4489*l + 10*l**3 - 4489*l - 48*l**3.\nAnswer: -38*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.5 + -19. Let p = h + 4.5. Let g = 213 + -214. Which is the closest to g? (a) 0 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide -172*(69\/(-12) - 8\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**4 - 193*k**3 - 194*k**2 = 0.\nAnswer: -1, 0, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.021 - -0.021. Let h = -11 - p. Let j = 143 + -142.7. Which is the biggest value? (a) -2 (b) h (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 350 = -22*d. Let z be ((-80)\/d)\/((-2)\/7). Let w = -11 + 21. Solve z*g + g = -w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 10*k + 10*k + 1 + 4*k - 42*k.\nAnswer: -17*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < 106\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kttpttvnykktp. Give prob of sequence vpk.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**3 + f**2 + 895*f + 7350. What is j(-8)?\nAnswer: -1282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 13*i = -14*i - 4, -3*q = 2*i - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2219532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + -4 - (-128)\/((-121856)\/(-42))\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(sqrt(1008) + sqrt(1008)*-2 + sqrt(1008) + 4))**2 + 6*(0 + sqrt(1008)) + sqrt(1008) + (sqrt(1008) - (-5*(sqrt(1008) + -2) + sqrt(1008))).\nAnswer: 278 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m - 5*k + 17760 = 0, m - 3544 = k. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46986 - 425440\/9. Suppose 19*f = 57*f - 10754. Let q = b + f. Do q and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 490 and 171255?\nAnswer: 342510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 607269, 4, 1\/6 in descending order.\nAnswer: 607269, 4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 0.1 (c) 2 (d) -2\/7 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 0)*4\/(-4). Let k(s) = -1 - 4*s - 21*s**3 + 4 + 20*s**3 + 5*s**2 - b. Let c(h) = -h**2 + 4*h + 1. Let g be c(3). Give k(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2680 and -31\/1608?\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 430 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 1. Let w(x) = -3*x**2 - 3. Let z(g) = 3*g**3 - 5*g**3 + 6*g**3 - 1 - 2*g - g**2 + 4*g**3. Let s be z(-1). Determine s*k(q) + 3*w(q).\nAnswer: -q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-1 - 10) + -165 + 167 + 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -10232?\nAnswer: -10241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192061 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {r: 2, o: 1, i: 1, a: 2, d: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 0*j + 2*j - j. Let l be 7\/5 - (-24)\/(-60). Let g be -1 - 0 - 0\/5. Let v(x) = -x - 1. Determine g*o(q) + l*v(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 10:12 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 11 = -q, -2*b - 144*q + 141*q = 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + t - 6 = 0, 5*t = 5*k + 1 - 31. Solve -5*l = -3 - k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43403 (base 5) to base 12.\nAnswer: 1882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 + 15*w**2 + w - 333. Give r(-9).\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 0. Let w be (3 - -4) + s - -1. Which is bigger: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + (-31 - -7) + 32.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(44)*5*-4.\nAnswer: -40*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44.017 + 0.017. Let w = -48 - b. Suppose -2*z + 6 = 2*y, -4*z = -0*z + 3*y - 10. What is the smallest value in 8, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 406352000 to the nearest one million.\nAnswer: 406000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 822 + (18\/(-7) - (-3)\/(-7)). Let s be n\/18*2\/4. Let f = -23 + s. What is the third biggest value in -0.03, -0.3, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/5 - (-8)\/20. Suppose 3*u + 32*m = 33*m + 13, -m = 1. Solve -h - w = -x, 20 = -3*x + 6*x - u*h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0 - 8 = 0. Suppose -m*g + 6*g = 64. Let h be (8\/g)\/(2*(-1)\/(-40)). Solve 5*n = 3*n + h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven quarters of a tonne?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 718 = 168. Calculate the highest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -1001?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 15*b**2 - 11. Let l(p) = 7*p**2 - 5 + 16*p - 16*p. Calculate -13*l(v) + 6*r(v).\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(72))*-6*-2.\nAnswer: 36 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 5*v - 45, 2*v = 6*v + 49 - 13 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7369967 and 627?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 1558332092909.\nAnswer: 1558332092904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331 + 4739 = 169*j for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -635344?\nAnswer: -635337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/7 + 278*w**3\/7 - 36*w**2 - 1584*w\/7 = 0. Calculate w.\nAnswer: -12, -2, 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10360 - 32?\nAnswer: -10392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**2*u**3 - 25701200*o**2 - 8925*o*u - 41*o - 33*u**3 + 2*u**2 wrt o.\nAnswer: -6*u**3 - 51402400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2286*s + 6951 = 2293*s. Let j be ((-9)\/(-6) + 0)*2. Suppose -3*q = -j*l + s, 3*q = -q. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w + 379 + 494 = 3685. Solve w = -19*c - 18*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/3 - 229*b**3\/3 + 34528*b**2\/3 + 8090368*b\/3.\nAnswer: -b*(b - 187)*(b + 208)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.7707kg in grams?\nAnswer: 61770.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 423 + 424 = -2*z + 843, 10*v + 4*z = -62 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*y - 4*u, -3*u - 4 + 6 = y. Let c(t) = 3*t + 6. Calculate c(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 + 1583 + 1957 - 2*s.\nAnswer: -2*s + 3373","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5437 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59326 is divided by 309?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 s when three letters picked without replacement from jfjfffjfosssfs?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = k + 115 - 41, 109 = 7*k + 5*a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -2\/13, 5\/6, -3\/28, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a gram in milligrams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 11*q + 65. Let l be z(-4). Find the third derivative of 76*c**2 + 44*c**l - 11 - 3 + 14 wrt c.\nAnswer: 2640*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 14, o: 4}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 79 = 2*v, -2*r - 5*v + 17 = -3. Suppose -f + r = -20. Let s = 21 - 12. What is the remainder when f is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/68 and (2 + (-99)\/63)*(-30)\/(-68)?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6240860551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 9*s**2 + 15*s + 34. Let c be t(-10). Which is smaller: 1\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3235 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-3)*(-63)\/6. Suppose -2*g = -9 - z. Solve 0 = -0*n - 5*n - g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + m - m)*((3*m**3 - 3*m**3 - m**3)*(-2 + 3 + 0) + 3*m**3 - 4*m**3 + 3*m**3) + (m**2 + 2*m**2 - 4*m**2)*(33*m**2 - 38*m**2 - 47*m**2).\nAnswer: 53*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-6)*0 - -4. Suppose l*k - 40 = -5*m, 65 = 3*k - 0*m - 5*m. What is the lowest common multiple of 11 and k?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/27 and 17\/11?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -20*g**3 - 100*g**2 + 575*g + 2880. Calculate z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -303?\nAnswer: -909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 150*w**2 - 426*w - 74. Calculate x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1198 - -3849. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 89*a - 4. Let d(m) = -2*m - 1. Calculate -4*d(r) + p(r).\nAnswer: 97*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*g*j**3 + 84*g wrt j.\nAnswer: 42*g*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137117219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*n + 16366, -n + 8165 = -12*s + 8*s. List the prime factors of n.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from hhhhhhhhhaahhhahhha?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02 and 3468671910.6.\nAnswer: 3468671910.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-53)\/(-106)*(12 + -2) - 127).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*g - 28 = 0, 38*d - 17 = 35*d + g. Let l(v) = -18*v**3 - 3*v**2 + 3*v + 3. Let b(f) = 18*f**3 + 2*f**2 - 2*f - 2. Give d*b(a) + 4*l(a).\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 = -2*p - 2, -n - 5*p - 1 = 0. Let f(b) = -b**2 + 2*b - 2. Determine f(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, 368, 1343, 2708?\nAnswer: 4463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -5\/2 (c) -5 (d) 24 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733184 is divided by 146565.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 349 + -5978\/17. Suppose -3*n = -4*n + 6. Find the common denominator of t and (10\/11)\/((-3)\/n).\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 284024615 and 21130.\nAnswer: 284045745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-8))\/m**(-3)*(m**1*m)**(-2\/7) assuming m is positive.\nAnswer: m**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/4 and 51\/401516.\nAnswer: 401516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - 91*y**2 - 1206*y + 50041. Give k(47).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 g, and 1 i when three letters picked without replacement from {l: 5, x: 5, g: 8, i: 1, p: 1}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {u: 1, v: 2, o: 2, f: 4, i: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 116337 - 146?\nAnswer: 116171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-25)\/(t*(t\/(t\/t**(1\/7)))\/t))**(-17\/2) assuming t is positive.\nAnswer: t**(1496\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 41. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 + b - b + 2*b**3 + 0 + 0 + (-2*b + b + 3*b)*(2*b**2 - 2 + 2) + 3*b**3 - 4*b**3 + 6*b**3 - b**3 + b**3 - 2*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 7794.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2 - 6 = 0. Solve 0*y = -n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 22 = 4*v, 5*c + v = 4*c - 4. Is -2\/15 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.2 (b) 190 (c) 0.54 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + (-2*sqrt(1331) + 1 - 5*-1*sqrt(1331)) + 4))**2 + -5.\nAnswer: 16632*sqrt(11) + 433003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*sqrt(3)*1 + 4.\nAnswer: 4 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 1399833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.82 - -0.08. Let h = 0.35 - w. Let m = 0.65 + h. Sort m, 1\/3, -5 in ascending order.\nAnswer: -5, m, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + (8 + -6)*-2. Solve 9 = i + 2*f, z*f + 2 - 9 = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -153*b + 470 + 157*b - 146*b + 155*b to q + i*b and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-15) + (-6)\/(-8). Is x less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/161, -0.3, -3, -0.4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y - 3 + 163. Let l(o) = 5*o**2 + 7*o + 2. Let h be l(10). Suppose -y*j = -7*j - h. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**1*z))**(-1\/66)*(z**(-1\/2)\/z*z)\/z**(-4) assuming z is positive.\nAnswer: z**(233\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 2*y**2 + 37*y - 72. Let i be x(3). Let t(h) be the first derivative of 22\/3*h**i + 0*h + 0*h**2 - 19. Let v(k) = 2*k**2. What is t(v(p))?\nAnswer: 88*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20480 divided by 12204.\nAnswer: -5120\/3051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*14\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 321070202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/45 and 9\/235.\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + b + 18. Let p be k(0). Suppose f = -4 + p. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47222?\nAnswer: 2, 7, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 901, -2.4, 0.07?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 10)*(-8)\/12. Suppose a = -y*q + 2*a + 17, -6 = -3*q + 3*a. Suppose 0 = -2*w + q*t + 31, 2*w + 0 = -t + 37. Which is smaller: w or 19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*g - 151*g + 128 = 0. Suppose -26 - 38 = -2*w. Calculate the greatest common factor of g and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(98) + 1 + -2.\nAnswer: -1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 963 and 3959?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x - 3. Let s(b) = -23*b**2 - 6*b - 4. Let z be s(-4). What is the remainder when 8\/28 + z\/(-7) is divided by w(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1))\/((-184)\/(-644))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-28))\/(((-18)\/2)\/63)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 7:06 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 4 = 15*i, 3*g = 5*i + 40. Calculate the lowest common multiple of g and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7\/3 (b) 2\/13 (c) 2\/5 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 6*j + 8. Let q be z(6). Calculate the common denominator of (58\/q - -3)\/3 and -91\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-1\/2))**(-39)\/(f**(-2\/9))**(8\/5) assuming f is positive.\nAnswer: f**(-5233\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 11*f + 10. Let p be 1*-30*((-9)\/(-9))\/3. Let u be i(p). Solve 5*y + 5*b = -0*y - 15, -4*b = u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-3)\/(-6)*-2. Let c be ((-18)\/(-21))\/j*7. Let o(z) = -2*z + 0 - 1 + 3*z - 7. What is o(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 49 = 2*k, -17*n + 19*n = -10. Calculate the remainder when k is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 858407, 858261, 858117, 857975, 857835, 857697?\n\"Answer: p**2 - 149*p + 858555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9*(3 + 6)\/135. Which is smaller: 152 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108710*f**3*r**3 + 2*f**3*r + 312*f**3 + f**2*r**2 - 3*r**2 wrt r?\nAnswer: -652260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1165228783 - 1165228783 + 5228*r.\nAnswer: 5228*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2228666966 to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 38 + 70 - 10*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**1\/s)\/s))**(-8\/17)*(s\/s**(1\/4))**(-1\/5))\/((s**1)**2\/((s**(-5)*s)\/((s*s**(4\/5)*s)\/s))) assuming s is positive.\nAnswer: s**(-3023\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from orffrfro.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(5\/12)*z**10)\/(z**(5\/3)*z)**(-15) assuming z is positive.\nAnswer: z**(617\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**4\/12 + 7*w**3\/6 - w**2 - 31*w. Let k be f(5). Let r be 0*((-15)\/10 + 1). Solve -4 - 4 = -3*p + l, r = -4*l - k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(187) + 2*sqrt(187))*4)\/(sqrt(11) + sqrt(1100)*1 + sqrt(11))*1 + 3.\nAnswer: 3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60 - 2) + 2 + 1. Let f be 0 + d*(0 - 1). Suppose 5*s - 46 = f. Solve 0*w - 5*g = -2*w + s, -2*w - g + 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0 + 0)*(14 + 582 - 36) - 6*b + 3*b + 5*b - 4*b + 0*b + 5*b - 4*b + 2*b + 3*b - 3*b + 2*b - b + (-1 + 2 + 0)*(-4*b - 3*b + 6*b) + 0*b - 2*b + 0*b.\nAnswer: -1121*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*b + 283, 0*b - 4*b = -2*x + 118. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 741 = -33. Let l = h + -164. Suppose d = -w + 9, w + 6 - 19 = -5*d. What is the highest common factor of l and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.382787 to three dps.\nAnswer: 4.383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3836)\/(-819) + -4 + (4 - 58\/13). Factor -b*z**2 + 2\/9 + 2\/9*z**3 - 2\/9*z.\nAnswer: 2*(z - 1)**2*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 13*n**2 - 2. Calculate m(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156968973.\nAnswer: 3, 7, 17, 146563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, 2\/17, 1, 18, 0.07, 1.5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -22. Let t be (-4)\/4 - 6\/2. Let w = 8 + t. Solve m = p - 3*a, p = 5*p - 4*a + w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, o: 4}. What is prob of sequence oo?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 1. Let o = -54532 + 54530. Let g(q) = -q - 4. Let s(y) = -2. Let b(x) = -6*g(x) + 11*s(x). Give o*b(n) - 4*v(n).\nAnswer: -8*n","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 {c: 10, g: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 1231.\nAnswer: 1230.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(540) - sqrt(60)) - sqrt(60))\/(-1*sqrt(768) - sqrt(768)) - ((-4 + sqrt(5) + 0)**2 + (sqrt(500) - (sqrt(500) + 0))).\nAnswer: -21 + 117*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = z - 21, -2*z + 1122 - 1104 = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.23 + -34.3. What is k rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 610*c**3\/3 + 1025*c**2 - 3912*c. Differentiate n(g) wrt g.\nAnswer: 1220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9584904 divided by -59?\nAnswer: -162456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbabfaaaab?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.068 + -1.872. Let z = p + -0.06. Let l = -49\/135 - 1\/27. What is the nearest to 1 in z, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -w - 10, -4*w - 10 = -0*w + 2*b. Let g = w + 5. Suppose -3 + g = -a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 51 - 151*h)*((3 + 0 - 2)*(-3*h + 0*h + 2*h) - 14 - h + 14).\nAnswer: 302*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 - 108. Let r = t - -104. Calculate the common denominator of 3\/r*222\/(-8) and -151\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1670677096 to the nearest integer?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) + 2026\/10. Let r = -376 + 405. Calculate the greatest common divisor of r and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 + 59. Let b be 5\/(-4 - -9)*(1 + z). Suppose 8*k - 775 = 3*k + b*d, -5*d = -4*k + 620. Calculate the remainder when k is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 140778?\nAnswer: 140778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.53 - 0.13. Let i = -4.4 + u. Let x = 5 - 1. Sort x, i, -2\/3 in descending order.\nAnswer: x, -2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -407 - -409. Suppose -l = 5, 3*l - 939 = -u*z + 6*l. List the prime factors of z.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0, 6 in decreasing order.\nAnswer: 6, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17922 and 203638.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r**5 - 16*r**4 - 20*r**3 + 8*r**2 = 0. What is r?\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 5*z**2 - 5*z + 3. Let f be 2\/9 - 76\/18. Give m(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 + 40*q**2 - 54 - 50.\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -364044 - -248194. What is n rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8985140 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 26. Determine q(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**5 - 552*j**4 + 9120*j**3 + 47178*j**2 - 24003*j - 204930 = 0?\nAnswer: -3, 2, 23, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2 + 2160*z + 1452962 = 0.\nAnswer: -469, 1549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*s, -s - 2 = b - 2*s. Is b < -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*m - 39*m + 1 + 17*m.\nAnswer: -20*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 5*n - 2*n)*(2*n - 3*n + 2*n) - n**2 - 4*n + 4*n + 14*n**2 + 19*n**2 - 13*n**2.\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 5*t**4\/24 + t**2\/2 + 3*t. Let u(w) be the first derivative of o(w). What is the least common multiple of u(4) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -761876.17 rounded to the nearest 10000?\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/3 - 580624*m**3 - 2322504*m**2 - 6967520*m\/3.\nAnswer: 2*m*(m - 870940)*(m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*w + 3223, -3*w + 3258 = 678*q - 675*q. What is the highest common divisor of 1175 and q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6049709979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*h - 15 = x + 357*h, h = -4*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**5 + 32*g**4 + 118*g**2 wrt g?\nAnswer: -120*g**2 + 768*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64253 = -53*h + 1488242 - 36271. What is the ten thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68951890 is divided by 6895188.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1288 divide 3892563750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 (base 10) in base 5?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 19 = 3*c, 3*c + 3*s - 27 = -2*c. Let l(f) = 6*f - 9. Let t be l(c). Suppose -2*r = r - t. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 95*o**2 - 2086*o + 4560.\nAnswer: -(o - 2)*(o + 40)*(o + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55, -230, -521, -928, -1451?\n\"Answer: -58*p**2 - p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -63*y**2 - 7*y - 83. Let r(x) = -21*x**2 - 2*x - 28. Let g(w) = -2*j(w) + 7*r(w). Differentiate g(o) wrt o.\nAnswer: -42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 - 0.28. Let s = -5 - -4.6. Let k = s - x. What is the third biggest value in 0.5, k, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415 (base 7) in base 15?\nAnswer: 26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8020 - -12123. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (10 + -3 - (-64 + 61))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 = -5. Let d(k) = -14 + 12 + 15*k + y. Let n(u) = 2 + 3*u - 2. Give d(n(c)).\nAnswer: 45*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -22, 8, 58, 134, 242?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1744 and 16?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -8, -3, 16, -2, 5, 4.\nAnswer: -9, -8, -3, -2, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 8*c + 2. Let t(v) = v**2 + 8*v - 3. Let k(q) = 7*h(q) + 6*t(q). Let o = 381 + -386. Give k(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 84448?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4159 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: Suppose 0 = 7*i - 410 - 157. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 13*g + 9. Calculate i(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*p - 429*p + 4 = 4*u, -3*u = p - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 120*l - 1016. Let w be -3 + (-57)\/(-3) - -2. Suppose -2*a = -w + 8. Solve 3*i + 2*z = 10 - 4, -l = -a*i + 5*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762 is divided by 99.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 275, 4\/5, 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7511, -14956, -22339, -29660?\nAnswer: -36919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 44*r**2 - 522*r + 2639. Is a(5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/9, 3\/2, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -46*i - 18. Let x(z) = 23*z + 9. Let r(l) = 3*m(l) + 7*x(l). What is the tens digit of r(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2. Suppose 5*c + 6 - 31 = 0. Let k = -2 + c. Let b(d) = k - 3 - 2*d. Calculate b(q(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 288271027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -3 (c) 2\/5 (d) 5 (e) -5.54 (f) -0.19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 31. Suppose -2*j + 15*j = 1079. Let k = j - 81. Let i(v) be the first derivative of 6*v + 18. Determine k*x(g) - 11*i(g).\nAnswer: 2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 0.011, -0.2, 4\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312725 and 1904?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 + 8 + 5*b**2 - 2.\nAnswer: 5*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -22. Let j = 680 - 668. Is d\/66 + 4766\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 8:21 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -236854389805?\nAnswer: 236854389801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 - -76. Is (3*a\/9)\/((-2)\/3786) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.1, 0.2, 0.03, 2552 in decreasing order.\nAnswer: 2552, 0.2, 0.03, -0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 3*c**2 + c - 1. Let s be 7 + (-3)\/1 - 2. Let u be y(s). Find the third derivative of 3*m**5 - 5*m**5 + 4*m**2 - u*m**2 + 3*m**2 wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 40*k**2 + 81*k + 155. What is p(42)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 7*y = -15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2154933 is divided by 1778?\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1390.4994 months to centuries.\nAnswer: 1.1587495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d - 13*d**2 - 9*d + 6 + 4. Let p(n) = -4*n**2 - 2*n + 3. Let w = 4072 + -4079. What is w*p(t) + 2*q(t)?\nAnswer: 2*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 202450 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12)\/(7\/(-210))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15222230?\nAnswer: 2, 5, 19, 113, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 107535, 214995, 322301, 429375, 536139, 642515, 748425?\n\"Answer: -13*g**3 + g**2 + 107548*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -23\/15005974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -307 + 1561*x - 305 + 227 + 385 as b + h*x and give h.\nAnswer: 1561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29913*k - 29913*k + 95*k**5 + (3*k**5 + 2*k**5 - 3*k**5)*(-4 + 3 - 4 + 1 - 4 + 4 + (1 + 4 - 4)*(-3 + 4 + 1)).\nAnswer: 91*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 27304 + 23396 = 0. What is v rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7957760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -6.85208629.\nAnswer: -7.25208629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1584658 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1133 + -30788378.\nAnswer: -30789511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 208*h**5 - 90*h**2.\nAnswer: 12480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 1:45 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/2))**(-1\/2)\/(x**10\/x**(-2\/15)) assuming x is positive.\nAnswer: x**(-533\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2 = -4*w - 5, -4*w = -2*k - 18. Put -1, w, -4 in descending order.\nAnswer: w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(448) + 1 + sqrt(448))*3 + sqrt(448) + 4 + 2)**2 + -3.\nAnswer: 1008*sqrt(7) + 22030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*g**3 + 499*g**3 - 6 + 6.\nAnswer: 384*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2761*-3.388.\nAnswer: -9354.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 48*d**2 + 2*d - 1862. Let a(n) = -2*n. Give a(z(o)).\nAnswer: -96*o**2 - 4*o + 3724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/(-50))\/((-2)\/(-10)). Suppose -x = -2, -q*z + 3*x = -4*z + 18. Let g = 0 + z. What is the smallest common multiple of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 1:00 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1028 - -0.2028. What is the closest to t in 96, -1, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - (-3 - 367)\/5.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374987.\nAnswer: 374987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q - 11. What is p(16)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*b - 23495, 0 = 6*r + 2*b - 21321 - 6881. Does 69 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -171\/5? (a) -1 (b) -49 (c) -4 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 17. What is the smallest value in -2\/15, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -707 + 2?\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 962 is divided by 74.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*w - 0*w - d, -3*d - 11 = -w. Let o(m) = 1 - 7*m - 2 - 8*m. Is o(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 791, 903, 1225, 1865, 2931, 4531, 6773?\nAnswer: 9765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11752795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/27 - 35\/54. Let g = -7989\/2 - -3996. What is the nearest to -0.1 in r, g, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 4591 - 4429 = 0 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 0.5 (c) 5\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 197700*a**3*c**3 + 15277*a**3*c**2 - a**3 - 14*a**2*c**3 + 3*a**2*c**2 + 30*a**2 + a*c**3 + c**2 wrt c?\nAnswer: 1186200*a**3 - 84*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 756 = -5*o. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 133789 and 7077.\nAnswer: 2809569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.02 + -0.7. Let w = n + 0.08. Let g = 0.2 + -0.7. What is the smallest value in w, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613606 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 - (-44 - -16) - -13.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/7 + 156*j**3\/7 + 3042*j**2\/7 + 26364*j\/7 + 85683\/7.\nAnswer: 3*(j + 13)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -22 - -21 - (3\/(-3))\/(8\/40). Solve 0 = -4*n - 4*o - 4, -n + x*o + 1 + 3 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 + 2*i**2 - 2*i**2)*(i**2 - 4*i**2 + 4*i**2) + 62*i - 62*i + 60*i**4 - 2*i**4 - 4*i**4 + 4*i**4 as j*i**2 + z*i + f*i**3 + v + g*i**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - a - 75 = 4*a, x + 5*a - 15 = 0. Suppose 3 = 6*t - x. Calculate the highest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 3 + -42 + 30?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 13*t + 35. Let y be n(15). Suppose -4*x + 2*x + 15 = -y*d, d - 4*x + 3 = 0. What is the closest to 1 in d, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 962\nAnswer: -2\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7781, -28245, -61333, -107039, -165357, -236281, -319805, -415923?\nAnswer: -524629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 11043402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58\/1841, 1, -0.1, -3\/247.\nAnswer: -0.1, -3\/247, 58\/1841, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 71, 101, 131, 161, 191?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*181\nAnswer: -36.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 190 in 165, 0.2, 0.1?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1746 - -1749. Let j be -3*(2 + 20\/(-6)). Solve -n - j = -y*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5942581 rounded to four decimal places?\nAnswer: -0.5943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 5*y)*(-y + 1 + 0*y - 4*y) to the form d*y**2 + t + z*y and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = 19*h + 1512. Let v = -90 - h. Solve 0*i - 16 = -2*i - 2*j, v = i + 3*j - 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18195*l**2 + 2*l**3 + 9095*l**2 - 4*l**3 + 15*l**3 + 9100*l**2 - 9*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.729202917 and -9.\nAnswer: -9.729202917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-12)\/(-2))*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, f: 4, g: 2}. What is prob of sequence fw?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 49\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -90. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 680, 681, 682, 683, 684, 685?\n\"Answer: d + 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + 70.52. Let x = -168.52 + m. Let w = x - -167.42. What is w rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 10:01 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.103348 to three dps.\nAnswer: 0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.9379607 rounded to the nearest integer?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*t**4 - 69*t**3 + 12944*t**2 wrt t.\nAnswer: 1104*t - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3\/2 + 73*w**2 + 5760*w + 31824 = 0. Calculate w.\nAnswer: -52, -6, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**10\/907200 - g**8\/20160 - g**7\/3780 - g**6\/1440 - g**5\/12 + 2*g**2. Let k(m) be the third derivative of w(m). Factor k(j).\nAnswer: (j - 3)*(j + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 9. What is the smallest common multiple of j(-5) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425547169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**2 - 780*r + 30420 = 0. Calculate r.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21350 (base 7) to base 12\nAnswer: -30bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2122923224.\nAnswer: 2, 439, 604477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (216 + -2)\/((-15)\/(165\/(-22))) is divided by 83.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2871607 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51423473 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 5)*(-2)\/(-4). Let q(a) = 389 + 4*a**m - 389. Calculate q(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/((-10)\/(-45) - (-429)\/(-2052)). Let u be (-3)\/2*n\/78. Solve -3*j + u = 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/8 and 2 + (-220)\/(-8) - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrovwrarvzovrvrvozv. What is prob of sequence ozo?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 1 - 10. Let r = 4 - g. Find the common denominator of r\/8*(-385)\/(-22) and 131\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 6:31 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v + 2. Let h(o) = -9*o - 2. Let a(m) = 3*h(m) + 4*j(m). Let l be a(-15). What is the remainder when 33 is divided by l\/(-6) + 6\/(-36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -2. What is the first derivative of -5*h**d + 9 - 1 + 2*h**4 wrt h?\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 4*w**2 + 26*w + 19. Give l(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q - 4*q**2 + 29 - 1\/3*q**3. Calculate v(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Let q(s) = -456*s. Determine q(l(y)).\nAnswer: 456*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + sqrt(108) + sqrt(108) + 3 + sqrt(108) + 5)*2)**2.\nAnswer: 39600*sqrt(3) + 109300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e (base 15) in base 8?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.85 - 3185.\nAnswer: -3216.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.0717 to 0 dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 4*c + 885. Let a = 510 - c. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2*38\/(-57). Let g = 3 + x. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14 and 0.4602.\nAnswer: -13.5398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(1 + 1)\/(2\/(-4)). Suppose 5*q - 17 = -x, -3*q + 1 = 5*x + f. Put 0, 3\/4, 1\/5, x in ascending order.\nAnswer: x, 0, 1\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/135 and -23\/36.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52787.8ml in litres?\nAnswer: 52.7878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -8 - (-48)\/10?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -81*s**3 + 2*s**2 + 35*s + 142. Is l(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 23*r**2 - 66*r - 4. Let q be p(3). Solve -i + q = -0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvwvm. Give prob of sequence vmw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 0.1, 3, 10 in descending order.\nAnswer: 10, 3, 0.1, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5354.9 - -5597. Let o = z - 242. Is -71\/4 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/17 - 126*r**2\/17 + 708*r\/17 + 112.\nAnswer: -2*(r - 7)*(r + 2)*(r + 68)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-21)\/(-54)) - 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -330 + 162. Let g = 401 + a. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 10*v + 13. Let a be l(-1). Is (-8496)\/(-16) - 4\/6*a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -17871*r**3 - 4*r**2 - 18*r + 75. Let m be x(7). What is m rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12023437.\nAnswer: 17, 707261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 28*v**3 + 6*v**2 + 9*v + 19. Give j(-2).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 989777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 6030?\nAnswer: 6022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10*g**3 - 4*g**2 + 4. Let u(w) = 9*w**2 + 132*w**3 - 58*w**3 - 9 - 54*w**3. Calculate -9*l(b) - 4*u(b).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 5. Let p(j) = 1. Let q(n) = 6*p(n) - z(n). Let s(v) be the second derivative of -44*v + 5\/3*v**3 - 7*v**2 + 0. What is -12*q(r) - s(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sswsisffi. Give prob of picking 2 i, 1 s, and 1 w.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, j: 8}. What is prob of picking 2 e?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 988 = -3*f + 1035, 0 = 3*f + 57*g - 255 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3413*g + 3416*g + 18 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5111*s**2 - 16 + 16.\nAnswer: -5111*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 4*g**3\/3 + 5*g**2\/2 + 5*g + 1. Let i(w) = -4*w**2 - 4*w - 4. Let u = -100566 + 100571. Give u*i(j) + 4*q(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o - r = 30*o + 1644, 5*r = -5*o - 2070. Let x be 5 - (o\/(-46) + -4). Solve x*y**2 + 18\/23*y + 0 = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53469)\/(-1404) + (-42 - -4).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607 a factor of 48657428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6296 divided by -31\nAnswer: -6296\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -4, 8.\nAnswer: -5, -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 29*q + 319. Let x be r(-11). Sort 2, x, 4, 6 in ascending order.\nAnswer: x, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -286*v + 4295. Let n be f(15). Put -70, -0.3, n, -0.2, 0.06 in ascending order.\nAnswer: -70, -0.3, -0.2, 0.06, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000051303211 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -8*h - 198. What is the remainder when 63 is divided by h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5130904 < -5130900?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -57*0.1\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/5 + 44*l**2 - 4288*l\/5 + 2752 = 0.\nAnswer: 4, 20, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2102, -2100, -2106, -2126, -2166, -2232?\nAnswer: -2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 5*r + 6. Let x be c(4). Let z(a) be the first derivative of -a**x - 2*a**4 + 2*a**3 - 1 + 0*a**2 + a**4. Factor z(y).\nAnswer: -2*y*(y - 1)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*n**6*q - 7*n**4*q - 48*n**2*q - 24*n*q wrt n.\nAnswer: 11880*n**3*q - 168*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -8\/27 (b) 5487 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2736) + 5 + -4 - (((sqrt(2736) + 1)*3 - sqrt(2736) - sqrt(2736)) + sqrt(2736) + 5 + sqrt(2736)*1 + sqrt(2736)))**2.\nAnswer: 504*sqrt(19) + 24673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12110201211021 (base 3) to base 9.\nAnswer: 5421737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 - 25 + 26*m + (-38*m + 33 - 33)*(0 - 1 + 0))*(1 + 1 + 1) as s + p*m and give p.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 1705474, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 920\/1196*26\/(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1160, -2317, -3474, -4631?\nAnswer: -5788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 6\/5*i**3 - 2\/5*i**5 + 0*i**4 + 0*i + 0 - 4\/5*i**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(315\/36))\/(-2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 84\/17, 5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1190 divided by -85\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 764.\nAnswer: 16808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2709, 2709, 2707, 2703, 2697?\nAnswer: 2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*f + 8 = 30*f. Let q(x) = -x**3 + 8*x**2 + 2*x - 7. Let z be q(8). Solve -4*p - 1 = f*o - z, -p - 2*o = -6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1403 + 1402. Put 0.58, -0.2, r in descending order.\nAnswer: 0.58, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -769*w + 69*w = 304*w + 3229 + 13839 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**6\/30 + 7*s**5\/60 - s**4\/12 + 5*s**2\/2 - 5. Let j(x) be the second derivative of k(x). Let j(u) = 0. What is u?\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 6*p**2 + 0*p + 27 + 8*p**3 - p**6 - 21\/5*p**5 - 9\/4*p**4. Find t such that n(t) = 0.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/12 and -121\/42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -31*1*(-17)\/6. Let g = s - 88. Which is the third biggest value? (a) g (b) 0 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(35) + sqrt(140)\/sqrt(4)) - sqrt(105)\/(sqrt(3)*2))\/(sqrt(70)\/(sqrt(10) - (-1*sqrt(70) + sqrt(70))\/sqrt(7))).\nAnswer: -13*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d - 33. Let x be q(4). Let y(m) = m + 5. Let t(s) = s + 8. Let u(a) = x*t(a) + 8*y(a). Let p(k) = -12*k. Calculate p(u(o)).\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -30*y + 23. Let g(i) = -20*i + 16. Give -7*g(o) + 5*p(o).\nAnswer: -10*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 2, 176 in descending order.\nAnswer: 176, 2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -434 (base 5) to base 12.\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 5*j - 7. Let v(b) = b**2 - 5*b - 8. Let p(r) = -6*h(r) + 5*v(r). Determine p(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 39. Let u(c) = -c - 20. Let q(a) = -7*u(a) + 4*z(a). What is the units digit of q(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/27))\/(r**(-2\/11)*r)*r**3*r*r**5)**(-40) assuming r is positive.\nAnswer: r**(-109960\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1763, -2, -4, 2, 0 in descending order.\nAnswer: 1763, 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (13 - 1 - 4). Suppose -3*m = q + 10, -n*q + 2*m - 14 = -m. Which is bigger: -5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a + 910269 = -240364. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.78631486?\nAnswer: -3.9315743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 11*h + 21. Let a be q(-7). Let s = a + -19. Calculate the highest common divisor of s and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36353790 and 1870.\nAnswer: 618014430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3*s + 2*s - 6, -m = 4*s - 15. Let y be -2 + 0 + m - -3. Suppose a - 35 = -y*a. Calculate the remainder when 27 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 11. Let u(m) = -9*m + 8*m**l - 4*m**2 + 16 - 6*m**2 - 7*m**3. What are the prime factors of u(11)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.122288 decades in months?\nAnswer: 1094.67456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159660?\nAnswer: 2, 3, 5, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 70741 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*a - 577 - 259, -g = -5*a - 856. Let w = -379 + 397. What is the highest common factor of g and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgggisggggtgisggsgg. What is prob of picking 1 s and 1 g?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 876134198 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281930 is divided by 193.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/(-6) + -7 - -12811. What is the units digit of -1 + p\/14 + 33\/(-231)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*j**3)*(-3*j - j + 6*j) - 4*j**4 + j**4 + 2*j**4 + 95058*j**2 - 95058*j**2 - 275*j**4 - j + 2*j**4 + j.\nAnswer: -278*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 572\/1215 - 1\/243. Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 7:21 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52475632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 281627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125910 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/18 and 53\/37588?\nAnswer: 338292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 12\/(-9)) + 896\/1092. Which is the nearest to 15? (a) -4 (b) o (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**2 - 6 + 6)*(9*s + 2 - 2)*(-18 - 4 + 0) to o*s**3 + f + k*s + z*s**2 and give o.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {h: 4, k: 4, p: 3, d: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*y = 22, -5*q = 2*y - 4*y - 16. Let p = -355 - -5323\/15. What is the second smallest value in q, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 276893 or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one sixteenth of a second?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) - (sqrt(1900) + -4))*-3 + sqrt(1900) - ((sqrt(1900) - (sqrt(1900) + 3 + sqrt(1900))) + 3))**2.\nAnswer: -480*sqrt(19) + 7744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 - 6)*(-2*w + 0*w + w) - 84 + 84 + w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(243) + (1*sqrt(432) - sqrt(432))**2)*1*-1 + -4.\nAnswer: 1 + 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1580*b - 1582. Determine k(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.83904 decades to centuries.\nAnswer: 0.383904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -923 = -14*u + 421. What is the highest common divisor of 64 and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -296*j**3 + 6*j**2 - 5*j - 559. Let x(h) = -147*h**3 + 2*h**2 - 2*h - 280. Let a(v) = -2*t(v) + 5*x(v). What is the derivative of a(w) wrt w?\nAnswer: -429*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 3*k + 2. Suppose 0 = -5*f - 20, 13*f - 16*f = -l + 7. Let r be l - -4*(-5)\/20*-1. Calculate z(r).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/n**6))*n**(-4\/5))**49\/((n**(1\/4)*n\/(n\/n**(-2\/7)*n))\/((n\/n**(-2))\/n**(5\/4))) assuming n is positive.\nAnswer: n**(-19699\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46292*u**4 - 29609 wrt u.\nAnswer: 185168*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 r when three letters picked without replacement from rqhhhvhhrqrahqv?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -63. Sort 4\/3, 0, v, 2 in descending order.\nAnswer: v, 2, 4\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*h - 69*h - 102 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/5)\/(7\/(700\/(-60)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 833233943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 527 + -528. Let l(d) = d - 1. Let c be l(6). Sort n, c, -2.\nAnswer: -2, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**7\/2520 - m**4\/2 + 7*m. Let b(v) be the third derivative of y(v). Let d(z) = -6*z**2. Give d(b(w)).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3482822kg in milligrams?\nAnswer: 348282.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/12 and 31\/9437478?\nAnswer: 18874956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2817811 or 2817812?\nAnswer: 2817811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 20 = -2*a, 4*h - 7 = -a. Suppose c - 2*t - 248 = 0, 3*c - h*t - 728 = -t. Calculate the greatest common divisor of 96 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.2 (c) 0.08 (d) 5\/3 (e) 289\/2 (f) 3\/8 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.53695962 and -20440.\nAnswer: -20438.46304038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q + 3*q**2 - 413 + 410 + q**2 - 3*q**2. Calculate k(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/6, -1266374, 4 in descending order.\nAnswer: 4, 0.2, -1\/6, -1266374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59407651 is divided by 1364.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 2:36 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/130 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 9961 = 2*m, m = -0*m - 3*r - 5003. Let k be m\/(-831) - (13 + -7). Are k and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7142319 - 3?\nAnswer: 7142316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from lhlllhhlhhhhlhlhlll.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7042?\nAnswer: 2, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -187 (c) 168 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*r**3 + 4*r**2 - 68100 - 2*r**2 - 6*r + 68097)*(3 - 2 + 1).\nAnswer: -18*r**3 + 4*r**2 - 12*r - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 21*f - 6. Let z be x(1). Suppose -21*j = -z*j + 288. Let y = j + 101. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2745, -5572, -8413, -11268?\nAnswer: -14137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from yhiuaayk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -141252 - -19775149\/140. Find the common denominator of 43\/28 and t.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5316377 is divided by 256?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v. Let o be b(1). Suppose 9*c - 190 = o*c. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7 - 19 = 0. Let r = k - -2. What is the units digit of -2 - 1 - 36\/r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 1\/16 (b) 376 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5859431, 11718869, 17578307, 23437745?\n\"Answer: 5859438*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3.79249 * -19\nAnswer: 72.05731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 10*v - 5. Let a be n(-10). Let x be 15\/6 + a\/10. What is the third derivative of -5*o**4 + 120*o**x - 17*o**4 - 110*o**2 wrt o?\nAnswer: -528*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.9093 rounded to 0 dps?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12716, -24216, -35718, -47222, -58728?\nAnswer: -70236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -224, 2\/3 in increasing order.\nAnswer: -224, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -180\/13 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 418.546 centuries in years?\nAnswer: 41854.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-363 - -351) + (-1 - 0) - 20.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 27445180958 less than -0.4?\nAnswer: -27445180958.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b\/(b\/(b\/b**(-7\/10)))))*b**(1\/36)\/b assuming b is positive.\nAnswer: b**(131\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mamemeeaemem. What is prob of picking 1 a and 1 m?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (328 + 995 + 1351 - 778)*(4*i - 3*i + i).\nAnswer: 3792*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-186)\/(-24) - (-21)\/(-336)).\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597976002 to the power of 1\/2, to the nearest integer?\nAnswer: 24454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -12*s + 5*s. Let d be ((-84)\/5)\/((-32)\/(-560)). Let g be d\/(-14) - (0 + 2). Calculate the greatest common divisor of g and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 30\/24)*56\/(-35)*8\/32. Suppose 5*i**2 + j*i**3 + 10 - 35\/2*i = 0. Calculate i.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -55\/184, -4?\nAnswer: -55\/184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 234\/12665?\nAnswer: 234\/12665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1252675792 to 5 dps.\nAnswer: 0.12527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60112 and 832.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8529100 is divided by 8903?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 divided by -18.\nAnswer: -83\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1425017?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -9*t**2 - 123*t + 45. Give k(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(sqrt(76) - (sqrt(76) - 2*sqrt(76))**2) + -5)*1.\nAnswer: -8*sqrt(19) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 6. Sort 0, m, 5.\nAnswer: m, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 4 - 2 + 0*x**2. Let c(b) = -b**2 + 7. Let n = -117 + 65. Let i = n - -46. Give i*c(z) - 7*h(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3 + 2*w + 4*w - 5*w. Suppose -3*f = 0, -j - 32 = -5*j - 2*f. What are the prime factors of z(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111112200002 (base 3) to base 5.\nAnswer: 32012243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89 + -83. Calculate the remainder when 52 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/((-11)\/(-165)*5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 2. Give b(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d - d**5 + 3*d + (-4*d**2 - 3*d**2 + 4*d**2)*(d**2 - d**2 - d**3) + (-3 + 3 - 2*d**3)*(-8*d**2 + 24*d**2 + 42*d**2) + 0 + 0 + d**5.\nAnswer: -113*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 44\/(-110) - ((-34)\/10 + 0). Solve 0 = -4*s - a - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -219*w**3 - w**2 - 4*w - 3. Calculate the remainder when d(-1) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**26\/f)*(f\/(f*f**(10\/7)))\/f)**(-1\/4) assuming f is positive.\nAnswer: f**(185\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 4. Let w be y(-4). Let q be (-45)\/24*(w + 4). Let l = 8 + q. What is the second biggest value in 1, l, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*d = 134, 5*d - 304 = -4*p + 4*d. What is the remainder when p is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -8*w - 6*w + 216 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 5. Let h(t) = 2*t - 4. Let m(r) = -6*h(r) - 5*v(r). Determine m(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -1) + -3 + -1 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 324 by 3076.\nAnswer: 81\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1\/2, 2\/9, 0.1, 0.12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwlwinlwiwl. What is prob of picking 1 w, 1 l, and 1 i?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 413636.8 micrometers in nanometers?\nAnswer: 413636800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-5 - -16) - (-140 - -164)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - -20) - (-13 - (-94 + -71)).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2116, 2201, 2296, 2407, 2540, 2701, 2896?\n\"Answer: u**3 - u**2 + 81*u + 2035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*t + 2. Let f = t + 4. What is the second derivative of l**3 + 0*l - 3*l**f - 2*l wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4167 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-4))\/(((-2460)\/574)\/(-6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(0*q + 0*q + 3*q + (0 + 0 - 2)*(-2*q - 4 + 4) - q + 3*q + 0*q) - 3 - 3*q + 3.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3463, 3683, 3909, 4141, 4379, 4623, 4873?\n\"Answer: 3*v**2 + 211*v + 3249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueoiu. What is prob of picking 1 i and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 12*n**2 + 20*n + 364. What is l(-11)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -175 - -352. Suppose -4*o - 3*w = -8 - 9, -4 = o - 2*w. Find the common denominator of o\/(-6) - g\/(-9) and 12\/17.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 - 187 = -37*k. Suppose -w + 4*q - 28 = -3*w, -3*q = -3*w - 3. Put k, -3, 1, w in increasing order.\nAnswer: -3, 1, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 15 = -i. Let x(u) = 46*u + 4 + 48*u - 95*u. Calculate x(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 11*o**2 - 14*o - 6. Is q(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i + 3 - 3 + (-4 + 2 + 1)*(4*i - i - i))*(7*i**2 + 12*i**2 - 21*i**2) - 9*i**3 - 5*i**3 + 6*i**3 in the form s + u*i + d*i**3 + n*i**2 and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*j - 18 = 0, -31*g + 27*g + 21 = -3*j. Solve 5*s = -g*t - 25, 3*t + 24*s = 23*s - 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10198 divided by -2398?\nAnswer: 5099\/1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -309*c**2\/2 + 2*c - 1409. Let y(n) = 15*n. What is y(w(o))?\nAnswer: -4635*o + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p**3 - 43*p**2 + 19*p + 71. Calculate l(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 7*z - 2*z. Let r be (-60)\/(-105) + 3\/((-42)\/(-62)). Let x(m) = -r + 17*m + 11*m - z*m. Determine x(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -1*33\/(-27). What is the closest to 0 in -5\/3, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9) - (-77)\/3. Suppose -2*b - v = -y, 2*b = -2*b + 5*y - 35. Is b*(-1)\/(0 + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3286 + 3.32859875452. Round t to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*x**2 - 2*x + 16?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 + -1. Let m = h - 0.2. What is the nearest to 0.1 in m, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.5871 months in years?\nAnswer: 1.548925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-28)\/(-6))\/(-56*57\/(-912)))\/(142\/3)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 + 4*n**2 + 4. Calculate h(-4).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 2) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 73628300*o + 271056328044500.\nAnswer: 5*(o + 7362830)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -16*d**3 - 3*d**2 - 45*d + 60. What is the hundreds digit of p(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14088, 0, -107 in ascending order.\nAnswer: -107, 0, 14088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uueeuuuueuee?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1528, -1543, -1568, -1603, -1648, -1703, -1768?\n\"Answer: -5*p**2 - 1523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by (-2)\/(0 - (3 - 80\/28)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 165\/(-60) + (-22)\/(-8). Solve -6*l + 2225 - 2261 = t for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2 + 48*u - 1. Let m be l(-13). Let q(h) = -28*h - 23*h + m*h - 2*h**3 - h**2. Calculate q(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**5\/60 - x**2. Let k(t) be the first derivative of 0*t + 1 + 1\/2*t**2. Give k(n(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rju when three letters picked without replacement from uuuurrrurcruujujurr.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o**2 + 45*o**2 - 16*o**2 - 18*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2. Let j(h) = -5*h**2 - 6*h. Let o(s) = 11*s + 9. Let u(v) = 5*v + 4. Let f(a) = 4*o(a) - 9*u(a). Let k(x) = -6*f(x) + j(x). Give k(q(t)).\nAnswer: -20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11333220 - -20?\nAnswer: -11333200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 38*l + 50. What is a(0)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 0*h**2 + 0 - 6*h - 1\/2*h**4 + 4*h**3 - 3\/20*h**5. Factor z(m).\nAnswer: -3*m*(m - 2)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -208623 and -0.3.\nAnswer: 62586.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/((-4)\/24). Suppose d*o = 13 + 2. Solve 3*w + 20 = 6*w - 2*t, -3*w + o*t = -32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 10:24 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 437 - 170*t + 3*t**2 - 291 - 596 - 277*t.\nAnswer: 3*(t - 150)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - x**3 + 2*x + (49 + 54 + 28)*(-x**3 + 2*x - 2*x).\nAnswer: -132*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/2997 and -5\/1050948.\nAnswer: 3152844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 1316902686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(12) - (2 + sqrt(432) + sqrt(432))) + 5)**2.\nAnswer: -308*sqrt(3) + 1501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 326672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m**2 - 1\/11*m + 1\/11*m**3 + 0.\nAnswer: m*(m - 1)*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - t**2 + 2*t - 2. Let u be c(2). What is the units digit of (u\/(-4))\/((-6)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -n + 5, -3*m = 3*n + 23 - 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -n - 16, -4*n - 7 = 9. Let a(q) = q**2 - 6*q - 70. Let j be a(y). Solve -5 = r, -j*u = 2*u - r - 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.281 - 1.719. Let l = 233 + -220. Which is the biggest value? (a) 2 (b) -4 (c) g (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -174*n - 102. What is l(1)?\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1701 + 1703. Put 6, -5, 0.4, s in ascending order.\nAnswer: -5, 0.4, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 97, 5\/4, -5\/2, -32\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -153, -157, -161, -165, -169, -173?\n\"Answer: -4*j - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 8*u + 26, 0 = -2476*o + 2479*o - 21 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaaauuuu. Give prob of picking 2 a.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*l + 54879 = 5*m - 73*l, -3*m + 5*l = -32954. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24794, 48050, 71318, 94604, 117914?\n\"Answer: i**3 + 23249*i + 1544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 12:09 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 17 = 6*r. Suppose 5*n - 6 = 14. Suppose -n*d + 4*o + 252 = 36, -3*o = r*d - 302. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -10, 138, -711.\nAnswer: -711, -10, -5, 2, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.3 and 35.\nAnswer: -80.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -707 or 10533?\nAnswer: 10533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (3 - (-15 + 16))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/8528906 and 71\/3026386?\nAnswer: 93817966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 4459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2903, 2\/13, -1, 4, -2\/17 in descending order.\nAnswer: 2903, 4, 2\/13, -2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128 - -162. What is the highest common factor of q and 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 529096.2 decades?\nAnswer: 52909.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 565*z**2 - 2180*z.\nAnswer: -5*z*(z - 109)*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from {t: 2, d: 11}.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3.91 * -0.6\nAnswer: -2.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*j - 7, g + 9 = -0*j + j. Calculate the least common multiple of g\/((-60)\/(-8))*-6 and 0 + 5 - (-2)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.00585145816527 + 2339410.80578445816527. Let l = 2339394.8 - s. Let n = l - -16. Round n to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4.3 (b) 1\/9 (c) -3\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -69 + 9. Let i(n) = 9*n - 3*n - r*n - 2. Let u be i(-1). Solve 4*z + 8 = -u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 160 = -372. Calculate the remainder when 620 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-144))\/(48\/(-720)))\/((-15)\/540).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-43))\/(t\/t**0)*t**(-16)*t\/(t*t\/((t\/((t\/t**(-30))\/t))\/t*t))*t*t assuming t is positive.\nAnswer: 1\/t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 914451 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15213 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 727.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k + 7. Let a(o) = o**2 - 18*o - 13. Let f = -195 + 126. Let i = f + 88. Let l be a(i). What is g(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 21226\nAnswer: 12\/10613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1.4, 5, -1\/4, -23?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*p - 2*p + 24, 2*s + 24 = 4*p. Let q = -2 + -2. Let n = p + q. Solve 3*z = 4*z + n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179776817643751 - 1.\nAnswer: -179776817643752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*z + 8. Suppose 2*v + 2 = -2*k, v - 6 = 4*v + 2*k. Let n be (-1096)\/(-2466)*15\/4. Which is the biggest value? (a) z (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/159 and 43\/1515?\nAnswer: 80295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.14 or 16611\/29?\nAnswer: 16611\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55 - 68 + 84 - d + 99 - 4*d to the form c*d + m and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -95550 to the nearest one thousand.\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11652 - 23659?\nAnswer: -12007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -194, -749, -1824, -3587, -6206?\nAnswer: -9849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 0*i**3 + 1\/4*i**4 - 5*i + 15 + 0*i**2. Let j(r) be the first derivative of n(r). Determine j(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -234 - -229. Does 16 divide 1*1118*z\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124287, -127379, -130483, -133605, -136751, -139927, -143139, -146393?\nAnswer: -149695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 23 + 17 + -34.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l + 2 - 19*l + 5*l)*(6*l + l - 3*l).\nAnswer: -12*l**2 + 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 + 6*r**2 + 4*r + 3. Let c(g) = 4*g**3 + 9*g**2 + 3*g + 4. Give 2*c(s) - 3*i(s).\nAnswer: -s**3 - 6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + i)*(-14*i**4 - 9*i - 16*i**4 + 31*i**4).\nAnswer: i**5 - 9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + 6. Let b = c - -12. What is the highest common divisor of 20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8933, -8599, -8265, -7931?\n\"Answer: 334*t - 9267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-3\/7)*v*v**(-4)\/v)\/(v**(-2\/5))**(-26) assuming v is positive.\nAnswer: v**(-449\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from lklckcclckkccckccwcc?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3690 (base 14) in base 16?\nAnswer: 253e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -40432 (base 10) in base 9?\nAnswer: -61414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -241\/6. Let d(t) be the second derivative of 0*t**2 + 3*t - h*t**3 + 0. Let z(p) = -7*p**2. Determine z(d(u)).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-5 + 0)) + (-6 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 861 - -4b4?\nAnswer: d15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, v: 1}. What is prob of picking 2 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2364807\/(-270) - 8\/20. Let w = z - -8753. Calculate the common denominator of 47\/120 and w.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.065 (b) -2 (c) 137.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3337 + 3340. Put 2135, z, 5 in decreasing order.\nAnswer: 2135, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52584499, 52584497, 52584493, 52584487, 52584479?\nAnswer: 52584469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r**2 + 14*r**2 - 4963*r + 17*r**2 - 47*r**2 + 4962*r + 951.\nAnswer: -r**2 - r + 951","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 6*l**2 + 12*l + 7. Let a be c(-5). Let k be a\/(-60) + -4 + 5. Does 0 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ca54b (base 14) to base 8\nAnswer: 1674007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/127503 and -73\/16452.\nAnswer: 510012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984461 is divided by 1179.\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1988119 or 1988517?\nAnswer: 1988119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 6. Let j be 12\/(-18)*-3 + 2. Let v be a(j). Suppose 2*x + 3*x - 10 = 0. Solve x*y + v*y = 2*f + 28, -4*f = 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -146? (a) -3 (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4 - 4. Suppose -g*h + 12 = -5*f, 0 = -5*h - f - 3*f - 26. Suppose 160*s + 76 + 39 = 183*s. What is the second smallest value in s, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 3212232?\nAnswer: -3212232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 167 + -134. Solve -4*k + 15 + 3 = -2*u, 0 = -4*k + 5*u + w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 5483, -3 in ascending order.\nAnswer: -3, 24, 5483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 3*t**2 + 3*t. Let y be a(-2). Suppose 0 = 2*o - 5*n - 95, 0*o + 3*n = 3*o - 120. What is the greatest common factor of o and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-289)\/34 - (2 + (-2)\/1)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-31)*r**26)\/((r*r\/(r*(r\/(((r\/(((r\/r**(-16))\/r)\/r))\/r)\/r))\/r)*r)\/(r*r\/r**(36\/7))) assuming r is positive.\nAnswer: r**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 8:03 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 8*a**2 + 7*a + 10. Let z be s(7). Calculate the highest common divisor of z and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 0.03, -1.\nAnswer: -1, -0.05, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30276*o + 30274*o + 104 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 68 (base 10) to base 11\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2653763 is divided by 268?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*f)*(948 - 1989 + 691)*(4 - 5 + 2).\nAnswer: -700*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -456, -188, 258, 882, 1684?\n\"Answer: 89*g**2 + g - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1017 divide 274190795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.84873997 rounded to 0 decimal places?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 30968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 12.6, -0.2, 0.3, 15\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 24*s - 427. What is the remainder when h(24) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {y: 4, f: 1, g: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23333 (base 6) in base 10?\nAnswer: 3369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112\/13 + -667\/78. Find the common denominator of -56\/1257 and y.\nAnswer: 2514","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2*2\/(-40))\/2)\/(((-153577)\/472)\/(-137))?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.49, 2, 4, -5\/8, 9\/2, -5?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**4 + 4*j**4 + 2*j**4)*(-1 - 2*j - 7 + 5).\nAnswer: -2*j**5 - 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l - 2*l + 2*l + 12*l**2 to the form d*l + w + q*l**2 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 7158 = -10*h + a, -21426 = -3*h + 5*a. List the prime factors of h.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -1) + (-29 - -25).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16678?\nAnswer: 2, 31, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y + 8 = 4*d, -3*d + 17 = -2*y. Let u = -2 - y. Suppose -2*p - u*p = -108. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-66)\/9*((-492)\/(-8))\/(-1). Which is bigger: 452 or g?\nAnswer: 452","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + h**2 + h + 2. Suppose 0 = 3*o + 2*o + 35. Let l = 7 + o. Calculate m(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 6*n - 2*g + 20 = 0, 5*n - 1 = -4*g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-427)\/(-3) + 6\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/((sqrt(9) + (sqrt(36)\/sqrt(4) + sqrt(9) - sqrt(9)))*1))\/(-6*sqrt(48)*2).\nAnswer: -sqrt(11)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*o - 322 + 32 = 0, 0 = -5*b - o + 310. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -12. Let i be (-5)\/(-15) + (-28)\/z. Suppose 16 + 9 = i*r. Calculate the greatest common factor of 15 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(9\/7)*o)**48\/(o*o\/o**(-2\/75)*o)**39 assuming o is positive.\nAnswer: o**(-1457\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23291711 divided by -1?\nAnswer: 23291711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 318094293?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100100111010100100010 (base 2) to base 5\nAnswer: 302202014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 0.06, 4, -1\/20, -9 in ascending order.\nAnswer: -9, -1\/20, 0.06, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159 by 3.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/11 (b) 26623\/5 (c) 3\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482587271.\nAnswer: 482587271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 0 + 0*k + 1304*k**2 + 648*k**4 - 4\/3*k**5 + 5860\/3*k**3 = 0.\nAnswer: -2, -1, 0, 489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 153224 + 4731. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9 and 139.5770397418.\nAnswer: 130.5770397418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2676.14022 to the nearest integer.\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 - y + 1 - 1 + (-y + 3*y - 4*y)*(-3*y + 0*y + 5*y) + 2*y**2 - 3*y**2 + 2*y**2 + 6 - 2*y**2 - 6.\nAnswer: -2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*j + 169624 - 168184 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 9:01 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*j + 56*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 minus 2814963?\nAnswer: -2815001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Solve -x*j = 2*t - 12, -t + 5*j - 16 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -3\/2*n**2 + 1\/4*n**4 + 20 + 2*n + 1\/3*n**3. Determine g(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*-2*2)\/(-2*sqrt(392)) + 1)*-5.\nAnswer: -5 - 10*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 5:32 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6))\/(182\/(-104))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00145548179 rounded to seven dps?\nAnswer: -0.0014555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1580, -1584, -1590, -1598, -1608, -1620, -1634?\n\"Answer: -p**2 - p - 1578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 78\/1235*25\/15\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 11*n**3 + 4*n**2 + 2 - 8*n**2 - 2*n**4 to z*n**4 + i*n + m*n**3 + c*n**2 + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-216)\/(-126))\/(10\/7)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 67 = -o, -3*o + 78 = 5*p - 123. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (-5 - (-3 - -1)). Let c be 4\/(-22) + ((-1303260)\/154)\/(-15). Suppose -c = -x - h*x. Is 32 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22 - -1d24?\nAnswer: 1d02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.031?\nAnswer: 0.0124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340 - 340 + 5*b - 5*b**3.\nAnswer: -5*b**3 + 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2209, 8626, 19257, 34102, 53161, 76434, 103921?\n\"Answer: 2107*g**2 + 96*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056210970.\nAnswer: 2, 5, 105621097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36932.809 + 36928. Round n to one decimal place.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 + 4*a**3 - 2339*a + 2339*a - 11*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 205 or 2795?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1293 divide 3715235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44111300 + 11120?\nAnswer: 44122420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdd when three letters picked without replacement from {d: 8, b: 2, z: 1, k: 2}.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -657, -838, -1005, -1152, -1273?\n\"Answer: b**3 + b**2 - 191*b - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Suppose 24*p - 123 = 18*p - 35*p. Which is greater: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/2 - 1077*b\/2 + 2680 = 0. Calculate b.\nAnswer: 5, 1072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - 16540243?\nAnswer: -16540222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 8 = -4*c, -5*j + 4 = -3*c - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 greater than or equal to -218555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*a = -17, 0 = -j - 2*j + 5*a + 29. Suppose j*i + 6 = 3*u, 11 = 4*u + i - 7. Solve -3*r - u = z, z - 6*r + r = -4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 846, 1680, 2514, 3348, 4182, 5016?\nAnswer: 5850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 138320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) 0.1 (c) 63 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 11*b**2 - 7*b + 162. Determine t(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + ((sqrt(78) - (-1*sqrt(78) - sqrt(78))*-5) + sqrt(78))\/(sqrt(18)\/(sqrt(12)\/sqrt(4))).\nAnswer: -8*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/16352 and -29\/72.\nAnswer: 147168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24172 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a week in minutes?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 36 = -8*t. Find the third derivative of -159 + 205*y**t + 2*y**2 + 22*y + 81 + 78 - 5*y**2 wrt y.\nAnswer: 24600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2154 divide 945464174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1877393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343200 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -52*z - 16. Let y(w) = 3*w**2 + 12*w + 6. Let f be y(-3). Let r be a(f). What is r rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -508, -934, -1350, -1750, -2128?\n\"Answer: o**3 - o**2 - 430*o - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbb when three letters picked without replacement from bbfffffb.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 + 85*q - 1 - 99*q - 394*q**2 + 386*q**2 to l*q**3 + u*q**2 + b + d*q and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t + 9. Let l(r) = -15*r + 17. Let h = 3 + 4. Let g(y) = h*k(y) - 4*l(y). What is the derivative of g(p) wrt p?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.31393 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7990\/3 + -2663. Let h = 0.08 + 2.92. What is the nearest to h in 0.1, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 4*i, -78*i = -87*i - z + 23 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2496 - 2*h + 5*h + 2491. Let o(i) = i**3 + 4*i**2 + 5. Let j be o(-4). Calculate k(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10241 (base 6) in base 4?\nAnswer: 111301","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 6*w - 1\/2*w**2 - 6. Give z(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26425678 times 0.4\nAnswer: -10570271.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77.38 - -77. Let z = -20.525 - -21. Let s = o + z. What is s rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 14 = -19. Suppose -108 + 18 = -v*s. Calculate the remainder when s is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (11 + -7)) + -9 + 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/15 + 1462*s\/15 + 49868\/5.\nAnswer: -2*(s - 822)*(s + 91)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68690050 to the nearest integer?\nAnswer: 8288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, z: 3, t: 1, m: 1, n: 4, s: 7}. Give prob of sequence ss.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4959, -4957, -4955?\n\"Answer: 2*f - 4961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1679 + 3324. Is 35 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 + 0.8. Let l = 49.7 + -50.2. Which is the nearest to -1\/4? (a) l (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-5 - 0)) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 2. Let h be z(-2). Let w(n) = -6*n**3 - 5*n + 5. Let t(p) = 5*p**3 + 4*p - 4. Give h*w(l) - 5*t(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - t + 715 = 0. What is the derivative of t + 40 + 130 - 36 + 94 - 41*f wrt f?\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2097*o + 78900. What is w(38)?\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8127382999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-5))\/(-4) - 28728\/(-1260).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-2 - 1)\/(-3). Suppose -6*z + 16 = -i*z. Suppose x = z*x - 45. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20311303 (base 4) in base 6?\nAnswer: -435351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-1)\/((9\/15)\/3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1075.0473 - 1075. Let i = o + -0.05. What is i rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 + 18*a**2 + 12*a - 16. Let o be j(-5). Sort o, 1, 0, -5.\nAnswer: -5, o, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -3*d. Suppose -n - 22 = -d*n. Let m = n + -2. What is the smallest common multiple of m and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4672727 decades in years?\nAnswer: 4.672727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16075 rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-8)\/(-12)*1. What is the third smallest value in -0.5, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 114\/13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 1)*(0 + 0 + 2)*(3 + 14 + 4 + (-3 - 3 + 5)*(4 + 2 - 4))*(3*x**4 + 6*x**4 - 8*x**4) as j*x**3 + c*x**4 + w + y*x + v*x**2 and give c.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 38350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from wwwwwddwwdwwwww?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1.1578.\nAnswer: -0.1578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 0.3, -3, 1, 5, -65515?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 42*h**2 + 137*h + 115. Determine o(-45).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1 (c) -7 (d) -11 (e) -33 (f) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 929 + 203. Suppose 5*f + 882 = b. What is the remainder when 170 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 622, -1, 3, 1 in descending order.\nAnswer: 622, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 + 19 + 0 + 14 + (5 - -11).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m - 7 + 3 - 3.\nAnswer: 36*m - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 1298 + 82. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 20. Let c be y(11). Let x(v) = v**2 - v - 2. Let i be 0 + -1 - 6\/(-2). Let k be x(i). Solve k*u = -c*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 19 = 57*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -16*k**3 - 52*k**2 - 54*k. Let h(g) = -g**4 + 31*g**3 + 103*g**2 + 108*g. Let r(o) = -2*h(o) - 5*v(o). Determine s, given that r(s) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6912 and -125\/72.\nAnswer: 6912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -695006, 0.03.\nAnswer: -695006, 0.03, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 10. Let k be i(21). Suppose -k*g = -9*g - 6. What is the remainder when 5 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -77b3c87?\nAnswer: -77b3c87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + -7. Let n be (-40)\/f - 22\/99. Suppose -n*d - 26 + 206 = 0. What is d rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 31\/155*(-10)\/12. Let k(t) = -t**2. Let c be k(-5). Let f = -193 - -196. What is the second biggest value in j, c, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*w - 5*v, 2*w + 5*v = -6. Suppose 2*m + 4*f + 31 = 7*m, -f - 7 = -m. Let q = m + w. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 231048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -2118 and -5\/97 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s. Let f(r) be the second derivative of 0*r**2 + 0 + 2\/3*r**3 - 11*r. What is n(f(k))?\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 2 + 47 + -36\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.062 times -1.22\nAnswer: 0.07564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 28 = 6*p. Suppose 0 = r + 1 - p. Calculate the highest common divisor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4680 - 4667 - 4682 - 5*b + 18719 - 4690.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.44 + -1.440113. Round x to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.27047 rounded to 1 dp?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 29 = 8*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 0.13867?\nAnswer: 0.13867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 170 = -t. Let i = t - 53. Suppose -3*v + i = -16. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -2*o**6\/3 - 44*o**5\/5 - 14*o**4 + 152*o**3\/3 + 30*o**2 - 108*o + 1725. Determine b, given that f(b) = 0.\nAnswer: -9, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 950309 is divided by 158146?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**4\/4 + 14*o**3\/3 + 7*o**2\/2 - 6*o - 7. What is the hundreds digit of f(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 + -36. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 16. Let y be w(-13). Solve -8*l - y = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24266 is divided by 3033.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53414966*c**4 + 65038672*c**2?\nAnswer: -1281959184*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 2, v: 2, h: 2, n: 3, r: 1}. Give prob of picking 1 v, 1 s, and 1 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-2 + -2 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*i**3 + 51257*i**2 + 205100*i + 205124 = 0. Calculate i.\nAnswer: -2, 51281\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:38 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-25\/3)*k**(-18)*k**(11\/5)*k*k*k**18*k)**(4\/11) assuming k is positive.\nAnswer: k**(-188\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 7. Let f(w) = -w + 6. Determine -5*f(r) + 4*z(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2805881 and 1846?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 + (-75)\/20. Let k be ((-4)\/5)\/(2\/10). Let m = k - t. Solve f + 2*w = m, 5*f - f - w = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/840 and 29\/82110?\nAnswer: 328440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -2\/3 (b) 5 (c) 1\/3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 636*b + 7654. Let l be a(-12). Solve -l*c = -20 - 46 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 12:56 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-420)\/(-315))\/(1\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*l + 3*m - 6, -4*l = 3*m - 8. Let t(n) = 3*n**2 - 6*n - 4*n**2 - 4*n**l + 4*n**2 + 4. Calculate t(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -0 - 18. Suppose 3*u = l*n + 14, 3*n - 4*n = 2*u. Solve 0*g + u*g = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-84)\/(-320) + (-2)\/10. Let f(h) be the first derivative of 5\/8*h**2 - l*h**4 - 3\/4*h - 2 - 1\/12*h**3. Factor f(m).\nAnswer: -(m - 1)**2*(m + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29\/8 in -2\/11, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*j**5 + 60*j**2 - 60*j**2 + (j**3 - 3*j**3 + j**3)*(-5*j**2 + j**2 + 5*j**2) + 0*j**4 + 0*j**4 - 2*j**5 - j**5 + 3*j**5 - 4*j**5.\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2979\/(-135) + 13 + 9\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 210 = 2*w, 104*w - 413 = -3*r - 43 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/11, 4\/3, -17, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -11.99996. What is b rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -240, 6, 13.19 in decreasing order.\nAnswer: 13.19, 6, 2, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*u**2 + 203*u + 146*u - 42*u)*(2*u + u - 4*u) to the form f*u**2 + y*u**3 + q*u + w and give f.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 143343792 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4939 >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 1 + 7 - 1198*a + 7 as w*a + d and give w.\nAnswer: -1198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8*y**2 - 24*y - 3. Let g(n) = -9*n**2 + 24*n + 4. Calculate -3*g(u) - 4*v(u).\nAnswer: -5*u**2 + 24*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.95 - 0.9. Let k = w - 0.0500026. Round k to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(45) + 3 + -1).\nAnswer: -6*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*m - 696*m = -117 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 944 and 228920.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 21. Calculate g(7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 3) to base 10\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/5)\/f)**(1\/21)\/(f*f**(1\/28)*(f*f**(-15)\/f)\/f) assuming f is positive.\nAnswer: f**(6277\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*c = -746, 3*s = 3*c + c + 1105. Suppose i - 36 + 3 = 0. Calculate the greatest common divisor of i and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 476.6 from -0.5.\nAnswer: -477.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21590 + 21589.9. What is the nearest to 20 in -2, 2\/13, -2\/7, k?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.426 minus 181.2635686?\nAnswer: -180.8375686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -370181\/24 - -15423. Calculate the common denominator of 83\/180 and v.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1977 - -1981. Put -184, -5, s, 6 in descending order.\nAnswer: 6, s, -5, -184","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -62*g - 181. Determine o(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 34 (b) 1 (c) -107 (d) -5 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -250 divided by 125\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**3 + f**2 - 5*f - 6. Let l be o(-1). Suppose l*r - 19*w = -20*w - 7, 2*w = 3*r - 1. Is 2 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 51. Let y(o) = -2*o**2 + 132. Calculate -12*b(p) - 5*y(p).\nAnswer: -2*p**2 - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 237, 359, 481?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)\/(r\/(r**(-1)*r)))\/(r**6\/r**1) assuming r is positive.\nAnswer: r**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, d: 6, n: 4}. Give prob of picking 2 d and 2 x.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9664 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -17.98. Let q be 2 + (-2 - (-48 - 6\/(-3))). Let m = q + -51. Are h and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124220240 (base 5) to base 15.\nAnswer: -c2bea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 9*x**2 - 12*x - 14. What is the remainder when 10 is divided by t(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*b + 53, b - 9 = 3*i - 61. Suppose -5*y + i*y = 12. Let u(o) = -2*o**3 - o**2 - 3*o - 2. Let x be u(-1). Solve -n - x = y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4500*g. Let u(i) be the first derivative of -2*i**3\/3 + 3831. Give r(u(s)).\nAnswer: 9000*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 518*u - 101 + 96 + 1271*u.\nAnswer: 1789*u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.26 - 0.74. Suppose -8 - 7 = -5*h. Suppose 0 = -h*u + 7*u + 8. Put r, 0.5, u in decreasing order.\nAnswer: 0.5, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) 0.1 (c) 0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33.3 - 42.3. Let q = u + 12. Which is the nearest to 1.45? (a) q (b) -4\/7 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1209185*-2.\nAnswer: -2418370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-34) + -105 + 708012\/6732.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 14*h - 12. What is the remainder when 359 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = -5. Suppose 0 = c*v - 5*n - 652, -v - 2*n - 440 = -3*v. Find the common denominator of -44 and (v\/18)\/((-12)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -646*d - 450*d + 356*d to g*d + x and give g.\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 19*u - 5*q + 90 = 0, -4*q + 2 = u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + m + 44. Let v(z) = 20*z + 220. Let y be 166\/747 - (-101)\/(-9). Let d be v(y). Give x(d).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-232)\/174)\/(5\/30).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-15) - (5 - (-694)\/(-6)). Suppose -4*l + 4 = 0, -4*y + 5*l - l = -384. Suppose -5*a - c = -3*q + y, 4*a = 5*q - 345. List the prime factors of q.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*j + 910 = 174*j - 222*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -2\/9, 3 in decreasing order.\nAnswer: 30, 3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (4713 - (252\/(-4))\/9) + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6938 - -6939. Solve -z - y - 9 = 3*m, -2*z - 2*m - 12 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 759 and 113022.\nAnswer: 1243242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -2.4048\nAnswer: 1.2024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9106865 is divided by 64?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*w + 18. Let h(a) = -9 + a**3 + 5 + 5904*a**2 + 8*a + 5902*a**2 - 11796*a**2. Give h(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2882043, 2882029, 2881993, 2881923, 2881807, 2881633, 2881389?\nAnswer: 2881063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 n, and 1 l when three letters picked without replacement from {d: 5, l: 2, n: 8}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/5 + 5359*d**2\/5 + 1086687*d - 4936114323\/5.\nAnswer: (d - 563)*(d + 2961)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -33.2. What is the biggest value in -0.3, -30, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*n - 75*n + 9036 = 3*x, -3*n = 4*x - 12051. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 7*(8 + -10)) + (146\/(-11) - -4).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*n + 2398 + 1718 = -219 for n.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 + -1. What is the third biggest value in -1, c, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k + 8*k**3 - 17*k - 2*k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 290939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 29625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, r: 7, s: 6}. Give prob of sequence gs.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**2 + 1397115*x + 1397110 = 0. Calculate x.\nAnswer: -279422, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -158.4 (c) 0.1 (d) -1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.049 (b) 14 (c) 25 (d) -6 (e) 159\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -43.\nAnswer: -5\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5408 divided by -338\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27453 - -38617. List the prime factors of q.\nAnswer: 2, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsussrvslvlv. What is prob of sequence srv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -3. Let r = t + -0.6. Let h = -8 + 11. Which is the nearest to 0? (a) h (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 0*f**3 + 0*f + 0 + 29\/60*f**5 + 14*f**2 - 1\/4*f**4. Find the second derivative of o(r) wrt r.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhanaynnhnnyann. Give prob of picking 2 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181265024.\nAnswer: 2, 23, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12379200 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5*x)\/((x*x*x*(x*x**(6\/11))\/x)\/x)*(x**1\/x)**(-24) assuming x is positive.\nAnswer: x**(38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4981 divide 456372728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(-3 - 4 + 5)*(-35 - 3*p + 31 + p).\nAnswer: 12*p + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**2 - 16*g + 1. Let p be z(-11). Let r = p + -21. Suppose -19*w + 10*w + r = 0. Calculate the remainder when w is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18829*o**2 - 18707*o**2 - 50*o**2 - 53*o**2.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20010020 + -12?\nAnswer: -20010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*1\/(-2) + -7. Let p be 0 + i - (-84)\/12. Let s be p - ((-40)\/4 - -1). Calculate the greatest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 62317859 - 275*k**3 + 62317859.\nAnswer: -275*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6) - (-1 + (-44)\/168)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 14*h - 14. Let x(p) = 9*p - 9. Let q be (-4)\/3*27\/(-2). Suppose 0 = -3*m - 4*y + 23, -2*m - 4*y = -0*y - q. Calculate m*g(w) - 8*x(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-45) + 37\/9. Solve 4 = -4*s + 2*o, 7 - 15 = 2*s - k*o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + (271890\/(-703))\/(-9).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -287? (a) -3 (b) -114 (c) 1.66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r + 3. Let f be n(-1). Let o = 10 - f. Solve k + 13 = -g - o*k, -2*k = 4*g - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -12 (b) 1 (c) 3 (d) -95 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 966 not equal to 965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/((-2)\/3180) - 3\/(-3).\nAnswer: 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-80)\/(-12)*6 + -11. Which is smaller: 43 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -86*p - 1. Let d(o) = 4*o**2. Determine d(f(c)).\nAnswer: 29584*c**2 + 688*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((105\/(-60))\/((-833)\/(-2040)))\/(2\/63*-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -31323033?\nAnswer: 31323101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -7 (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*(f\/(f*f**(-19\/2)*f))\/f*f)\/f**23)\/(f**(-4\/7))**(-13) assuming f is positive.\nAnswer: f**(-279\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/4, -2468, 0, -81, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26694.9 and -88.\nAnswer: 26606.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46 - 4?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66\/10 + 6\/15. Suppose -4*m = -l*m. Suppose -2*s + m = -6. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 19 - 3 = -p, -3*l + 180 = 4*p. Suppose 64 + p = s. Suppose 6*k - 8*k + s = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27975.7 rounded to the nearest one hundred?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -39a4 + -169?\nAnswer: -3b51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 45 - 26 - 19.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18560)\/725*(-250)\/4. Calculate the greatest common divisor of r and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2 - 2 + 10*q - q**2 - 9*q. Let c be -2 - (-2)\/3 - 38\/(-6). What is v(c)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by 18.\nAnswer: -43\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -37*z**3 + 2*z**2 - 591*z + 2. Let v(h) = -17*h**3 + h**2 - 296*h + 1. Calculate -6*i(m) + 13*v(m).\nAnswer: m**3 + m**2 - 302*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 18515, -19?\nAnswer: 18515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 11 = -5*z + w, 4 = -4*w. Suppose 10*o = 6*o + 2*c + 86, -3*o - z*c + 51 = 0. Solve -x - 3*k + o = 0, 3*k + 5 = 4*k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -2\/11, 1\/4, 779?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/(3 + 7\/(-28)). Which is the fourth biggest value? (a) -2\/5 (b) 1\/2 (c) -1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5570363 to the nearest 100000.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w - 7. Let q = -6 + 11. Suppose 0 = p - x - 5, -2*x = -p - 0*x + q. What is the common denominator of v(p) and -31\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/9424 or -0.53?\nAnswer: 1\/9424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 9:54 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10265.01 - -10206. Let u = -59 - q. Which is the nearest to 0.1? (a) 4 (b) u (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 544*q**2 - 180*q + 60. List the prime factors of n(-5).\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -305 - 265?\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**5\/3 - 160*o**4\/3 + 905*o**3\/3 + 2090*o**2 + 900*o - 3240 = 0.\nAnswer: -3, -2, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (27639\/15355*5\/(-42))\/(2\/(8\/9))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*b + 8 = 0. Let a(f) be the second derivative of f - 1\/3*f**3 + 0*f**b + 3\/20*f**5 + 0*f**2 + 0. Find the second derivative of a(x) wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = 0, -5*n - 3*x = -7*n. What is the nearest to -2 in n, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*w + 47*w - 91 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -49116490 and -36985.\nAnswer: -49153475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvu when three letters picked without replacement from pehyuyuvuvyeyuy?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2. Suppose 0 = 4*f - 2*i - 0 - 4, -5*i + 20 = 0. Let o(w) = w - f*w + 0*w. Give o(p(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(1\/55))**(-5\/3) assuming t is positive.\nAnswer: t**(-109\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 17*g + 5. Let u(k) be the third derivative of 5*k**4\/2 + 3*k**3 + k**2 + 5. Determine 18*f(h) - 5*u(h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9\/319 (b) 2\/3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7348*i**4 - 116*i - 1310498?\nAnswer: 29392*i**3 - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (3 + -1 - 6). Let m be (4\/(-5))\/(y\/(-15)). Sort 1, 0, m.\nAnswer: 0, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.193 - 4.993. Which is the nearest to s? (a) 4 (b) -5 (c) 2 (d) -3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/((-45)\/(-675)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 10)*(4 + l - 5 + 0*l).\nAnswer: 7*l - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1840 - -1874 - (-19 - -2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/17 + 21\/68. Let u be 15\/(-21) + (0 - -1). Which is smaller: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 27425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*k - 5*j - 28 = 365*k, 13*j + 10 = 15*k + 14*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 e, and 1 y when four letters picked without replacement from {a: 1, e: 4, y: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, -5, 4\/5, 0.051, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1428014 and 50.\nAnswer: -71400700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4085919 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -70752, -70751, -70750, -70749, -70748, -70747?\n\"Answer: c - 70753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 5:00 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -158 - -167. Solve -6*h + 75 = b*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0741 and 0.3.\nAnswer: 0.02223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -75*w - 384. Determine k(-7).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by -24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 117, -6, -0.58 in descending order.\nAnswer: 117, -0.5, -0.58, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 134*d**2 - 3342*d + 426753. Calculate s(133).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64822696 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30, -105, -228, -399, -618?\n\"Answer: -24*z**2 - 3*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.054, -1, 1 in decreasing order.\nAnswer: 1, 0.054, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/16231160 and -117\/13958.\nAnswer: 113618120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdx when three letters picked without replacement from xxdddxxdxxxxxxxxxdx.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 597711\/8 + -74812. Let i = q + 88. Find the common denominator of i and 85\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24317514 and 1662736.\nAnswer: 194540112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 10. Let i be n(-7). Suppose 21 + 0 = 3*x. Suppose 2*w - x = b - 1, 0 = 3*w - 12. Solve -i*a = -a + b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 30 = 5*j, 0 = 5*j - 5*a - 5684 + 5674 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46700*v**4 + 21561 with respect to v.\nAnswer: -186800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -14*q**3 + 2*q**2 - q - 9. Let b be s(-4). Let d(j) = j + 938 + 5*j + 3*j**2 - b. Let u(p) = -p**2 + p. Let c(y) = -d(y) - 6*u(y). Factor c(v).\nAnswer: 3*(v - 5)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1563*v - 8692 = -3055*v + 1598*v for v.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5457\/5 - 41389\/35. Suppose -g - 27 = 3*s + 64, 5*s = 0. Let j = g - x. Sort j, 0.3, 0.5 in increasing order.\nAnswer: j, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -17*o**4\/12 + 5*o**3\/6 - 3*o**2\/2 + 843*o + 4. Let u(a) = -11*a**2 + 3*a - 2. Give 8*u(r) - 5*y(r).\nAnswer: -3*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 6. Let z be i(-4). Let d be ((-5)\/(-2))\/(1\/z). Suppose d*n + g + 0*g - 106 = 0, -60 = -2*n + 4*g. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 40 - 4 = 0. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25198 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5130190.8 - -1.85\nAnswer: 5130192.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 188 + 83 = 0. Calculate the highest common divisor of 10 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.6 and -24.\nAnswer: 326.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*q + 23*q + 4*h + 360, 175 = 2*q - 3*h. Does 41 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 546016 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3 + 7 = 0. Let u(d) = -7*d - 2. Let x be u(q). Solve -4*p = -0 + x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (4 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let z(v) = -5*v. Let j be 6\/2 + (7 - 16). Give j*z(l) - 26*f(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2, 0.09, 1, 6\/7, -5, -3, 222\/2149?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**2 - 3801*q - 3798 = 0.\nAnswer: -1266, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*p = -9520 + 8080 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*z + 14*z + 3443 = 0 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.209239 to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*g - 3*y, g - 2*g - 20 = 4*y. Solve 9*s - 34 - 11 = g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 163 - 48. Suppose 4*c = v + 432, 7*c - 2*v = 6*c + f. What are the prime factors of c?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15273919*o**5 + 21964054*o?\nAnswer: -305478380*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 2)*(3 - 1 + 0) + 1 + 1 - 3 + 26 + 28 + 26)*(3 - 3 + 2*b).\nAnswer: 154*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 5. Let t = -4.8 + i. Which is the biggest value? (a) t (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*-6*((sqrt(2450) - sqrt(2450)*1)*3 + 5))**2.\nAnswer: 3604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -309\/147071 + 1\/19288. What is the third smallest value in -5, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 15, 7, -27, -2\/13, 0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 5*t - 38 + 21, 5*p = -5*t - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135456 and 79968.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 0 - 162. Suppose 0 = -l - 2*l + r. Suppose -l = 4*h - 10. Is -3 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-56))\/(6\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 153\/2. Let y be (-6)\/3*5\/(-20). Let t be (-6)\/10*16\/48. What is the closest to i in t, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -922*u - 10985*u + 11906*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*y - 3, 0 = -0*y + 4*y + u - 1. Solve y*h = -2*h - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -128? (a) -2\/5 (b) -2\/9 (c) -7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r + 24. Suppose 0 = -3*y + 13 - 46. Let m be q(y). Let z = -52 + m. Let l(b) = 4*b - 6. Let f(v) = -4*v + 5. Give z*l(t) + 6*f(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2 + 4*o - 3. Let j be u(2). Let n = j - -10. Let d(s) = 7*s - 3. Is d(n) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**3\/2 + z**2\/2 - z. Give b(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15139473 divided by -3?\nAnswer: -5046491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 729078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82089 - -364648. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 35698\/(-4 - -6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*g**2 - 64848*g + 11*g**2 - 43*g**2 + 64848*g.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2. Let i(o) = -2*o**2 - o. Let h be ((-900)\/(-1200))\/((-3)\/16). What is h*a(d) + i(d)?\nAnswer: 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -56, -53, -50?\n\"Answer: 3*o - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 9*w**2 - 15*w + 7. Determine z(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -54. Suppose -o*r + 14 = 8. What is the greatest common factor of r and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 52. Let n = -45 - j. Let h = n + 30. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347919534.\nAnswer: 2, 3, 19328863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1338 divide 10760196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-97520)\/(-1696))\/((-5)\/(-2))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*f + 20 = 0. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10.2, -1, 2\/3, -1\/1617, 50?\nAnswer: -1\/1617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-83*b + 83*b + 2175*b**3 - 23492*b**3)*(-4 + 2 + 0)*(-2 + 2 + 1) to t + y*b + c*b**3 + l*b**2 and give c.\nAnswer: 42634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -7748919?\nAnswer: -7748917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 + 14.62. Let l = k + -15. What is the second biggest value in -3, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - 14. Let f be (-4)\/(-14) - y\/28. Let s be -5*(-51)\/f - (-8)\/16. Calculate the greatest common factor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 46*c - 47*c + 33, -4*b + 5*c + 30 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3\/8 (b) 15\/11 (c) -4 (d) -24\/41 (e) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12625*f**3 + 47730*f.\nAnswer: 75750*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -83 * 1077\nAnswer: -89391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133*f**3 - 133*f**3 + 18*f**4)*((4 - 2 - 3)*(-1 + 2 + 1) + 1 - 2 + 2 + (-4 + 2 + 3)*(-1 + 0 - 1) - 5 + 3 + 1).\nAnswer: -72*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48.8 + 49. Which is the closest to 1? (a) -3 (b) 1\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*c*d**4*k - 28*c*k + 3185*c - 347*d**2 - 2641*d*k + 385 wrt d.\nAnswer: 32*c*d**3*k - 694*d - 2641*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - 3*b)*(-34*b + 34*b + 16*b**3).\nAnswer: -48*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -385098.265.\nAnswer: -385098.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44118?\nAnswer: 2, 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1155\/198*(-81)\/15*2\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((485\/(-1164))\/(35\/(-3)))\/((72\/128)\/9)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -477 + 292.76. What is y rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/4600 and -11\/145680.\nAnswer: 16753200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/289 - -17589\/2312. Let v = -132 + 92. Calculate the common denominator of v and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237\/316*(-4)\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -13 (b) 4 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -69 - 1236. Let s be (0 - 1) + p\/9. Let t be (14\/(-5))\/(2\/(-10)). What is the greatest common divisor of s and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -15*f - 12*f + 28*f + 12. Calculate j(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.001 and -118.21?\nAnswer: 0.11821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h - 25 = 40*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -31. Let w(r) = 15 + l - r - 26. What is w(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 171061473, 171061488, 171061517, 171061566, 171061641, 171061748, 171061893?\n\"Answer: t**3 + t**2 + 5*t + 171061466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10975.50757 + -511.\nAnswer: -11486.50757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1475 and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 61925*f**3 - 13490*f**3 + 64.\nAnswer: 48435*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**6\/120 - 2*b**5\/15 + b**4\/8 + 11*b**3\/6 - 3*b**2. Let n be u(-8). Let r = 2 - n. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -501, -500, -499?\n\"Answer: g - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2004*f + 2008*f + 2010*f + 2004*f - 10035*f + 2008*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 6 = 5*a + 2*k, 2*a + 4*k = 32 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 1. Let q(p) = -2*p**2 - 2. Let z = 389 - 380. Suppose -46*s + z*s + 74 = 0. Determine s*q(b) + 6*x(b).\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 14450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 24*o + 9*o + (-2 + 6 + 1)*(o - 5*o - 2*o))*(-1 + 1 + 2).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 0*q**4 + 8*q**4 - 95*q**3 + 99*q**3 as y*q**2 + x*q**3 + v + n*q**4 + h*q and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 268408655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - ((-8)\/(-4) - -3). Let r be -1*6*3\/9. Let d be ((r - -7)\/45)\/1. What is the third biggest value in l, d, 6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slsnlcl. What is prob of picking 2 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*h + 178*h - 6691 + 1127 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 r when three letters picked without replacement from rrrrrrriiilyyrryyir.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 - 714\nAnswer: -714.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162136 is divided by 366.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 678 = 12*i. Suppose -13*n + 160 = -i. Calculate the highest common divisor of n and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59796019 divided by -14\nAnswer: -59796019\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 392 and 10404961.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*-2)\/sqrt(4))\/(sqrt(294) - sqrt(294)*-1).\nAnswer: -sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000106606792 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*i = -2*q + 58, 2*q + 4*i = -46. Are -32 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1392 and 35\/456.\nAnswer: 26448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18037 - -12267. What is y rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 920 + -857. Is 64 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 + -47. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 233*v + 692. Let s be c(-3). Let i(b) = 10*b**2 - 7*b - 1. Let l(z) = -9*z**2 + 6*z + 1. Calculate s*l(o) - 6*i(o).\nAnswer: 3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -23*n + 96. Give u(8).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -419.9 + 445. Let m = -27 + r. Let b = -2 - m. Is b smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1191*y**3 - y**2 - 8*y - 270255 wrt y.\nAnswer: -3573*y**2 - 2*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23 and -33\/74071?\nAnswer: 74071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rghh when four letters picked without replacement from {h: 3, j: 4, r: 3, p: 1, g: 8}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -133*x - 41. Suppose o - 15 = 4*o. Let h(d) = 199*d + 61. Let l(w) = o*h(w) - 7*v(w). What is the first derivative of l(p) wrt p?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217258193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 414 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52733 + -114544.\nAnswer: -61811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 143, -701, -1543, -2383, -3221?\n\"Answer: m**2 - 847*m + 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - a - 25, 2*m - 2 = -0*a + 2*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4162 + 4290. Which is bigger: p or 82?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 4*o - 12*o)*(2 - 2 - o)*(0 + 3 + 0).\nAnswer: 51*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 5*v - 16, 16 = -4*v - 0*v. Let -j*p**3 - 4*p**2 - 11*p**3 - 2*p**3 - 28*p**4 = 0. What is p?\nAnswer: -1\/2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301232 (base 5) to base 7\nAnswer: 36615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94705388*j*y**3 + 17*j*y**2 + 84381*y wrt y?\nAnswer: -568232328*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d05 - -c6?\nAnswer: dcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/4, -0.3, -9\/7, 1\/59, 0.1073?\nAnswer: 0.1073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6}. What is prob of picking 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1992*z. Let a(c) = 1322 - 2*c - 3953 + 1314 + 1317. Give s(a(y)).\nAnswer: 3984*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(153) + 3)**2.\nAnswer: 18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/191259 and 17\/10.\nAnswer: 1912590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-46)\/(-161) - 66\/(-14). Suppose -z*j = -3*j. Sort -4, -2, j in ascending order.\nAnswer: -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, d: 2, u: 2, e: 1, g: 2, k: 1}. What is prob of picking 3 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 16) to base 5\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 436*p**4 + 9*p**3 - 13*p + 311. Let d(q) = 110*q**4 + 2*q**3 - 3*q + 78. Let b(z) = 18*d(z) - 4*s(z). What is the second derivative of b(t) wrt t?\nAnswer: 2832*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1146 > -1146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + (1 + -3 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48331 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -16. Suppose -r*k + 4792 = -l, k - l - 962 = -2*l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, -13, 4184, -1, 5, -2 in decreasing order.\nAnswer: 4184, 101, 5, -1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -62130, -248562, -559292, -994320, -1553646, -2237270?\n\"Answer: -62149*n**2 + 15*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/105*27\/48\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7318497*t + 2504*t**2 - 7318497*t)*(-t**2 - 6*t + 6*t) to p*t + v*t**2 + l + w*t**3 + c*t**4 and give c.\nAnswer: -2504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38272 is divided by 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.4529 and -215.\nAnswer: -2677.3735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k + 20\/3 + 1\/3*k**2 = 0?\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-14))\/(10\/35). Solve 3*y + 17 = 5*m, 2*y = 3*m - 7 - s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*((-5 + sqrt(1900))*2 + 4*sqrt(1900)*4) + -2)**2.\nAnswer: -22164736 + 120960*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x**3\/5 - 39*x**2\/5 - 11*x\/5 + 6\/5 = 0. What is x?\nAnswer: -1\/2, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 121486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -30.4, -1\/3, -18290, -0.5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 810 and 1466070?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -805432\nAnswer: 3\/805432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 34187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**6\/120 + o**5\/15 + o**4\/12 + 204*o**3 - 2*o**2 + 85*o. Is q(0) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 1215 = a. Let f be ((-813)\/(-18) + (-8)\/48)*1. Calculate the highest common factor of a and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2546 + -3?\nAnswer: -2551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - j - 86, 5*b = -j - 0*j - 215. Let v = 74 + b. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10796*u - 4700*u - 6094*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*(0 + 4\/(-8)). Suppose 5*g - 5*z - 88129551 = -2*z, d*g + 3*z - 70503630 = 0. Suppose -11174091 = 4*u + g. Round u to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625094577.\nAnswer: 3, 683, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(2 + (sqrt(11) + 1)*-1) - (-5*sqrt(121)*-2)\/(sqrt(99)*1)) + 5 + -5)**2.\nAnswer: 2*sqrt(11) + 92\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {v: 1, e: 1, o: 2, w: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-24)*((-1600)\/(-3))\/(-100)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9677 is divided by 3657.\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 3*a + 79. Give q(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 21*u - 1214. Let y be p(58). Suppose 2*n - 14 = -2*t, -t = -4*n + 2*t + 14. Solve n*b - 7 = -d, 3*d + b + y = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0.04, -0.7, 1\/7, 70 in ascending order.\nAnswer: -0.7, 0.04, 1\/7, 18, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a*(a**35\/a)\/a)\/a)*(a**47*a)\/a assuming a is positive.\nAnswer: a**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 40 + 6*u - 22 + 51.\nAnswer: 6*u - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102111112 (base 4) to base 7.\nAnswer: 431635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -487.88 - -488.86855. What is q rounded to 2 decimal places?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 249a565?\nAnswer: 249a568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/(-6) + 2\/(-3). Suppose a*k - 12 = 3*o, -2*k = -0*o - o - 4. Solve -2*v + 4*w + 22 = k, w + 9 = 2*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -17. What is the third derivative of -5*w**2 + o*w**2 + 8*w - 8*w - 3*w**6 wrt w?\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((-10)\/100).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31895998 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 + 19*k**2 - 9*k - 6. Give n(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5\/2 (b) 0.5 (c) 10 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98177.24 millennia to decades.\nAnswer: 9817724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 a when three letters picked without replacement from {a: 5, o: 1, f: 1, s: 2, k: 3, y: 1}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -445 - 844*p**3 - 686 - 582*p**3 + 193 - 327 wrt p?\nAnswer: -4278*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 9*((-30)\/9 + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.98996l?\nAnswer: 3989.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 298.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081614107.\nAnswer: 7, 2237, 69073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -190 + 198. Suppose -u*v + 671 = -1473. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 8*m**2 + 17*m + 11. Let r = -103 + 92. What are the prime factors of l(r)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.2 - -30. Let k = w + -5. Which is the third biggest value? (a) -4 (b) k (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f + 3. Let i(t) = 2*t + 1. Let x(s) = 7*i(s) - 3*z(s). Let q be x(-3). Put 0, q, 3 in decreasing order.\nAnswer: 3, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/3 - 4*o**2 + 10*o - 16\/3.\nAnswer: -2*(o - 1)**2*(o + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -192*m*v*y**2 + 63*m*v*y + 9653*m*y**2 - 2*m*y - v*y**2 - 4*y - 1 wrt v.\nAnswer: -192*m*y**2 + 63*m*y - y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqvqclclcqcbwllcvv. Give prob of picking 1 v, 2 q, and 1 c.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 7 + 29*y**2 + 22*y**2 - 5 + 5 + 2*y**2 + (5*y - 61 + 61)*(1 + y - 1) to s + t*y + o*y**2 and give o.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -280633\/60 + 70177\/15. Factor x*q - q**2 - 1\/2 + 1\/4*q**3.\nAnswer: (q - 2)*(q - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 16*c**2 + c - 18. Let v be z(16). What is the tens digit of (-1254)\/(-18) + v\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2254049, -2254048, -2254047?\n\"Answer: c - 2254050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81*u**3 - 589*u?\nAnswer: 486*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 6940 = 6932. Let t = -56 - -56. Solve s = 3*i + m, -s + 5 = i - t*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.84486 weeks to minutes.\nAnswer: 220196.1888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 93009 - 13717880\nAnswer: -13624871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by 188.\nAnswer: 11\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 4*i - 5*q, -3*q + 8*q = -i + 9. Let x be (2\/4 + -1)*i. Let v(p) = 26*p**2 + x - 3 - 25*p**2. Let j(l) = l. Calculate j(v(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -195\/4*c + 3\/8*c**2 + 12675\/8 = 0. What is c?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*u + 174*u = -5*s + 941, s = 3*u + 199. Calculate the remainder when 5114 is divided by s.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*v - 2*w, 4*v - 4*w - 69 = -3*w. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*l*m**2 + 4*l*m - l - 22*m wrt m.\nAnswer: 272*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-1 - 0)\/((-2)\/336)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70\/29 or -9?\nAnswer: 70\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rym when three letters picked without replacement from ymmkrkmm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 36 - 60. Solve f = x + 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from vvlvkvddhklq.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mavm when four letters picked without replacement from {p: 2, v: 1, a: 2, m: 2, o: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85479690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*t = 1342, 5*q + 2*t - 4*t = 1336. Calculate the remainder when q is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/942 and -55\/1256?\nAnswer: 3768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2. Let c(h) = 3*h**2. Let s be (-2)\/(-2 - (-10)\/4). Let t be -1 - (-8 - (-3 - s)). Let b(u) = t*c(u) + 5*g(u). Let l(d) = 2*d. What is l(b(k))?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*v**2 + 0*v**2 - 5*v**2)*(-v - 5*v + 4*v) - v**3 + 3 + 2*v**3 - 2)*(-38*v + 2*v**2 + 30*v - 3*v**2).\nAnswer: -7*v**5 - 56*v**4 - v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 3*w - 2742 = -2724, -4*w = -19*v - 49 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23242 - 223?\nAnswer: -24020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*z)*(-57 + 102 - 93) + 0*z + 2*z + 0*z + (-5 + 3 + 3)*(-6*z - 4*z + 2*z) to v + q*z and give q.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-532)\/((6 - 8)\/1). Find the second derivative of -102*b + 28 - s*b**2 - 4*b**3 + 287*b**2 - 28 wrt b.\nAnswer: -24*b + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247855 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*x**3 + 1416*x**2\/5 + 2138*x\/15 + 4\/15 = 0.\nAnswer: -1\/3, -2\/1065, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1*(-166)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280\/2750 - 8\/(-6)*273\/(-2002)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**5 - 24267*b**4\/2 - 60633*b**3\/2 - 12111*b**2\/2 + 60639*b\/2 + 18189 = 0?\nAnswer: -4042, -3\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1849435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 + 88*n + 12. Let f be g(44). Suppose -3*b - f = -3*o, -4*o + 12 = -0*o. Is b less than -2\/539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2053 + -2051. Suppose 0 = -8*u + 3*u + 4*b + 156, -5*u - 4*b + 124 = 0. Let h be 7\/u - 23\/28. Which is bigger: f or h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3156, 6309, 9462?\n\"Answer: 3153*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 1505?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -41\/63, -3, 3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 3*f - 6. Let p be c(-5). Suppose 0 = -2*u - p + 10. Factor 2*n**3 - 109*n**2 + 1 - 6*n + u + 109*n**2.\nAnswer: 2*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197, 182, 161, 134, 101?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 u when three letters picked without replacement from xucquxqquuuqcqc.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -331 - -285.69. Let o = -46 - h. Let x = 0.69051 + o. What is x rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n + 9. Let s be i(-5). Suppose 0*m + 17 = 5*m + x, 3*m - 4*x = s. Suppose -3*d = -4*q + 15, -9*d + m*d = q - 21. Solve 0 = -4*j - 2 + q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5687.1 - -5687. What is the second smallest value in -1\/4, -0.3, 0.12, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*b + 2*d - 121722, -2*d - 60855 = -b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31447999*d**3 - 7462068*d wrt d?\nAnswer: 188687994*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44612 - -4?\nAnswer: 44616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (21 + -17 + (-3 + 6 - 2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y - 3. Let a be c(-3). Suppose 2 = a*t - 5*t. Is t smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -37. Suppose -3*v = -4*y - 6*v + 62, 4*y - 5*v = 78. Let o(b) = -11*b**2 - y*b**2 - b**3 + 12 + 39*b**2 - 11*b. Calculate o(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvgg. Give prob of sequence gg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -4, 1, 5, -1, -16 in ascending order.\nAnswer: -16, -4, -1, 1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27871715 - 27871669.1002848. Let i = 45.9 - j. What is i rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -1\/5, -7632 in increasing order.\nAnswer: -7632, -29, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1. Which is the nearest to r? (a) 2\/5 (b) 1\/3 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -58, 39, 214?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -212191 by -766.\nAnswer: 212191\/766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 279075896 > 279075896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 3*k = 0. Suppose -4*u + 5*c = u - 35, -5*u - c + 5 = k. Suppose u*g = -3*g + 95. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -c92c?\nAnswer: c92c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 6. Suppose -3 = b - 11. Let h be (-6)\/(-1 + 3)*1. Let g(i) be the first derivative of -i**2\/2 - 2*i + 2. Give b*g(p) + h*x(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2328 or -2136?\nAnswer: -2136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 1, -2265 in descending order.\nAnswer: 1, -26, -2265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541024 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 10*j - 14. Let f be k(-7). Let n(g) = -2*g**2 + 14*g**2 + f*g**2. Let s(c) = c. What is n(s(r))?\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/154 + 1404\/22. Suppose -t = -h - h. What is the common denominator of ((-6)\/h)\/((-2)\/(-24)) and 13\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*l + 6*l + 468. Let j = 14 + -2. Let q = j - 2. What is the remainder when l is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -8059791?\nAnswer: -1\/2686597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2. Let l(m) be the second derivative of -7*m**3\/6 + 6*m. Calculate r(l(i)).\nAnswer: 49*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44945258545 + -44945258752.99999677. Let m = 267 - 59. Let v = l + m. Round v to 7 dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3950.344 millennia?\nAnswer: 395034.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/2 - (4110\/306 - 15). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387902 is divided by 10199?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*u**3 - 188*u**3 + 96*u**3 + 43*u**2 + 61*u - 1 - 45*u**2 as v + f*u**3 + o*u + t*u**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8901977 is divided by 684764.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(240)\/(sqrt(60)\/sqrt(216)))\/((-2*sqrt(768) - sqrt(768))*6)*-5)**2.\nAnswer: -839\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(1573) + sqrt(1573) + sqrt(1573) + 1)**2 + sqrt(1573))*2*6.\nAnswer: 4884*sqrt(13) + 170316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-153)\/(-6) + (-3)\/6. Suppose -q - 30 = -11*v. Let d(p) = -8*p - 2. Let k(z) = -9*z - 2. Give v*k(u) - 6*d(u).\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -13*v - 6. Let m(r) = 90*r + 40. Let b(d) = -20*i(d) - 3*m(d). Let h(l) = 4*l**2. Give b(h(j)).\nAnswer: -40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 32, 72, 128, 200, 288, 392?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 r when three letters picked without replacement from rroororrrrrr.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*p + 4 + 18 + 14 wrt p?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-21)\/c)\/c*c**(3\/10))\/(c**(-2\/7))**(-36) assuming c is positive.\nAnswer: c**(-2309\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8648 rounded to the nearest one hundred?\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/19))**(-8) assuming h is positive.\nAnswer: h**(-168\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 + 81*h - 469. Let x be u(7). Suppose -i + 2*i - 1 = 0. Let v = -2 - i. Which is the closest to -1? (a) v (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/9 + 2878*b\/9 + 6748\/3 = 0.\nAnswer: -7, 1446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058*14 - -30*(-17)\/102 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 0, 3, 10787, -3, -0.3.\nAnswer: -3, -4\/3, -0.3, 0, 3, 10787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113691 is divided by 655.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + (8 - 8) - (5 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 16) in base 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91002400 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 17. Is 108\/s*(-4 + 656\/12) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**2. Let o(y) = 47*y**2 + 17*y - 34. Let x(a) = -6*a**2 - 2*a + 4. Let h(i) = 6*o(i) + 51*x(i). Calculate h(k(b)).\nAnswer: -864*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 17*h = 139, 2320*m + h + 61 = 2317*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 215 + -214.7. Which is the third biggest value? (a) -2\/11 (b) 1\/4 (c) 4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -26*x + 292. Calculate v(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(616)\/(sqrt(44)\/sqrt(16)))\/(-4*(sqrt(968) - (sqrt(968) - sqrt(968)*2))).\nAnswer: -sqrt(7)\/44 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 26*o**2 - 117*o + 599. Determine c(22).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - (0 - (38 + -8))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (6950 + -3)\/(4 + -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 399048553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2827\/234 + 217\/13. What is the common denominator of ((-1)\/28)\/((-3)\/(-6)) and a?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 892.4217 hours in days?\nAnswer: 37.1842375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, z: 2, f: 6, n: 4}. Give prob of picking 1 f, 1 h, and 1 z.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/55 in 4, 1\/6, -0.5, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 510*s + 2 + 193*s + 106*s.\nAnswer: 809*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 23064.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 16 = 0, 16 = -2*h - u + 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p + 3. Let x be u(3). Let q be (-40 - -1)*2\/x. Let r = q + -10. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -680, -4547, -14254, -32459, -61820, -104995, -164642?\nAnswer: -243419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5 - 6 = 0. Let o be 34\/10 - (-2)\/(-5). Suppose o = h - x. Solve 4*l - h*a = 7 + 5, -2*l + 6 = -a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0419826 + 0.042. What is q rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 860 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4, -2*d - 3*f + 11 = -92. Calculate the highest common divisor of d and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(2407\/(-812) - -3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*k + 20*k**2 - 47*k - 332*k**2 in the form x*k**2 + a*k + f and give x.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**4 - 77*r - 110*r + 0*r**4 + (1 - 5 + 2)*(r**4 + 5*r**4 - 4*r**4) in the form v*r**3 + g*r**4 + q*r**2 + h*r + t and give h.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c - 2*h + 5 = 0, 5*h - 10 = -2*c. Suppose c*r = 6*r - 18. Calculate the highest common divisor of r and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-11 - -3) + 14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v - 43. Let m(k) be the first derivative of -k**2 + 22*k + 464. Calculate 3*d(i) + 5*m(i).\nAnswer: -i - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 566869801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (458 - 446) + 21 + -1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3450 + -3386. Let u = 13 + 3. What is the highest common factor of o and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7*1 + 15*(-10)\/50. Solve -2*k - 7 = -3*m, 3*k = -m + v + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 5*c - 2. Let b be o(-3). Suppose 185 = i + b*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + r**2 + 19*r - 34. Let v = -4313 - -4317. Give i(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -428279 - -428278.99799487. Round k to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2 = -17*g + 18*g, 0 = -4*o + 2*g - 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 3*g + 1. Let y be s(3). What is the units digit of (15\/10)\/(y\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 604122 from 6.2.\nAnswer: -604115.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 224, 2, 0.09?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3\/6 - 8*q**2 = 0.\nAnswer: 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7144 and 47.\nAnswer: 7144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s. Let k(x) = -6*x**2 - 1879355. Calculate k(l(o)).\nAnswer: -54*o**2 - 1879355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + k + 1. Let p(a) = 0 + 325*a - 328*a - 5 - 1 + 4 - 3*a**2. Let v(d) = -d**2 - 3*d. Let o be v(-4). Calculate o*b(l) - p(l).\nAnswer: -l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 380\/(-4292)*-1 + -5*14\/1295.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 43, 82, 121, 160?\n\"Answer: 39*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) 0.03 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.997042 plus -272057?\nAnswer: -272063.997042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 1. Let m be w(-1). Let l = m + -1. Which is the nearest to l? (a) -0.1 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2580 or -2\/317?\nAnswer: -2\/317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 302643203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24005 or 96019\/4?\nAnswer: 96019\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -388, -19505 in increasing order.\nAnswer: -19505, -388, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33, -61, -85, -105, -121?\n\"Answer: 2*p**2 - 34*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Suppose -b - 3*b + 16 = g, -g - o = -2*b. Let j(h) = h**2 + 8*h + 10. What is the remainder when j(-8) is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1115.58865 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -422 + 619. Suppose -u + 346 = -p. What are the prime factors of u?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from iusgijuh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from rmu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3*3959.01\nAnswer: 11877.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -234*p**3 - 4*p**2 - 3*p - 8. Let o(k) = k**3 + k**2 + k + 2. What is -n(y) - 4*o(y)?\nAnswer: 230*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -1 (b) -6 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -37\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p - 3*i - 2, -p - 6 = 2*i. Calculate the common denominator of 35\/8 and 89\/(-8) + p\/((-8)\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy ninths of a week?\nAnswer: 78400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3) - 22\/42. Let j = 17046\/13 + -85204\/65. What is the nearest to -0.02 in j, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80635850 rounded to the nearest 1000000?\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**7\/(m**(-2\/29)*m*m\/((m*m**(2\/7)\/m)\/m)))**(-2\/11) assuming m is positive.\nAnswer: m**(356\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.7 + 13.3. Let n(l) = l**3 + 6*l**2 - 7*l + 1. Let o be n(-7). Let h be 0*o\/2 + 0. Which is the biggest value? (a) h (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 22. Let h be 4 + ((-1288)\/(-22) - q). Let d = h + -63. Is 2 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*u + 232*u - 15177 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3819*b**3\/8 - 5089*b**2\/4 + 1269*b\/2 + 1 = 0.\nAnswer: -2\/1273, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1008) - (-2 + sqrt(1008))) + sqrt(1008) - 1*sqrt(1008)*6)**2.\nAnswer: 120*sqrt(7) + 25201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 13 = u, 2*u - 5*r = -0*u - 7. Suppose -u*v + 9*v - 80 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3039*k**3 - 5392*k**3 - 377*k**3 + 1928*k**3.\nAnswer: -6880*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 15724548*o + 4 + 4 - 4 - 15724533*o - 9.\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20752903 and 332046448?\nAnswer: 332046448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 417 - 309*d - 838 - 906*d + 421 to the form o + y*d and give y.\nAnswer: -1215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:37 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-147))\/(18\/(-14))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -3) + (-9 + 2 - (-9 + 69)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**3\/3 + v**2 - 3*v + 1. Let i(j) = -j - 7. Let b be i(-3). Let t be p(b). Solve 3*d = t*d + 4*a - 12, d + 29 = 5*a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u + 9. Give z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41233230 divided by 2748882.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4979206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1780695 and 210.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 279\/4 + (12\/16)\/(-1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3\/5, -1.22, 1\/2, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/13)\/v)\/v*v*v*v**(-1\/12))\/(v**(2\/7)*(v**(2\/25)\/v*v)\/v) assuming v is positive.\nAnswer: v**(19241\/27300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*w + 2464 = 58*w - 61*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 622 = -4*x, 4*g = 3*x + g - 471. Suppose 13515 - 1223 = 975*c + 592. Solve -x*f + 151*f + c = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 649.6815l to millilitres.\nAnswer: 649681.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 + 22?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = w - 2*v - 5, w - 4*v + 31 = 0. Let t = w - -73\/5. Suppose -23 = -4*k - 3. Which is the nearest to t? (a) 0 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 786443?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -5, 115, 164, 2 in descending order.\nAnswer: 164, 115, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1495\/(-780) + (-20)\/6)*-20?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -254 + 262. What is the greatest common factor of 328 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-66)\/10)\/11)\/((-1)\/5). List the prime factors of 1 + 950\/f + 44\/33.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Suppose -3*p = -5*q + 4, 3*q - 2*p - 8 = -3*p. Let z(u) = 2*u + 12. Let n be z(-3). Solve c = k + n, x*k + 9 = c - q*k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112101 - 1011?\nAnswer: -2120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 4*o**3\/3 - 16*o - 3. Find b such that y(b) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4171 (b) 0.3 (c) 12\/5 (d) -1\/4 (e) -2\/9 (f) 16 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(143)*2 + sqrt(143))\/sqrt(11) + (sqrt(13) - (sqrt(13) + -1))*-5 + (4 + (sqrt(13) - (sqrt(1573) - (1 + sqrt(1573)) - sqrt(1573))))**2.\nAnswer: 123*sqrt(13) + 1887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5728 equal to 5724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5766*d**3*u - 7*d**3 + 2*d**2*u - 45*d**2 - d*u + 2*d + 38*u wrt d.\nAnswer: 34596*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 30*n - 33*n. Suppose -5*v + 2*k = 89, -v - k - 2*k = 11. Is v less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 1 (c) -0.8 (d) -0.5 (e) 0.164 (f) -402 (g) 0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1783 is divided by 513?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24741?\nAnswer: 3, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27 + -24 + (-14)\/2. Put -19, f, -1 in ascending order.\nAnswer: -19, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74644466?\nAnswer: 2, 13, 31, 37, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1180.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 5, 0.2, 4 in decreasing order.\nAnswer: 27, 5, 4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 24359 = -5*b, -247*b - 24394 = -3*n - 245*b. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 2. Let b be i(-2). Suppose -14*s = -19*s + 30. What is the third derivative of b*r**4 + 4*r**2 - r**4 - s*r**2 wrt r?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 6*f**2 - 17*f + 60. What is m(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 6. Suppose -5*q + 18 = -o*q. What is the greatest common factor of q and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1359661 is divided by 271930.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, d: 2, l: 1, p: 3, n: 2}. Give prob of picking 1 p, 1 d, and 1 k.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 6 = v - 3, 0 = 4*v + 4*z - 36. Put 1, v, -1, 38 in descending order.\nAnswer: 38, v, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -138 + 138. Suppose w = 3*z - m - 214, -m + 136 = 2*z - 3*m. What is the remainder when z is divided by 2\/6 + (-112)\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/(sqrt(250)*-3))\/(sqrt(9) - sqrt(36)\/sqrt(4)*4 - sqrt(9) - ((2*sqrt(27))\/sqrt(3) - sqrt(9))))**2.\nAnswer: 1\/1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 75. Let n = -46 + b. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66012539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 2175134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) 5\/8 (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**2. Let x(d) = d**2 - 2*d + 72135. What is x(l(t))?\nAnswer: 36*t**4 - 12*t**2 + 72135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16354 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 1294, 4324, 10214, 19918?\nAnswer: 34390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40804737 and 1311.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 9:13 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1198325 is divided by 38621.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 5*k**4\/24 - 4*k**3\/3 - k**2. Let s(n) = -9*n + 15. Give 6*s(v) + 11*t(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1185*s = -11028 + 5369 - 7376 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 881000 to the nearest ten thousand.\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 203369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 7019*b**6\/120 - 9*b**5\/10 - b**4\/3 + 2757*b**2 - 2*b. Find the third derivative of c(g) wrt g.\nAnswer: 42114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 = -5*p - 375. Let r(b) = -b**2 + 6*b + 4. Let o be r(6). Put -5, o, p in ascending order.\nAnswer: -5, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by 2.\nAnswer: 79\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = -0, -4*a = 2*v - 160. Let p be a*1*2\/4. Solve -g + 5*d + 6 = p, 4*g - 4*d = -20 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7779132651 and 591?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 275797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 1118?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 3*m**3 + 4*m**3 - 8*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52469*o**2 + 3 - 3 - 52474*o**2 - 12832*o.\nAnswer: -5*o**2 - 12832*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117670 is divided by 39222.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/3)\/((-3)\/369) - 0 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r + r)*(1 - 3 + 3) + r + r - 4*r + (4 + 1 - 3)*(-r + 2 - 2).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-6 + sqrt(136) + sqrt(136) + sqrt(136) + sqrt(136))*-2)\/sqrt(8).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 59*u + 27 = -233 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54471517819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -117 + 1349?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/(5453\/76)*((-16)\/112)\/((-20)\/(-7))?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 428093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 4238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - 2. Let w be (c\/8)\/(6\/8). Let v = -2 - w. Solve v = -d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-6)\/((-42)\/(-14) + -1))*6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**3*v**3 - 119400*k**3*v**2 + 33*k**2*v**3 + 128*k*v**3 - 5*v**2 wrt k?\nAnswer: 12*v**3 - 716400*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -7*q + 4*a + 7, 4*a = 4*q - 8. Let o = 23 + -45\/2. Which is bigger: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32179762?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86081354 is divided by 54?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h**3 + 8*h**2 + 20*h - 2. Let d be w(-6). What is the third derivative of -230*x**5 + 184*x**2 + 1163*x**3 + 1163*x**3 - d*x**3 wrt x?\nAnswer: -13800*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 less than 2570320776656?\nAnswer: 2570320776721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -7*s**2 - 1\/60*s**5 - 49\/6*s**3 + 0*s + 0 + 7\/12*s**4. Find a, given that h(a) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*p + 62 = 0, w - 3*w = -p + 25. Let d = 6\/307 + -25541\/3070. What is the common denominator of (6\/14)\/(3\/w) and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294882587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/5))\/((j**(-6)\/j)\/j))**(-5\/6)*((j**(1\/3))**(-37))**9 assuming j is positive.\nAnswer: j**(-709\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + 0 + 0 + 5 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1358514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 444\nAnswer: 5\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130032 + 23?\nAnswer: -130003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 13*b - 1720. Let c(i) = -8*i + 860. Calculate 5*c(h) + 3*w(h).\nAnswer: -h - 860","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-2*y - 4*y + 5*y)*(5*y - 9*y + 9*y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -408, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7109643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317646 is divided by 137?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**2 - 425*w + 35620 = 0.\nAnswer: -137, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -117*v**4 - 17821*v**3 - 39316353*v**2 wrt v.\nAnswer: -2808*v - 106926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 9*t**2 - 9*t - 5. Let u be s(-8). Suppose -u*m = -23 - 52. Calculate the remainder when (9\/2)\/(15\/160) is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 10. Let l(t) = -t**2 - 5*t - 3. Let n be l(-5). Let a = 2 - n. Solve 5*j = a*u + 25, -4*j + q*u = 4*u - 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2741317*t**3 - 603*t**2 - 502*t wrt t.\nAnswer: -16447902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - -13d?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 20, 8 in descending order.\nAnswer: 20, 8, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1798438.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 45*x**2. Let i(v) = v**2 + 2. Let h(k) = -3*k**2 - 3. Let b(f) = 2*h(f) + 3*i(f). Calculate b(g(s)).\nAnswer: -6075*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1756484646?\nAnswer: 2, 3, 7, 37, 1130299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 646.8775 micrograms in milligrams?\nAnswer: 0.6468775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2 + sqrt(187)\/(-1*sqrt(11)) + sqrt(85)\/sqrt(5)*3*5)*4 + -3)**2.\nAnswer: -2464*sqrt(17) + 106866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1323961 from 14.1.\nAnswer: 14.2323961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 180 = 26*d. Solve 78*q + d = 72*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*q + 48, -2*r + r - 4 = 5*q. Let f = -8 + r. Calculate the least common multiple of 10 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 4*k - 12, 2*z - 25 = -3*z - 5*k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*c - 8, -2*x + 12*c + 12 = 14*c. Suppose 2*u - 5*v = -16, 2*u = -0*u - x*v + 2. Sort -2, 77, u in decreasing order.\nAnswer: 77, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + 43916.67672.\nAnswer: 43849.67672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgaalg. Give prob of picking 1 w and 1 g.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = -192*p + 209*p. Suppose -5*y - p*y + 31710 = 0. What are the prime factors of y?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 4211 + 0*a**3 + 4209 + a + 2*a**2. Let w be r(-1). Is 1\/63 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(180) - (sqrt(180)*2 + -1 + sqrt(180)) - ((2*sqrt(180) - sqrt(180)) + -2 + sqrt(180)))**2.\nAnswer: -14445 + 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -20 - 10 - (-3 + 1 + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**4\/7 - 112*l**3 - 2334*l**2\/7 + 8*l\/7 + 3112\/7 = 0?\nAnswer: -389, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.103 - 0.1534. Let l = -0.36 - -0.306. Let c = p - l. What is c rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/10 and 115\/6328194.\nAnswer: 31640970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17)\/(-204)*(132\/18 - 4). What is the closest to 1 in k, -1\/7, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27405031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -671*s**2 - 23*s. Let h(u) = -15*u + 5. Calculate h(r(d)).\nAnswer: 10065*d**2 + 345*d + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y + 3. Let g = -4 - -1. Suppose 4 + 8 = 3*f. Let t(d) be the first derivative of -2*d**2 + 2*d - 13. Calculate f*t(x) + g*h(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 9*t**2 - 8*t - 14. Let n be g(10). Let q = n + -6. Solve -5 = j, q*c - 4*c + 31 = -3*j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 258, 6, 8, 0 in descending order.\nAnswer: 258, 8, 6, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2233, 2234, 2235, 2236, 2237?\n\"Answer: s + 2232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 19*v - 46. Let p be u(-16). Solve -p*z = 4 - 14 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 14*z + 17. Let u be n(-15). Find the second derivative of 8*d - 4*d + 7*d**u - 7*d - 141*d**2 wrt d.\nAnswer: -268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a3ce (base 16) in base 4?\nAnswer: 22033032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 2. Suppose -4*q + 20 = q. Let a be 32\/6*6\/q. Let s = 5 - a. Determine j(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(0 + 3)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 31*d**3 - 7*d - 7. Let m(a) = 10*a**3 - 2*a - 2. What is -7*m(s) + 2*y(s)?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/15, -56, -21, -4, 695?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -301.9 - -302.05. Let v = 2.9 - -0.1. What is the third biggest value in 0, v, s, 3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 18*c**2 + 1084*c + 7536. Give q(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1134286, -1134277, -1134256, -1134217, -1134154, -1134061?\nAnswer: -1133932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 87 + 49*l**3 - 169 - 2*l**2.\nAnswer: 49*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7700?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i. Let u(o) = -3*o - 3. Let w be (11 - -1) + -9 + (-7 - -10). Give w*d(n) + u(n).\nAnswer: 3*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -3*f**5\/10 - 9*f**2\/2 + 4. Let h(q) be the second derivative of k(q). Let w(g) = -g**2. Determine h(w(x)).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000194338 rounded to 7 decimal places?\nAnswer: 0.0000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 11*v + 2 + 4*v + 0*v + 29*v in the form b + a*v and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i*i**0*i*i)*i)\/(i*i*i\/(i**8*i*i*i)*i))\/(i*(i*i*i\/(i**(-9)*i)*i)\/i*i\/((i*i**(-1\/4))\/i*i)) assuming i is positive.\nAnswer: i**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -5. Let a(i) = -i**3 - 3*i**2 - 2*i + 3. What is the units digit of a(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38244267 is divided by 23666.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -453.\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -12*w**2 - w + 2. What is k(-2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87784792 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 3\/3*-6. Suppose -j + t*j - 20 = 0. Suppose 123 = 70*o - 17. Solve -4*b + 7 = y + o*y, -4*b + 17 = j*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*a = 3*d + 24, -4*a - 8 = -2*d. Let t(l) = l**3 + 8*l**2 + 5*l + 5. Calculate the remainder when t(-7) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0, 2\/9, -3, -0.02 in increasing order.\nAnswer: -19, -3, -0.02, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4 - (2 + -5) - 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 3, -52 in descending order.\nAnswer: 4, 3, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 6*p**2 + 2*p**2)*(-1 - 1 + 9).\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0. Let l = -57.2 - -52. Let z = 5 + l. What is the nearest to r in z, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (20 - 7) - -16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 + -76. Let t = 12 - l. Let i = 25.67 + t. What is i rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2\/5 - 237*f\/5 - 996\/5 = 0 for f.\nAnswer: -4, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 836*k. Let q(r) = 28*r**2. Give q(m(v)).\nAnswer: 19569088*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -12, -30, -56, -90, -132, -182?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8122 and 550986?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3*d + 6 = 11, -n + 2 = 3*d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000125 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/123, -1, 2, 4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 3:50 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -480917 from -51.\nAnswer: 480866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 9*b**2 - 18*b. Let g(v) = 8*v**2 - 21*v. Suppose 0 = 2*i + 2*m - 4*m + 4, -3*i - 2*m = 16. Let a(w) = i*g(w) + 3*n(w). What is q in a(q) = 0?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2. Let u(q) be the third derivative of -q**8\/2520 + q**5\/60 + 3*q**2. Let y(k) be the third derivative of u(k). Determine y(r(j)).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45378517, -45378518, -45378519, -45378520, -45378521, -45378522?\nAnswer: -45378523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27 + 2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, e: 2}. Give prob of sequence eer.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 628*d - 624. Let j be f(1). Let v = 94 - 54. Solve -s = 4*s + 5*r - v, 0 = j*s - 4*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:12 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/5 - 48*v**3\/5 + 244*v**2\/5 + 6384*v\/5 - 35378\/5 = 0.\nAnswer: -19, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 1\/6, 2\/7, 2\/270463, 0.7, 1?\nAnswer: 2\/270463","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -822 - -792.23. Let t = -3.83 + k. Let i = 33.59741 + t. Round i to four dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + -7. Let w = t - -57. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 176 + 12 + -4*143\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u + 4*r + 20, 4*u - 28 = 3*r. Let k(b) = -b**3 + 4*b**2 + 2*b - 6. Let o be k(u). Suppose 0*c = -o*c + 48. 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: What is the hundreds digit of 3939708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 232\/323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42777?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 5*w**2 + w. What are the prime factors of a(6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 50*t - 54*t - 31, 4*t = -4*o - 52 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:58 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3044930 and 945.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -21359*m**2 + 5*m**3 - 605*m**4 + 21359*m**2 + 2*m in the form i*m**3 + a + w*m + n*m**2 + o*m**4 and give o.\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 75098.32um in millimeters?\nAnswer: 75.09832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 2, h: 1, b: 5, r: 2, f: 2}. Give prob of sequence rp.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**3 - 68*r**2 - 19*r - 110. Give m(23).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-2*(-2)\/(-4) - -4). Suppose 5*v = x, -5*r + 70 = 2*v - 5*v. Let o(i) = 184*i - 33. Is o(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1330 - 1323. Suppose -85 = v*g - 106. Factor 0 + 4\/7*o**4 - 4\/7*o**2 - 2\/7*o + 0*o**g + 2\/7*o**5.\nAnswer: 2*o*(o - 1)*(o + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = r - 4*g, -2*r + 5*g + 27 = 2*r. Suppose l - r*c = 82, -4*l + c + 368 = 51. What is the remainder when l is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1923*r. Let g(j) = -2*j**2. Give p(g(d)).\nAnswer: -3846*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37982587*q + 331712692?\nAnswer: -37982587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -26, -87, -182, -317?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x. Let n(p) = -32029735*p. Give f(n(u)).\nAnswer: 160148675*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*15\/(-12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 0*r**2 - 5 + 1\/3*r**3 + 0*r. Let c(o) = o**2 + 1. Let h(x) = 5*x**2 + 4. Let g(k) = -4*c(k) + h(k). What is a(g(b))?\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1721*w - 1722*w + 2*d - 2, 15 = 10*w + 15*d for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 29342\nAnswer: 23\/29342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 3*r + 11*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from wwqqwwwqwqqww?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 22)*30\/(-25). Let k = d - 73\/3. What is the nearest to k in 0.3, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*v - 15 = -52*v, 0 = 2*p - v + 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 2*n**2 + 0*n**2)*(-2*n - 2*n + 6*n) + (4*n + 0*n - n)*(-5*n + 4*n - n)*(7*n - 3*n + n).\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -460.177 and 187760564.\nAnswer: 187760103.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (466\/(-57085))\/(17\/119)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -3, 33 in ascending order.\nAnswer: -5, -3, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.67 + 0.43. Let l = f + -2. Let t = -1379 + 1370. Which is greater: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-20))\/(2 + (-6)\/5). Suppose 4*w + 16 = 0, 12 = -3*y - 0*y - 3*w. What is the closest to 7 in -2\/5, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 3*g**2 + 89*g - 170. Let n be a(2). Let m(b) = -b**2 + 2*b + 6. Let l(v) = -v + 1. What is n*l(s) - m(s)?\nAnswer: s**2 - 6*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 11, 34, 69?\n\"Answer: 6*m**2 - 7*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 1 (c) -7\/3 (d) 5 (e) -2 (f) -189\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2 - 24613072*b + 75725414159648 = 0. Calculate b.\nAnswer: 6153268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*1.15\nAnswer: -0.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 11 = -4*t - 5*h, -t = 4*h - 19. Let i be 10*2 - (-82224)\/(-3997). Which is the closest to t? (a) 4 (b) i (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 - 86. Let i be (-12)\/a - 304\/(-56). Solve i*b = 5*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzwwzzozoaz. Give prob of sequence oa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*z = -51*z - 456 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1*2) - -2. Let z = 23504\/7 - 3358. Let o be 10\/(-2)*(-2)\/5. What is the closest to o in z, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10065633?\nAnswer: 3, 89, 37699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + m = -180, -5*n + 4*m = -899 + 599. What is the remainder when 254 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 - 6*d**5)*(-1 - 4 + 4) + 4*d**2 - 4*d**2 + 2*d**5 - 39 - 141*d**5 + 39.\nAnswer: -133*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4801, -4828, -4869, -4930, -5017, -5136, -5293?\nAnswer: -5494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-216)\/2448*51*(-184)\/36?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4131045 divided by 4\nAnswer: -4131045\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/6 - s**2 + 4417*s\/6 - 735.\nAnswer: -(s - 63)*(s - 1)*(s + 70)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1\/3, -0.2, 0.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -23. Let n(a) = -a**3 + 7*a**2 + 9*a - 5. Let l be n(b). What is the greatest common factor of l and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3\/4, -3, 1, -49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14197062683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235727 is divided by 3320?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 308 - 301. Solve 5*h + s = -3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 plus 1722356385?\nAnswer: 1722356382.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -529, 26, 1.4, 5, -3\/7?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + (1 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3007246617?\nAnswer: 3, 334138513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121714 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1068933 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 547 + -65 + -509 - (6 - (0 - (0 - -1)))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*q - 1606100 = 2911455. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 172322.\nAnswer: -34464.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79727 or -79964?\nAnswer: -79727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 + 29. Let r = 7 + b. Let g = r - -46.4. What is g rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 - 5*p + 2. Let h be i(3). Suppose -h*d + 313 + 62 = 0. Is 23 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 4*k - 1. Let i be h(4). Put i, -5, -6 in ascending order.\nAnswer: -6, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835 + 277 - 69*b + 275 + 81*b + 283.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -491 - -480. Let p be -3 - 12\/6 - -1. Let j(n) = 3*n + 6. Let l(q) = -9*q - 17. Determine p*l(w) + u*j(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5 - 5)\/(-2))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6645*b**2 - 180*b + 90. Let n(r) = -3*r**2 + 2*r - 10. Let z(l) = -h(l) - 9*n(l). Find the second derivative of z(c) wrt c.\nAnswer: -13236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 4*k - 4803 + 26679, -3*k = -b + 5471. Let f = 120357\/22 - b. Calculate the common denominator of 89\/74 and f.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(40)\/sqrt(5) + sqrt(8)) + sqrt(720) + (sqrt(720) + (sqrt(720)*-4 - sqrt(720)) - sqrt(720)))\/((6*3*sqrt(225) + sqrt(225))*-4).\nAnswer: 31*sqrt(5)\/760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02523 - 2446515.731?\nAnswer: -2446515.75623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1004, 2376, 4096, 6164, 8580, 11344?\nAnswer: 14456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17141385*p**3 + 24569369*p**2.\nAnswer: 102848310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 5 = 16. Let a = 39 + -40. Sort a, 0, -5, t.\nAnswer: -5, t, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 + (18\/(-126) - (-82)\/(-14)). Let n(x) = 6*x**2 + x + 6. Let w(i) = -12*i**2 - 2*i - 13. Give p*n(r) - 6*w(r).\nAnswer: -6*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242422?\nAnswer: 2, 53, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 93*k**2 - 3*k. Let c(a) = 17*a. What is r(c(p))?\nAnswer: 26877*p**2 - 51*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 13*a**2 - 90*a - 19. Let x(z) = 54*z**2 - 374*z - 74. Let j(g) = -25*n(g) + 6*x(g). Determine j(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95 divided by 114\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 39*v + 2 = -40*v, -2*u - 19 = 5*v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 + 75. Suppose -3*v = -u*v - 2922. Is (-6 + 5)\/((-3)\/v*-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54771076?\nAnswer: 2, 17, 293, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 61050\/8239 + -7 + (-6)\/14. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 26*n = 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = 30*g - 2 - 61 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -232000?\nAnswer: -231330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 4:53 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18032)\/(-3542))\/((-64)\/(-1232)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**3\/3 + 2*t**2 - 2*t - 8. What is y(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + 404 = -25. Solve 2*q = -g + w, 0 = 5*q - 4*g - 17 + 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -193.437 + 33.437. What is the second smallest value in -1, t, -2, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(sqrt(143)*-2 - sqrt(143)))\/(sqrt(891)*5).\nAnswer: -sqrt(13)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 8*w - 6. Let n be m(-7). Let x be n + 3\/6*0. Which is the nearest to 0.1? (a) 0.3 (b) x (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 8 = 5*d, -2*d + 9 = 2*d + q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 10*j**2 - 23*j + 12. Let a be w(-12). Suppose v + a - 26 = -2*g, -5*g + 58 = -v. Solve -5*t = m + 24, 5*t - 3*m + 40 = g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -15. Let x(j) = 17*j - 69. Let f be x(-4). Let o = f + 135. Which is the second smallest value? (a) s (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -11, 2\/19, 0, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -922, -915, -894, -853, -786, -687, -550?\n\"Answer: b**3 + b**2 - 3*b - 921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 27*f + 4. Let q be v(-27). Calculate the remainder when 25 is divided by 14 + (-2 - (3 - q)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4 + 1 - 4 + 4*r. Let l(i) = 2*i - 3. Let k(x) = -2*c(x) + 5*l(x). Find the first derivative of k(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303099 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: What is 101 minutes before 11:07 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 3 - -8) + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1 - 5) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 9. Which is smaller: 1\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*i = -10*i - 2374 + 826 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -0.9. Let d = 10.035 + -10. Let z = 4.965 + d. What is the biggest value in z, -2, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 972, 2265, 4062, 6363?\nAnswer: 9168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 2*n**2 + 6*n - 308. What is s(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 7*m. Solve 2*n = 5*l + 3*n, l + 3*n = m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7747132 - 121?\nAnswer: 7747011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69 or -208\/3?\nAnswer: -208\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/g**(-3\/2))))**(2\/19) assuming g is positive.\nAnswer: g**(5\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83.9 + -84. Which is the closest to j? (a) -0.4 (b) 3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1682*r + 6761*r + 0 - 1687*r - 1690*r - 5 - 3*r**3 - 1702*r.\nAnswer: -3*r**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3*20\/9*420\/560*3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-4 - (-9 + -2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2\/5 + 7920124*l + 39600622\/5 = 0.\nAnswer: -1, 19800311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6*0.301\nAnswer: -1.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j + 40*j + 2 = -3*z, -3*j - 12 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**6\/4 + 11*u**5\/10 - 281*u**4\/4 + 353*u**3 + 1855*u**2\/4 - 833*u\/2 - 4637. Suppose q(k) = 0. What is k?\nAnswer: -17, -1, 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57.3 - 61.3. Put 5, 22, 2\/23, y in decreasing order.\nAnswer: 22, 5, 2\/23, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10157 = -3*f - 0*f, 0 = -3*f + 3. Let n(x) = -m + 1021 + 1013 + 4*x. Give n(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311150258.\nAnswer: 2, 71, 2191199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2\/6 - 175*i\/2 - 1755.\nAnswer: -5*(i + 27)*(i + 78)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 - 2028*t**3 - 4028*t**2 + 6060*t.\nAnswer: -4*t*(t - 1)*(t + 3)*(t + 505)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25\/11 - 114\/55. What is the third biggest value in -8.73, 3, r?\nAnswer: -8.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 480\/144*(-3)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19131200 rounded to the nearest one hundred thousand?\nAnswer: 19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 81151?\nAnswer: 81148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**7\/2520 - g**4\/8 + 4*g**2. Let y(d) be the second derivative of z(d). Let r(w) = 4*w**2. Determine y(r(s)).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**3 - 5*f**2 - f + 4. Let w be 7 - (25\/(4 + 1) - 2). Let x(r) = -7*r**3 + 11*r**2 + 2*r - 9. Determine w*x(y) + 9*v(y).\nAnswer: -y**3 - y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r - 74. Calculate the lowest common multiple of 2 and u(-23).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 18 = -4*f. Put 5, 60, f in decreasing order.\nAnswer: 60, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54? (a) -2 (b) 4\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**3\/3 + 2*j. Let n(l) be the second derivative of 0 + 0*l**2 + 2\/3*l**3 - 54*l. What is n(b(w))?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*s + 88043 = 86657 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 648 and 3144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**16)**19 assuming w is positive.\nAnswer: w**304","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771581117.\nAnswer: 101, 7639417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360261?\nAnswer: 3, 11, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = -0*u + 2152. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -497, -829, -1189, -1583, -2017?\nAnswer: -2497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/23642 or 1?\nAnswer: 5\/23642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57856\/18585 + -4\/2065. Let g = 131\/45 - a. What is the closest to -5 in g, 1, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1122 - -1125. What is the third biggest value in 5, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -42, -38, -32, -24, -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 11. Let k(c) = -c - 1. Let l be k(z). List the prime factors of (4 - l)\/((-1)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3866, -7543, -11220, -14897, -18574?\n\"Answer: -3677*x - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {w: 4, p: 8, e: 2}.\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 402031 and 116683?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + k + 613. Let t be s(0). Suppose v = -v - 2*y + 648, 2*v = 5*y + t. Let r = v + -502. Round r to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/9355019 and -117\/5870.\nAnswer: 93550190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, y: 7, s: 1, r: 3, u: 7}. What is prob of sequence unyu?\nAnswer: 49\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144014 (base 5) in base 16?\nAnswer: 54ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8488 and 1713515?\nAnswer: 13708120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4968 = 118*r + 53*r + 8046 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (558\/124)\/(3\/8)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 9:20 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -11.6\nAnswer: 0.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + x - 1. Let q be w(-3). Find the common denominator of (-170)\/16 - 7\/q and 209\/30 + 3\/9.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 998 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 62.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 170820 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3357\/23 - 797595\/506. Let c = 1430 + g. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -15*g + 353. Suppose g*j - 2905 = 19*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44552?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49618894?\nAnswer: 2, 13, 83, 22993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17772*v = -17775*v + 3*k + 57, -k = 3*k + 92 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, j: 2, i: 3, r: 2}. Give prob of sequence rirv.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-200)*5 + 253\/8. Suppose p = -3*n - 5*c + 159, -n + 43 = c. What is the smallest common multiple of n and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.58 + 0.18. Let n = 3421.79409874 + -3427.1941. Let j = n - r. What is j rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -900\/7 or -0.1?\nAnswer: -900\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 840.5*5\nAnswer: 4202.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 498318316 a multiple of 4376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**6\/30 - 32*h**5\/15 + 154*h**4\/3 - 1568*h**3\/3 - 5*h**2 - 10*h + 9. Solve j(m) = 0 for m.\nAnswer: 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1148052*g + 11480513. Calculate j(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*v + 18 = 0, -4*f + 9*v = 11*v + 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.25456274 to two dps.\nAnswer: -33.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(3) + 3 + sqrt(48) - -3*(0 + sqrt(48)))**2 - ((sqrt(48)\/sqrt(4)*5)\/(sqrt(100)*2))**2.\nAnswer: 120*sqrt(3) + 4833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.9 and -19893.\nAnswer: -157154.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 8*t - 1. Determine m(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884594 is divided by 8586.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 3*a + 10. Is i(3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -31 - 89. Suppose -b = 5 - z. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 290906161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21397*o + 42797*o - 21407*o + 2 - 7*o**2)*(-2 + o + 2).\nAnswer: -7*o**3 - 7*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3263.3204 rounded to the nearest 10?\nAnswer: -3260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -291*m**4 - 234*m**3 - 7*m**2 + 34*m wrt m?\nAnswer: -6984*m - 1404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*1502365.\nAnswer: 40563855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 10:14 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtorq. What is prob of picking 1 x and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 15*k**2 - 13*k - 13. Suppose 2*w + 7*w - 126 = 0. Let c be p(w). What are the prime factors of (5 - 9) + 55\/c?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwgbywggggkgiggygg. Give prob of picking 1 k, 1 w, and 2 y.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - z - 1. Let f(l) = -3*l**2 + 4*l - 3. Let g(m) = f(m) - h(m). Suppose 3*u = -2*u + 15. Give g(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 926, 1851, 2776?\n\"Answer: 925*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (145\/(-87))\/((-1)\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**5 - 19*g**4 - 984*g**3 - 905489*g**2 wrt g?\nAnswer: 60*g**2 - 456*g - 5904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 10 = -6. Suppose -7*p + 2*p = -a - 172, -h*a + 12 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2437\/21 + -116. Let z be 0*(-2)\/(-6) + 4. Suppose z*g - 2*g = 0. Which is bigger: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 18. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhhpqf. Give prob of sequence qhpq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 69173567.01 to the nearest 100000.\nAnswer: 69200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 1. Let i = -6 + 1. Let k(w) = 19*w - 29. Let a be k(i). Let d = -119 - a. Calculate y(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/7 + 2990\/(-1638) + 6\/2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 29*q**2 + 6*q - 9. Let o(x) = 29*x**2 + 6*x - 8. Let p(c) = -4*o(c) + 3*v(c). Let h(r) be the first derivative of p(r). Does 42 divide h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 7. Give q(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3986.951 + 3916. Let j = -71 - z. Let v = 0.651 - j. What is the nearest to 1 in v, -2, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 185160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 7:11 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 402 + -396. Suppose 0*w + 3*w - 3*f = 18, w - g = 5*f. Solve 9*i - 7*i = -w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473791 is divided by 241.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcc when three letters picked without replacement from {c: 2, d: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bee when three letters picked without replacement from bbbbbbbbbbbbebbbeb.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from tffvz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 0.5, 156, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 15*l**3 - 3*l**3 + 11 - 11 to the form r*l**2 + y*l + n + j*l**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.951361 decades in months?\nAnswer: 1194.16332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-10\/11)*n\/n**5 assuming n is positive.\nAnswer: n**(-54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 7*p + 11*p + 5, -5*p - 25 = -5*v. Suppose 4*l - 2736 = 2*j, -2642 = -v*l - 3*j + 767. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1598*h*p - 78490*h - 330110373*p wrt h?\nAnswer: -1598*p - 78490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 19*c - 15*c - 72 = 0, 5*c = 15. Solve -s = 4*s - 5*j - a, -4*j = -2*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1591\/5 + 637\/2. Let g be 5 - (-24)\/(-15)*25\/10. What is the closest to g in q, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tywwy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 0 (c) 125 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145*f**5 + 3*f**4 + 556*f**2 + 327*f**5 + 718*f**2 + 1432*f - 181*f**5 wrt f?\nAnswer: 20*f**3 + 36*f**2 + 2548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480677393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4283, 4283, 4271, 4241, 4187, 4103, 3983, 3821?\nAnswer: 3611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*r + 0 + 0 - 70*r to the form d*r + u and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgbv when four letters picked without replacement from gvvbgygcybbcyvvvv?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16b95d (base 15) in base 4?\nAnswer: 10031020123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/2*((-26550)\/1925)\/59.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-12)*((-744)\/66)\/(-62) + 3.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771882965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**4\/3 - 104*k**3 - 12168*k**2 + 257*k. What is b in i(b) = 0?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*r = 25*r + 540. What is the remainder when 288 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 535 - -3?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, h: 1, j: 1, l: 1}. Give prob of sequence bl.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -20, -31, -46, -65, -88, -115?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -1232003123?\nAnswer: -1232003121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*d - 35*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 43 + 2*i - 43. Let k(r) = r**2 + 0*r**2 + 2*r**2 - 2*r**2. Give k(t(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 618072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v**3 - 5*v**2 - 11*v + 13. Let a = 106 + -117. Let j(m) = -5*m**3 + 3*m**2 + 6*m - 7. Give a*j(w) - 6*n(w).\nAnswer: w**3 - 3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 5759.9?\nAnswer: 5758.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-1 + 14\/6). Let t = 2.831 + 0.169. What is the third biggest value in 0.3, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a - 3*a - 264 = 0 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express k + k - 4*k + k in the form o + m*k and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*c**3 + 0)*(-439*c + 29*c - 10*c) + 2*c**4 - c**4 - 5*c**4.\nAnswer: 836*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 13*f**2 - 8*f - 55. Let k(x) = 4*x**2 - x. Determine -6*k(d) + 2*p(d).\nAnswer: 2*d**2 - 10*d - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 267 + -148. List the prime factors of r.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34021008800 rounded to the nearest 1000000?\nAnswer: -34021000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 259.0166um?\nAnswer: 0.0002590166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((72\/(-80))\/((-6)\/(-4)))\/(38\/8930).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747 = -13*b + 64 + 476. What is the remainder when b is divided by 98?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93 - 50. Let v = -136 + a. What is v rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/6*3\/1. Is ((-2)\/(-2))\/b + 88 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*h = 6*h + 20, 3*h + 15 = 0. Suppose 2*x = -3*i + 15, u*x - 4*x + 54 = -2*i. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7722333023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -2*x + 336. Let i = 304 - 110. Let q be i\/8 + x\/96. Solve 13 = 2*c + r, 0 = -6*c + 3*c - 3*r + q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-2)*7\/(84\/(-12)). Let u(d) be the second derivative of 1\/6*d**5 - 1\/6*d**4 - 1\/45*d**6 + 0*d**3 + 0*d**2 + 0 - 1\/63*d**7 - m*d. Factor u(q).\nAnswer: -2*q**2*(q - 1)**2*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -327*-116\nAnswer: 37932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.47 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6574 < 6565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12357823 is divided by 4182.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 1852048*f - 1852052.\nAnswer: 4*(f - 463013)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 10:03 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 34*h**2 - 3. Let y(s) = 51*s**2 - 9*s - 2. Let w(x) = 159*x**2 - 30*x - 6. Let i(p) = -3*w(p) + 10*y(p). What is -3*i(t) + 2*m(t)?\nAnswer: -31*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -255 + -7407852?\nAnswer: -7408217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 4*o + 1. Let g(x) be the third derivative of -x**5\/12 + 11*x**4\/24 - x**3\/2 - 8*x**2. Let f(n) = 3*g(n) + 8*u(n). Determine f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70.7 - -72.7. Is f > 1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*t = -407*t + 2004. Solve 5*s - 9 - 10 = n, 2*s + t = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -10144?\nAnswer: -10204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 26. Let z be h(10). Let n be 6\/z - 178\/(-12). What is the greatest common divisor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)*-4 - (sqrt(5) + 2 + 2) - ((sqrt(70)*2 - sqrt(70))\/sqrt(2))\/sqrt(1008).\nAnswer: -109*sqrt(5)\/12 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 2, -3\/7, 0.5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*b - 2*k, 4*b + 4 = -5*k + k. Let n(f) = 11*f + 7. Calculate the remainder when 105 is divided by n(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3 + 1. Suppose 5*a = q + 2 - 1, y*q - 3*a - 5 = 0. Let r be (7 - q) + (-2 - -4). Does 10 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/(21*(-2)\/(-12))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -53. Suppose p = o + 4*b - 1 + 2, -20 = 5*b. Calculate the remainder when 29 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18429851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 397391\/4866 - 1\/4866. Is 81 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 77. Does 19 divide (r\/12)\/(1\/(-76))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooouooooooouuouoo. Give prob of sequence uou.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 329746083.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/108 and -5\/3429.\nAnswer: 13716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 819, 1637, 2455, 3273, 4091, 4909?\n\"Answer: 818*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149850?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 11) to base 14.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 1422. Let p(s) = -2*s**2 + 84766*s. Calculate p(y(w)).\nAnswer: -2*w**2 + 90454*w - 124581420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - x - x + (2 - 4 + 1)*(-x - 6*x + 3*x) + (4*x - 6*x + x)*(-2 + 1 + 0) to l + g*x and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11040503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21254 divided by 10\nAnswer: -10627\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*d + 548 = 0, -2*o + 472 = d - 72. Let n(p) = -179*p + 1. Let w be n(-1). What is the highest common factor of w and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-8)\/4 - 58\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -31 - 14. Is z\/(3\/(-24)*6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away -67938.53870305?\nAnswer: 67938.61870305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 16*q = 0. Solve -8 = -2*i, -6 = -2*l - 3*i - q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 27 = -l, 0 = -5*v + 3*l - 31226 + 31255 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 343*w + 345*w + 22 = 0, -o - 1 = -w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 589*d**2 - 1177*d**2 + 583*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21314197.01458 - 21315067. Let x = p - -870. What is x rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-6)\/105)\/((-111)\/370).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**4\/8 - 3*s**3\/4 - 18*s**2 + 195*s\/4 + 525\/8 = 0?\nAnswer: -7, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i + 40. Give t(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.6 + 28. Let c = j + -3. What is the third biggest value in c, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + z - 22. Let v be g(-6). Let r(l) = l**3 + 9*l**2 + l + 19. Is r(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 688481424 to the nearest integer?\nAnswer: 26239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -2\/7, 0.5, 376.\nAnswer: -2\/7, 0.5, 69, 376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -1\/6 (b) -1\/11 (c) 5 (d) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15*30\/(-375)*40\/(-6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2.72*0.5\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 9:28 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -9. Let b(v) = 3*v**2. Let f be b(-1). Suppose 3 - 3 + 0 = 3310*d. Solve d = -l + f*l - t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1031 and 7.2.\nAnswer: 7423.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**3 + 3*c**2 + 17*c - 106. Is 73 a factor of o(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -31. Suppose -5*t - 2*a - a + 57 = 0, 39 = 3*t + 3*a. What is o in 15*o**2 - 7*o + 5*o**3 - t*o**y + 1 - 5*o**3 = 0?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -814.7?\nAnswer: 814.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42829\/2 - 21406. Let y(u) be the first derivative of -21*u - 17 + h*u**2. Differentiate y(d) wrt d.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + sqrt(2880)*3 + 2)**2.\nAnswer: 720*sqrt(5) + 25945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3660 is divided by 1028.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*i - 3*i**2 + i**3 - 34 + 11 + 4 + 2*i**4 + 20 to the form c*i**3 + a + o*i**2 + j*i + f*i**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3. Suppose 12 = 3*n - 12. Let u(y) = -2*y - 1 + y - 2 + n. Let q = 112 - 115. What is q*u(x) - 5*r(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/582 and -58\/33.\nAnswer: 6402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/16)*w**(1\/5)\/w*w**19*w*(w*w\/(w**(1\/8)\/w))\/w)**7 assuming w is positive.\nAnswer: w**(11837\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/28)\/(1\/(-6)). Suppose 18 = 4*c + 2. Let i be 4\/10 + c\/10. What is the third biggest value in i, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3453.2 - 3451. Which is greater: -0.05 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(1216) + (sqrt(19) + 4)*2.\nAnswer: -46*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -10. Let t = 6 + y. Let n = -1 + 1. Which is the nearest to 0? (a) 0.4 (b) t (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 997*r**2 - 100*r + 31061 wrt r.\nAnswer: 1994*r - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.6 from 0.33.\nAnswer: 7.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b**3 + 39*b**2 + 13*b + 7. Let z(q) = -7*q**3 - 40*q**2 - 12*q - 6. What is -6*a(f) - 7*z(f)?\nAnswer: f**3 + 46*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55097 + -10817. What is the ten thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (-11 + (-13 - (13 + -42)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11649 + -11648.9982607. What is i rounded to 5 decimal places?\nAnswer: 0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikfhq. Give prob of picking 1 q and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 - 6 + 6 + 0.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 2200*f**3 + 1327*f**3 + 65.\nAnswer: 3527*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 6\/12*-5 + 3 + (-1134)\/108.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/436 and -29\/13625.\nAnswer: 54500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.29? (a) 1\/8 (b) -2\/5 (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1285459?\nAnswer: 7, 183637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -41*r**3 - 1\/2*r**5 - 25\/2*r - 155\/2*r**2 - 31\/4*r**4 + 125\/4 = 0.\nAnswer: -5, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from qnqqqaqqq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01240955 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 336\/5320*(25\/12)\/((-13)\/(-728)*35)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 68, 81, 112, 167?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**2\/5 + 8663748*r\/5 - 8663744\/5 = 0?\nAnswer: 1, 2165936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 289317 and 3864.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-8))\/(1\/(-4)). Let l be 2 - (i - 58\/3). Let t = l - 47\/6. Find the common denominator of -11\/7 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/5*(1206960\/144)\/(-107)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Let w = 1 + -5. Let j be (-24)\/(-18) - w\/(-2). Is p at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueudqguuu. Give prob of sequence uqg.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**6\/100 - j**5\/75 + j**4\/20 + 2*j**3\/15 + 3*j**2\/2 - 3*j. Let x(v) be the first derivative of z(v). Solve x(h) = 0 for h.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -108*d**3 + 12*d**2 - 6*d - 6. Let q(x) = -109*x**3 + 10*x**2 - 5*x - 5. Calculate -5*b(m) + 6*q(m).\nAnswer: -114*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429*k - 431*k + 4 + 0.\nAnswer: -2*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*u**4\/11 + 180396*u**3\/11 - 1970710*u**2 + 35799192*u + 349448 = 0.\nAnswer: -2\/205, 22, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 1896636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002746 to five decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(10)\/sqrt(50) - ((sqrt(5) - (-5 + 1*sqrt(5) + sqrt(5))**2) + sqrt(5))) + ((sqrt(45) + -4)**2 - (sqrt(5) + (sqrt(45) + 1 + sqrt(45))**2))*4.\nAnswer: -1176*sqrt(5)\/5 - 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*f + 3040 = -274*f. Calculate the highest common divisor of f and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (3 - 10)) + (-44 - -36).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 15 + 55 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -23*b**3 - 30*b**2 - 33*b - 5. Give n(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1199630, 1199628, 1199626?\n\"Answer: -2*v + 1199632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = 15. What is the common denominator of -13*-4*(-1)\/c and 63\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*31960232.\nAnswer: 63920464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1005659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2828 times -2\nAnswer: 0.5656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 18*f - 4. Let q be t(4). Suppose 7*p - q = 72. Solve -2*z = -3*o + 12, 3*o - 3*z - p = -5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 12. Suppose -15 = -3*m, 2*x + 2*m - 7 = 3*m. What is the units digit of n(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*n - 298*j**3*t**3 + j**2*n*t**3 - 11*n*t**2 + 53*n*t wrt t?\nAnswer: -1788*j**3 + 6*j**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-786)\/(-24)*(3 - -1)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 9:31 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 + 31*f**2 + 101*f - 21. Give h(18).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 8*n**2 - 2*n + 9. Let k be y(-7). Let v = k + 31. Suppose 25 = -0*b + v*b, 4*l + b - 25 = 0. Solve -l = -2*u + 7*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**5\/20 - 3*r**4\/2 - 8*r**3\/3 - 55*r**2\/2 + 2*r - 12. Let a be b(19). Factor -2\/13*n**a + 4\/13 - 2\/13*n.\nAnswer: -2*(n - 1)*(n + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0 + 0)*(6*s - 3*s - 2*s**2 + 0*s).\nAnswer: -4*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120 + 205 - 7)*(2*m + m - m) - 4*m + 2*m - m + (2 - 3 + 3)*(3*m - 5*m - m) + 0*m + 3*m - 4*m + 4 - 4 - 2*m.\nAnswer: 624*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 4*w + 7, -3*d = 2*w + 4 + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 249, 543, 955, 1485, 2133?\nAnswer: 2899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = 7*u - 45. Let j = 2276 + -1499. Find the common denominator of 9\/22 and (1\/u)\/((-28)\/j).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*(-7)\/((-21)\/9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 8) to base 3\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 628, 623, 614, 601, 584?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.236732 millennia in decades?\nAnswer: 223.6732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -629, 15 in ascending order.\nAnswer: -629, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + -5 + -3 + (-8)\/1. Put p, 3, 4 in descending order.\nAnswer: 4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 7682*v - 847804. What is x(112)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/12 + (-6685)\/(-30) + -2.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.251 and -6.\nAnswer: 7.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 4*m**2. Calculate i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**7\/231 + v**6\/11 + v**5\/55 - 5*v**4\/11 - v**3\/33 + 15*v**2\/11 - 2*v - 12. What is r in s(r) = 0?\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-5))\/y**(4\/3)*y*y**3*y**(-5)*(y**0)**(-14)*(y*y*y\/y**1*y)**(-1\/12) assuming y is positive.\nAnswer: y**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19a3 - 71?\nAnswer: 1932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36696986 = -2*y + 177697002. Suppose -5*u - 2*z = -y, 0*u = -u - z + 14100004. Round u to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-8*3\/4*8\/96*-64.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-210))\/(6105\/(-231) + 23)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1113*1.652\nAnswer: -1838.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -3*m + 2*i, -2*m + 20 = 4*i. Suppose -j - 11 - 1 = -m*h, 0 = -2*j. What is the third derivative of -4*z**h - z**2 - 4*z**3 + 6*z**3 wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/6)\/(26\/(-39)). Suppose -2*c = 5*r - 31, 3*r = l*c - 0*r. Let o be (-4 + c)\/(1\/(-2)). Solve -o*p + 2 = -2*z, -5*p - 5*z = 30 + 15 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 888 divide 65762616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2. Let m(p) = 17*p**2 - 4*p + 394. Give m(c(x)).\nAnswer: 68*x**4 + 8*x**2 + 394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 357735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.15, 2, 123?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o*o\/((o\/(o\/(o\/o**(-2\/7))))\/o)*o*o*o**(2\/17))**(-21)\/((o**(-1\/5)*o**(-3))\/(o**(-1))**(8\/11)) assuming o is positive.\nAnswer: o**(-131833\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -35*i**4\/2 - 26*i**3 + 8*i + 5. Let a(b) = 0. Calculate b.\nAnswer: -1, -2\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 64 + 52 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmqn when four letters picked without replacement from {a: 1, n: 4, q: 3, l: 1, m: 5}.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, -25, -155 in descending order.\nAnswer: -25, -62, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -120210121?\nAnswer: -120210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -65, -2\/5, 4, -8, 738?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 3*c + 1. Let t be 6\/27 + 21\/27. Suppose 4*r - v + 4 = 0, 5*r + t = 2*v - 1. Determine d(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*q - 3*q - 2*m, 2*q + 3*m = -15. Suppose q = 7*u - 2*u. Suppose u = -0*n - 5*n. Solve n = b + b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-294)\/(-12)))\/(-4 + 120\/35)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 40*g**2 + 22*g + 94. Let m be q(-4). Is m + 4 + (-1 - 8) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 7*g - 19*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -37 (c) -0.2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 17. Let c = 70.7 - 66. Let z = c - 0.7. Sort z, f, -2 in increasing order.\nAnswer: -2, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + (sqrt(198)\/(sqrt(99)\/sqrt(9)*-6))**2 + 5)*-2.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -418 and 69.94.\nAnswer: -29234.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(27) - 3*sqrt(972))\/((sqrt(9) - (sqrt(9) - (sqrt(9) + sqrt(36)))*5) + sqrt(9)))**2.\nAnswer: -289\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-3)\/(-3) - (0 + -47). Suppose -x = -q + 30. Calculate the lowest common multiple of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200951?\nAnswer: 23, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-12)*4*(-30)\/15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 7:01 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 61901.39 to the nearest one thousand.\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*j + r, 35 = 5*j - 100*r + 105*r. Suppose 0 = -4*p + 5*v + 40, -4*p + 3*p + 4*v + 21 = 0. Solve p*a + 20 = 0, -a = -u + j*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 499731289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 159 in -5, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*b + 93*b + 142 + 62*b.\nAnswer: 336*b + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -115\/4. Let p be ((-640)\/(-32) - 49) + 26. Which is the nearest to q? (a) -0.8 (b) p (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j = 14*j + 27 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134724 + 134728. Let m = 3.1 + -3. Put -5, s, m in ascending order.\nAnswer: -5, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/316 and (32\/(-14))\/(13\/((-364)\/(-12))).\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3576*j*m**3*p + 5625*j*m**3 wrt p?\nAnswer: -3576*j*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26585 and 195.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 296034?\nAnswer: 2072238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122203330231 (base 4) to base 14.\nAnswer: cd3765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -87207197 rounded to the nearest ten thousand?\nAnswer: -87210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 57 - 57 - 5*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 22*r - 1. Let w = 25 - 23. List the prime factors of o(w).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12932, 12931, 12930?\nAnswer: 12929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -406, -0.5, 0.\nAnswer: -406, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -6345?\nAnswer: -6352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 162*i**2. Let z(t) = t. Determine r(z(j)).\nAnswer: 162*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -103 + 75 + (19 - -13) - (0 + -45)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 4 = -3*z. Let q be 1\/(-4) - 13\/z. Let x(b) = b**2 - 72*b + 1198. Let t be x(46). Solve -3*s = q*c - 3, -s + 5 = t*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6406519 and 42.\nAnswer: 38439114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 390, 2, -1, -5, -8, -7 in increasing order.\nAnswer: -8, -7, -5, -1, 2, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {r: 1, z: 3, j: 2, d: 2, g: 4, y: 8}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -10, 67, -4, -2 in decreasing order.\nAnswer: 67, -2, -4, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 4*j**4\/3 + j**3\/6 - j**2\/2 - 2*j. Is m(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20838 is divided by 2075.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7059\/4*j**2 - 903\/2*j**3 - 2322*j + 147\/4*j**4 + 972 = 0.\nAnswer: 1, 36\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 7*u**2 + u - 2. Let l be i(7). Suppose 3 + l = 4*y. Let j(d) = 0*d + d - y*d**2 - d. Let k(w) = 5*w**2. Give k(j(x)).\nAnswer: 20*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 c when three letters picked without replacement from ckffkcfkfccf?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.87 - -0.07. Let h = 14.9 + a. Let z = h + -10.0943. Round z to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413bbc (base 13) to base 2\nAnswer: -101110011101010100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -15.88. Let l = y + 0.14. What is l rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12125 or 84872\/7?\nAnswer: 12125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14*-6.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34226 - 11114?\nAnswer: -45343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**5\/2 + 66*n**4 + 2268*n**3 + 11904*n**2 + 22632*n + 14688 = 0.\nAnswer: -18, -2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9992, -19975, -29950, -39917, -49876?\nAnswer: -59827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -309*b - 663 + 4680 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-11))\/((-4)\/(-6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/7 + (-664)\/224)\/(25\/100). Let u(d) be the first derivative of -d**2 - 16*d + 3. Calculate u(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 94, 5, 68, 104.\nAnswer: -2, 5, 68, 94, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -145. Suppose 4*i = -2*s + 66, -3*s + 16 = 4*i - 81. What is the remainder when q\/(-3)*(-345)\/(-46) is divided by s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3*r + 11 = 0, 32*x - 28*x - 16 = 3*r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -25*v**8\/42 - 77*v**5\/15 + 2*v**2 - 129. Find the third derivative of a(d) wrt d.\nAnswer: -12000*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179978 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -326 - 5?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -3*b**5\/5 + 35*b**4\/4 + 9*b**3\/2 + 20*b. Factor k(i).\nAnswer: -3*i*(i - 9)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*t = 1070*t + 240*t - 74*t + 3924 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-1))\/((-161)\/(-322))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44135 and 360743?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 583 = -198. Suppose -72 = 2*p + 5*h, -3*p - 121 = h - 0. Let y = 63 + p. What is the highest common factor of f and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n = 83*n + 132 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.59495um to kilometers.\nAnswer: 0.00000004559495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 2:55 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1019559)\/(-217) - ((-16)\/7)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 39. Suppose 1 = -m - 2*v, m + a - 18 = v. Solve m*t - 2*t = -5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 273 - 160. Suppose -3*i - l = -2*q, -q - 4*i = -0*q - 84. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -409*s**3*z**4 - 2*s**3 - 6*s*z**5 + 10682*s*z**2 wrt z.\nAnswer: -9816*s**3*z - 360*s*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kktkkkkbkkktkkkt. Give prob of picking 1 b and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 8*w**5 - w**3\/3 - 39*w**2\/2 - 40*w. What is the second derivative of y(u) wrt u?\nAnswer: 960*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-96)\/238 - 2\/(-7). Which is the nearest to 0? (a) 3 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 + 375*d - 19. Calculate o(-75).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.44 in 0, -0.1, 2.195?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 12:26 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -44068*z. Let u(b) = -b**2. Give m(u(j)).\nAnswer: 44068*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50226 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(7\/4))**(4\/29)\/(w\/(w**26\/w)*w**(-1\/14)*w))**(26\/3) assuming w is positive.\nAnswer: w**(123773\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246116310 divided by 22.\nAnswer: 11187105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from iizzvvzzzkzkzpl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 1 + -1)**2.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22811 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084\/5 smaller than 418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-139)\/(-2) + 2\/4. Suppose -3*r = -2*h + h + s, h - r = 70. Suppose y - 5*l - h = -2*l, 0 = -5*y - l + 334. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/((-3)\/42). Suppose 3*t + 8 = d*t. Let w = -14500 - -14504. Solve 0 = t*z - 0*s - 2*s - 10, 0 = 2*z - w*s - 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*p + 2*p + 7*p to the form d + w*p and give w.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -12*a - 58. What is the remainder when l(-13) is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -2*n - 2*w + 13, -2*n = 5*w + 27. Let v be (-2)\/n*(3 - -3). Solve v*h = -x, 0 = x - 0*x - 3*h - 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 14477?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-7)\/(147\/2)). Let o = 22 + s. Let l(m) = 133*m - 2. Is l(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -4.1. Let l be (4\/(-5))\/((-8)\/(-20)). Which is the closest to -2\/5? (a) -3 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-4)\/4)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f - 6*f - 17*f)*(1 - f - 1)*(3*f**2 - 4*f**2 - 7*f**2).\nAnswer: -120*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 10 - 85. Suppose 0*h = 3*h + f. Let m(i) = -2*i + 1. What is the tens digit of m(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -15\/251 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -217 (c) -2 (d) 4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/12)\/(4\/18). Suppose -k*d = -82 + 19. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 12:13 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -64 - 0. Let b = 21 + f. Let o = 3 - 5. Put -3\/4, b, o in decreasing order.\nAnswer: b, -3\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and 119501577 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 3*h + 8 = 0, -56*l - 21*h = -54*l + 61 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 + 4*g**2 - 4*g**2 + ((5*g - g - 3*g)*(-5*g + 5*g - 2*g) + 3*g**2 - 3*g**2 - 2*g**2)*(-3*g - 10*g - 3*g).\nAnswer: 67*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0135 - -0.01063. Round d to 4 decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1754 is divided by 56.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-610)\/(-12) - (-6)\/36. Let d be y - 0 - (-5 + 6). Suppose -6*j + 4*j = -d. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y**2 - 69*y - 244. Give h(14).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 7 = -2*n + h, -n = 2*h + 4. Suppose n*a = -a + 4*k + 47, 0 = 4*a - 4*k - 64. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8099134?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/754 and 53\/58.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*c**3 - 23*c**3 + 96*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4187*d + 4445*d = -4660 - 6950 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -45*u**5 + 16510*u**4 - 741520*u**3 - 9055910*u**2 - 9210435*u - 912600 = 0.\nAnswer: -9, -1, -1\/9, 65, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**2 - 24*w**3 - 7*w**3 - 13*w**2 - 16*w**3 + 27*w**3.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/7))**(-25))**(-2\/99))**(-2\/39) assuming g is positive.\nAnswer: g**(-200\/27027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 2*z**2 - z - 1. Let w be r(2). Is (248*3 - 4) + w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 1\/30*z**7 + 0*z**6 - 11*z**2 - 13\/6*z**3 + 0*z**5 + 0*z**4 + 0*z + 0. Find the first derivative of q(r) wrt r.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15618651 and 213?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 10:54 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*j - 104 = 133*j. Let y = -43 - j. Suppose -h = 2, 2*w - w + 4*h = 91. What is the highest common divisor of w and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*x + 324. Suppose 2*n = 4*f - n - 643, n + x = f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1570.2 + 1570.3. Which is the closest to -1\/4? (a) k (b) -4 (c) 0 (d) 801\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 918798, 918797, 918796, 918795?\nAnswer: 918794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -225, -5, -6 in descending order.\nAnswer: 2, -1, -5, -6, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/16068 and -67\/10197.\nAnswer: 530244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6 + 7*b + b**3 - 2*b**3 + 121*b**2 - 117*b**2. What is h(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4529 - -4529.2. What is the second biggest value in -1\/4, -3\/5, -2\/9, -0.4, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210231230 (base 4) to base 14.\nAnswer: -3cb36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30064 by -10555.\nAnswer: 30064\/10555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-10 - -8) + (-2)\/(-16))\/((-2)\/(-4))\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1 - 3 + 3*i - 3. Let h(t) = -8*t + 14. Let z(f) = 4*h(f) + 11*l(f). Let n(r) = -5*r - 3. Let o(w) = -2*w. Let x be o(-2). What is x*z(c) + n(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -13*l + 7. Let b be z(-5). Let x be (7 + 1)*6\/(b\/(-30)). Let c(y) = -y - 12. What are the prime factors of c(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26573, -106353, -239319, -425471, -664809, -957333, -1303043?\n\"Answer: -26593*a**2 - a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -7) + (10 + -6 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16 + (-756)\/48 - ((-67)\/36 - -2). Which is the fourth biggest value? (a) -20 (b) 1 (c) -0.1 (d) s (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17400 divided by 290.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 i when four letters picked without replacement from {i: 4, g: 2, h: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r**2 + 2*r - 8. Suppose -3 = m + 5. Suppose 1 = -3*f - 2*y, -2*f - 5*y - 28 = -3*f. Let n(k) = -2*k**2 + k - 3. What is f*u(i) + m*n(i)?\nAnswer: -2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**7\/210 - h**6\/45 - h**3\/2 - 2*h. Let i(a) be the second derivative of g(a). Solve i(o) = 0 for o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(1900) - (sqrt(1900) + 0) - sqrt(1900)) + 4)**2 - (sqrt(931) + -3 + sqrt(931)*-2)**2*3) + 0.\nAnswer: -286*sqrt(19) - 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j - 12*j - 3 - 13*j + 1.\nAnswer: -18*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvx when three letters picked without replacement from {m: 1, n: 10, x: 3, v: 4}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f - 9. Let o be l(10). Let z = o + -18. Let r(j) = -j**2 + 3*j + 2. List the prime factors of r(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39c - -67fc7?\nAnswer: 67c2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 7*n**2 - 4*n**2 + 13*n**2.\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 12.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/(2\/(-8)). Suppose f*v - 2*v - 12 = 0. Solve -4*q + v*q = 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -268*t**5\/7 - 1466*t**4\/7 - 1564*t**3\/7 + 26*t**2 + 76*t - 16\/7 = 0.\nAnswer: -4, -1, 2\/67, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727740 divided by -4214?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380 and 99840?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049 a factor of 100120287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-28)\/7 - 11)*(-7)\/(-1). Let f be (84\/u)\/((-2)\/20). Solve 0 = 2*y - 5*k + 10, 0*y + 5*y + f = 4*k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -978, -2343, -3706, -5067?\n\"Answer: v**2 - 1368*v + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 8:15 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*n - 25 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 710475 and 12225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 6:04 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2042, -2043, -2044, -2045, -2046?\nAnswer: -2047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -13\/80341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25)\/9 + 4\/(-18). What are the prime factors of (58\/n)\/((-2)\/3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2914, 2867, 2870, 2923?\nAnswer: 3026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/5 (b) 0.085 (c) -0.5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 18 - 33 = 0, -5 = 3*l + 5*k + 23 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.5 - -13.01. Let z = -19.49 - l. Let f = 19.99978 + z. What is f rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*p - 3*p**2 + 1 + 0*p**2 + p**2 + (-5*p - 2*p + 0*p)*(6*p + p + 8*p) as u*p**2 + v*p + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(-1)\/((-32)\/4)*4. Solve -3*k = -5*b - 4, -3 = -3*k + 4*b + f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -425 by 85.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6659 is divided by 51?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2192 - -968. What is the units digit of ((15\/(-4))\/(-5))\/(10\/j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1651 is divided by 152?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*q - 5*z, 3*q = 6*q - 3*z. Suppose c = 2*g + 901, 7*g = q*c + 9*g - 4565. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-33)*1*(-21)\/(-1)*-2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 1:22 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v**2 + 3*v. Let w(p) = -6*p. Determine y(w(b)).\nAnswer: -216*b**2 - 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x. Let w(p) = -2*p - 5511. Determine w(h(t)).\nAnswer: 8*t - 5511","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2056, 3461, 3616, 1897, -2320, -9659, -20744, -36199?\nAnswer: -56648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25239, -100865, -226889, -403299, -630083, -907229?\nAnswer: -1234725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/4 and 1\/4832?\nAnswer: 4832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) 1 (c) 3\/5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/44 + (-26)\/143)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14100 - -20567. Does 170 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 10*j**2 + 13*j + 22. Determine z(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(475)*-2 + 3)**2 + -5 + 6*(sqrt(475) + 0) + -3.\nAnswer: -1917 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 637, 4, 0, -2 in ascending order.\nAnswer: -2, 0, 4, 637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2637*i - 319*i = -168492 for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 406 and 2552.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/5 (b) -0.6676 (c) 2\/251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-4) + 0 + (-77)\/(-28). Suppose p*q - 127 - 179 = 0. What are the prime factors of q?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 35 - 406 = 0. Let f = 210 + o. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) 5 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -k - 10 + 41, 0 = -4*k - 4*d + 172. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 3*r - r)*(2 - 3 + 2) - r + 3*r + 0*r + (8*r + 5*r - 4*r)*(0 - 3 + 2) + 1811 - 1811 + 174*r.\nAnswer: 166*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31\/2 - 89\/6. Which is the fourth biggest value? (a) 7 (b) 5 (c) 1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21123576 - -5?\nAnswer: -21123571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(810) + sqrt(810)*-4)*1)\/(((sqrt(40)*-4 - sqrt(40))*-5)\/sqrt(8)).\nAnswer: -27*sqrt(2)\/25 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 9 + 4)*(4*a**4 - 5*a**4 + 3*a**4) + (-5*a + 3*a - 10*a)*(-3*a**3 + 5*a**3 + 2*a + a).\nAnswer: -30*a**4 - 36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11778769*w**3 - 18963097.\nAnswer: -35336307*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1\/3, -5, 2\/3, -6 in ascending order.\nAnswer: -8, -6, -5, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32157 is divided by 2475.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1545, 3080, 4559, 5964, 7277, 8480, 9555, 10484?\nAnswer: 11249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.28166 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.7 - -10. What is v rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.7 (b) 9 (c) 6\/3379\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**3)**(2\/11))**(-30) assuming c is positive.\nAnswer: c**(-240\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340639?\nAnswer: 13, 26203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000059436 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 + 4586*p\/3 - 18376\/3.\nAnswer: 2*(p - 4)*(p + 2297)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 129170850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -53, -202, -495, -980, -1705?\nAnswer: -2718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*s**2 + 1 - 1)*(23 - 3*s - 23) in the form w*s + k + u*s**3 + x*s**2 and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -31 + (13 - 2) - (2 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/903 and -11\/14377953.\nAnswer: 100645671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6684.8045 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09 + 4.09. Let h = 5 - k. Let v = 1.2 - h. Which is the closest to v? (a) 5 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 h when four letters picked without replacement from {h: 3, n: 15}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(1 + -2)*5. Let j = -18 - -21. Let v be (-4)\/(4\/j) - -138. What is the highest common factor of v and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*d - 24 - 21, 0 = -d + 4. Let i = 10 - q. Calculate the least common multiple of 2*i - (3 + -2) and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**5\/3 - 17*o**4\/24 - 4*o**3\/3 - 146*o**2. Let l(r) = 7*r**2 - 6*r - 3. Calculate -4*j(g) + 11*l(g).\nAnswer: -3*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*-3 - sqrt(88))*-2 - sqrt(88))\/(sqrt(8)*2*-3) + -2*(-1*(sqrt(396) + 1) - (sqrt(396) + -1 + -5 + sqrt(396) - sqrt(396))).\nAnswer: -10 + 137*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2) + -2 - -8. Let p(t) = -12*t - 129. Let v be p(-11). Suppose -v*n + 8 = -n + g, n = 3*g + 18. Calculate the highest common divisor of n and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*t + 663*t = 1091*t + 31350 for t.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -5)\/((-1)\/(-2)). Solve 0 = q*n - 2*f - 3*f - 9, 2*f + 12 = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(4\/2) + -314 + -333 + 616\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 - 53. What is the greatest common factor of q and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + (18\/153)\/(1\/43). Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-4) - (-12)\/8. Suppose -a*w + 7 + 5 = 0. Let i(y) = y + 2. What are the prime factors of i(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -27\/5 (c) 2112\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 4\/(16\/(-132)). Suppose -3*r + 8*r = -s + 17, -s + 3*r = -l. Suppose 3*u + u + s = 5*b, 0 = -b + 4*u - 1. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 19 = 8321*y - 8316*y, 3*k - 6 = 4*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8\/3, 0.4, -0.1, -2, -21, -0.196, 4?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1573, 1552, 1531, 1510, 1489?\n\"Answer: -21*p + 1594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((4*(sqrt(144) - (sqrt(144) - (sqrt(144) - (sqrt(144) + sqrt(144) + 1*sqrt(144) + sqrt(144))))) - sqrt(144))\/sqrt(3) + -5 + -4)**2 + 4 + -1.\nAnswer: -16383 - 1872*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10035.\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4 + -3*sqrt(931)*1)*-1 + (sqrt(931) + -1 + sqrt(931) + 0 - (sqrt(931) + 0 + -1))*4)**2.\nAnswer: 45619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 259*z + 294.\nAnswer: 259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 9*t**2 - 2*t + 10. Let r = -23 - -15. Let m be j(r). Let h = 92 + m. What is h rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/406 and 29\/28.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*w + w. Let i = w + 14. Suppose 78 = 3*x - 24. Calculate the remainder when x is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.4 - 3.5. Let s = 0.1 + -0.6. Which is the closest to y? (a) s (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2580?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/64 and -51\/444872.\nAnswer: 3558976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -r - 66. Calculate the least common multiple of r and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.3, -189, -2\/19, 1\/3, -1\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 5:21 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -169 - -284. Let d = -172 + b. Let m be (d + -4 + 1)\/(-1). Calculate the greatest common factor of m and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -379 - 116*t - 82*t**2 + 22*t**2 + 31*t**2 - 234 + 36*t**2 with respect to t.\nAnswer: 14*t - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 7:47 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c9cdc (base 15) to base 11.\nAnswer: -3a847a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 1 + 2*t**2 + 77*t - 77*t.\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683965177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*q - 27784, -i - 21*q + 16*q = -6937. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*y + 96, 2*y + 54 = -2*z + 6*y. Let m = -42 - z. What is the remainder when 52 is divided by 0 - m*(-2 + (-38)\/(-5))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1533\/1450 + 26\/25. Let y(m) = m**2 + 4*m - 10. Let w be y(-6). Suppose -3*p - 2 - 4 = 3*s, 3*s - 5*p - w = 0. Which is greater: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.155 and 0.2.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((0 + -1*sqrt(425))**2 - (sqrt(425)*1 + -4)**2) + (-1*sqrt(425)*3 - 2*sqrt(425)*5)**2).\nAnswer: 240*sqrt(17) + 430854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 + -47. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**5\/4 - 111*v**4\/4 + 102*v**3 - 99*v**2 = 0.\nAnswer: 0, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.7553 - 2.3933. Let l = -31 + g. What is l rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1199)\/(-654) + ((-5)\/6)\/5)*(-56 - 10).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 371280 and 1700?\nAnswer: 1856400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0764098626 to 5 dps.\nAnswer: 0.07641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 107 divided by 764221\nAnswer: 107\/764221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2. Let a(l) = 63*l - 2. Let c(y) = 1540*y + 28. Let x(s) = 42*a(s) + 3*c(s). Give x(r(w)).\nAnswer: 14532*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -196 + 268. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.5 less than -288186.5?\nAnswer: -288128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6378*g + 20. Let a(b) = 4*b**2. Calculate k(a(m)).\nAnswer: 25512*m**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-235)\/6580)\/((-6)\/(-21)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32702070 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffbbbfbbbbbbbbbb. Give prob of picking 1 f and 2 b.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6404197*k**2 + 208164. Let q(r) = -4738*r**2 + 154. Determine -7*i(z) + 9462*q(z).\nAnswer: -1577*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6086 is divided by 2633.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 1, -8, -117, 5, 12 in decreasing order.\nAnswer: 21, 12, 5, 1, -8, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-1 + (-12)\/(-16)). Let x be 6\/(-9)*(-2 - u). Solve x*q + 20 + 0 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -63 (b) 10 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 470.3599t?\nAnswer: 470359900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39*p + 811*p + 147*p)*(1 + 0 + 0)*(2*p**2 + p**3 - 2*p**2) to x*p + d*p**4 + i*p**3 + n + v*p**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/169018 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84076349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104971226*p**3*x**2 + 2*p**2*x + 13*p**2 - 5*p*x**2 + 2740*x wrt p?\nAnswer: 629827356*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i**2. Let y(a) = -177*a + 7. Give y(s(o)).\nAnswer: 885*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 731*z - 56*z**2 + 681840 - 681840 wrt z?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 136 = -4*o, 2*c = 3*o - 52 - 53. What are the prime factors of o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 8*m - 37. Solve 2 = -5*i - 4*t, -m*i - 2 = 3*t - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15363 divided by -2.\nAnswer: -15363\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(931) - (sqrt(931) + 2 + 3) - sqrt(931)) + sqrt(931))*6 - (5 + (sqrt(931) - (sqrt(931) - (0 + sqrt(931)))*-4) + sqrt(931) + 1))**2.\nAnswer: 5208*sqrt(19) + 38320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 253 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. Let d = -1 + v. What is the third derivative of 0*s**d - s**2 + 4*s**2 - 2*s**6 wrt s?\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22184, -44434, -66682, -88928, -111172, -133414?\n\"Answer: o**2 - 22253*o + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14 (b) 4 (c) 0.4 (d) -2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -5\/24*o**4 + 0 + 21*o**2 + 1\/15*o**5 + 0*o + 2\/3*o**3. Is n(6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -5 - (12 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13689.5? (a) 0.1 (b) -0.33 (c) -4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4 (b) 13 (c) -2\/9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-12) - (2 + -1). Let d = -51821\/5 - -10363. Let h = 15 - 10. What is the nearest to -0.2 in h, d, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 379448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3017677721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70\/21*(-222)\/4*-17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0236948299 rounded to four dps?\nAnswer: 0.0237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 25*r - 75. Let v be z(3). Which is the nearest to v? (a) -7 (b) 4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.1324631 months?\nAnswer: 0.00094371925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016859391 to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -191889*k + 191864*k - 200 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 862215 and 7759935?\nAnswer: 7759935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 12:53 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 5, -2, -11, -22, -35, -50?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 6 - 3)*(-4 - 1 + 1) + 6 - 1 + 23)*(3*u**3 + 3*u**3 - 4*u**3) + (0 + 2*u**2 + 0)*(-7*u + 0 + 0).\nAnswer: 58*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m + 9298. Let d(c) = 4*c + 4645. Let j(o) = 5*d(o) - 3*k(o). Let w(b) = 2*b. Give w(j(s)).\nAnswer: -2*s - 9338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 24*b - 355. Let y be s(15). Is 113\/21 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1206733 (base 9) to base 3\nAnswer: 1020020211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-18))\/(73\/((-15768)\/912)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 694320*l + 24989040.\nAnswer: 5*(l + 36)*(l + 138828)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 2*d + 21. List the prime factors of b(12).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47785 = 49975*n - 49369*n - 6149 for n.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 18. Suppose 15 = -w*u - 35. Let g be (-25)\/20*(-2)\/u. Which is the second smallest value? (a) g (b) -5 (c) 2\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28318541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1600027 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*i - 9 = 3, -i = -l + 2. Suppose 0 = m - l*a - 4, 12 - 7 = -4*m - 5*a. Which is bigger: m or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.80759ml to litres.\nAnswer: 0.03680759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -8*i - 40. Let u be r(-5). Sort u, -5, 14 in descending order.\nAnswer: 14, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.081 - 1.131. What is the closest to c in 0.1, 5, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16610 greater than 94\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, m: 7, z: 3, d: 2, g: 3}. What is prob of sequence mdd?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1310*b**3 + 5*b**2 + 4*b + 13. Let f(s) = -325*s**3 - s**2 - s - 3. Calculate 9*f(h) + 2*l(h).\nAnswer: -305*h**3 + h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-39)\/(-12))\/((-5)\/(-40)))\/(-2). Sort 5, -3, u, 3 in decreasing order.\nAnswer: 5, 3, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 382 - 19?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -28, -1\/4, 1 in descending order.\nAnswer: 1, 0.5, -1\/4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120563041 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -200*b**4 + 126*b**3 - 1612*b**2 - 10*b - 3 wrt b.\nAnswer: -4800*b + 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/27 and -121\/73206.\nAnswer: 219618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12010120001 (base 3) to base 16\nAnswer: -18a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76960?\nAnswer: 2, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**5\/20 + 7*m**4\/12 + m**3 + 7*m**2\/2 + 64*m - 196. Let x(z) be the first derivative of b(z). Calculate x(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-147))\/((-360)\/(-378))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386 - 4332 = 621*f + 1643 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12472 - 2744 = 16*b. What is the greatest common divisor of b and 512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 78 - 30 = 23*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + a**2 + a. Let t(g) = 4*g**3 - 1 - 5*g**2 + 0*g**2 - 4*g**2 - 2*g. Suppose -24*l + 6 = -18*l. Let o(n) = l*t(n) + 3*h(n). Calculate o(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 197\/14 - -10\/7. Let y be 226\/(-44) - 15\/(-3). Let z = y - -23\/88. What is the common denominator of z and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 994.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/7 + 12*p**2\/7 + 90*p\/7 - 100\/7.\nAnswer: -2*(p - 10)*(p - 1)*(p + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 16, 2 in increasing order.\nAnswer: -1, 0, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3453706 is divided by 641?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -1. Let b(k) = -k**2 + 47*k - 396. Let w be b(11). What is the nearest to f in -3, 1\/2, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42668*s**3 + 10495*s**3 + 1 - 6197*s**3 - 1.\nAnswer: 46966*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 33. Does 10 divide ((-24)\/(-10))\/(c\/320)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 1. Let j be y(3). What is the remainder when (-4)\/(-14) - (-26)\/7 is divided by j + -1 - (-6)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22731 + 22711. What is the nearest to 0 in 4, i, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 4, -3, -63, -4 in increasing order.\nAnswer: -63, -5, -4, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 210749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -16, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 2. Let k be r(3). Let u be ((-50853)\/945)\/(-11) + (-3)\/(-5). Let v = 40\/7 - u. What is the closest to 1 in k, -2\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 6:31 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022032199 to 4 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**5\/2 + 171*l**4\/2 - 2127*l**3\/2 + 6705*l**2\/2 - 3849*l + 1476 = 0.\nAnswer: 1, 2, 12, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*21\/14. Let u(l) = -l**5 - l**2 - 1. Let b(t) = -4*t**5 - 6. Let r(o) = p*b(o) - 6*u(o). Find the third derivative of r(d) wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 86157*d - 86152*d + 166 = 0, 0 = -3*i + 3*d - 111 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -392*o**5 + o**3 + 32690*o**2 + 3*o - 29282742 wrt o.\nAnswer: -7840*o**3 + 6*o + 65380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1434.5 - -1435. What is the biggest value in -0.4, 0.3, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -35683\nAnswer: 321147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0320692777 rounded to five dps?\nAnswer: 0.03207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5006295.4 to the nearest 100000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 6*i**2 - 3*i + 7. Calculate p(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2689 is divided by 96?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(264)*-2)\/(sqrt(1584)*-1))\/(4*(sqrt(1728) + (-2*sqrt(1728) - sqrt(1728))) - (-3*(sqrt(1728) + sqrt(1728) + -1*sqrt(1728)) - sqrt(1728))))**2.\nAnswer: 1\/10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:39 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/(1080\/(-142)) - -1 and -53\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Calculate m(-20).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -3, -6 in descending order.\nAnswer: 6, 5, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**2 + 135889212*x - 135889209 = 0.\nAnswer: 1, 45296403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -73. Suppose 20 = 81*u - y*u. Let l be (2 - u)\/(2*(-3)\/12). Solve 2*k + 7 = -2*v + k, -10 = 2*v + l*k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.01 (b) -2 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -17*t + 9. Suppose -5*c + 125 = -5*f, -7*c + 4*c + 71 = f. What is the smallest common multiple of v(-1) and c?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.547146463 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3903935*r + 3. Let y(a) = 4*a. What is n(y(p))?\nAnswer: -15615740*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-140)\/(-16) + 2\/8. Suppose 3 = -2*r + y. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 194 - 161. Let w = q - 33.28. Is 3\/5 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Let q = 8\/9 - 65\/63. Let t = 7727.8 + -7728. What is the biggest value in 0.5, f, q, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 5:08 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243614 by 7.\nAnswer: -34802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 86 + 182 - 87 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -9094 - 14946. Let g be a\/(-5)*3\/2. Is -3*(-4 - g\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(119)*2*5 + sqrt(119) + sqrt(119) - sqrt(119)))\/((sqrt(252) + 2*sqrt(252) + sqrt(252))*4).\nAnswer: 11*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (22 - (-583176)\/(-26510))\/(16\/570) and 151\/36.\nAnswer: 8676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16004 + 383959\/24. Find the common denominator of -12 - (-4 - 8) - (-3 - (-165)\/24) and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -55?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5816bb4d + 1?\nAnswer: -5816bb4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/4))**(-29) assuming d is positive.\nAnswer: d**(-145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -27*388\/(-11349) - (-3844)\/(-52)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44240*n**2 - 3900*n**2 + 16015*n**2 + 48962*n**2 + 2998*n**2.\nAnswer: 108315*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -8*d**7\/21 + 1184*d**6\/15 - 29401*d**5\/5 + 499555*d**4\/3 - 955598*d**3\/3 + 235298*d**2 + 54*d + 1. Factor s(t).\nAnswer: -4*(t - 49)**3*(2*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from kgdggiioggi?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34258\/(-2447)*1*-2*-2?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 2*p + 7. Let a be t(-3). Solve 6*c = 5*b + a*c + 20, c = -4*b - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c**3 + 14*c**2 + 12*c. Let i(h) be the third derivative of -h**6\/60 + h**5\/12 + h**4\/6 - 305*h**2. Determine 11*i(p) - 4*y(p).\nAnswer: -2*p**3 - p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-9)\/6 + 1) - (279 + -695). Calculate the highest common divisor of z and 633.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-70)*5)\/((-12)\/10).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-18) - 74\/(-9). Let v(f) = 1. Let p(m) = m - 3. Let t(n) = p(n) - 3*v(n). What is the least common multiple of 1 and t(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1739 (base 13) to base 11\nAnswer: -2637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 63*d - 332. Let b(o) = -50*o. Give x(b(f)).\nAnswer: -3150*f - 332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/199? (a) 4 (b) -3\/5 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*n. Suppose n*m + 25 = 5*m. Let j(y) be the second derivative of -y**4\/12 + y**3 - y**2\/2 - 2*y. Give j(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 87 - 72 = 0. Suppose 2*y + y = -3*o + 369, -h*y = -o - 357. Does 30 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20, -64, -170, -368, -688, -1160, -1814, -2680?\n\"Answer: -5*x**3 - x**2 - 6*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -4. Let l = -6 - u. Let s = 1 - l. Which is smaller: -2\/9 or s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/2)*x)\/x*x**(-4\/11) assuming x is positive.\nAnswer: x**(47\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.32 + 0.3036. What is k rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-95001)\/(-9) - 12\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + a - 17, 0 = -5*g - 5*a + 1 - 36 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 30*c**2 + 124*c + 96.\nAnswer: 2*(c + 1)*(c + 6)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14049 and 4683.\nAnswer: 14049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 926, 943, 960, 977, 994?\nAnswer: 1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 187\/5? (a) 11 (b) -5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1267 by 9352.\nAnswer: -181\/1336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132660140*r**2 + 3809*r - 39832?\nAnswer: -265320280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -871\/7 - -14915\/126. Let p be 45\/24*(-112)\/36. Let x = f - p. Which is the third smallest value? (a) x (b) 0.7 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*p**5 - 4*p**5 - 2*p - 9*p**2 + 2*p wrt p.\nAnswer: 480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**11\/t*t*t*t**(1\/2))\/(t\/(t\/t**(-12))*t*t**9))**(-5\/2) assuming t is positive.\nAnswer: t**(-165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 118766282933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 337706958 divided by -6\nAnswer: -56284493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5537 = 5*w. Let q = 169 + -2706. Let n = q + w. Round n to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9994489 meters to micrometers.\nAnswer: 999448.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 + 18)\/(4\/(-14)). Let t be -5 + (d\/(-3) - 0). Factor 0 - 84*q**3 - 108*q**4 - 36*q**5 - t*q**2 - 8\/3*q.\nAnswer: -4*q*(q + 2)*(3*q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36\/12 - -8639 - -13.\nAnswer: 3, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 4*u**2 + 3*u - 3. What are the prime factors of n(-7)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c782 - -1e?\nAnswer: -c764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 78 in -136.24, 4, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 25, 47, 77?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by 2.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + d - 20. Suppose -2*c + 25 = m, 5*c - 155 = -5*m - 25. Let t = d + m. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1641 + 180. Let r = -1097 + x. What are the prime factors of r?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 39*d**2 + 82*d - 81. Give n(-41).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5\/5 - 1118*x**4\/5 - 39876*x**3 - 2204300*x**2 + 14497150*x - 12252750 = 0. What is x?\nAnswer: -255, -155, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 107*a - 55*a + 2 - 54*a. Let j be v(1). Suppose -3*l = 2*w - 243, -l + 67 = -j*l - 4*w. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53939 and -0.91?\nAnswer: 49084.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -37 + (-2 - 16).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + -6*(sqrt(34) - sqrt(68)\/sqrt(2)))\/((sqrt(550) + sqrt(22) - sqrt(22))\/sqrt(11)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by -4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 463.2779 nanoseconds?\nAnswer: 0.0000004632779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -10 - 3 - (-2 + 4)) + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1651 + 3639 - 1273 = -309*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 5*i + 604, g - 2*i - 975 = -4*g. Suppose -3*v - 4*k + g = -114, 4*v = -2*k + 426. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13271751?\nAnswer: 3, 31, 47569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 + 0.06. Is -0.6 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37458597, 37458598, 37458599, 37458600?\n\"Answer: h + 37458596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 756253*n - 756253*n + 23*n**2 - 9*n**2.\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3297 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 137600 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 452 and 1243?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + g + 4. Let k be m(0). Suppose 16 = 2*h - h + 2*y, 0 = -k*h - 5*y + 58. Solve 0 = -b - 5*x + 2*x - 7, 4*x = -h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 198, 12, -5, 11 in decreasing order.\nAnswer: 198, 12, 11, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (5*(sqrt(84) - sqrt(84)*2))\/(sqrt(12) - (sqrt(1200) + 2*sqrt(1200) + sqrt(1200) - sqrt(1200) - sqrt(1200))))*6.\nAnswer: 30*sqrt(7)\/19 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*h**3 + 5*h**2.\nAnswer: -5*h**2*(6*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**6\/60 + m**5\/30 - m**3\/3 + 2944*m**2. Determine s(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 12, -2\/3, -428, 2\/57?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(208)\/sqrt(4) + sqrt(104)\/(4*sqrt(16)\/sqrt(2)) + 3)*3)**2.\nAnswer: -81*sqrt(13)\/2 + 9621\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**2 + 25*k + 14. Let o be s(-18). List the prime factors of o\/24 + 2\/3.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 5. Let o be (3\/(-4))\/(-3) - 1. What is the nearest to 1 in s, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312889680 divided by -90.\nAnswer: 3476552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 97034 + 128261. Suppose 0 = 29*d - 24*d - y. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 9 = 3*i + 2*i, -2*s + 18 = 2*i. Calculate the highest common divisor of 9 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*n**2 - 46*n**2 - 30*n**2 + 123*n**2.\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 13*n**2 + 2*n + 26. Let f be p(-13). Sort -58, -5, f in descending order.\nAnswer: f, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -71711301.\nAnswer: -28684520.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3108*u**3 - 4*u**2 - 7*u - 4. Is z(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3 (c) 187 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1977*h**2 - 3*h - 9793.\nAnswer: 3954*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = 1. Suppose -7*y + 30 = -w*c - 2*y, 2*c - 3*y = -14. Let v = -8 - c. Sort v, 4, -3 in descending order.\nAnswer: 4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269931 (base 10) to base 2.\nAnswer: 1000001111001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -10 (b) -2 (c) -1858 (d) -4\/7 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 55*k**2 + 122*k + 458. What is i(-57)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2455*l - 2649*l + 192 + 4*l**2 - 7*l**2 + 5*l**2 = 0.\nAnswer: 1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 18*o**2 - 5*o + 55. Let v(l) = -116*l**2 + 32*l - 352. Let s(n) = -32*i(n) - 5*v(n). Let j(x) = -141*x**2 - 2*x. Give j(s(p)).\nAnswer: -2256*p**4 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -28. Let a be (-1)\/p - 4\/8. Which is bigger: -6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -24*g - 255. What are the prime factors of t(-32)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283351 divided by -657?\nAnswer: -283351\/657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*u**3 + u**3 - 26*u**3 + (u + 0*u - 3*u)*(3*u**2 - 2*u**2 - 2*u**2).\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((48\/(-10))\/4)\/((-2)\/10))\/(84\/(-1302))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**3 - 5096*j**2 + 35574*j = 0.\nAnswer: 0, 7, 2541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/14)\/(180\/28).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 968 + -331. Suppose -u = -k + 18. Is k a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 13*z**2 - 9*z - 39. Let f be o(12). Suppose -3*d = 4*a + 14, -7*a + 5*a - 22 = 4*d. Sort 0, 2, f, d.\nAnswer: d, f, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 10*f - 15. Let j be m(6). Let a = 74 - j. Suppose 3*n - 5*q = 104, 5*n + a = -3*q + 191. Calculate the remainder when 96 is divided by n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 47656*n + 7 - 8*n**2 - 9*n**2 + 16*n**2.\nAnswer: -n**2 + 47656*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b + 3*b + 1 - 1 - b + b + 0 + 0 + 0*b + b + 0*b + b - b + b + (-2 + 5 - 2)*(b - 2 + 2) + 1 + b - 1 - b + 5*b - 3*b)*(1 - 4 + 6).\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/8, 0.02, 30\/121, -3, -6, 1\/6?\nAnswer: 30\/121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6412696*m**4 + m + 69900 wrt m.\nAnswer: -76952352*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s + 246. Let m be (-4)\/22 - (-25164)\/99. Suppose -3*w - c + 98 = -144, -3*w + 2*c + m = 0. What is the highest common divisor of s and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10737 - -10912. Calculate the greatest common factor of d and 1120.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((81\/4)\/(10\/(-40)))\/1. Let n = w - -86. Suppose 3*f - n*u = 32, 4*f + u = -u + 8. Solve 0 = -f*i + i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/(-360))\/(220\/(-24)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.78801 and -0.4.\nAnswer: 2.315204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1095 + -649. Let k be f\/14 - (288\/42 - 7). Calculate the highest common divisor of k and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 909783.4kg?\nAnswer: 909783400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -x + 3*x + 19, -a - 2*x - 1 = 0. What is the second derivative of -v**3 - 22*v + 19*v - 2*v**a wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 427561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1)\/(1*(-5)\/10). Suppose 5*i - 31 + 6 = 0. Which is the second smallest value? (a) i (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (5 + -1 - (22 - 16) - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -13632314?\nAnswer: -13632307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/(sqrt(392) + sqrt(392)*-2))\/(sqrt(216)\/sqrt(9)*5))**2.\nAnswer: 3\/4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (16 + -11 - 10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 3*w - 1. Let b be k(2). Let l be -6*b*4\/(-12). Let y be ((-1)\/(-3))\/(l\/6). What is the greatest common divisor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*sqrt(13))**2 - ((sqrt(13) + -1)**2 + 4)) + -4.\nAnswer: 2*sqrt(13) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.593 - 43.4. What is j rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69506069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 61*p**2 - 34*p + 7. Is c(-12) 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 113\/1170774 and 11\/6?\nAnswer: 1170774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.01, 1\/9, 10797?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7419 and -3198.8?\nAnswer: 10617.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1910, -3820, -5730, -7640?\nAnswer: -9550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - y - 2 = -5*y, -4*f + 2 = 5*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 7:28 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*w = 668 - 351 + 533 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/(-2))\/1 + 2. Let n = -614 + 614. What is the closest to n in -0.2, -1\/3, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -397, -426, -505, -658, -909, -1282?\n\"Answer: -4*b**3 - b**2 + 2*b - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5, -16, -63, -148, -283, -480?\n\"Answer: -2*q**3 - q**2 - 4*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-45)*9 - (5 + (-108)\/102)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -118465, -118559, -118619, -118627, -118565, -118415, -118159, -117779?\n\"Answer: 3*j**3 - j**2 - 112*j - 118355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19\/10 - 2\/5. Let z(p) be the second derivative of 0*p**3 + 1\/2*p**4 + t*p**2 + 3*p + 0 - 1\/20*p**5. Calculate z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 127*b**3 - b**2 - b + 1. Let s be u(2). Let c = 6\/1793 - -9149649\/8965. Let r = s - c. Calculate the common denominator of r and 1\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 120.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/5)*d**(-4)\/d*(d**(1\/3)\/d*d)**(3\/4))\/((d\/d**(1\/4))**(-3\/40))**(-1) assuming d is positive.\nAnswer: d**(-737\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14276\/91 - -2032\/13. Let a = 2.1 - 0.1. Let u = 4 - a. Sort 1\/3, g, u in descending order.\nAnswer: u, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34\/101 or 0.54?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 27 + 7. Find the third derivative of -40*z**2 + 7*z**2 + 13*z**2 + v*z**6 wrt z.\nAnswer: 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(48\/39))\/(2\/368). Suppose -338 = -9*f + m. What is the least common multiple of 2168\/f + 4\/26 and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*j - 23 - 22 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*k**5 + 11*k**4 - 65*k**2 wrt k.\nAnswer: 300*k**2 + 264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2054182, 4108367, 6162552?\nAnswer: 8216737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -10. Which is the smallest value? (a) -1\/2 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*r + 5, -1286*w + 1283*w = 4*r - 25. What is p in 32\/15 + 24\/5*p**w + 128\/3*p**2 - 54\/5*p**4 - 96\/5*p = 0?\nAnswer: -2, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/4 + 102\/68?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 12*l**3 + 5*l - 22. What are the prime factors of b(-3)?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k**3 - 40*k**3 + 75*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**(-25\/6)*a)\/(a\/a**(-1\/7))*a\/a**7*a*a**(-23)*a assuming a is positive.\nAnswer: a**(-1189\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -834 - -829. Which is the nearest to -3\/7? (a) 1\/3 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404*m + 491*m + 870 = 0. Put 0, -4, 5, m, 25 in increasing order.\nAnswer: m, -4, 0, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjfd when four letters picked without replacement from {j: 1, t: 1, d: 1, u: 1, h: 2, f: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20999 and 13591831.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 y when three letters picked without replacement from {y: 9, l: 5}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18549 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9965.93 + -9966. Sort u, -0.3, -2\/7, 3, -2 in descending order.\nAnswer: 3, u, -2\/7, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -51*m + 76*m + 58*m. Let v(h) = -112*h**2 - 112*h**2 - 110*h**2 + 333*h**2. Calculate u(v(n)).\nAnswer: -83*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 + 30*p**2 - 9*p - 13. Let x(g) = g**3 + 12*g**2 - 4*g - 6. Let q(o) = -3*b(o) + 7*x(o). Calculate q(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3780 + 9923. Is u a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -1, 2, 9.64 in decreasing order.\nAnswer: 9.64, 2, 3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-144)\/(-8))\/3)\/(((-6)\/3)\/1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 123618 and 161078?\nAnswer: 5315574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 46. Calculate the remainder when 148 is divided by z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1750086 (base 9) to base 3\nAnswer: 1211200002220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1753886976 and 1536.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63342505.\nAnswer: 5, 509, 24889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -5*y**4\/4 - 3*y**2\/2 - 26. Find the second derivative of n(v) wrt v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from enncebbbesseebbben. What is prob of picking 1 b and 1 s?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 269006842 and 6844?\nAnswer: 3422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j - 611 = -4*j - 326. Let n(v) = -2*v**2 - 38*v - 5. Give n(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s + 3 + 0*s - 4*s - 14*s**2 - 2*s - 2*s**3. What is the remainder when u(-7) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**4\/7 - 144*j**3\/7 + 964*j**2\/7 - 1824*j\/7 + 144 = 0.\nAnswer: -42, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1380)\/(-70))\/(-23)*(-112)\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -143 (base 13) to base 7\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*f - 4 = 3*u, 4*u - 28 = -3*f. Suppose -7*z = -9*z - u. Is 13 a factor of 1 + (-50)\/z - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*n - 3587 + 8724 = -7811 for n.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2*10 - (-186 + 74). Suppose -2*j - 52 = -6*j. Calculate the highest common factor of j and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2 = -2, -2*r - 16 = 4*i. Let o = 12 - 11. Let c(z) = -z**3 - z**2 - z - 1. Let t(b) = -2*b**3 - 4*b**2 - 3*b - 3. What is i*c(a) + o*t(a)?\nAnswer: a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 + 50 = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/101 - 376\/707. Let t = -0.37 - -0.07. Which is the third biggest value? (a) 2 (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 3316*t - 1255037.\nAnswer: (t - 343)*(t + 3659)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -30042.0101 rounded to the nearest 10?\nAnswer: -30040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krrwrrrwklkrrslwrws. Give prob of picking 1 s and 1 w.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -190 - -190.5. Which is the smallest value? (a) 10 (b) 0.2 (c) 5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88802?\nAnswer: 2, 7, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.42 and 0.12.\nAnswer: -0.1704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.38 - -12.62. Put j, -0.4, -0.1 in ascending order.\nAnswer: -0.4, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**(-1)\/p)**27)**(-37))**(-5\/14) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**3 - 2*i**3 - 3*i**3)*(-i - i + 4*i) + 2*i**4 + i - i to the form m*i**3 + f*i**4 + p + v*i + h*i**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*f**3 + 141*f**3 - 90*f**3 + f**2 - 2*f**2.\nAnswer: 513*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = n - 413, 2*n + 213 = 2*s - 65. Let k = -97 + s. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 + 170*d**3 - 1740*d**2 + 4950*d - 3375.\nAnswer: -5*(d - 15)**2*(d - 3)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 14*y**2 + 16*y + 13. What is b(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 3.84.\nAnswer: 23.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 2, -1, -2, 1\/3, -1.1, -5\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -519 + 561. Suppose 19*r = -2*r + l. Solve r*z - 5*y + 8 = -0*z, -z - 4 = -y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + l - 104, -105*g - 18*l + 3848 = -13*l + 1033 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 5*o = 2, 3*j - o - 3*o - 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/3693 and -71\/1851.\nAnswer: 2278581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3860, -3866, -3868, -3860, -3836?\nAnswer: -3790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3 + 2 - 7*u**2 - u**3 + 0*u - u. Let y be p(-7). Suppose -3*i + y = -30. What is the remainder when 55 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/4935 and -193\/103230.\nAnswer: 33962670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a + 3. Let u(v) = -7*v - 5. Let p(r) = -6*u(r) - 10*z(r). Let o(q) = -2*q. What is o(p(h))?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21332222 - -303?\nAnswer: -21331313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -183.2 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/3 and (-1 - 0) + 160\/18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2131302 - -22?\nAnswer: 2131330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + n**3 - 2*n**3 + 1 - n**3 + 1 - 1 + (-1 - 2*n**2 + 1)*(-6*n + 5*n + 0*n) + 2*n**3 + n**3 - 2*n**3.\nAnswer: n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 11:13 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31875*p - 1672510 = -5051260 for p.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37454442 by 6242407.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -16.3, 9.96, -2, 0?\nAnswer: 9.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 m when two letters picked without replacement from {m: 1, t: 2, b: 3, g: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 928054*y - 984935.\nAnswer: 928054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 4*p - 2. Let z be g(3). Suppose 2*n - 5*i + 7 = 0, 2*n - 3*i = -2 + 1. Let o = z + n. Sort -1, 4, o.\nAnswer: -1, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -88*u**3 + 11*u + 0*u**4 + 89*u**3 - u**4 + 4 + 9*u**2 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**3 - 1766*z**2 - 1637*z?\nAnswer: 12*z - 3532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 364483*n**5 + n**2 - 3115677*n.\nAnswer: 7289660*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -5 + (-7 - -12) + -11?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28916896 - 1.28916969. Let a = -1 - l. What is a rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -55330*i + 60. Let b be v(-18). Round b to the nearest ten thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -311*j**2 + 866*j - 1217141?\nAnswer: -622*j + 866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.87 and 2336?\nAnswer: 2032.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 16*g + 15. Determine k(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/(-22) - (-6)\/33)*(-196)\/84?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t + 17. Let x(q) = -3*q**2 + 2*q - 1. Let h(y) = -13*y**2 + 8*y - 4. Let a(n) = h(n) - 4*x(n). Determine a(g(v)).\nAnswer: -4*v**2 + 68*v - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -805, -1818, -3237, -5062?\nAnswer: -7293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3\/2 (b) -0.09 (c) -0.3 (d) -3.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310*b = 319*b + 81. Sort 2\/33, b, 2\/5 in descending order.\nAnswer: 2\/5, 2\/33, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9718.2 rounded to the nearest 10?\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1006139, 2012270, 3018401, 4024532?\nAnswer: 5030663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -0.8\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - 2 - (4 + -8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 g when four letters picked without replacement from {f: 3, q: 10, g: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.47007 times -3?\nAnswer: 4.41021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 2*m**2 + 3*m**3)*(0 + 2*m**2 + 0) - 2*m**5 + 2*m - 2*m.\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -321 (base 4) in base 11?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 2) + (23 - -1). Suppose l - x = 6*l. Let b(f) = -f**3 - 4*f**2 + 4*f + 1. Determine b(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 32.88766 millimeters?\nAnswer: 0.03288766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*b + 27, -6*t + t + 3*b = -37. Let p(l) = 4*l**2 + 0*l**2 - 3*l**2 + 11 - 8*l. What are the prime factors of p(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g - 2. Suppose 0 = 7*z - g*z - 310. Suppose 4*o - 6*o = -z. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 90\/8*(7 - (-102)\/(-18)). Suppose 4*c + 24 = 4*x, 2*c + n = 9*x - 6*x. What is the second smallest value in x, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 + 2.32. Let u = 0.53 - -0.17. Let k = y + u. Which is the smallest value? (a) -5 (b) 2\/17 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2\/7 (c) -5 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -229, -2, 6, -1.\nAnswer: -229, -2, -1, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 748464620 to the power of 1\/2, to the nearest integer?\nAnswer: 27358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, x: 2, c: 1, i: 2, w: 1, h: 2}. Give prob of picking 1 i and 1 c.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3))**(-40)\/(r\/(r\/r**(3\/8))*r**(-19)\/r))**(-24\/7) assuming r is positive.\nAnswer: r**(-3351\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*-4*-2*-1*sqrt(153) + 5.\nAnswer: 2 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1174 = -o + 5*l, 2*o + l = 3*l + 2364. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 7:52 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 25. What is the third smallest value in -1, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(3) - sqrt(432)*-1)**2.\nAnswer: 78*sqrt(3) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89030320*b**3 + 6*b**2 + 8874*b wrt b.\nAnswer: -534181920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 + 80. Suppose 0 = 4*j - 5*j - 4*o + 28, -p*j + o = -95. What is the remainder when 91 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/11*-1)\/((-1269)\/(-7755))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*q + 12 = 0, -3*q - 8 = 68*o - 60*o - 9*q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + n**2 - 2*n)*(3*n + 8*n**2 + 3*n - 10*n**2 + (n - 3*n + 3*n)*(7 - 7 - n)).\nAnswer: -3*n**4 + 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2890 and -65\/3468.\nAnswer: 17340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -b + 2*b - 26, 0 = 5*b + 3*d - 86. Solve -b = 5*n - 9*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*o**2 + 8*o**3 - 50*o**2 + (4*o**3 - 3*o**3 - 3*o**3)*(2 - 1 + 2).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**6\/75 + 61*m**5\/150 + 133*m**4\/30 + 49*m**3\/3 - 686*m**2\/15 - 2*m + 42. Factor h(q).\nAnswer: 2*(q + 7)**3*(3*q - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -265 - -101. Let z = 163.6 + x. Sort -0.1, -1, z, 1.16 in ascending order.\nAnswer: -1, z, -0.1, 1.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*2\/(-8)*-2. Let k be -4 - -5 - (h + 0). Suppose 3*b = 5*f + 5*b - 64, k = -f - 2*b + 8. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/4)\/(8\/(-16)). Solve h + 4*h = j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 41. What is the common denominator of 87\/8 and (1 - c) + 904\/48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129 divided by 4379\nAnswer: 129\/4379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/5 + 654*v**4\/5 + 1066*v**3 + 10058*v**2\/5 - 528*v - 2680 = 0. Calculate v.\nAnswer: -5, -2, 1, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1216) + 0))**2*2.\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 2*b**2 - 2*b + 3. Let v be i(3). Let f = -37 + v. Solve 5*x + 25 = -2*w, 4*x - x + 34 = -f*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21436142 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.05 - -5. Let d = 0.27 + z. Round d to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940402?\nAnswer: 2, 470201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1257 + -695. Let h = q + -559. Solve 4*a = h*a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -75\/8 in 0.1, 2, 2\/7, -0.93, 1?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1307557 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.6 - 27.6. Let i be 1463\/99 + -15 - (-8)\/18. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -1\/60*p**6 + 4\/3*p**3 + 0 + 4*p - 1\/10*p**5 - 13\/2*p**2 + 0*p**4. Let n(q) be the first derivative of x(q). Factor n(r).\nAnswer: -2*(r - 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 2*i + (-2 + i + 2)*(0 + 1 - 2) - 9*i - 9*i + i - 1 + 2*i + 1 in the form x + y*i and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50919 = 47*h + 51389 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-15)*6\/3. Let m be (-2)\/(-4) - 3\/(-2). Let g be (-20)\/(-28) - (-1 + m). Which is the nearest to g? (a) y (b) 0.3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0.1 (c) 1 (d) -3 (e) 74\/7 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 81 = 12*k, 880*k + a - 1 = 880*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + 10 - (7656\/(-616) - 6\/(-14)). Let d(n) = -3*n**3 - 3*n**2 + 1. Let s be d(-3). What is the greatest common divisor of s and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 9*m - 20. Let s be i(-4). Suppose 4*l + 32 = 4*u, -2*u - 19 = -0*l + 5*l. Solve s = -5*q + u*q + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 802eb (base 15) to base 7\nAnswer: 3306500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173154.\nAnswer: 2, 3, 28859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*d**2 - 6*d**2 + 0*d**2)*(-2*d - 2*d + 3*d) + d - 3*d**3 + d**3 - 2*d + 2*d**2 to the form m*d**3 + o*d**2 + g*d + v and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 912460*n - 1363226*n - 20092*n - 3128016*n.\nAnswer: -3598874*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 52 * -2896\nAnswer: -150592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + (0 - (-1)\/(-2)). Let y = 28 - 55\/2. Which is the closest to g? (a) y (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y\/(y\/(y*y\/(y*y**(-1\/11))*y)))\/y)\/y**11)\/((y*y*y**9)\/((y*y\/(y**(2\/3)*y))\/y*y)) assuming y is positive.\nAnswer: y**(-613\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**5\/30 - p**4\/12 - p**2. Factor m(d).\nAnswer: 2*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2 (b) 1 (c) -0.1 (d) 2\/11 (e) -8\/15 (f) 0.6 (g) 5\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-134)*(-5497)\/3. Let m = l - 1\/134. Find the common denominator of -17\/4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4674, 9349, 14024?\n\"Answer: 4675*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + 1 - 1)*(910*b - 910*b + 6*b**2).\nAnswer: 12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 not equal to -114\/161827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 792506*-40.\nAnswer: -31700240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 3*p)*(0*p + 0*p + p)*(0*p**2 + 4*p**2 - p**2)*(0 + 2*p + 0).\nAnswer: 12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (7 + (-2)\/((-90)\/95)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-9))\/(2\/12). Is -2 - w\/(4\/(-74)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 1198503*a - 3595536.\nAnswer: 3*(a - 3)*(a + 399504)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -3)*-1 + -256. Let m = r - -261. Let t(g) = 5*g + 2. Let k(z) = 51*z + 21. Give m*k(v) - 42*t(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -263998 divided by -28\nAnswer: 18857\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5265\/(-108))\/(15\/2)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 881 = -18*z + 737 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30333 + 30336. Let n(y) be the third derivative of 0 - 19\/120*y**6 + 0*y**5 + 0*y - 26*y**2 + 1\/6*y**o + 0*y**4. Differentiate n(h) wrt h.\nAnswer: -57*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 5:23 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 28. Suppose -d - 4*f + 14 = 1, 2*d = a*f. Let g be 0 - -2*(2 - 1). Calculate the highest common divisor of g and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/9 - 4844\/(-63). What is the greatest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.56955 + -0.28886. Let f = -3.02 + 4.3. Let a = n - f. Round a to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 821484321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126 - 42. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4185196.4 to the nearest 10000.\nAnswer: 4190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -21*n - 320. Let z(p) = -p**3 + 14*p**2 + 24*p - 150. Let s be z(15). Give o(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -264, 5.\nAnswer: -264, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 433780 and 45?\nAnswer: 3904020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94577.\nAnswer: 7, 59, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - -13. Let q = -11 + l. What is the highest common factor of q and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1, 1\/5, 3\/10.\nAnswer: -1\/2, 1\/5, 3\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 10) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/14 - 18\/7. Suppose -5 = -2*d + 3. Let u be -2*(-2 + d)\/(-6). What is the biggest value in k, 2\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -0.43302?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 + 5*r**2 - 4*r + 6. Let j(l) = 2*l**3 - 4*l**2 + 3*l - 5. Calculate -4*j(i) - 3*k(i).\nAnswer: -2*i**3 + i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-408)\/(-30)*(-10)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*((sqrt(5) + 0 + 5)*-6 - sqrt(40)\/(sqrt(2)*-1)))**2.\nAnswer: 8640*sqrt(5) + 35280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 802250.9 + -0.7.\nAnswer: 802250.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8202057774 a multiple of 9791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 265, -4 in decreasing order.\nAnswer: 265, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421 - 140 - 138 - 143 + 301*w.\nAnswer: 301*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.103 - 0.103116. What is m rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.48 + -0.38. What is the biggest value in 2, 1, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -3. Suppose -x*h - 36 = -0*h. Let m = h - -12. Solve -4 = 4*l - m*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -2, 0.2, -15\/7, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3456461 rounded to 3 decimal places?\nAnswer: -2.346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 11*r + 4. Let q(x) = 25*x + 9. Let w(t) = 9*j(t) - 4*q(t). Let z(c) = -c - 5. Give w(z(f)).\nAnswer: f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*4*1. Solve -w*k - 5*h - 17 = 0, 4*k - 2*h = -k + 30 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o + 13. Let a be 15\/(-9)*(0 + -3). Let g be s(a). Suppose 25*x - g = 21*x. Which is smaller: x or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - o - 2 - 4)*(-18*o**2 - 19*o**2 + 41*o**2).\nAnswer: -4*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 55 + 22. Let i(d) = d**2 - 8*d - 10. What is the units digit of i(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*h = 456, -3*i + 8*h = 6*h - 264. Calculate the lowest common multiple of 30 and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 62.\nAnswer: -21\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/8*(5\/1 + -3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-17)\/17)\/((-2)\/(-1)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.06 + 0.06. Let a = 294 - 357. Let k be 112\/a - (-12)\/27. What is the second biggest value in k, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + 3 - (-6 + 14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 9851.\nAnswer: -9851.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 405 - -226. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 258*g**2 - 22*g**4 - 16*g**4 + 72*g**4 - 27*g**4 to r*g + w*g**3 + z*g**4 + c*g**2 + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -13, 0.08, -2, -0.6?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, i: 1, b: 2, v: 2}. Give prob of sequence obi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 4*q**5\/5 + 6*q**4 + 44*q**3\/3 + 12*q**2 - 62. Let f(x) = 0. What is x?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5682)\/(-30) + (-2)\/5. What is o rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x - 4*x = 35*x - 1541. Solve p - 15 = 2*n, 5*p - 27 - x = 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 289*d**2 - 1 + 299*d**2 + 56*d**3 - 590*d**2 - 2*d in the form s*d + z*d**2 + g*d**3 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 573109257 to the power of 1\/2, to the nearest integer?\nAnswer: 23940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*f + 708 = 71*f. What is the remainder when f is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*x = 53*x - 158*x + 4864 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5220 and 450?\nAnswer: 26100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 323552267 times -0.2\nAnswer: -64710453.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.94 + -7.29. Let z = a - -2.85. Suppose 4*r + 73 = -h + 10, 0 = -5*r - 2*h - 78. What is the third smallest value in r, -0.1, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13802)\/1133 - (-4)\/22?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 457.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (105\/10)\/((-1)\/(-6)). Suppose -5*j = -f - 78, 5*j - o = -3*f - f. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -123986 from 0.0454202.\nAnswer: 123986.0454202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1046122 divided by 74723.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42026 = -34*a + 22860 + 6174. Calculate the remainder when a is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16244763 to the power of 1\/3, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**3 - 6*i**2 + 12*i + 4. Let w(d) = -4*d**3 + 6*d**2 - 13*d - 4. Suppose 0 = -6*h - 10 + 34. Let m(t) = h*w(t) + 5*c(t). Calculate m(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.12 (b) -5\/2 (c) 1\/4 (d) -5206 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -336 (c) -1 (d) -2 (e) 3\/4 (f) 144 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 6:56 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d*d**6*d*d))\/d*d))**3*d**(-13)*(d\/(d*(d\/d**0)\/d))\/d assuming d is positive.\nAnswer: d**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.0672.\nAnswer: 0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -10.09. Let i = -0.01 + u. Let s = 0.3 + i. What is the closest to -2\/9 in 4, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 3. Let k(i) = i - 2. Let y(s) = -s**3 + 2*s - 1. Let l be y(-2). Determine l*k(r) + 2*c(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.085641 to 3 dps.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*g - 27 + 44 - 144*g - 17.\nAnswer: 77*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 215*s**2 - 78*s**2 + 7*s**2 + 116*s**2 to n*s + g + u*s**2 and give u.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 142.\nAnswer: 1\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*l)*(209*l + 50*l**4 - 217*l + 15*l**4).\nAnswer: 130*l**5 - 16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 5 (c) -0.2389\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*q - 8, -4*p = -3*q - 3*p + 4. Let n be 2\/(((-48)\/2894)\/2). Let i = n + 242. Which is greater: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34600 less than -0.02?\nAnswer: -34600.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*r = 13, 3*l - 4*r + 0*r = 8. Solve l*z - 1 = q, -5*q - 3*z = z + 29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164730, -329472, -494224, -658992, -823782, -988600?\nAnswer: -1153452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -36, -1\/4, 0, -2, -0.18, -2\/7?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 8:52 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*a - 788 + 788 to s*a + x and give s.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i = -23*i + 53*i - 41340. What are the prime factors of i?\nAnswer: 3, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Suppose -q - 2*a + 8 = 0, -3*q + 8 = q + 2*a. Suppose t + 2*t - 5*g = 0, d*t + 3*g = q. Solve -v = -t - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.61 - 28. Let p = m - 0.01. Suppose -3 = 5*n - 8*n. Which is the closest to n? (a) p (b) -2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + 2*z)*(-8 - 8 + 5)*(3*z**3 - 5*z**3 + 4*z**3 + (-2*z + 2 - 2)*(4*z**2 + 9 - 9)).\nAnswer: 198*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 50. Suppose -3*p - 2*a + 312 = p, k*a - 75 = -p. What are the prime factors of p?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24181 is divided by 226.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 44?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/7 + 91090*b\/7 - 2074347025\/7 = 0 for b.\nAnswer: 45545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/42)\/(22\/77). Sort 1, j, 0.4, -3\/2 in descending order.\nAnswer: 1, 0.4, j, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v - 2. Let d be y(2). Solve 0 = -2*n + 2*t + 8, n - 6 = 3*t - d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2 + 0*f**3 + 49*f**2 - 22*f - 4 + f**3 - 47*f**2. Calculate the remainder when 199 is divided by k(-4).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4729 and 24?\nAnswer: -113496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*i + 12 - 20*i + 49*i)*(-3*i - 2 + 2)*(1 - 1 + 2*i**2)*(20 - 65 + 7).\nAnswer: 1596*i**4 + 2736*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3*h - 3*h)*(4*h + 0*h - 5*h) - 48746*h + 48746*h + 13 + 3*h**2.\nAnswer: 2*h**2 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34213114 (base 5) to base 13.\nAnswer: a859b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5687044587?\nAnswer: 3, 7, 311, 32251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/5*1\/2)\/((-279)\/18135).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10201100 (base 3) to base 14.\nAnswer: db7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 10*s**2 - 8*s + 8. Let o(b) = b**2 - b + 1. Let k(p) = -8*o(p) + z(p). Let v(f) = 23*f. Calculate k(v(l)).\nAnswer: 1058*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -201 + 174. What are the prime factors of k\/5*(2 + 8 - 165)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 - 463*y**2\/2 - 6771*y - 32400.\nAnswer: -(y + 6)*(y + 25)*(y + 432)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 11:26 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2. Let t(p) = -1101*p - 16. Let q be t(-6). Let r(z) = -6590 + 6*z + q. Give w(r(c)).\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(72))\/(sqrt(4) + (sqrt(36)*2)\/sqrt(9))*4.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + 0 + -3 + 3 + sqrt(320) + 3))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 - 15*u + 5. Let l be c(7). Suppose 4*q = q - 2*h + 154, l = 2*q + 3*h. Suppose -2*i = -302 + q. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*m = 8*m + 19*m + 1736 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 y, and 1 z when three letters picked without replacement from yzzzyxyzyyyzyxzzxyzx?\nAnswer: 64\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 334*g**2 + 676*g.\nAnswer: -2*g*(g - 169)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/10 + -1)*150\/10140. Is -1 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 298\/78723 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41441556 divided by 6.\nAnswer: 6906926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6*j + 29*j = 325. Calculate the remainder when 207 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-1*-6)\/(1*sqrt(768)) + -3*(0 + 2*sqrt(1008) + sqrt(1008) - sqrt(1008) - sqrt(1008)))**2.\nAnswer: 139167\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 11*f**7\/21 + f**6\/10 - f**5\/20 - 476*f**3\/3 + f**2 - 10*f + 4. Find the second derivative of n(h) wrt h.\nAnswer: 440*h**3 + 36*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2451113 - 8232*u**4 + 2446713 + 4*u - 4*u wrt u?\nAnswer: -32928*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(6\/23)\/(m**(-3)*m*m**(-8)) assuming m is positive.\nAnswer: m**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1286 + -1119. Sort r, 2, -2, -3 in increasing order.\nAnswer: -3, -2, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 10:44 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + z - z)*(4*z**3 - 17*z**2 + 17*z**2).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -308 - -0.08421756757\nAnswer: -307.91578243243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Suppose p + 29 = s*l, -2*l - 5*p - 3 = -2. Solve -3*m - z = -8*m + 20, -z = -3*m + l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74542680361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35193.83mg to kilograms.\nAnswer: 0.03519383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.548 and -765?\nAnswer: -419.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/7)\/n**(-3)*(n**(8\/9))**(15\/11) assuming n is positive.\nAnswer: n**(907\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*w = 56, -w - 16 = 3*f - 2. Factor f + 3\/7*h**2 + 0*h**3 + 0*h - 3\/7*h**4.\nAnswer: -3*h**2*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1322*b**4 - 3176*b**2 + 19*b + 492331 wrt b.\nAnswer: -15864*b**2 - 6352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -25, -77, -181, -355, -617, -985?\nAnswer: -1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -11) + -20 + 6.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 divided by 4?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**2 + 6*q - 12. Let z be b(10). Suppose -10900 - 5291 = 9*r. Let l = z - r. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8417?\nAnswer: 19, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 13*r = -106. What is the smallest common multiple of 4 and r?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -519*c + 10*c**2 + 25*c**3 + 8*c**3 - 599*c - 181*c + 0*c**3 wrt c?\nAnswer: 198*c + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 119, 117, 115, 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4020 and 17183088?\nAnswer: 85915440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -5\/5093311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j + 2*j + 0*j)*(-6 + 6 + 2*j**2) + 35 + 3*j**3 - 175 - 2*j**3 in the form z*j**2 + v*j**3 + f + r*j and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/9 + 30\/9. Let v(c) = 14*c + 3. Let q be v(n). Suppose -4*z + 448 = 4*j, 3*z - 4*j - 388 = -q. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**4 + 288*k**3 - 7312*k**2 - 74880*k = 0.\nAnswer: -90, -8, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/841225 and 101\/1575.\nAnswer: 7571025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2683, -2395, -2103, -1807, -1507?\nAnswer: -1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o = 11*o. Solve -t + 3 - 4 = o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189504 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -299, -1026, -2169, -3728, -5703, -8094, -10901?\n\"Answer: -208*b**2 - 103*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20856 and 358.2.\nAnswer: -7470619.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/522 or -18666?\nAnswer: -18666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305816*f + 305816*f - 3*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -83 - -a?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -921 < -925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**4 - 180*w**3 + 1700*w**2 - 3900*w + 2376 = 0.\nAnswer: 1, 2, 9, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) -2 (c) -1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1793908*w - 5 - 12*w**3 + 1793916*w - 3587824*w.\nAnswer: -12*w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 16*k + 11. Is l(-16) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y - 11*y - 12*y - 4*y.\nAnswer: -52*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + (sqrt(1377) - (sqrt(1377) - sqrt(1377)*4)) + 1 + sqrt(1377) + 0 + sqrt(1377) + 0)**2.\nAnswer: -216*sqrt(17) + 49573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-261)*(-108)\/(-36)*-1.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1441, -1880, -2319?\nAnswer: -2758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -958416*d**3*s**2 + 1106*d**3*s - 6*d**2*s**3 - 2*d**2*s + 34*d - 2*s + 2 wrt s?\nAnswer: -1916832*d**3 - 36*d**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 766 and 5565756?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*p + 4. Let b = -17 + 23. Solve 0*c - b = p*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 1354034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 196*d - 24295. Calculate t(123).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -183*d - 2383. Let z be t(-13). Sort 1, z, 5, -2, 39 in ascending order.\nAnswer: z, -2, 1, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4578.16 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aansssnsnnn. Give prob of picking 3 s.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*h + 111. Find the second derivative of -w + 21*w + 9*w**4 - w**2 + 12 + w**2 - h*w wrt w.\nAnswer: 108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 10 (b) -0.1 (c) 9 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.28 - 3.88. Which is the nearest to -1\/4? (a) -0.1 (b) 0.3 (c) r (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(18))**2 + 2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 - 7*x - 1. Let i(o) = o. Suppose -43*c + 42*c + 6 = 0. Determine c*i(q) + b(q).\nAnswer: -2*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 12. Let m be c(7). Let s be -1 + (-5)\/(m\/1701). Let k = 2579 - s. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((0 + 5*(1*(0 + sqrt(99) + -1) - (1 + sqrt(99) + -3 - ((-1 + sqrt(99) + 0 - sqrt(99)) + sqrt(99)))))*-4)**2.\nAnswer: -79200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255990 = -1798*d + 1763*d. What are the prime factors of d?\nAnswer: 2, 3, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115096*q - 12 = -z - 115093*q, 5*z - 60 = 2*q for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-42) + 0 + (-8)\/(-6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12132 (base 5) to base 7\nAnswer: -2450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 14*h**2 + 2*h - 14. Let f(c) = -c**2 - c - 1. Let u(q) = -2*f(q) - s(q). Find the first derivative of u(p) wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 101 = -l, -4*f - 2*l = -7*f + 150. Let t(s) = -35*s - s**2 - 27*s - 20 + f*s. Let b be t(-6). Solve 1 = i - b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 2208 = -4*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 74048, 148176, 222298, 296414, 370524, 444628?\n\"Answer: -3*r**2 + 74137*r - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*k - 10 = 0, -111 = -5*g + k - 113. Let h(q) = q**2 - 7*q + 6. Let i be h(4). Sort i, g, -5 in ascending order.\nAnswer: i, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z - 5. Let y = -39 - -43. Give m(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 4)*1\/6 + 0. Which is the nearest to h? (a) -3\/2 (b) -29 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (13 - -3 - (101 - 70))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 2*n - 2\/3*n**3 + 1 + 0*n**2. Let i(x) = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2.8, 0.0561, -0.19, -0.25, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(sqrt(2) + -1) + ((sqrt(8)\/sqrt(4) + 2)*1)**2.\nAnswer: 5 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 14 = -2*q. Let t = q - 4. Suppose 5*p - t*p = 12. Solve 3*w + 21 - p = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198093413 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from cuicli?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2861 - 2855. Solve -1333 = i*m - 1327 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021.7 times -3?\nAnswer: 6065.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from suuaavmsmueuaueaaeaa?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**3 - 3*h**2. Let i(g) = g**2 + 6*g - 2. Let j be i(-6). Let w be o(j). Solve -x - w = -2*s, -4*s + 10 = 3*x + 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51360733 is divided by 1575.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8439*r - 12522*r - 17310*r - 2 + 2434*r.\nAnswer: -35837*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3466)\/4)\/(9\/(-18)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12414 smaller than -10145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 55324*a**2 - 110664*a.\nAnswer: 4*a*(a - 13833)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2631241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -784850318*o**4 + 10518305*o + 6 wrt o?\nAnswer: -9418203816*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58.98 + -58.979960708. What is y rounded to 6 dps?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 27995340\nAnswer: -1\/6998835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - f**2 - 3*f + 3. Let w be i(2). Let n be (w + 0\/1)\/1. Let h = 0 - -4. Which is smaller: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -71) + (-7 - (-13 + 25 + -23))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 - 2*q - 3. Let u be 5 + 1*-1*2. Let b(i) = -2*i**2 + i + 2. Let f(g) = u*s(g) + 5*b(g). Let o = 35 - 37. What is f(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/3, -0.1, -18\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*u - 3 = -u, 4*u + 12 = -3*g. Let f be (1*-1)\/((-5)\/10). Let j = g + f. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 - -120. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 204, -4, 5, 4 in increasing order.\nAnswer: -4, 4, 5, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*z + 5*n, -2*z - 356 = -4*n - 338 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 23 = 5*f, 9 = -4*f - 3*o - 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 26*l**3 + 8*l**2 + 21*l - 118. Is s(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 192810 to the nearest one thousand.\nAnswer: 193000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 70317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 32099*c**2 - 7*c + 18. Let a be r(27). Round a to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**3 - 17*c**2 - 8*c. Let v(o) = 3*o + 6*o**2 + 34 - 34 - o**3. Let y(i) = 3*r(i) + 8*v(i). Find the third derivative of y(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8856 and 1836?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -n - 11, -n + x = 3*n. Let k be n\/2 - 164\/(-8). Let s(q) = -23*q + 26. Let t be s(-1). Calculate the greatest common divisor of t and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*h - 48. Let q = -11 - h. Suppose 446*a - 2988 = -301*a. Put -16, q, a in increasing order.\nAnswer: -16, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2724*s - 64782 = 14214 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 7) to base 12.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18118?\nAnswer: 2, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 11*j + 1100. Let g be w(-46). What is the greatest common divisor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11714957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -0.3. Let g = -0.08 + 2.08. Let d = 0.44 - 0.04. Which is the nearest to w? (a) g (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 4, 2\/15, 224?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(8) + sqrt(128)))\/sqrt(3).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 4 + 4)*(-i + i - 4*i).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/61707 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r - 12, -l + 14 = 3*r. Suppose -l*g + c - 165 = -49, -296 = 5*g - 4*c. Let z = 106 + g. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**3 + 0*g + 0*g)*(11 + 43 + 37) to t*g + a + f*g**2 + k*g**3 and give k.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -11*i - 68. Let b be o(-6). Let r = 22 - 18. Calculate the remainder when b*((-234)\/r + 2) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + o + 1. Let v be z(0). Let q = -84793 + 169585\/2. Which is the nearest to q? (a) v (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*f + 31*f + 19*f + 12*f + 14*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*n - 153 + 31353. What is the greatest common factor of n and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 - 4*w**2 - 5*w + 14. Does 13 divide j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9608 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 43\/(-6) + (-6)\/(-36) - (-13 - -14). Is -274\/29 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*v + v. Suppose -2*d - 3 = -5*d. Let i = 92 + -369\/4. Put d, i, v in decreasing order.\nAnswer: v, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*u - u, -2*w - 10 = -4*u. Let x(i) = -5*i + 0*i + 2*i**u - i**2 + 2. Determine x(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 3 - -6 - 0\/(-1). Put y, 13, -2 in ascending order.\nAnswer: -2, y, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -19 - 22 - 2*q**2 + 3*q**2 - 6*q. Let v be 3\/7 - (-14985)\/(-2331). What is the tens digit of d(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2262 = 33*v + 40*v + 14*v for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h**3*n - 248969676*h**3 - 3533807*h*n + 5*n wrt n.\nAnswer: -4*h**3 - 3533807*h + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119231390*x**4 - 4*x**3 - 139459*x**2 - 2591 wrt x.\nAnswer: 2861553360*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 215, 441, 679, 935, 1215?\n\"Answer: a**3 + 219*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55.47 and 509.\nAnswer: 28234.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0 - 8. Let z(u) = 4*u**3 - 10*u**2 + 9. Let t(j) = -3*j**3 + 9*j**2 + 3*j - 10. Let k(w) = -3*t(w) - 2*z(w). Calculate k(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1925913?\nAnswer: 3, 11, 17, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s + 12. Let y be t(-5). Is y bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (5 + -11 + 11)) + -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -21*l**2 + l. Give q(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 5*u, a = -3*a + 2*u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpqpqppqqqppqqqp. Give prob of picking 4 q.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, e: 2, j: 2, r: 1, a: 6}. What is prob of picking 1 o and 1 e?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3201 divided by -3201?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(9)\/sqrt(3) - sqrt(3) - sqrt(3)) + 3*(sqrt(9)\/sqrt(3))**2)*6 + 4 + (2*sqrt(12) - sqrt(24)\/sqrt(2))**2.\nAnswer: -6*sqrt(3) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 3*z**2 + 3*z - 2. Let f(v) = v**2 - 9*v - 8. Let l be f(10). Let t be p(l). Let w(k) = -k**2 + 8*k + 61. Let a be w(-5). Sort -3, a, t.\nAnswer: a, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8*g - 5. Let h(k) = -3 - 4*k + 0 - 2 + 2. Suppose 0 = -n + 2, 474*n - 471*n = -5*z - 44. Give z*h(i) + 6*x(i).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -106 - -1027?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**3\/5 + 418*a**2\/5 - 7864*a\/5 - 38208\/5 = 0.\nAnswer: -4, 24, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 5*p + 30. Let g be (1\/p)\/((-4)\/48). Suppose -h = -5*d - 148, g*h + d - 481 = 27. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/27? (a) 3\/8 (b) -3 (c) -15 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9314275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 5. Let d be p(-5). Let k = 9 + d. Solve -k*c - c = -15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29770.2 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 + 79*l - 162. Let k be t(2). Solve -3*o + k*o = 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 6*h + 160 - 109 + 195, -5*y + 6*y + 4*h = -2*y + 164 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 193024414 to the power of 1\/3, to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -21 - 22 + 3*t + 11*t + 55. Let x(m) = -6 + m + 11 - 4 + 0. Calculate -v(f) + 12*x(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 - (-48 + 36 + (-6 - 4)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-45)*(-3)\/(3\/5).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011923282024 to seven dps.\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -31, 1 in increasing order.\nAnswer: -39, -31, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -6 + -9 + (-7 - -1 - 7).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 34*f - 420. Let p be z(-46). What is the greatest common divisor of 108 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5 - 9224\/(-1848))\/((-144)\/3051) and -15\/154.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/11 (b) -5 (c) -1 (d) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - 37) + -41 + -3 + (-9 - -11)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2266 - 2265.99998521. Round r to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, i: 1, c: 9, j: 1}. Give prob of sequence rj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + m - 16, 60*m - 62*m - 8 = 0. Solve 2*y = v - 16 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*u + 22 - 22 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvm when three letters picked without replacement from {v: 7, m: 5}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10827572254170 minus -4?\nAnswer: -10827572254166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 29*c - 274. Give s(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 20 = 5*m, -z + 8 = -2*z + 2*m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*d + 73, -d = 2*j + d - 48. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) - (-1)\/(-2). Suppose -4*n + 2*v - 16 = 0, 5*v + 8 = -2*n - u*v. Let b be 2*6\/(-4) - -6. Put n, -3, b in ascending order.\nAnswer: n, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 728.4482 centuries?\nAnswer: 7284.482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1419*i + 4240. What is f(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -4) + -39 + 17 - -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(42) - (sqrt(42) - (sqrt(2688) - -2*sqrt(2688))))*-4*6)\/((sqrt(168) - (sqrt(168) - 1*sqrt(168)))\/((sqrt(70) - sqrt(70)*2)\/sqrt(10))).\nAnswer: 4 + 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 0*h + 6*h)*(-2*h**2 - h**2 + h**2) - 5*h - h**3 + 5*h + (4 - 2 - 3)*(3*h - 3*h + h**3).\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10000100010010111110000 (base 2) to base 13\nAnswer: b8a254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 0*j**3 + 0 - 2*j + 1\/6*j**4 + 5\/2*j**2. Differentiate m(f) wrt f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 0*g + 0*g)*(27 - 8 - 10).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 6*c**2 + 4*c - 2. Let j be 5\/5 - (3 + -4)*(-16)\/(-4). Give t(j).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -l + 9. What is the lowest common multiple of l and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.466194 to two dps.\nAnswer: -6.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, c: 2, a: 7, o: 3, q: 1, m: 2}. What is prob of sequence oaf?\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**2 - 323*n - 1996. Let p be s(-74). Put p, 9, -4, 12 in decreasing order.\nAnswer: 12, 9, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (5 - (0 - (6 - 11)))) + 11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -5, 0, 2\/19, -0.1, 298\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/143, 0.5, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 5*m**2 - 4. Suppose -3 = -3*t - 5*x - 7, x = -5*t + 8. Suppose -t*g + 5 = -g. Suppose -2*d + g*d - 15 = 0. Give n(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 17*s - 8)*((3*s - 6*s + s)*(2 - 3 - 1) - 8*s - 2*s - 3*s) to the form l*s**2 + f*s + a and give l.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 0, -4*q + 0*q - 9 = -y. Suppose -14*r + 10 = -y*r. Differentiate -22*x - 4*x**3 + 22*x + r with respect to x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 2748.\nAnswer: 3\/916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (5 + -9)) + (1 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*m + 7 = 14, -5*m + 1 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/6 - 352\/(-66). Suppose 15 = -2*o + 7*o. Suppose -o*d + 22 - m = 0. Solve -9 = -d*b + 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t - 2*t - t)*(-19 - 2 + 3) to the form v*t + s and give v.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68517123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-4)\/((-20)\/5))\/5.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7, -0.052, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -15\/1265552 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12364 - 12364 - 16*h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/17 in 3, -0.01, 5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/40*-6 - 163\/(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/131 - -259\/393. Let u be ((-338)\/114 - -3)\/(2\/(-6)). What is the nearest to 0.1 in 1\/9, z, u?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, n: 4, g: 1, b: 2, v: 2, a: 9}. Give prob of picking 2 v and 1 a.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 16*f**3 - 7*f**2 + 2*f - 8. Let y(m) = 15*m**3 - 6*m**2 + 2*m - 7. Give 5*u(a) - 6*y(a).\nAnswer: -10*a**3 + a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpvmwmmdvmppvm. Give prob of sequence vp.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (275\/(-2475))\/((-1)\/(-51))*-2*-3\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -23 - (-169 - -165) - -4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6749, 52998, 178471, 422780, 825537, 1426354?\nAnswer: 2264843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a = 14. Let i = -11 + a. Is 22 a factor of i\/10 + 112\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2\/5 - 315067896*u\/5 + 24816944772466704\/5 = 0.\nAnswer: 157533948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 1. Let l(x) = 7*x + 6. Let t = -16 + 10. Let k(c) = t*s(c) - l(c). Let n(g) = -g. Give n(k(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -134 - -133.7. Let z = -5 + 4.98. Which is the nearest to 0? (a) z (b) y (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 328*j**3 - 7*j**2 - 14*j + 14. Let h(y) = -328*y**3 + 6*y**2 + 13*y - 12. Give -7*h(f) - 6*x(f).\nAnswer: 328*f**3 - 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-1\/3))\/y)**(8\/5)\/((y**5\/y)\/y**(-3\/5)))\/((y**(-1)*y)**32)**(2\/59) assuming y is positive.\nAnswer: y**(-61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3\/20561 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-12 - 3 - (3 + -9))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n - 69 = 81. Calculate the highest common factor of 55 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**4 - 673*f**2 - 3*f + 10. Let x(p) = -p**4 + 2*p - 2. Let s(d) = -g(d) + 2*x(d). Find the second derivative of s(j) wrt j.\nAnswer: 24*j**2 + 1346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 106a - -3438a?\nAnswer: 35416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 283 - 227. What is the units digit of ((-5)\/15)\/((-1)\/r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -94*z + 573. Let j(q) = -21*q + 129. Let s(d) = -40*j(d) + 9*t(d). Let m(c) = -c**2 + 3*c + 2. Let k = 0 - -4. Let p be m(k). What is s(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-32))\/s*s\/s**(-6\/7))\/((s*s**(-32)*s)\/(s*s*s**4\/s)) assuming s is positive.\nAnswer: s**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -58. Solve c = 15*o + 9*o + 24 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 30 = 3*d, 4*f = -5*d - f + 20. Calculate the remainder when 32 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -294830\nAnswer: -176898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.8007 nanometers in millimeters?\nAnswer: 0.0000748007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 - 1)*6\/(-4). Let w = -10 - p. Suppose 4*s = 16, -3*d - s + 20 = -w*s. Let k(v) = v**3 - 7*v**2 - 9*v + 4. Calculate k(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -0.5, -131994\/13, 0.5 in descending order.\nAnswer: 0.5, 3\/7, -0.5, -131994\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10246176, 10246164, 10246138, 10246092, 10246020, 10245916, 10245774?\nAnswer: 10245588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-5))\/4 + (-37686)\/(-165). Solve 223 = u + k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -548200 to the nearest 10000.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) 1.1 (b) 0 (c) -2\/5 (d) -4\/5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*q = -192*q + p - 18, 2*p = -5*q + 21. Solve o + 3 = -q*b, 0 = -6*b + b - 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -42*h - 3. Let b be p(-2). Let r(q) = q**2 - 6*q - 28. Let l be r(-5). Calculate the highest common factor of b and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6) + (-1220)\/(-60). Let g = 6844 - 40925\/6. Calculate the common denominator of g and 13 - 17 - (-146)\/h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8624.0201 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*p**2 + 8210841*p - 2052711.\nAnswer: 3*(p + 684237)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggwgwggggg. What is prob of picking 3 g?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 54, -0.4, -4, -92, 10?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-32))\/((-112)\/336)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 101, -12308\/7, -2\/15?\nAnswer: -12308\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d - g = 53, -12 = 4*g. Factor h**2 - 39*h**5 + 34*h**5 - 5*h**3 - d*h**4 - h**2.\nAnswer: -5*h**3*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.01 + 2.99. Which is the second smallest value? (a) w (b) -0.2 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w - 21. What is the units digit of g(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3) - (-11)\/33*-3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 6022?\nAnswer: 36132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32844231?\nAnswer: 3, 7, 173779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, p: 3, d: 9, i: 5}. What is prob of picking 1 d and 3 i?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 4*i**2 + i - 2. Let o be u(3). Let l = -7381\/126 - -391\/7. What is the common denominator of l and (o\/96)\/((-2)\/(-436))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 1962*x + 13787. Give g(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 774577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1301549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-12))\/((-14)\/42).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62110498.\nAnswer: 2, 163, 190523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37836142\/195 + -194032. Let j = 4\/39 + o. Which is the nearest to -1? (a) j (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(243) + 0 + -3 + sqrt(243) + -1 + 5)*1)**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121851 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from jffbdfdoijiobf.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565786.\nAnswer: 2, 13, 47, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minus 0.0846?\nAnswer: 234.9154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 36 = 2*a - p, -2*a - 4*p + 44 = 0. Calculate the remainder when 1006 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 2*x**5\/15 + 5*x**4\/24 + x**2. Let i(l) = 9*l**2 + 6*l. What is -6*b(d) + 5*i(d)?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -41*u + 171. Let y be r(4). Let b be y\/28 + (-3)\/12. What is the third smallest value in 3\/19, -1, b?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55831508 to the nearest integer?\nAnswer: 7472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9141 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 105. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -1. Let b = -131.3 + 131.7. What is the smallest value in 0.2, -1, b, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 1563*f**4 + 3127*f**3 - 20317*f**2 + 15617*f + 10 = 0.\nAnswer: -5, -1\/1563, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 w, and 1 x when four letters picked without replacement from {w: 16, x: 3, u: 1}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1279*l**3 - 17*l**2 + 5*l + 11. Determine q(1).\nAnswer: -1280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-30) - 46\/(-28).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 506?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 31, -11, -0.1, -1\/7, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 28631*w**2 + 4*w - 25. Let q be u(-7). Let f = q + -565866. What is f rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1398 = 13*i - 11160 - 19930. What is the lowest common multiple of 24 and i?\nAnswer: 13704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {n: 1, i: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u + 2*u + 0*u)*(6 - 2 - 5)*(5*u - 4*u - 2*u) + (-u + 2*u + u)*(-7*u + 2*u + 2*u) in the form o*u**2 + a + m*u and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -2, -287, 164, -0.7 in decreasing order.\nAnswer: 164, -2\/9, -0.7, -2, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 - 2*i**2 - i - 4. Let f be 1*(3 + -1 - (-2 + -14)). Let h = 22 - f. Let u(m) = m**3 + 2*m**2 + m + 3. What is h*u(z) + 3*s(z)?\nAnswer: -2*z**3 + 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (3 - 1 - 6). Suppose -6*w = -d*w - 12. Let n = 8 + -7. Solve r = -n, -7*g + w*g + 4*r - 16 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = -8*d + f - 7, 0 = 2*f + 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13964713 is divided by 44473?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**5\/60 + h**3\/18 + 4*h + 4. Let d(n) be the first derivative of t(n). Let d(o) = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 7, v: 2}. What is prob of picking 1 s and 1 v?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y - y)*(-124*y**4 - 130*y**4 + 228*y**4).\nAnswer: -26*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2807571?\nAnswer: 3, 13, 193, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**4\/12 - i**3\/3 + 29*i**2. Give f(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**3 + 16492503371 - 7*m**3 + 29*m - 16492503371.\nAnswer: 2*m**3 + 29*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4246 (base 9) in base 14?\nAnswer: 11cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-1\/7)\/d)*d\/d**2)\/(d**(-2)\/d)**(24\/5))**(2\/5))**(-2\/61) assuming d is positive.\nAnswer: d**(-2176\/10675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7082.091 millilitres in litres?\nAnswer: 7.082091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8516 > 8694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/655 less than 124\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**3 - 142*a**2 - 555*a - 414 = 0.\nAnswer: -138, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 2\/11453?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*n + 1 = 0, -5*n + 6 = -0*a - a. What is the remainder when (a - 13)\/(-3 - -2) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3834986, 7669973, 11504956, 15339935, 19174910?\nAnswer: 23009881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 - 4. Let b = 27 - 18. Let g(z) = -4 - z**2 + 0 + 5. Suppose -8 = -3*h - 2*s, -7 = -5*h - 2*s + 5*s. Determine b*g(k) + h*t(k).\nAnswer: -k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2666 and 7294?\nAnswer: 19445804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n + 8. Suppose -16 = 4*l - 40. What is t(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**32*(h**(-1\/2)\/h)**(-19\/4) assuming h is positive.\nAnswer: h**(-199\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r**2 - 4*r. List the prime factors of p(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1225.57 + 335.13. What is h rounded to the nearest ten?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 3*r**2 - 3*r - 1. Let x be m(4). Suppose -4*o + 3*n - 131 - 2383 = 0, -x*n - 1896 = 3*o. Round o to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 - 602\/5. Sort -2, s, 5 in decreasing order.\nAnswer: 5, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + x**2 + 2*x + 2. Let i = 8 + -4. Suppose i*v + 0*v + 29 = 3*g, -32 = -4*g + 4*v. Suppose -w + g = 5. Calculate j(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 + (-155)\/(-9). Find the third derivative of -17*i - 2*i**2 + h*i + 6*i**4 wrt i.\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*a**3 + 406*a**5 - 408*a**5 + 56*a**3 + (a**3 - 2*a**3 + 3*a**3 + 0 + 0 - 3*a**3 + (-2*a**2 + 2*a**2 - a**2)*(-a + 2*a + a))*(2*a**2 + 1 - 1).\nAnswer: -8*a**5 + 94*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -5, 12, -0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*s - 3*s. Suppose -18 = -5*j + 2*c + 11, -s*c - 31 = -5*j. What is the biggest value in -3, j, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5406 - -23?\nAnswer: -5373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from yfywjwffwfjf?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 17. Let c be -3*(g + 33\/(-9)). Solve 6 = c*f + 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10881, -10846, -10755, -10578, -10285, -9846, -9231?\nAnswer: -8410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/32*24\/60. What is the fourth biggest value in -0.4, m, 1, 3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 4 = 2*c + 2*z, 4*c = z - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 1)*(-3 - 1 + 2) + 68 - 44 + 288)*(-1 + 2 - 2)*(-3*d - 4*d + 0*d).\nAnswer: 2156*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 44*(-9)\/324?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(2*w + w - 5*w)*(4 - 4 - w**2)*(-2*w + 9*w - 4*w).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 3*z + 3. Let t be ((-6)\/12)\/((-2)\/16). Let l be r(t). Let q be 0\/(-3 - -1) + -2. Which is greater: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 97*m - 422. What are the prime factors of t(43)?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 201*m**3 - 3*m**2 - 40*m - 1643. What is the second derivative of i(h) wrt h?\nAnswer: 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 9*c + 10. Let z(s) = -s**3 + 4*s**2 + 6*s + 3. Let x be z(5). Let o be n(x). Solve -o*p + 4*p + 5*j - 7 = 0, -23 = 2*p - 5*j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38, 19, -12, -55, -110?\n\"Answer: -6*j**2 - j + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbblbblbllllbbbllbbb. What is prob of sequence ll?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 5. Let m = 12 - 4. Let l be k(m). Let j be (-2)\/(-7) + (-111)\/l. Which is bigger: -16\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(8\/(-2)*14\/140). What is the least common multiple of 16\/80 + 29\/g and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 24*r + 120. Let o be u(-5). Solve o = 2*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 43\/4 of a meter?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6191?\nAnswer: 41, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102 + 111. Suppose 68*j = 65*j + p. Solve -2*b - j*b - 10 = -4*x, -4*b = 2*x - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/3 + -4\/3. Let j = -77 + 384\/5. Let v = -7.5 + 7. What is the second biggest value in k, j, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1409.1 + 1409. Which is the third smallest value? (a) -5 (b) 14 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(18)*-1 + sqrt(18)))\/(sqrt(441) + sqrt(441)*1 + sqrt(441)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32565547?\nAnswer: 7, 664603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -389 - -367. Let t(c) = -5*c - 91. What is the remainder when 757 is divided by t(v)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -85, -175, -265, -355, -445, -535?\n\"Answer: -90*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6102250013 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225.1*-4.\nAnswer: -900.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -10*c**2 + 1. Let z = 149 + -154. Let p(d) = -d**2. Determine z*p(w) + s(w).\nAnswer: -5*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i**5 - 5*i**4 - 2*i**3 + 8. Let c(n) = -n**5 + n**4 - 1. Let o = -15 - -39. Let k(x) = o*c(x) + 3*l(x). Factor k(w).\nAnswer: -3*w**3*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 7 = 368*z - 373*z, 9 = -g + 3*g - z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.307 + 14.877. Let d = -14 + n. Let x = 0.03 + d. Which is the second smallest value? (a) 0.3 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18301 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -63\/112271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t + 39. What is n(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 32 = a + 3, 5*s - 4*a - 92 = 0. Let v(n) = 389*n + 1985. What is the smallest common multiple of s and v(-5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2*d - 3*d)*(-9 + 4*d + 9)*(0*d - 2*d**3 + 0*d).\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p - 35. Let g(c) = -c**2 + 229*c - 2802. Let n be g(13). Calculate t(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3042 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61\/549 - (9 + -5 - 230\/(-45))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -7\/4*v**4 + 10*v - 2 + 0*v**3 + 0*v**2. Differentiate a(h) wrt h.\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39347981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b = 4. Let c(t) = -51*t - 6 + b - 4 + 8. Is c(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and 41 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 3*o - 5*o = -2*t - 6, 4*o - 803 + 729 = 10*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 4569742.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -16, 13, -3, 10, -1 in ascending order.\nAnswer: -16, -4, -3, -1, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-9) + -5*12\/(-126).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (5\/15 - 11\/6)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -957, -1, 30 in decreasing order.\nAnswer: 30, -1, -957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**3 - 8*a**2 - 11*a - 7. Suppose 1 = -4*k - 5*n, -5*k + 35 = 9*n - 10*n. Is w(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f + 9. Let r(g) = 5*g - 9. Let t(b) = 2*i(b) + 3*r(b). Differentiate t(s) wrt s.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/4))**(-18)\/(o**(4\/5)\/(o**0\/o)))\/((o*o**2)**(-43))**(16\/5) assuming o is positive.\nAnswer: o**(777\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - b = -5, 0 = 5*m - 3*m + 4*b. Let f = 9 - m. Let n = f + 12. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-208)\/6)\/(-13)*(75\/9 - 9)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**8\/320 + s**6\/90 - 5*s**4\/6 + 5*s. Let a(l) be the third derivative of t(l). What is the second derivative of a(k) wrt k?\nAnswer: 126*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11779, 3, -39 in decreasing order.\nAnswer: 11779, 3, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 147 - 83 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*r = 70*r - 208. Suppose 6*f + 32 - r = 0. What is the greatest common factor of f and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*11267\nAnswer: -45068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.5 + 0.1?\nAnswer: 32.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x\/x**0))\/x)\/(x*x*x**(1\/7)))\/((x*x*(x*x*x**1*x*x)\/x)\/x**(-4)) assuming x is positive.\nAnswer: x**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -2\/71480133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+142105073795\nAnswer: 142105073794.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -6.527.\nAnswer: 6.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-6))\/(4\/6). What is the second biggest value in 0.7, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -135, -295, -513, -789, -1123, -1515?\nAnswer: -1965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, u: 1, c: 1, p: 1, n: 4, d: 5}. What is prob of sequence pdu?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 2*d**5\/15 + 2*d**3\/3 - 77*d**2. Let i(a) = a**2. Determine o(i(q)).\nAnswer: 8*q**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 28984909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -655, -608, -489, -316, -107, 120?\n\"Answer: -3*o**3 + 54*o**2 - 94*o - 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 50*m**2 - 203*m + 25. What is the tens digit of c(-47)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -1020 - 84. What is the remainder when p is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*r - 5536 + 5110 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (287\/168 - (-3)\/(-8))*3. Solve -2*i + m*c = -6, -i = -0*c - c + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24, 85, 178, 297, 436, 589, 750, 913?\n\"Answer: -g**3 + 22*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91270526 a multiple of 1774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74484987 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l - 1. Let r(c) = -4*c - 1. Let h(m) = -3*o(m) + 4*r(m). Let y be h(-3). Let f be (-98)\/(-315) + y\/(-10). Which is bigger: f or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5903422?\nAnswer: 2, 7, 59, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(567) + 3)*-5 - ((2*sqrt(567) - sqrt(567))*-1 - (sqrt(567) - (sqrt(567) + 1 + -4)))**2.\nAnswer: -324*sqrt(7) - 666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1117204, -5, 0 in decreasing order.\nAnswer: 0, -5, -1117204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**2 + 5*c + 17. Let l(p) = p**2 - 2*p - 6. Let z = 3 + -12. Let a be (66\/z)\/(1\/(-3)). Suppose i = -i - a. What is i*l(k) - 4*v(k)?\nAnswer: k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 70 + (25 - (-11 - -62)) + -5\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19573, -13495, -7417, -1339, 4739?\nAnswer: 10817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 (base 12) in base 10?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.766 + 0.214. Let u = 25.98 + -26. Let s = u - i. Which is the closest to 1? (a) 3 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010 (base 2) in base 6?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.0631 - 0.0631. Put b, 6\/7, -0.4, 0.4 in decreasing order.\nAnswer: b, 6\/7, 0.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24525 * 4\nAnswer: 98100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 7 (c) 35\/3 (d) 5 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)\/(f**3\/f*f))**47 assuming f is positive.\nAnswer: f**(-423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k - 40. Calculate m(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 11*l - 9. Let w(t) = -2*t**2 - 12*t + 10. Let m(a) = -4*g(a) - 3*w(a). Find the common denominator of 76\/3 and m(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + 32. Suppose -5*b + 5 = t - 4, 2*b - i = -2*t. Let q = -98 - -102. Solve -2*y + y + 12 = 4*w, -q*w + 2*y + t = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006901 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-384)\/(-10) + -1 + (-21)\/(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 v when three letters picked without replacement from {w: 1, v: 2, y: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -4 + -1 + -34 + 25 + 11 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f + 39d?\nAnswer: 3bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 7*n**2 + 2*n - 4. Let b be m(3). Let a = b - -70. What is the units digit of (a\/60)\/((-2)\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0035267 and 10881.\nAnswer: 10880.9964733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -242, -109\/8, 4\/5, 2\/19 in descending order.\nAnswer: 4\/5, 2\/19, -109\/8, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200201 + -22022?\nAnswer: 1101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Suppose 55 = o + p*o. Suppose -2*g = -3*v - o, -g = -5*v + 6 - 1. What is the highest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4622153 and 11?\nAnswer: 50843683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*-1*-5)**2 + (sqrt(108) - (0 + sqrt(108) + sqrt(108)*-1)))*1.\nAnswer: 6*sqrt(3) + 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-15) + (-8)\/(-5). Let h(o) = -2*o + 2*o**3 - 2*o + m*o. What is the remainder when 34 is divided by h(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28358490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 10. Let w be b(0). What are the prime factors of (-4)\/10 - (-124)\/w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 80 + 110 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d - 11*d - 26688*d**2 + 26706*d**2.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8113ab (base 14) to base 15\nAnswer: 5ac3cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2076*y - 2091*y + 4170*y - 197*y**2 + 57*y**4 wrt y?\nAnswer: 1368*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 7*w**2 - 8*w - 9. What is m(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11971 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -1\/3*k**3 + 1\/24*k**4 + 0 + 0*k - 208*k**2. Determine q(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1070*o + 6442. Let i be t(6). Let n = 2 - 2. Suppose y + 4*y - 880 = n. Calculate the highest common factor of y and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*t + 22094311 = 22101031 for t.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 1. Let m(a) be the first derivative of -2*a**2 + 7*a + 1. Let v be (-2)\/(-6)*(-5 - -8). Let d(p) = v*m(p) - 3*k(p). Give d(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15752 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1274724 is divided by 423.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*5\/(-10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2 = -2*p, 2*p + 71 = 25*k - 6*k for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-1036)\/(-252) + -49.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**3 + 5*z**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23355227 (base 9) to base 8.\nAnswer: 53306735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 18 = -2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 79374, 158751, 238126, 317499, 396870, 476239, 555606?\n\"Answer: -z**2 + 79380*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -140, -279, -418, -557?\n\"Answer: -139*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 - 8*g - 84. What is i(11)?\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 7. Let y = w - 13.9. Let o = 1 - y. Which is the smallest value? (a) o (b) 0.2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-1 + 4 - 1582). Round h to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 2 - 10. Let r be q*-2 + 4 + -2. Put 4, -4, -5, r in descending order.\nAnswer: 4, r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216001, 216000, 215999, 215998, 215997, 215996?\nAnswer: 215995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369*w - 3040 = -373*w. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -a + 9, 5*a - 10 + 1 = -4*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -2*n + 5*t - 158, 0 = 4*n + 5*t - 70. Calculate the lowest common multiple of 94 and n.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40986 less than 41239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 13*t - 4. Let g be h(-7). Solve 5*d + q = 5*q - 3, d + 12 = -g*q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 4:15 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p. Let n(z) = 2*z - 1. Give -d(s) - 4*n(s).\nAnswer: -6*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 0*g**2 - 4*g**2)*(-11 - 13 + 12).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 18*c**2 - 4886*c - 600222. Let i(f) = -4*f**2 + 977*f + 120044. Let j(p) = -28*i(p) - 6*x(p). Factor j(l).\nAnswer: 4*(l + 245)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -3 - ((-25 - -6) + 34 + -31)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrt when three letters picked without replacement from thihtoiiritrtr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 388455 and 282?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -146564*f**3*l*o**3 + 25*f**3*o**2 + 3971*f**2*l**3*o - 25*f*l**3*o**3 + 16*f*l**3*o**2 wrt o.\nAnswer: -879384*f**3*l - 150*f*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1045 by 5.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 9125884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1153974*r**4*z - r**2*z**3 + 386446*r*z**3 + 3*r*z wrt r?\nAnswer: 13847688*r**2*z - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 - -161. Is h <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/52*(-4 + 52 + -54)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 14. Let k be z(-8). Suppose 7*g - k = 6. Let f be -3*(g\/(-3) + (-11)\/33). Solve 2*w + f*q = 0, 4*w - q = 3*q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*(-2*(1 + sqrt(2448))*4 - (sqrt(2448) + 0 + 5 + 5)))**2.\nAnswer: 314928*sqrt(17) + 16087572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**5*i)\/i)*i)\/(i*i**6*i))**(-11) assuming i is positive.\nAnswer: i**121","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*u**4 + 5 + 5 - 6 wrt u.\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*z + i, -878*z + 877*z - 8*i + 39 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -27\/743 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 5*w**2 - 7*w + 6. Let o be l(6). Suppose 9*x = -o*x + 9. Sort x, 3, -4 in decreasing order.\nAnswer: 3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0446 - -21.\nAnswer: 20.9554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + -2.9. What is the third smallest value in 0, u, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 51, -2, -11, 3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 12579\/4742 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -315412 (base 6) to base 12.\nAnswer: -12b68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 544256 and 4230740.\nAnswer: 541534720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + c + 34 = 0, d + 5*c - 26 = -2*d. Solve -3*y - 3 = -0*q - 3*q, 5*y + q = d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.20399 and -0.164.\nAnswer: 0.03345436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 7:56 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/f**(-4))*f**(-4)*f)\/((((f**(-7)\/f*f)\/f)\/f*f)\/(f*f*f**(6\/11)*f))*(f**(-4)\/(f*f*f**(-1\/5)))\/(f**(-3)*(f\/(f*f**5))\/f) assuming f is positive.\nAnswer: f**(481\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 354 - 322 = 5*y, 4*y + 14 = -5*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 554*w**3 + 50*w wrt w?\nAnswer: 3324*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 10\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -149448 (base 13) to base 6\nAnswer: -14502450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -15, -4, 1, -2, 626 in ascending order.\nAnswer: -15, -4, -2, 1, 7, 626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**2\/a*a))**(12\/13)\/(a\/a**7*a**(-2\/13)))**(6\/7) assuming a is positive.\nAnswer: a**(408\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(5\/(75\/10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137616887 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (26 - (-2 - -5) - 6) + 7 + -20 - 67\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - i + 64 = -21, -90 = -5*g - 2*i. Calculate the highest common factor of 164 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 1 = -2*z - a, 5*a = -15. What is the smallest common multiple of z and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - 23 - (1 + (0 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s + 2 - 2 + (0 - 4 + 2)*(2*s - s + 5*s) - 2*s + 0*s + 0*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -9*l + 5*l, 4*o - 2*l = -430. Let v be (-2)\/6 + 672\/(-9). Let m = v - o. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 14) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81325239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3*a = -11, 28*r = 27*r - 5*a + 27 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17483199, -17483160, -17483121?\n\"Answer: 39*h - 17483238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 22. Let c = -4 - -4.036. Let t = c + k. Round t to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i - 85 = -85. Let v(a) = 104*a - 1. Let u be v(-6). Let x = u - -6869\/11. Which is greater: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52805 and 7670?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f - f**2 - 23*f + 1 + 2*f + 2*f**3 + 5*f**2 + 17*f + 3*f**4 to the form d*f**3 + s*f + v + a*f**2 + w*f**4 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30192316 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68353 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000108 to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -594, -2458, -5672, -10320, -16486?\nAnswer: -24254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7224 + 2?\nAnswer: -7222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*h = 5, -p + 63*h = 58*h - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**4\/24 + x**2. Let o(y) = y + 3. Let n be (-8)\/6*(-6)\/(-4). Let h(r) = -2. Let b(c) = n*o(c) - 3*h(c). What is v(b(w))?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 22*w**2. Let k(a) = -7*a**2 + 4*a + 84. Give k(f(t)).\nAnswer: -3388*t**4 + 88*t**2 + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4096 - 2345. What is the greatest common factor of 34 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 22307994757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10931752?\nAnswer: 2, 13, 257, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 918*t + 9514. Calculate u(-11).\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 186*i - 1323. Let o be r(7). Sort -1, -4, 36, o in ascending order.\nAnswer: o, -4, -1, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6925 + -3852. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 42*s - 46. Determine o(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b. Let t be 1 + 0 + -3 - 8. Let g be 120\/18*(-24)\/t. Let s(r) = 16 - g + r. Determine s(l(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oauq when four letters picked without replacement from {r: 2, u: 4, a: 1, o: 1, q: 3}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.6063 from 1.\nAnswer: 2.6063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2087 (base 12) to base 4\nAnswer: -313213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 874648*q - 1161395 with respect to q.\nAnswer: 874648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 523848 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 4 - -2) + -38 + 2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 168779.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3170.981401 rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*i - 1 - 19*i + 37*i)*(-9*i**3 + 74*i - 74*i) to a*i**2 + c*i**3 + u*i + y*i**4 + n and give y.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2841095 or 105120470\/37?\nAnswer: 105120470\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449548?\nAnswer: 2, 11, 17, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 2:44 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/6 + -1)\/((-3)\/6). Suppose -i = 4*h - 15. Solve -4*c = h*l - 5*l - 14, -3*l = 2*c + 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 598*x - 599*x + 10, 50 = 6*p + x for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5326 - 3586. Let p = 902 - j. What are the prime factors of (-20)\/(-15) - p\/6?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-3) - 163\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.548*66\nAnswer: -234.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*u = -5*u - 12, 4*u = 4*t. Let k(r) = -2*r**3 + r**2 + r. What is k(t)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4 + 4. Let p = -3 - -5. Suppose -3*u = r*g - 111, g - 209 = -p*g + 4*u. Does 21 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26067, 26073, 26079, 26085, 26091, 26097?\n\"Answer: 6*o + 26061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.54587 days in weeks?\nAnswer: 3.64941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 + 7 - u**3 - 4*u**2 - 4*u**2 + 467*u - 460*u. Calculate z(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3726027 divided by -414003.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873 is divided by 229.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Let v(l) = -l**2 - 88*l - 844. Let b be v(-11). Sort b, a, 4 in increasing order.\nAnswer: a, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20058827 is divided by 10502?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2. Suppose -13*t + 16*t + 4*t = 0. Let x(d) = -39*d + 54*d + t + 0. Determine r(x(y)).\nAnswer: 450*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 4:27 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 110922 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -12*h**2 - 9*h + 77. Determine n(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27300 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-576)\/160 + 1\/(3\/12). Let f = 79\/332 - -1\/83. What is the nearest to -0.6 in 0.3, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from sssuququssu?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2515*r**3 + 2511*r**3 - 5028*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8931, -8929, -8927?\n\"Answer: 2*a - 8933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -271. What is the greatest common factor of m and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-190)\/(-4))\/(10 - (-95)\/(-10)). What is the highest common divisor of b and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 54*v**2 - 33*v + 7. Let h(j) = -1. Calculate 8*h(b) + t(b).\nAnswer: 54*b**2 - 33*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 13*h**2 + 62*h - 35. Let w be (-320)\/30*(-3)\/(-6)*-3. Let p be v(w). What is the greatest common divisor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5332, 5661, 5988, 6313, 6636, 6957?\nAnswer: 7276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -518.8 + 570.8. Which is the closest to u? (a) -4 (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/(-3 - (0 + -4)). Let h(j) = 14*j**2 - 14*j - 6. Let z(o) = -5*o**2 + 5*o + 2. Give k*z(b) - 4*h(b).\nAnswer: -b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/44 + 1 + 42\/40.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 44, 1 in descending order.\nAnswer: 44, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6342 = -5*v - 4*q, -3*q + 2182 = 3*v - 1622. Suppose 0 = 2*m - 0*m + 4*a - v, 0 = -5*a - 10. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4674 divided by 6?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -824493600 to the nearest 1000000.\nAnswer: -824000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 43, -2 in ascending order.\nAnswer: -2, 0, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 263\/1434 + -4\/239. Which is the smallest value? (a) s (b) 4 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/43290 and -151\/36630?\nAnswer: 476190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**2 - 10*r - 9*r - 3*r.\nAnswer: -9*r**2 - 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/w**(3\/7)*w)*w)**(23\/4)*(w\/(w*w**(1\/15)))\/w**21 assuming w is positive.\nAnswer: w**(-2557\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -61?\nAnswer: 5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lskkkokpk. Give prob of sequence los.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 74193*b**2 - 458456985*b - 3212835381.\nAnswer: -3*(b - 12369)**2*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 85008*q**2 - q. Let u(n) = 4*n. What is u(j(l))?\nAnswer: 340032*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -10, -g + 6*o = 7*o - 17221. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -16. Let n = -3 + -1.5. Let f = -4 - n. Sort b, -1\/2, f in ascending order.\nAnswer: -1\/2, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(sqrt(75) - 2*(sqrt(75) + 1)))**2 + (3*-1*sqrt(75) + 2 + sqrt(75)*-1)**2 + 0.\nAnswer: 420*sqrt(3) + 3176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9967 + 13972. Suppose -i + 6*i + z = 0. Let b = -1503\/2 - i. Find the common denominator of -47\/4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117074602\/1542387 + 4\/73447. Let g = -76 - u. Sort 2\/15, 5, g in decreasing order.\nAnswer: 5, 2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**4\/6 - j**3\/3 - j**2\/2 - 74*j. What is c(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 112 + 385?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*l**2*z**3 - 153*l**2*z**2 + l + 4821462*z**5 + z**2 - 8297 wrt z?\nAnswer: 42*l**2 + 289287720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -167 + 166.9. Which is smaller: -0.996 or x?\nAnswer: -0.996","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1 - 5 + 1 - m + 1 + 4*m**2. Suppose 0 = 3*y - 32 - 10. Calculate the least common multiple of u(-2) and y.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1390 is divided by 736?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 3 = j - 23, -266 = -158*j + 139*j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 10*w - 41*w + 3*w - 3*w**3.\nAnswer: -3*w**3 - 30*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 9*o**2 + 13*o - 13. Let u be g(7). Let z = u + 3. Is -17 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -1, 2, -7, -101 in ascending order.\nAnswer: -101, -7, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171397, 171399, 171401, 171403?\nAnswer: 171405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m + 2. Let t = 342 - 337. Suppose 187*y = 186*y + t. Let f(l) = -4*l - 3. What is y*u(k) + 4*f(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*d = -19 + 2, 0 = -3*m + 2*d + 16. Suppose 2*a + 11 = 3*h + m*h, -a + 4*h - 10 = 0. Solve -a*v = 2*q - 4, q - 2*v - 10 = 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -11*h - 1098. Let d be n(-102). What is the nearest to -2\/3 in d, -0.4, -1\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 13*j. Suppose -5*i - 19*i + 72 = 0. Let f(a) = 3 - i + 287*a - 284*a. Determine r(f(h)).\nAnswer: 39*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/1593? (a) 1\/51 (b) -3\/19 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 89580 and 62706?\nAnswer: 627060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 1183\nAnswer: -9\/1183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from {u: 1, b: 1, k: 1, t: 1, x: 10}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(1\/3))\/((h\/h**(-1\/4))\/h))\/(h**(-5\/4)*h**(-3)))**15 assuming h is positive.\nAnswer: h**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607253487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 8*a**2 - 5*a + 3. List the prime factors of x(5).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 44836?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 35 = 4*a, 3*a + 154 = -4*d + a. Let z = 74 + d. Calculate the remainder when z is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8263825356 to the nearest integer?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-5764)\/(-4323))\/(256\/126 + -2)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 784*r**2 - 1568*r**2 + 786*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-14) - (-29)\/(-42). Let 32\/3 - 8*l - p*l**3 + 2*l**2 = 0. What is l?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7139 = 598*u + 292*u - 59649 for u.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129585?\nAnswer: 3, 5, 53, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/13 and -346746 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g - 4. Let s be k(-5). Let o(l) = -l**3 + 6*l**2 - 3. Let n be o(s). Suppose 4*p - 4*h = 0, 2 = -6*p + 3*p + 2*h. Put 2, n, p in descending order.\nAnswer: 2, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**3 + 32*g**2 - 27*g - 1. What is s(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3.1. Let u be -2*(-30)\/12*4\/5. Suppose 15 = -5*g, -2*c + 9 - 1 = -u*g. What is the nearest to a in -1, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 2. Let v(t) = -t**2 - t - 1. Let c = 6 - 1. Suppose -3*m - c - 1 = 0. Calculate m*v(i) + r(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 2*u**2 + 2*u + 5. Let a be r(3). Let y be (-2)\/10*a - (-16)\/40. Suppose 4*o + 3*w - 353 = y, -5*o = 2*w - w - 433. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 12:48 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.036 + 5.186. Is m greater than or equal to 0.113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-682)\/28)\/11*(-5 + 7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1011100100000001010000 (base 2) to base 15\nAnswer: -3ed19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -6, 2, 3, 2656, -3 in increasing order.\nAnswer: -6, -4, -3, -2, 2, 3, 2656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/5*35\/(-21). Which is bigger: c or -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(304)*-2)**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1295 is divided by 169?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68\/3 - 281\/12. Suppose 6*t = -26 - 4. Put 8, -0.2, c, t in descending order.\nAnswer: 8, -0.2, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 213*d**3 - 2*d**2 - 172*d - 2. Let p(c) = 1064*c**3 - 11*c**2 - 861*c - 11. Let n(w) = 2*p(w) - 11*s(w). Find the second derivative of n(b) wrt b.\nAnswer: -1290*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11673506 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 - 1 + 1 + (p + 2 - 2)*(21*p + 0*p - 10*p) + (4*p**2 - 3*p**2 - 3*p**2)*(3 + 3 - 4) in the form f + c*p + o*p**2 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 12*p + 17. Suppose 413*q = 421*q - 88. Give f(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 322, 483, 644, 805, 966?\nAnswer: 1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919701140.\nAnswer: 2, 5, 45985057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + l**2 + 2*l**2)*(-413*l - 56*l - 8*l) - 2*l**3 + 3*l**3 - 3*l**3 - 2*l.\nAnswer: -956*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1647, 1.5, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1023 - 1999\/2. Let p = -16 - -145\/6. Calculate the common denominator of p and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1402\/2103)\/(-1*2\/(-9)). Let a(j) = 2*j**2 - 2*j + 5. Let l(y) = -4*y**2 + 3*y - 9. Calculate d*l(c) + 5*a(c).\nAnswer: -2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 18*w**2 - 511*w + 668. Give j(27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (20\/110)\/(35\/77)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 10842084.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3078, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmduxd. What is prob of picking 1 d, 1 x, and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*j**2*q*r - 10165*j**2 + 280*j*q - 2*j*r + r with respect to q.\nAnswer: 40*j**2*r + 280*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + 1 + (sqrt(80) - 2*sqrt(80)))*4.\nAnswer: 72 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -85\/2. Let p be 130\/(-32) - (-2)\/32. Put -5, p, k, 4 in increasing order.\nAnswer: -5, p, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 0. Let o be -4*((-3)\/l)\/3. What are the prime factors of (-2)\/o*3*-4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1241244 + 5?\nAnswer: -1241237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.3? (a) 2.1 (b) 4 (c) 0 (d) 1004\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c - 12*c - 137 + 132. Let x be v(3). Let g = x + 82. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 7:59 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**3 + 0*v + 4*v**3 - 4*v to g*v**2 + h*v**3 + p*v + l and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + -79. What is the remainder when 20 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59863 (base 14) to base 13\nAnswer: 78565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 3:04 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -5. Suppose 0 = -5*t + 3*q - 25, 3*q - 2 = 3*t + 19. What are the prime factors of 9 + (8\/r)\/t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*(-9)\/(-36) + 465\/1. Let z = f + -18211\/39. Are z and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = -0*q. Let v = -5 + q. Suppose 0 = -4*h - 6*s + s - 13, -4*h + 2*s - 6 = 0. Sort v, 1, h.\nAnswer: h, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 6a896?\nAnswer: -6a893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 2*u - 2*u + 51 + 2*u.\nAnswer: 2*u + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 158, 242, 340, 458?\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-24)*-1*(-4)\/15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 315497618?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -329\/2 + 4931\/30. What is the second biggest value in x, -5, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9093, 18184, 27275, 36366, 45457?\nAnswer: 54548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - y + 75, i - 3*y + 50 = 3*i. Suppose -3 - 9 = 4*x. Let j = i - x. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11799*y - 671918 - 572214 = 39588 + 37768 for y.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/23)*a*a**(-8)*a assuming a is positive.\nAnswer: a**(-137\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Let i = 15.09 - 0.09. Let t = i - 17. What is the nearest to 0 in t, 3\/5, f?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 6:31 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -114912 (base 10) to base 13\nAnswer: -403c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 2, z: 1, q: 4, b: 1}. Give prob of picking 1 f and 1 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/19 in 3, -109, -12, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 - -796504.\nAnswer: 796519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(68)*-1 - sqrt(68)))\/((sqrt(2048)*-5)\/sqrt(8)).\nAnswer: -3*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 3. Let m(v) = -v + 2. Let g be m(3). Let f be -25*((-9)\/5 - g). Suppose 0 = 7*j + f + 1. Determine p(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**3 - t**2. Let s = -2 - -7. Suppose s*j + 5 = -0*j. Let r be ((-1)\/(3\/3))\/j. Calculate f(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14505 and 15?\nAnswer: 14505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18\/185? (a) 2 (b) -9 (c) -2\/7 (d) -0.2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = a - 9. Suppose -94 = 5*f - 84. Calculate the least common multiple of 7 + (-2 - f) - (8 + -13) and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*d + 112*d - 365427 = -12*d. Calculate the remainder when d is divided by 135.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 4:25 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*a + 2. Let w(l) = 7*l**2 - 19*l + 14. Let o(d) = -13*d**2 + 35*d - 26. Let u(i) = 6*o(i) + 11*w(i). Determine u(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 70577859 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111 * 8923.\nAnswer: 990453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 199147851 to the power of 1\/2, to the nearest integer?\nAnswer: 14112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-1\/3)*x))**(-10\/7)*x*x\/(x**7\/x)*x**(-22))**(5\/2) assuming x is positive.\nAnswer: x**(-1390\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**5\/20 - m**4\/4 + m**3\/2 - m**2 + 4*m + 30. Calculate t(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -33*g**3 + 2*g**2 + 5*g + 12. Let m(x) = -16*x**3 + x**2 + 2*x + 6. Give -4*a(u) + 9*m(u).\nAnswer: -12*u**3 + u**2 - 2*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 818*k**4 - 785*k wrt k?\nAnswer: 9816*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -20.01. Let d = f - 0.09. Which is bigger: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.977 - 0.023. Which is the closest to 7? (a) l (b) -3 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 55\/2 of a century?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/60*10*1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -7*q**5\/20 + q**2\/2 - 10*q. What is the lowest common multiple of 5 and l(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 36*x - 15. Let j be l(4). Suppose 2*m + v = j, -4*v = m - 29 - 39. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165441 * -4\nAnswer: 661764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89027?\nAnswer: 127, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196286 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95568777*t**2 + 95568777*t**2 + 6*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*i = -12116914, 5*c + i = -13883131 + 74467722. Let a = c + -8845359337\/730. Let y = -1\/730 + a. What is the common denominator of 30 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 3. Let g(a) = -3*a**2 - a + 5. Let s(o) = -2*d(o) - g(o). Let m(f) = -2*f**2 - 3 + f - f**3 + 0 - 4*f. Calculate -2*m(t) - 6*s(t).\nAnswer: 2*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2736)*6 - sqrt(2736)) + sqrt(2736) - sqrt(2736).\nAnswer: 204*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5 = -3*u, -4*u - 12 = -0*u + 4*z. Suppose -g = -1 - 0. Calculate the remainder when u is divided by 2\/g + 1 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000348 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**6\/3 - 33*j**4\/2 + j**3\/3 - 26*j - 165. What is the third derivative of q(s) wrt s?\nAnswer: 120*s**2 - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -2140, -1.1, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10\/21 (b) -3 (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 9, l: 1, e: 1}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 808 = 4*j + 4*y, -j = 5*y - 213. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4\/5))**(-2\/73)\/(m**(-2\/5)\/m**(-2\/55)))**(-2\/5) assuming m is positive.\nAnswer: m**(-3096\/20075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3036\/(-207))\/((-8)\/78). Which is bigger: x or 141?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 20*c**2 + 62*c + 183. Determine p(23).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/108955 and 17\/1146716?\nAnswer: 441485660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -28788.\nAnswer: -1\/14394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 - (1 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -685659 + 428202 = -70*w + 511493. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211\/3 + 71. Let v = 73\/3 + -25. Which is the nearest to m? (a) v (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**15\/d)\/d**(4\/3) assuming d is positive.\nAnswer: d**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a - 2. Let x(f) = -11*f + 1. Let k be 1\/((-3)\/9) + 6. Let c(q) = 0 - 2 + 49*q - 17*q. Let g(o) = k*c(o) + 8*x(o). Calculate -5*g(s) - 6*u(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q**2 - 1 + 8*q**2 + 4 + 4*q**2 in the form m*q + v*q**2 + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.05136 * -0.3\nAnswer: -0.015408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110100001 (base 2) to base 15.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -109, -227, 1?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32118 and 33?\nAnswer: 353298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - (-3 + (sqrt(272) + 0 - sqrt(272))))**2.\nAnswer: 24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqq when three letters picked without replacement from qyrcqy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -6?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - m**4 + (105*m**4 + 162*m**4 + 41*m**4)*(2 + 1 + 3).\nAnswer: 1847*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/784*210)\/(1 - (3 - 155\/85))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 10*k**3 + 119*k**2 - 9*k + 32. Calculate z(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1011*u + 24825 + 16626 = 0 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-24) - 63\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 4*n + 0 - 20 = 0, 0 = -2*y - 5*n + 38 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 40\/117159, -5, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22060 (base 7) to base 4\nAnswer: 1112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*k = -i - 240*k - 17, -5*i - 2*k = 39 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -114*i**3. Suppose 14 = 5*w + 5*u + 4, 5*u - 16 = w. Let d be v(w). Suppose j = 0, 0*j = 2*a - 4*j + d. Which is smaller: a or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + u**2 + u - 1. Let s(l) = -7*l**3 - 5*l**2 - 5*l + 5. Determine -s(t) - 5*y(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 0, -7, -1739 in decreasing order.\nAnswer: 27, 0, -7, -1739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2231 - 934 = -107*m - 2341 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1724 and 5041838?\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 12, -3*m = -2*t + 24005 - 24031 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.065447 in -55, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000627791 rounded to 5 decimal places?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t + 123 + 141 + 142 = 0 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, 156, 1711, 5178, 11301?\nAnswer: 20824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 13*n**3 - 3*n**2 - 42*n - 59. List the prime factors of w(15).\nAnswer: 7, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -23\/160889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 339442?\nAnswer: 7\/339442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-13 - (13 - (1 + 13)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -121202 (base 3) to base 2\nAnswer: -111000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -34015, -4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z**3 - 9*z**2 + 2*z + 1. Let n be f(3). Let m = -30 + n. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1014490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**2 + 13090*f + 591560 = 0.\nAnswer: -2572, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 62881047 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 124?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-2 - (-156)\/72). Let v(d) be the second derivative of 0 + 8*d + 5*d**2 + w*d**3. What is the first derivative of v(i) wrt i?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4)\/b**(-3))\/(b\/(b*b\/(b*b**1*b*b))*b**(-1\/4)))**(4\/7) assuming b is positive.\nAnswer: b**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 61 = -4*q + 15, w + 3*q - 13 = 0. List the prime factors of 466\/10 + w\/40.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 3.16568.\nAnswer: 0.1899408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/5))**(29\/4)\/((b**(-6)*b)\/b*b\/(b*b**(-3\/23)*b)) assuming b is positive.\nAnswer: b**(2124\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 - 5958875*j + 11917746 = 0.\nAnswer: 2, 5958873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31705.\nAnswer: 5, 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzz when three letters picked without replacement from {j: 8, z: 6, u: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/15*(-10)\/(-14)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqtqttttqttqtq. Give prob of sequence tqqt.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2720 - -6228. Suppose 4*w = 3*y + 8956, -2*w + r = -0*y - 3*y. Round y to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133302 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 24297728 divided by -32\nAnswer: -759304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -74519?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -212\/17 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3124 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(660\/(-33)*-1))\/(10\/(-975))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12126047 is divided by 24747?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 979*j + 56. Is 21 a factor of f(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 38, 20, 16, 32, 74, 148?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17.45493 kilograms?\nAnswer: 17454930000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(3\/3) - -1. Let n(z) be the second derivative of 13*z**3\/6 - 2*z. Calculate n(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s - 3. Let a be k(4). Suppose 3*r + 3 = 4*j, -4*r - 11 = 4*j - 35. Let f = a + r. Solve -f*u + 2*v + 23 = -3, 5*v + 45 = 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003989554 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.1 - 13.1. Let m = 7 + p. Let r = -11 + 8. What is the closest to m in 0.06, -4, r?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 492*n**2 - 425*n**2 - n + n to the form r*n + g + j*n**2 and give j.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.752 times -16?\nAnswer: -140.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -70.2. Let m = -1.3 - t. Let x = m + 15.5126. What is x rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -486 divided by 30.\nAnswer: -81\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 428056 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109480 a multiple of 1480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 1\/(0 + 4\/16). Suppose -m = 4*o - 53. What is the remainder when o is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -775 - -1?\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2. Let v be r(0). Let m(i) = 2277*i + 31881. Let c be m(-14). Put 5, v, 2, c in descending order.\nAnswer: 5, c, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.2 - -0.8. Let w = 10 - r. Let g = -8\/39 + 2\/39. What is the second smallest value in 0.1, w, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -15. Let u = w - 17.1. Round u to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -263 (base 13) to base 11.\nAnswer: -351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 22970751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.0436 + 0.9564. Put a, 0.4, 11 in descending order.\nAnswer: 11, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.21 in -1, 3, -5\/3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_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: What is 0.4 times 64526?\nAnswer: 25810.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*v - 29, 4*i + 9 = 4*v - 3*v. Suppose v*n = -72 + 317. Let k = n + -43. Solve 4*z - 2 - k = j, 0 = 5*z - 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (184\/(-192)*(9 - 5))\/((-1)\/6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -974, -1956, -2938, -3920, -4902, -5884?\nAnswer: -6866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0087 and 6785.9.\nAnswer: -59.03733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaayyayaaaaaayyay. What is prob of picking 1 a and 2 y?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3*((-9)\/((-65016)\/21776) + -3) and -1\/129?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*t**2 + 87*t**2 + 1 + 2*t + 85*t**2 - t**4 - 264*t**2 + 6*t**3 as u*t**3 + o*t**4 + p + s*t**2 + c*t and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 989334 and 1736?\nAnswer: 27701352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 5 - 3 + i**2 - 2*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 93619.37234 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1 - 3 + 1 - p. Let y = 129 + -128. Determine h(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.598163 times 0.5?\nAnswer: 0.2990815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/((-120)\/4025) - (-5)\/(-15). Let g be ((-205)\/287)\/(o\/(-14)). Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*m + 596, -9*g + 4*g + 1505 = -5*m. Suppose 2*r = 4*r + f - g, 3*r = 5*f + 476. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -2\/21, 0, 0.22, 46?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.48837 rounded to one decimal place?\nAnswer: -10.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**3*l*w**2 + 64220*i**3*w**3 + 62*i**3 - 3*i**2*l*w**3 + 14856763*i**2*l*w - w**3 wrt i.\nAnswer: -12*l*w**2 + 385320*w**3 + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/4555, 4, -2 in ascending order.\nAnswer: -2, 2\/4555, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*r + 6, -3*j + 4*j = 5*r - 12. Let m = 5 - j. Suppose -9 = 3*l - 0*l, 0 = -4*z - 3*l - 1. Solve m*n = z + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-5 - (-16 - -5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6314736955?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -224159 or -225594?\nAnswer: -224159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 8*k**2 + 9*k. Let b = 13 + -4. Let o be c(b). Solve -w = -o*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66184914, 264739664, 595664248, 1058958666?\nAnswer: 1654622918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence haix when four letters picked without replacement from xaffifixfixhxfai.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(612) + 4 + sqrt(612).\nAnswer: 4 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (455\/(-42) - -11)*15. Factor -3*z - 1\/2*z**2 - q.\nAnswer: -(z + 1)*(z + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -21*q + 6. Suppose 3*o = q*z - 22313, z - 6*z + 55760 = -3*o. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1416471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/12, -13.5, -5, -86.2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + o - 18. Let u be i(0). Let v be 16\/9 + u\/(-81). Suppose -2*j - j + 5*n = -16, -2*n = 4*j - 56. What is the highest common factor of v and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*h**3 - 11*h + 21*h + 1564 - 795 - 10*h - 769.\nAnswer: 35*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbb. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110022 (base 3) to base 14.\nAnswer: -19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2007 - -2014 - (-2 + 8 + -3 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8909 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 3*z - 72. Let q be (-2 - -3) + -1 - -29. Let d = q + 6. Solve -m = g + z, -d = 3*m + 4*g + g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*a - 15*a - 52 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Let i = -2.93 - -2.73. What is the second smallest value in d, -1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.6 + -3.9. Let g = -0.8 + -2.2. What is the biggest value in r, g, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22783 - 22783 - 1119*n + 3*n + 0*n + 5*n + (-4*n + 2*n + n)*(1 + 1 + 0) - 5*n - 4*n + 5*n to u + x*n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -10, 1, 30, 83, 166?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5734.385ml in litres?\nAnswer: 5.734385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (22 - 26) + 7 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**5\/7 + 30*j**4\/7 - 278*j**3\/7 + 642*j**2\/7 - 396*j\/7 = 0?\nAnswer: -22, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -164 - -164. Let c(m) be the second derivative of 2\/3*m**3 + b*m**2 + 1\/6*m**4 + 0 - 5*m. Find the second derivative of c(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117*g + 94*g - 79*g + 967*g**2 + 360*g**2 wrt g.\nAnswer: 2654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 464.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2548\/57 - 347\/38. Let v = q + 54. Which is the closest to 0? (a) v (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91.43 + 91. Let y = 0.43000095 + g. What is y rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 187 = 4*f - 238, -a + 113 = f. Let t = 311 + -148. Suppose f = 3*c - t. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*c - 144. Calculate the remainder when 46 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11328 and 106.\nAnswer: 600384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10840 or -10854?\nAnswer: -10854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*q**3 + 33*q**3 - 22*q**3)*(-4 - 11*q + 5*q + 3*q).\nAnswer: 15*q**4 + 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541 is divided by 525?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*(-7)\/(-2)*(-360)\/(-1680)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + 9 + (-54)\/21. Suppose -2*h + 6 - 3 = -k, -h + 9 = -2*k. Which is the second smallest value? (a) x (b) k (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 6*i + 108 = 0. Let m = 15 - -15. Let f = i + m. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670555.9 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -13*w. Let l(x) be the third derivative of -x**2 - 1\/20*x**5 + 0 + 0*x + 0*x**3 + 0*x**4. Determine l(t(u)).\nAnswer: -507*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**3 - 62645*q**2 + 62630*q + 125280 = 0 for q.\nAnswer: -1, 2, 12528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 421303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 255*x + 76. Let d = 636 + -631. What is the units digit of f(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61718184647 + 4\nAnswer: -61718184643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13a (base 13) to base 11.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*sqrt(425)*1 + 4 + (sqrt(425) - -1*(sqrt(425) + 4)))**2.\nAnswer: 640*sqrt(17) + 27264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 4*p**2 - 3*p**2 + (-4*p + p + p)*(-2*p + 4*p - 4*p) + 6 - 25*p - p**2 + 0*p**2 + 31*p.\nAnswer: 4*p**2 + 6*p + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -3 - 8 - (0 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzj when three letters picked without replacement from {z: 5, j: 15}.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 19*z + 906 = 0. Let u = -292 + z. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -665, -1516, -2823, -4814, -7717, -11760?\n\"Answer: -38*p**3 - 585*p - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 7. Suppose 0*o = t - o - 10, 45 = 4*t - 5*o. Let w be x(t). What is the second derivative of c**w + 3*c + c**2 + c**2 wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/(-9)*(-6)\/4. Let a(m) = v*m**3 - m - 5*m**3 - m**2 + 2*m**2. Calculate a(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 0 + (-110)\/(-1) + 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 12. Suppose -54 = -a*h - 18. Suppose 4*g - 44 = 392*q - 394*q, -20 = 4*g. Calculate the remainder when q is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*a - 7*a - 3, a + 2*w - 3 = 0. Let x(l) = -21*l**3 + 39*l**2 + 78*l + 18. Let y(u) = u**2 + u. Let n(i) = a*y(i) + x(i). Factor n(k).\nAnswer: -3*(k - 3)*(k + 1)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20210066 (base 7) to base 15\nAnswer: -233a9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14985*z**2 - 14968*z**2 + 60 + 60 - 9*z.\nAnswer: 17*z**2 - 9*z + 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-162)\/(-24) + (-50)\/(-40). Calculate the highest common factor of p and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 + 118*d - 1651. What is i(22)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 divided by 5336?\nAnswer: 241\/2668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2)\/l**(-11)*(((l*l*((l*l**(-1)*l)\/l)\/l)\/l*l)\/l)**(1\/76) assuming l is positive.\nAnswer: l**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven halves of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464*m**3 - 960*m**3 - 1858*m**3 + 5 - 5.\nAnswer: -2354*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 46 = -2*d, 0 = 5*p + 55*d - 51*d + 62. Which is the closest to 2\/17? (a) p (b) 91 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*h = 16*h + 453456. Suppose 3612 + h = 10*b. Is 51 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -44. Let k be s - (-2 + -2 - -3). Factor -10*c**2 + 8*c**3 + 0*c**3 - 5*c**5 + 6*c**k + c**3.\nAnswer: -5*c**2*(c - 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -291 in 1\/11, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 211?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most 22\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142010 (base 7) to base 16.\nAnswer: 69e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(-4))**(-1\/20)\/((a*a**33)\/((a**(2\/5)\/a)\/a)))**(1\/18) assuming a is positive.\nAnswer: a**(-359\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -414 - -216. Let x be 66\/b - 121\/(-3). Calculate the highest common factor of x and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302321 - -133?\nAnswer: 303120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2032033203 (base 4) to base 2\nAnswer: -10001110001111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 1024\/5 - 2\/5*g**2 + 248\/5*g = 0.\nAnswer: -4, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 9*y**2 + 4. Let j be d(-9). Let c be ((-2)\/j)\/(10\/240). Let g be 4\/c - (-56)\/6. Solve 4*m - 1 = -g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 3*f + 3, -22*f = -23*f + 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-3\/8))*g)\/g)**(-4\/15)\/((g\/g**(-28)*g)\/(g*g**(3\/13))) assuming g is positive.\nAnswer: g**(-3727\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -221, -345, -467, -587, -705, -821?\n\"Answer: h**2 - 127*h - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*f**2 - 1 + 55*f**2 + 104*f + 558*f - 662*f + 12*f**2.\nAnswer: 150*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18001 by -383.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, c: 2}. What is prob of picking 2 c and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*k + 34 - 10, 0 = -5*c - 3*k - 30. Let y be (-2)\/c + (-28)\/(-6). Suppose 203 = -4*t + 8*t - y*d, -5*t + 255 = -5*d. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - 0. Let d = x + 10. List the prime factors of (2\/d)\/(4\/132).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-5 + 10)) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -5*s**2 - 1\/6*s**4 + 0*s + 1\/60*s**5 - 1\/2*s**3 + 19. Let d(y) be the second derivative of u(y). Determine d(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*c**2 + 22*c**2 - 11*c**2 + 14*c**3 + 2*c - 2*c - c**3 + (c - c - c**2)*(3*c - 10 + 10) - c**3 + 3*c**3 - c**3.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/2 + 923520*x + 142148198400.\nAnswer: 3*(x + 307840)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 938 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 26 = -15*p + 4*a, -4*p + 4*a + 4 = 0. Solve 3*z - 4*h = 3, p*z = h - 5*h - 27 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -17) + (3 - (1 + -2 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 80, 154, 228, 302, 376?\n\"Answer: 74*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 3*a - 2*a + 2, 2*a = 4*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 2\/725 (c) 0.1 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/740*-37*(-3)\/((-63)\/6)*-3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 274, -3, 3, 0 in increasing order.\nAnswer: -3, 0, 3, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -66*i - 4 + 4 - 3 - 2 - 4 - 57*i**2 = 0?\nAnswer: -1, -3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**8\/11200 + b**6\/1200 + 11*b**4\/12 - 2*b. Let d(o) be the third derivative of x(o). Suppose d(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (0 - -4)) + (768 - 773).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -1)\/((-1)\/(-6)). Let a be ((-12)\/(-10))\/(s\/15). Let z be ((-24)\/9 - -2)*a. Solve z*x + 4*w = -12, -1 = -4*x + w + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b. Suppose 7*t - 3*t = 16. Suppose -3*c + 5*g + 25 = 2*c, 0 = -t*c - 3*g + 55. Let p = -12 + c. Calculate h(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c1 + -3?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 5:18 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680887 is divided by 1351.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 20. Let q(z) = 2*z + 2. Calculate q(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l. Let y(j) = -324*j**2 + 27*j. Calculate r(y(s)).\nAnswer: -648*s**2 + 54*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194 and 1261.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 1\/21 (c) 6 (d) 9\/53 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(-23 + 11*r**5 + 23) + 3*r**5 + r**5 + r**5.\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*y - 32 = 0, 0 = -p + 4*p + 4*y. Suppose 5*h = -p*n + 56, -2*h + h - 56 = -4*n. Solve -3*o + 2 = n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5869, -5894, -5919?\n\"Answer: -25*d - 5844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/119 smaller than -0.041519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20206358 by 325909.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/18 and 63\/4954.\nAnswer: 44586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58 - -606?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -56.8, -131.58?\nAnswer: -131.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17275566 divided by -6.\nAnswer: 2879261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 + 6*w**2 + 4*w. Let c(d) = -3*d**3 - 5*d**2 - 3*d. Let a(y) = 6*c(y) + 5*m(y). Find the second derivative of a(h) wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/((sqrt(20)\/sqrt(2) - sqrt(10)) + sqrt(10)) + (sqrt(110) + (sqrt(110) - sqrt(110)*-2) + sqrt(110))\/sqrt(10).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33535\/(-25) - 2\/(-5). Find the common denominator of -85\/4 and u\/(-162) + 1*-2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -269 - -322. Let t(f) = -3*f + 155. Let j be t(n). Let r(u) = -u**2 + 4*u - 2. Let z be r(2). Sort z, 1, j in decreasing order.\nAnswer: z, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674001 is divided by 405?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*j**2 + 5 - 28383*j**3 - 5 + 28385*j**3 as l*j**2 + n + u*j**3 + f*j and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - z + 3. Let m be (14 - (1 + z)) + 2. Let k(f) = 2*f + 4. Let b be k(-1). What is the greatest common divisor of b and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -1)*(-6)\/(-36). Suppose b - 8 = 3*k, 2*k + 4*b = 7*k + 11. Sort 4, r, k in ascending order.\nAnswer: k, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4037273, 4037262, 4037251, 4037240, 4037229, 4037218?\nAnswer: 4037207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23*(0 - (-2 + 1)). Let y = -19 + w. Suppose 3*f + y = d - 3, 4*f - 111 = -5*d. What is the remainder when 69 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (39\/(-1))\/((-6)\/4). Let a be -3 + 16 + (3 - 3). What is the highest common divisor of v and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -1045?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-12) - ((-34)\/8 + 3). What is the greatest common divisor of a and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1. Let n be ((-40)\/(-55))\/4 - (-26)\/(-22). Let w be -1*((0 - -1) + 2). Let m(p) = -p - 1. Let x(z) = n*q(z) + w*m(z). Give x(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -37*t + 233. Determine h(11).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 2*y - 18. Let f be m(-3). What is the greatest common factor of f and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.01499 rounded to one dp?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-1))\/((-9)\/(-12)*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeqsvevzss. What is prob of picking 1 e and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssqwswsw. What is prob of sequence qw?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 406341.09 to the nearest 1000.\nAnswer: 406000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**13*j\/j**6)**(-1\/15))**(-46) assuming j is positive.\nAnswer: j**(138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 2\/167, 0.2, -0.4?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**6\/5 - q**5\/30 + 55*q**4\/24 - 896*q**2 - q. Find the third derivative of b(d) wrt d.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/15)\/((-1)\/(-2)). Factor -u*p - 2\/3*p**2 + 2*p**4 + 8\/3*p**3 + 0.\nAnswer: 2*p*(p + 1)**2*(3*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37240 and 0.09.\nAnswer: 3351.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 1 + j**2 + 1\/6*j**3 + 3\/4*j**4 - 62*j + 1\/20*j**5. Calculate d(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*i + 4*s - 45, i - 5*s - 54 = 0. Suppose 2*t - i = -3*z, 8*z - 4*t = 3*z + 67. What is the greatest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 + 790 = 9*r + 72*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*k - 139 = 1506. Solve 62 + 8 = k*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/9*9*4\/48.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.39826 - 0.19826. Let s = 18 + -11. Put -1, j, -4\/3, s in ascending order.\nAnswer: -4\/3, -1, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 0 + (-11 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 340971\/628 or 543?\nAnswer: 543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29384*r**3 + 21*r**2 + 87*r**2 - 29381*r**3 + 14*r**2.\nAnswer: 3*r**3 + 122*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from imimm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173959820 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -32. Suppose -t - 2*t = -2*v + 122, -2*v + 114 = -a*t. Let w(x) = x**2 - x + 5. Calculate the remainder when v is divided by w(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (46 + (0 - ((-10 + 17 - -4) + -4))).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 15. Let k be (-2)\/4*0\/g. Solve 9*s - 4*s - 5 = k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*10\/(-75))\/(1\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 751*a + 861 wrt a?\nAnswer: 751","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5\/15 + 8*o**4\/15 + 2*o**3\/15 - 8*o**2\/15 = 0. Calculate o.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 - -57. Solve r = 2*r - n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -23, -1, 1, 5 in descending order.\nAnswer: 5, 1, -1, -20, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/n**0*n**(2\/3)*n)\/((n**17*n)\/(n**(2\/15)*n)) assuming n is positive.\nAnswer: n**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121\/15 - (-60)\/(-900)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*m + 3*z, -5*m = -0*m - z - 8. Let a(j) = 4*j**2. Let w be a(m). Find the third derivative of -5*p + p + w*p + p**2 + 2*p**3 wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiibiiiiibbiibiii?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3003 and 848848.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(4 + -5) + (-19 - 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-95)\/15 - -8)\/(1\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -167.84 and 0.4?\nAnswer: 168.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12 - 13)*2\/(-2). What is the units digit of (2529\/18)\/(y\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:22 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 899250 and 167970?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1.5742764\nAnswer: 0.31485528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7740 - 7740 - 6*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, 643\/3, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**4 - 8*c**3 - 28*c**2 - 16*c = 0. What is c?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 703884398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -712517 * 0.32\nAnswer: -228005.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*x - 6 - 44 = 0, 0 = -x. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 - 12299560\nAnswer: -12299560.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(144))\/sqrt(8))\/sqrt(6))**2 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c. Let s(a) be the second derivative of -a**3\/6 + 7*a + 1. Calculate l(q) - 4*s(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 10 + 30 = 0. Let d be (-3)\/15 - 832\/k. Let r = d - 36. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 544\/(-238) - ((-8)\/14)\/2. Sort -1, 2, -7, o in ascending order.\nAnswer: -7, o, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1498, 1495, 1490, 1483?\nAnswer: 1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (279\/248)\/((-6)\/(-8)). Which is the closest to -0.1? (a) d (b) -0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110001 (base 11) to base 9\nAnswer: -287004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 303373 < 303316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 14) to base 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 2, m: 1, t: 1, e: 1, y: 2}. Give prob of sequence ht.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634 = -83*a + 196 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:52 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6903417 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4530937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12647782?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 206684 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25561.970219 - -0.2.\nAnswer: -25561.770219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809 (base 11) in base 9?\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1549, -1553, -1571, -1609, -1673, -1769, -1903, -2081?\nAnswer: -2309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1877 + 1891 = 0. What is the nearest to 1\/2 in 4, p, 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15981, -15750, -15519, -15288, -15057?\n\"Answer: 231*x - 16212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*b - 0*b - 33, -3*b - 5*s + 3 = 0. Let f be 3\/b + (-2)\/4. Solve 5*n - 8 = 2*c, f*n + n - 4*c = 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from fiiifnf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 26*m - 99. Suppose 164 = 12*b - 88. Determine a(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.53 + -3.53. What is the nearest to 2\/3 in -5, 16\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -235 - -243. What is the remainder when 190 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 12\/(-3))*-1. Let g be (-4 - 20\/v)*-3. Solve 4*i - 2*x = 2*x - 20, -5*i + g*x - 13 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255041932?\nAnswer: 2, 67, 951649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 2. Let g(q) = -5*q**2 + 5*q - 20. Let u(w) = -g(w) - 4*y(w). Let l be u(13). What is the highest common divisor of 24 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**4 + 2 - 2075*z**3 - 4*z**2 + 2071*z**3 - 2 in the form o*z**2 + f*z**3 + t*z**4 + y + b*z and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 9:59 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + h - 2. Let y be r(-2). Let t = -0.2 - -0.3. Let j = -2 - -2. Which is the nearest to j? (a) t (b) -0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5133, 5135, 5137?\nAnswer: 5139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from {j: 4, u: 2, t: 2, x: 1, v: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 539214075 and 1037.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-19) + (-84)\/76. Which is smaller: s or 2\/177?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685 - 795 = 22*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2515709 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16 and -0.212.\nAnswer: -16.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 2*r + 0*r)*(3*r + 0*r - r)*(5 - 4 - 2)*(-446 - 23*r**2 + 446) in the form z*r**3 + w*r**4 + k*r + n*r**2 + t and give w.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2785 + -2.9\nAnswer: -2787.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 + 0*l + 0*l - 9*l + 9*l - 6*l**2 + 5*l**2 + 0*l**2 - 4*l**2 + (-7*l + 0*l + 4*l)*(-l + 0*l - l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 821*r - 277. Let n be w(37). Round n to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) -5\/2 (c) 2 (d) 0.4 (e) -13.6 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -2, -0.02264, 1\/4?\nAnswer: -0.02264","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 166 (b) 0.8363 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -3\/5 (c) 7.9 (d) -5 (e) 4 (f) -213 (g) 2\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhzc when four letters picked without replacement from {y: 13, d: 3, h: 2, c: 1, z: 1}.\nAnswer: 13\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**5 + 1516*m**4 - 15452*m**3 + 42004*m**2 - 3272*m - 62240 = 0. Calculate m.\nAnswer: -389, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108\/1581353 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a - 11*a - 3*a + 13*a. Let v(d) = 12*d**2. Determine h(v(m)).\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527*b + 24427 - 2820 = 0 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*j**4 - 5*j**4 + 4 + 2*j**3 - 15*j - 6*j**4 - 2 as t*j**4 + u*j + h*j**2 + m*j**3 + f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f - 8. Let v(n) = -190 + 89 + 93 - 6*n. Let r(c) = 5*b(c) - 4*v(c). What is the units digit of r(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 19*h. Suppose -21*d + 5*d + 2464 = h. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -171*u - 2. Let o be d(-2). Suppose -7*n = -3*n - o. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*l - 5*l + 2*l)*(1 - 3 + 3).\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 4:20 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 805 = -2*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5715*u. Let o(y) = -2*y**2. Give o(b(a)).\nAnswer: -65322450*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -4*u**5\/5 - u**4\/2 + 5*u**3\/6 + 5*u**2\/2 + 12*u. Let w be n(9). What is w rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 - 76\nAnswer: -75.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let d(m) = -2344*m. Give v(d(f)).\nAnswer: -2344*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.07 + 16. Let u = 0.31 - 0.41. Is r less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -0.98, -5?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10344 = 113*k - 312280. What is the highest common factor of k and 501?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -158434*s - 2. Let q be w(-5). Let h = -542168 + q. What is h rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -43, 32\/21?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -9. Let h be (a\/5)\/((-7)\/35). Let q be (-4)\/(-18) + (-15)\/108. Which is greater: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 40 = -2*t, 3*t - 4*r - 61 + 1 = 0. Let a be 72\/(-20)*t\/(-6). Suppose 2*s - 5*s = -a. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46*4\/3*1995\/38. Suppose u = 2*b + 3*b. Suppose 0 = -v + 5*d + 681, 5*d + 4049 = 5*v + b. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4355292 - -4355292.4439311. Let j = l + -0.444. Round j to six decimal places.\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -51. Let c = -24 - k. 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 prob of sequence ddd when three letters picked without replacement from {r: 2, d: 16}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 682 - (-15 - -1)*12\/(-24). What is the greatest common divisor of u and 486?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 53?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-64)\/160)\/((-14)\/(-15)). Which is the closest to 4? (a) p (b) -12 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3 - 7283*c - 9 - 2 + 7275*c - 2*c**2. Let w = -1 - -4. Let h(g) = g**2 + 3*g + 3. Give w*z(o) + 8*h(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000623 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44444, 89468, 134486, 179498?\nAnswer: 224504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 4 + 9 + (-2 - 0)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + j = -7, -5*j = 4*g - 1 - 12. Let q(z) = 9*z + 2. Let h(u) = -5*u - 1. Give g*q(t) - 5*h(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + w + 2*w)*(w**2 + 0*w**2 + w**2) + 5 + w**3 + 6*w - 6*w + 128*w**2 - 63*w**2 - 60*w**2 - 19*w**3 as g*w**2 + o*w + k + m*w**3 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1884 (base 10) to base 4\nAnswer: 131130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 u when three letters picked without replacement from uvutvvtouv.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7395 - 6804. Calculate the remainder when o is divided by 293.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11207660 divided by -33860\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(832) - (sqrt(832) + 4 - sqrt(832))**2).\nAnswer: -13 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2106))\/(2*sqrt(128)))**2.\nAnswer: 1053\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 973*q + 244. Is 18 a factor of m(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -119, -117?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/((-9)\/(-6)))\/(-1). Let n = 1 - s. Suppose -2*j + n*q + 32 = 0, 0*q = 4*j - q - 84. What is the lowest common multiple of j and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/20*-1*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -51657 at most as big as 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 5*x - 46, -185*i + 44*i - 5*x + 186 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.83987*-8.\nAnswer: -6.71896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 152\/57*(-6)\/(-4). Solve -m + 2*m + s = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(2 + -1)*4. Suppose 6 = -2*b + 2*k - k, 3*k = -5*b - j. Let v be (7\/b)\/(-7)*38. Calculate the highest common factor of 133 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(700) + -1 - sqrt(7)).\nAnswer: 1 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82454.\nAnswer: 2, 41227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 17*n - 450 = 0. Solve -c = -6*c + n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from zzzubzbzzgbug.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(2\/7))\/k)\/k)**(-2\/5))**(-20)*((k\/(k*(k\/(k*k**(-3))*k)\/k))**17)**(2\/11) assuming k is positive.\nAnswer: k**(-1506\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*(k**3*k)\/k)*k**(6\/7)\/k*(k**2)**37 assuming k is positive.\nAnswer: k**(496\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -395138 = -395140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*7.861745\nAnswer: -0.7861745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 218*j**2 - j + 320*j**2 + j in the form w*j**2 + p + g*j and give w.\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2856*x + 22850. Let z be k(8). Factor -7\/4*h + 1\/4*h**z + 3\/2.\nAnswer: (h - 6)*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -4. Let d = 5.9 - j. Let s = -0.06 - -4.06. Sort d, -4, s in descending order.\nAnswer: s, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 2*g + 356. Let h = -8 + 8. Let p be y(h). Let v = -102 + p. Calculate the remainder when v is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4300 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -12. Let y = z - -13. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 2*z**2 + 2*z + 21. Suppose 6*s = 8*s. Is d(s) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t + 1. Let m be k(3). Let f = m - -3. Let h(g) = g + 8. Give h(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -154, -142, -116, -70, 2, 106?\n\"Answer: i**3 + i**2 + 2*i - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22280*i**2*l**2 + 2*i*l**2 + 630*i*l + 2*i - 9*l**2 wrt i?\nAnswer: 44560*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/1)\/(2\/(-4)) - -1. Let f be 0 + -1 - t\/(120\/(-56)). Which is the nearest to f? (a) -2\/3 (b) 5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 28\/(-7) - -751 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**4\/4 + i**3\/3 + i**2 - i + 1. Suppose 5*z - 12 = -2. Let m = 0 + z. Give q(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 9:21 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5781*o**3 + 2*o**2 - 20*o + 33. Is a(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.5440491 to three dps.\nAnswer: 3.544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:12 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:45 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -65*d + 205*d - 69*d - 66*d - 131 + 131. Let h(q) = 51*q. Let y be 1\/(1 - 1\/2). Determine y*h(t) - 21*a(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*t**3 + 3*t + 104.\nAnswer: -24*t**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-1)*-1*4\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d - 2*d)*(2*d**2 + d**2 - 17*d**2).\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33174*t**3 - 23*t + 33173*t**3 - 79*t.\nAnswer: -t**3 - 102*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -55325\nAnswer: 27662.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29\/72 - -7\/9. Suppose 3*r - 18 = -3*z, -3*z + 10 = r + 2*z. Let y be (-3 + -12)\/r - -8. What is the closest to -0.1 in 0.3, y, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 divided by 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58216, 58220, 58224, 58228?\nAnswer: 58232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 - 23. Calculate the highest common divisor of 1269 and b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*-3*3\/(-18). Let y be ((-21)\/(-9))\/(q\/546). Suppose 4*o + 3*s = y, 0 = o + 4*s - 113 - 56. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - 1*(-4)\/1. Let i be n\/(-7) + 1062\/(-42). Let v = -21 - i. Solve 4 = v*c - 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4))\/(12\/32). Let g be 2\/(-4)*(-4 - 2). Suppose 2*a + 32 = c*l, -g*a + 15 = l - 0*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -626 or 3857?\nAnswer: 3857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(440\/(-209))*(-4 + -1)\/(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 0) + (2 - -17) + -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1331) + 1 + sqrt(1331))*4 - (6*(0 + sqrt(1331)) - sqrt(1331))**2)*4.\nAnswer: -399252 + 1056*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -58591 smaller than -58591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/5, -0.402, 0.3, 3.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1549542, -3099078, -4648614, -6198150, -7747686, -9297222?\nAnswer: -10846758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 32?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 142490*h. Let d(q) = -3*q**2. Give d(o(w)).\nAnswer: -60910200300*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5 - -6)*58)\/(4\/26). What is the greatest common divisor of x and 273?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.078 - 0.04. Let s = h + 0.462. Let v = -22 + 22.4. Which is the nearest to 3? (a) 2\/9 (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.622 - -0.098. Let l = n + 0.28. Put 1, l, -1\/3 in ascending order.\nAnswer: -1\/3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38307 + 38307 - a**3 - 2*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/11016 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)*a*a*(a\/a**(-17\/3))\/a)**(-5\/6) assuming a is positive.\nAnswer: a**(-85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -71?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -231 - -356. Suppose 4*w - a = 5*l, 3*l - 85 = w - 5*w. What is the remainder when w is divided by (-80)\/(-8) - (-1 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.56 - 416.56. Let b = -412.7 - y. What is the nearest to 0 in 8, -1\/5, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2)*o)\/(o*o\/(o\/o**(-1\/8)*o)))\/((o**24*o)\/(((o\/(o\/(o**(3\/13)*o)))\/o)\/o)))**26 assuming o is positive.\nAnswer: o**(-2771\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*q**6 - 38*q**5 + 2*q**3 - 6804*q**2 - q wrt q?\nAnswer: -6240*q**3 - 2280*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035 + -8814718?\nAnswer: -8814718.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 134*t**2 - 56*t - 313. Is s(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f**2 - 2*f**4 - 9*f**2)*(2*f - 4*f - 2*f)*(-2 - 4 + 5).\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3952859247?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 2 - 20 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 d when four letters picked without replacement from dffdodf?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = -i + 3*z, 5*i - 7*z - 975 = -2*z. Suppose -34*v = -10*v - 192. What is the greatest common divisor of i and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n + 25 = 0. Let r(q) = 11 + q**3 - 8 - 6 - 3*q**3 + 3*q**2. Let c(p) = 2*p**3 - 4*p**2 + 4. Calculate n*c(u) - 6*r(u).\nAnswer: 2*u**3 + 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 1:14 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -390\/7. Suppose -2*w + 401 - 27 = 0. Suppose 188*t = w*t - 2. What is the closest to -2\/3 in t, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35784697\/3 or -11928232?\nAnswer: -11928232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) -1 (b) -1\/9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7295696 is divided by 7295624.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 6*y**2 - 4*y - 4. What is t(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 14*f - f**3 - 4*f**3 + 3*f**3 + 18 as w*f**3 + x*f + p*f**2 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2 (b) 3\/8 (c) 0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + n + 9. Let r be o(0). What is the second derivative of 9*b - r*b**5 + 10*b**5 + 9*b**5 wrt b?\nAnswer: 200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 8 = 2*w, 12 = 5*w - 7*w + 2*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529553982?\nAnswer: 2, 3, 47, 547, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(7)*2*3 - ((1 + sqrt(343) - sqrt(343)) + -4 - sqrt(343)).\nAnswer: -23*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18193)\/(-9492))\/((-1288)\/(-32))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22283222009935 and 0.3?\nAnswer: 22283222009934.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*((-9)\/(-6) - 2). Suppose -5*v - 2*n + o + 17 = 0, 2*v = 5*n + 30. Suppose 70 + 30 = v*l. What is the smallest common multiple of 14 and l?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/23*p - 10\/23*p**2 + 10\/23 + 2\/23*p**3.\nAnswer: 2*(p - 5)*(p - 1)*(p + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61\/39 - 17744\/117. Let s = o - -153. Is 0.19 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -337*h**3 + 7*h**4 + 337*h**3 - 28*h**5 - 2*h**2 + h**5 - 6*h**5 + 3*h**5 + (-3*h + 3*h - 3*h)*(2*h**4 + 0*h**2 + 0*h**2).\nAnswer: -36*h**5 + 7*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -16. Suppose m = 2*q - 0*q. Factor q*c - 8\/9 - 2\/9*c**3 + 2\/3*c**2.\nAnswer: -2*(c - 2)**2*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b - 15. Let n(i) = i + 15. Let z be (2\/(-5))\/(1\/(-20)*-1). Let d be n(z). Is 13 a factor of f(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 11, t: 2, g: 2, w: 1}. What is prob of picking 1 t and 2 v?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -34 + 14. Let w = 0 - k. What is the third smallest value in 2, w, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -307, -300, -283, -250, -195, -112, 5, 162?\n\"Answer: v**3 - v**2 + 3*v - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12629400 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9 - 6*a - 9*a**2 + 24*a**2 + 26*a**2. Is j(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-2)\/(20\/(-25)). Let b = 3 + 0. Sort b, k, -8 in increasing order.\nAnswer: -8, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2434 + 2442. Solve 0 = 2*m - 4*g + z, -8*m = -10*m + 2*g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.41 + -4847.\nAnswer: -4846.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 571700 to the nearest 10000.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10875 is divided by 2687?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5459 - -5533. Is 587\/8 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 2*j + 4*j + (-2*j - 3 + 3)*(0 - 3 + 2))*(0*j + 25*j + 16*j).\nAnswer: 164*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 297\/54 + (-2)\/4. Solve -5*o = 20 + c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*r + 34. Let j = -17 + r. Calculate the highest common factor of j and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 7, u: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -16\/3*q**3 + 49\/20*q**6 + 0 + 0*q - 2\/3*q**4 - q**2 + 119\/30*q**5. Factor m(z).\nAnswer: 2*(3*z - 1)*(7*z + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, 0, 0.44, -0.4 in increasing order.\nAnswer: -0.4, 0, 0.2, 0.44, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -630*b**3 - 36862*b + 160456454 with respect to b.\nAnswer: -1890*b**2 - 36862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*u + 18. What is the remainder when (-15)\/u + 78\/5 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6078420 is divided by 243136?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38.01 + -38. Let y be (-22)\/(-16) - (2 + -1). What is the second biggest value in -1\/3, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -90. Suppose u - 102 = -4*k, 2*k - 3*u = u + i. Let r(y) = y**2 - 32*y - 135. Let v be r(36). Solve -k = -4*n - v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1280391.\nAnswer: 3, 7, 19, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 549 + -6?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, 1.5, 2\/5, 11 in descending order.\nAnswer: 11, 1.5, 2\/5, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**7\/11340 - 11*i**6\/1620 + i**4\/8 - 7*i**3\/2 + 59*i**2. Let u(f) be the second derivative of y(f). Factor u(m).\nAnswer: 2*m*(m - 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 576646?\nAnswer: 576654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -332, -1367, -3078, -5465, -8528, -12267, -16682?\nAnswer: -21773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yym when three letters picked without replacement from mimmimimiyumiiffumy.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 228672 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8346599373 to the nearest integer?\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + -3. Let d = q + 4. Let n be 4*2\/(-8)*(-12 - (-22)\/2). Which is the closest to 3? (a) 0 (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaiaaaaa. Give prob of picking 2 a.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.1, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c + 14. What is n(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 0, 0.2, -1, 2\/23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/7 + 119\/49. Suppose -20 = -5*l - 5*i, -p*l + 11 = 3*l + 2*i. Let y be -1 - (l + (-4 - -7)). Is -6 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7*t + 4 = 0, -3*t - 212 = -5*h. Let c = h - 26. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s - z + 25 + 38 = 2*z - 15, 391 = 7*s + 4*z + 350 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11655 less than -12945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/15 (b) -3 (c) 4 (d) 0.002 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44055 = -38*o + 899. List the prime factors of o.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -3, -9.\nAnswer: -9, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 10*z**2 + 3*z - 2. Suppose -4 = 3*x - 10. Let u be h(x). Suppose u = i + i. What is the highest common factor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 8*n - 11. Let s be q(-10). Suppose -5*p + s = -21. What is the remainder when 11 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 3:55 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1191 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 923160.29715?\nAnswer: 923162.29715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*t - 490*t = -80*t - 90*t - 8450 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*o*u**4 + 9*o*u**3 - 3*o + 5686*u wrt u?\nAnswer: 936*o*u**2 + 54*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 6)*(0 + 1 - 4)*((0 - 2*r + 0)*(r**2 - r**2 - 4*r**2) + (-4*r**2 + 4*r**2 + 3*r**2)*(-r + 4*r - r)) to x*r**2 + v + k*r**3 + w*r and give k.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -376768 divided by -2\nAnswer: 188384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (100960\/(-880) + 112)\/((-2)\/44)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -603 divided by 67.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7949779 to the nearest integer?\nAnswer: 2820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/((0 - (-1)\/14)*2). Let x = b + -32. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 1625?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 27555 and -1.97.\nAnswer: 27553.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 >= 2975205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*y - 7*y - n, 4*y - 3*n = 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6187612?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -266.3976 from 151632.6.\nAnswer: 151898.9976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6174\/1372*-2*-1*(-2 + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 7*h = 37*h - 2760. Calculate the smallest common multiple of h and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 5393280.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4781, 4773, 4763, 4751?\n\"Answer: -l**2 - 5*l + 4787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-11 - -2)) + (1 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2 + (-13)\/(-3))*-1)\/((-20)\/163800)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-17*(-12)\/(-2244)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -8. Let q(t) = -2*t**2 - n*t**2 + 9*t**2. Let v(k) = -k. Calculate q(v(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 = 62*y - 53*y - 461. Sort -7, 1, y.\nAnswer: -7, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*d**3*m**2 + 7*d**3*m - 11*d**2*m - 4*d*m**3 + 2*d wrt m.\nAnswer: 72*d**3 - 24*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 5)*(-52*h + 138*h - 15*h).\nAnswer: -284*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -578*y**4\/11 + 81872*y**3\/11 - 214014*y**2\/11 + 187208*y\/11 - 54488\/11 = 0. Calculate y.\nAnswer: 14\/17, 1, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**5\/2 - a**4 - 19*a**3\/2 + 16*a**2 + 24*a = 0.\nAnswer: -4, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20606*b - 150822 = -23399*b for b.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 6 = 4*j, 12*r - 81 = 5*j + 52 - 40 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8619481 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*u - 210*u**3 + 205*u**3 - 50*u.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 5*m**2 + 10*m - 7. What is c(-6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -6*q + 9. Suppose 0 = 3*p - 16 + 67. Let v = p + 17. Solve a = -q*j - 1 + 11, v = 4*a + 2*j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257183 is divided by 202?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 5*v**2 - 4*v - 4. Let t be o(6). Find the third derivative of t*m**4 + 9*m**2 + m**4 - 2*m**4 wrt m.\nAnswer: 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 25. Let m(p) = p**3 + 8*p**2 + 5. Let g be m(-8). Suppose g*a - 3*a = 0. Solve -i = -a*o - 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/13 (b) -8 (c) -0.3 (d) -1\/10 (e) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 6184.1544502 and 0.01.\nAnswer: 6184.1644502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 9. Calculate x(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99321778?\nAnswer: 2, 19, 2613731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**42\/(h**(2\/9)*h*(h\/(h\/(h\/(h\/(h*h**(1\/9)*h)))))\/h)*h**(-38)*h**0\/h**(1\/4) assuming h is positive.\nAnswer: h**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/3 - (4 + -4). Let x be w\/(-6) + (-23)\/(-6). Suppose 15 = 3*n - 3*i, -x*n - 1 = -i - 9. Which is bigger: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -44470*y + 9. Let w(s) = 70*s. What is w(p(g))?\nAnswer: -3112900*g + 630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 14) to base 3.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**8\/280 + n**4\/24 - 8*n**3 + 32*n**2. Let p(v) be the second derivative of i(v). What is p(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b. Let r(w) be the first derivative of 40*w**3\/3 + 6*w + 7817. Determine g(r(x)).\nAnswer: 80*x**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 130, 117, 102, 85, 66?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((504\/4)\/6)*3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9070 to the nearest one hundred.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*i = 382, -i = 3*u - 2*u + 188. Let p = 190 + u. Solve -5*h = k - 6*k - 20, -4*k + p*h = 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6361 = -2*g - 3*v, 2*g + 5*v - 6860 = -489. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 378, 1045, 2862, 6405, 12250, 20973?\n\"Answer: 96*s**3 - s**2 - 2*s + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 20. Suppose d = 5*d - l. Suppose -4*k + 1652 = -2*g, 1652 = d*k + k + 5*g. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -18*u - 1 - 1 + 1 + 16*u. Let w = -434 + 436. Determine b(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 7*t**2 + 22. Let i be u(-9). Let z = i + 281. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4664a + -1405?\nAnswer: -47a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 283, 634, 1125, 1756, 2527?\nAnswer: 3438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.8 + 0. Let x = -2.7 - 0.3. Let g = i - x. Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*l + 32 - 74 + 32 + 5*l + 2*l**2 as f + w*l**2 + i*l and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6225953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102853 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.071019099 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/243 - 745\/1944. Which is the closest to 1? (a) j (b) -0.3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/7 - 8683*c**3\/7 + 18870317*c**2\/7 - 13455239*c + 112961526\/7 = 0.\nAnswer: 2, 3, 4339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l**3 + l**2 + 2*l + 6. Let m(p) = 4*p**3 - p - 3. Let b(g) = 7*m(g) + 3*t(g). Calculate b(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**3 - 2*s**2 - 3*s - 2. Let b be t(-1). Suppose -3*l + 10 = -4*g - 5*l, -18 = b*g + 5*l. Sort 0, -4, 15, g in descending order.\nAnswer: 15, 0, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 6. Let b(i) = -i**3 + 4*i**2 - 4*i + 2. Let n be b(2). Suppose -n*h - 44 = -j*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7721611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/112 - (-25)\/(-12).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - p - p - 908, -v - 4*p + 164 = 0. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71155237241 plus -4.017?\nAnswer: -71155237245.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -396*0.37\nAnswer: -146.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -16. Let m = -1750 - -1756. What is the lowest common multiple of m and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(37\/2)\/m*m**12 assuming m is positive.\nAnswer: m**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5775, -11565, -17355, -23145, -28935?\n\"Answer: -5790*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 14*t**2 - 3*t + 4. Let o(g) = g**3 + 6*g**2 + 3*g - 4. Let x be o(-5). Suppose -x*j + 26 = 8. Is a(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + -21. Let g = -82.8 - k. What is the fourth smallest value in -0.2, 0.3, g, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 2*s + 1. Let l be 14*(6 + 2*(-1 - 0)). Let g be -5 + (l\/4)\/2. Determine i(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 + -63. Let p = 5.6 + -6. Let n be 24\/(-18) + (-2)\/3. Put n, p, k in descending order.\nAnswer: p, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -62. Calculate the remainder when 29 is divided by (-74)\/(-10) + k\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anaaahhnnnanaan. What is prob of sequence hnh?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 211 - 150. List the prime factors of c.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 4*z**2 + 2*z - 1. Let v be y(-3). Is v\/(-6)*0 - -59 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 3. Let u be z(-6). Let b(g) = -g + 0*g**2 - 2 - g**2 + 2*g**2. Let o(t) = -t**2 + 2*t + 3. Give u*o(h) - 4*b(h).\nAnswer: -h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599301966?\nAnswer: 2, 3, 859, 116279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -457685.79 and 11282933.\nAnswer: 10825247.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + -1*sqrt(600) + sqrt(6))\/(-4*sqrt(162)).\nAnswer: 2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = 5*r - 133, 8*j = -3*r + 54. Solve r - 28 = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.5 + -6.1. Which is the second smallest value? (a) 3 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 + 75\/15 + 1123 and 339?\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 3\/(-6))*2. Let v(a) = -13*a**3 - 2*a**2 + 2*a - 2. Let l(b) = 28*b**3 + 5*b**2 - 5*b + 5. Let y(w) = 3*l(w) + 7*v(w). Calculate y(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12426.61281252 + -0.2\nAnswer: 12426.41281252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 693346142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 8*r + 2. Let z be w(-8). Solve 5*t + 2*f + z*f - 4 = 0, -t + 3*f = 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 49 = 8*x, -17680*x - 3*o = -17683*x + 33 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**3 - 3*q**2 - 6*q + 6. Suppose -84 = -37*i + 23*i. Let y(v) = 9*v**3 - 5*v**2 - 11*v + 11. Determine i*y(z) - 11*k(z).\nAnswer: -z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 2478*l**2 + 19920*l + 39904.\nAnswer: -2*(l - 1247)*(l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 1, s: 2, a: 2, t: 2, d: 1}. Give prob of sequence acsd.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 divided by 191?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 5*k - 78 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16663 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.393148?\nAnswer: -1.96574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 1 (b) -5 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + -1020100?\nAnswer: -1020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 287692 and 1136.\nAnswer: 1150768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -19*g. Let o(q) = -14*q + 36. Let m(c) = -55*c + 135. Let z(l) = 4*m(l) - 15*o(l). Give x(z(b)).\nAnswer: 190*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-32)\/(-18)*-3. Let r = d + 34. Solve u - 5*u = 3*k - 11, 2*u = -4*k + r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 * -51\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 313, 611, 911, 1213?\nAnswer: 1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p - 70. Let h be g(16). Suppose -4*i + 24 = -5*u, 3*i + 9 = -6*u + 3*u. Is 9 a factor of -5*((-28)\/h + i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10610 is divided by 175.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-770))\/(116\/(-812))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*c = -893171 + 93111 - 106392. Does 51 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 100 = 150. Let p = -45 + j. Let o be 3 - 16\/p - 3\/(-5). Which is the third smallest value? (a) -1 (b) o (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 5:50 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*i - 940*i + 180 = -478*i for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.9 and 124182?\nAnswer: 124182.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122110 (base 3) in base 16?\nAnswer: -789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 + 100 = -27*v. Let h(p) = 9*p**2 - 9*p - 72. Is 21 a factor of h(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1 (b) 0.056 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 3*s + 8. Let u be j(-6). Suppose k - 2 + 9 = 0. Let w be (u - (-3 - k))*-8. Calculate the highest common divisor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -89\/5*q**2 - 1\/10*q**3 + 36*q + 0 = 0.\nAnswer: -180, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**3\/15 - 4348*y**2\/5 - 18905104*y\/5 - 11557. Find m such that a(m) = 0.\nAnswer: -4348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -7*w - 24. Calculate the remainder when 59 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 - -112. Let h be d - 11 - (-5)\/2. Determine l, given that 0 - h*l**2 + 0*l = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13597, -12479, -10631, -8065, -4793, -827, 3821, 9139?\nAnswer: 15115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 36*t + 312. Calculate s(-39).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-303480)\/(-13))\/4 + 32\/(-208). Suppose -a - l = 4*l - 1448, -4*a + 2*l = -n. Is a a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -118649*x. Let r(f) = 3*f**2. Calculate r(k(j)).\nAnswer: 42232755603*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -24) + (-15 - (-32 - -37)) + 19.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 135, 134, 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42*454\/20 - 90\/225 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007015137 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151 + 5*l - 151.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48146.27mm to meters.\nAnswer: 48.14627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 11*m**2 - m + 16. What are the prime factors of u(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41612733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 1. Determine s(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 840415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 677*q**6 - 2*q**3 + 86*q**2 - 9?\nAnswer: 81240*q**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 28. Suppose n + 1 = 3, 2*t = 4*n. What are the prime factors of -37*t\/o*3?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 272*k**2 + 3*k. Let w(b) = -3*b. What is l(w(a))?\nAnswer: 2448*a**2 - 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -19. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -964 > -965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-5 + sqrt(700) + sqrt(700) + sqrt(700) + -3)*4)**2*-1.\nAnswer: -509120 + 38400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -226 + 223. Let i be (10\/n)\/(43\/19608). Round i to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**2 - 14*r**2 - 10*r**2 + 35*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2621 + 5553 - 2932 + 40366*o to the form i*o + l and give i.\nAnswer: 40366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -102622 - -2?\nAnswer: -102620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2 - 8*g**2 + 45*g - 15*g - 2 as z*g + j + x*g**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvwi when four letters picked without replacement from {f: 1, v: 3, w: 1, i: 3, u: 4, c: 3}?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.283 + 0.017. Let y = 31 + -158\/5. What is the smallest value in 1, -2\/5, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183928 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010110101 - 101?\nAnswer: -10010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udum. What is prob of sequence mu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -43, -77, -125, -193, -287, -413, -577?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3965 + 15*a + 3966 - 55*a)*(2*a**2 - 5*a**2 + a**2) as v*a**3 + f + z*a**2 + n*a and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/2352 and -47\/16128.\nAnswer: 112896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*q - 953*q + 274*q = 25440 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06976489297 rounded to five decimal places?\nAnswer: 0.06976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12010180?\nAnswer: 2, 5, 7, 13, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.239 - -4.761. Let n = -51.1 - -51. What is the closest to -0.2 in 1, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -1398.\nAnswer: -5\/699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*x - 47. Let b = 463 + -901\/2. Let o = x - b. What is the closest to 1 in -2, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*(-1635)\/(-218)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (692 + 703 - 1392)*(m**2 + 3*m**2 - 2*m**2).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*u**5 + 2*u**4 - 202*u?\nAnswer: -1080*u**3 + 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(-4 + sqrt(208) + (0 + sqrt(208))*-2 - -2*((sqrt(208)*2 - sqrt(208)) + -3))**2.\nAnswer: -240*sqrt(13) + 921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 5*d + 4, -4*t + 13*d = -8*t + t - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55445500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by (-5 - -6) + (-2 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216230 is divided by 348.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*j**2 + 1745283*j - 1047177.\nAnswer: (4*j + 349059)*(5*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.08 (b) 606 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 5. What is the lowest common multiple of 3 and s(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1867 = 2*a, -473 - 2325 = -3*a + l. Does 103 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/180 - (-2)\/(-9). Put -0.1, q, 8 in decreasing order.\nAnswer: 8, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.25944 millimeters in meters?\nAnswer: 0.06725944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 220 and -1966.4455.\nAnswer: -1746.4455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 106202208703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + h - 3)*(78*h**2 - 84*h**2 - h**3 - 2*h**3).\nAnswer: -3*h**4 - 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/19 (b) 115\/3 (c) 0 (d) -1 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 482891935 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 98*p + 23*p + 1 + 4 + 57*p. Let m be b(1). Let w = 322 - m. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 - (20 - (-3 + 32))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 9 = -3*t. Suppose 2*i = -3*z - 6, t*z + 10 = 4*i - 2*z. Is 40\/5 - (0 - i) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 6 = 15. Suppose -2*n = w*x - 97, -3*x + 4*n + 116 = x. Calculate the remainder when 90 is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 2*t + t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1286, -1449, -6006, -12385, -20586, -30609?\n\"Answer: -911*x**2 - 2*x + 2199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.44551 centuries in months?\nAnswer: 113334.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*(sqrt(192) + sqrt(192)*1*2) - (4 + 2 + sqrt(192))*5)*-6)**2.\nAnswer: 7344000*sqrt(3) + 50749200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 2744?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 12) in base 11?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.016 (b) 299 (c) -51 (d) 0.01 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -90, -5, -3, 54, 1, 4 in decreasing order.\nAnswer: 54, 4, 3, 1, -3, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*3 - (-9 - -4). Suppose 4*h - 41 = 3*u, h - 4*u + 4 = -p. What is the remainder when h is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 8*a - 3*d = 23*a - 19, a = -4*a - 50*d + 70 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 2206*y**3\/3 + 3*y**2\/2 - 22*y - 56. What is the second derivative of x(o) wrt o?\nAnswer: 4412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in minutes?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -185*l**2 + 1 - 1 - 57*l**2 to the form x*l**2 + w*l + d and give x.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 2*m - 7 + 7*m - m + 0*m**2. Calculate the remainder when b(-6) is divided by 2\/(-1)*(-6)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -249.\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -17*u + 3\/8*u**2 + 1\/40*u**6 + 0*u**5 + 0 - 1\/8*u**4 + 0*u**3. Factor t(q).\nAnswer: 3*(q - 1)**2*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(4\/66 - 86892\/(-10296))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 5*x + 3. Suppose 0 = 2*d + 20 + 86. Let b = -50 - d. Determine m(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-10))\/((-1)\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3. Suppose s + s - 5*n - 1 = x, 5*s = 3*n + 12. Suppose -2 = r - s*r. Put -1, -3, r in decreasing order.\nAnswer: r, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 5, t: 10, h: 3}. What is prob of picking 1 k and 2 h?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 463, 441, 419, 397?\n\"Answer: -22*w + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 98141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)\/t**(-31))**(-33) assuming t is positive.\nAnswer: t**(-693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*b**2 - 20*b**2 + 10*b**2 + 43*b**3 as q*b + w + m*b**3 + y*b**2 and give m.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16645 + 16658. Calculate the remainder when 3311 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 14*y + 73. Let h be s(-4). Suppose -8*g = h*g - 13100. What are the prime factors of g?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (4 - 15)*1. Let j(r) = r**3 - 9*r**2 + 11*r - 14. Let u be j(g). Suppose -u*m + 8*m + 84 = 0. Calculate the greatest common divisor of m and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*r - 124*r + 57*r - 2 + 2.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 34*b + 4*b = 53*b - 8*b + 22, -16 = 4*k + 4*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 0*l + l**3)*(l + l - l) - 8*l**4 + 33*l**2 - 33*l**2 + 587*l**2 + 23*l**4 - 587*l**2 as h*l**4 + u + j*l**3 + t*l + z*l**2 and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*l + 4*o, 5*o - 3*o = 3*l - 4. What is the highest common divisor of l and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (1 + -4)) + (12 - 6 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41280, 41264, 41236, 41196?\nAnswer: 41144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*b - 3. Let j = 7\/2 - b. Is j < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-40)\/28)\/((-1 - 2310\/(-2330))\/70) a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10de (base 16) in base 11?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64243511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**4\/12 - m**2. Let v(j) = -4*j**2 + 13*j + 13. Let b(h) = -h**2 + 3*h + 3. Let c(x) = 26*b(x) - 6*v(x). Determine c(a(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -13. Let d be 45\/(-36) + v\/(-8). Calculate the remainder when 1464\/32 + d\/(-4) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 68 = -3*j + j, -j - 88 = -5*m. Calculate the least common multiple of 12 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -273 + 1.8\nAnswer: -271.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28 + 85\/3*m**2 - 1\/6*m**3 - 337\/6*m.\nAnswer: -(m - 168)*(m - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29592 + -29592.084. What is the nearest to t in -2\/13, -3, 3\/4, -0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68086348?\nAnswer: 2, 11, 19, 23, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11785669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 41914298?\nAnswer: 41914301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1 - (-2)\/(-6)) + 1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 19556740.\nAnswer: 215124140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48938 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.123064 litres in millilitres?\nAnswer: 3123.064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 619051853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9027 + -58?\nAnswer: 8a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 12*t**2 + 12*t - 15. Give s(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64\/36000357 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*p**2 + 275*p**2 + 15 - 66*p**2.\nAnswer: 2*p**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 281287 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (214\/10)\/(12\/60) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2077 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.159 * -22289\nAnswer: -3543.951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12440 + -12440. Solve j = -15*m + 24 - 114 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 11*d**2 - 29*d - 16. Let t be s(-13). Suppose 17*q = t*q - 2076. Does 36 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*w + 2)*(-103 + 103 - 9*w**2) + w**3 - w**3 - w**3 + (3*w - 2*w + w)*(w**2 - 1 + 1).\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/859 in 19, -0.5, -0.2, 0.3, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21834853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120711 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 17*d**2 - 8*d - 11. Let w be n(17). Let l be 4\/(-16) - w\/12. What is the common denominator of 79\/18 and (2\/l)\/(32\/(-1016))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 13899 + 11985 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 7:51 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 7. Let v be j(-8). What is the second derivative of -3*b**3 - b**3 - 1 + v + 3*b wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19985875, 19985876, 19985879, 19985884?\n\"Answer: w**2 - 2*w + 19985876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -10. Let s be (8\/36 - v) + 6\/(-27). Factor 5*i**2 + 10*i**2 + 10*i**4 + 6*i - 7*i**s + 12*i**3.\nAnswer: 3*i*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffbbfllffb. Give prob of sequence ffb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(3\/2))*a*a**(-2\/7)*(a\/((a*a**(2\/3)\/a)\/a))**(1\/2))**47 assuming a is positive.\nAnswer: a**(5687\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1782 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - s**2 - s - 20. Let d be p(0). Let r = d - 198. Let x be r\/(-1) + (-4)\/(-2). Round x to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1062, -3844, -8436, -14802, -22906?\n\"Answer: 6*s**3 - 941*s**2 - s - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4459 rounded to the nearest one hundred?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 900, 5 in descending order.\nAnswer: 900, 10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 72 = 5*d. Let t = 1 + -1. Suppose t = 2*c - d - 22. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 36*o - 263. Let b(u) = -2*u**2 + 3*u - 1. Let d(q) = a(q) - 3*b(q). What is l in d(l) = 0?\nAnswer: -4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -109*c + 99. Calculate b(2).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 1. Let u(l) = -c + 4*l**2 + 0*l**3 + 8 - l + l**3. What are the prime factors of u(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/108)\/((-55440)\/(-540) - 104)?\nAnswer: -1\/144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*i = 6*r - 3336, 2*r - 1670 = -i. What is the greatest common divisor of r and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/72 - (-409)\/(-450). Let z = -1\/50 - t. Which is the nearest to -1? (a) z (b) -1\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 8:27 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + 2. Suppose -105 + 26 = -5*o + 3*j, 4*j + 77 = 5*o. What is the remainder when o is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.9 + -30.89. Let z = w + 2.99. Let q be -4*(-1 + 2 - 0). Sort z, 0.04, q in increasing order.\nAnswer: q, 0.04, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132600 and 119?\nAnswer: 928200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**5\/40 + c**3\/2 - 2*c**2. Let p(q) be the first derivative of d(q). Let m(s) = -s + 14*s - s - 8*s. Calculate p(m(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18252 and 2772.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 - 3 = 0. Let h be (5 + -10 + 4)*(-615)\/123. Sort 0, -4, h, q.\nAnswer: -4, q, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 6*t + 1. Let d be x(-6). Let g(p) = p + 1. Let b(y) = 2*y + 33. Let u(r) = b(r) - 4*g(r). Let z be u(14). Solve d = -f - z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 6) + 2 + (0 - 6). List the prime factors of (120\/(-16) - w)\/(1\/1402).\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -119\/3 + 40. Let a = -3\/10 + 2\/15. Which is smaller: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/840 and 209\/210.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1746020*4.\nAnswer: -6984080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 45*r - 47 - 6*r.\nAnswer: 39*r - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406*h - 397*h = 18108. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.66*-0.052195\nAnswer: -0.0344487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*g - 4*g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17034 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39286216 and 98215540?\nAnswer: 196431080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -2 + 16)*3. Let t = q + -38. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clcl when four letters picked without replacement from lclcll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(-o - 2*o + 2*o) + (4*o + 4*o - 5*o)*(0 + 2 - 1) + o + 8 - 8 as s + u*o and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 194 - 194. Suppose 2*j = -4*p - 89768, -3*p - 8*j + 10*j - 67312 = h. Round p to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5 - 159*f**4 + 2382*f**3 - 7716*f**2 + 7128*f = 0. Calculate f.\nAnswer: 0, 2, 22, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*z + 3*z. What is the least common multiple of z and -51 + 15642\/110 + -2*1\/10?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*v - 4142*k**3 - k**2 - 3*k*v - 4173 wrt k?\nAnswer: 6*v - 24852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**5 - 2*u**5 - u**5)*(-2576 + 10935 - 1335 + 9890 + 12186).\nAnswer: -116400*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1594*z = 1595*z - 35 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*l = 12*l + 966 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4444\/957*3 - (-9)\/(1827\/14).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -455.66 rounded to the nearest ten?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.712 + 0.642. Let q = p - -0.07. Let w = 57 - 401\/7. Which is the nearest to w? (a) 1 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (6 - 0) + 13 + 3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 8*w + 155. Let b(l) = -7*l - 157. Calculate 6*b(g) + 5*h(g).\nAnswer: -2*g - 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8830203 less than or equal to 8830175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyhhhyhhyyh. Give prob of picking 1 y and 2 h.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 265, 2127, 7175, 17005, 33213, 57395, 91147?\n\"Answer: 266*r**3 - 3*r**2 + 9*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2894 - -26086\/9. What is the common denominator of q and 25\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 2 = -8*l. Calculate the least common multiple of 21 and 27 + 1\/(l\/6).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -2\/43 (c) -53.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 - -2.3. What is the smallest value in 3\/2, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020 + -300?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4*v = 12, 5*o - 20*v + 11 = -24*v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from abaaaaabaaaa.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*g = -5*h - 49*g + 851, 2*h + 14*g - 238 = 0. Solve -k + 6 = -h*f + 173*f, -4*k + 6 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -13*t. Let o(g) = 423*g - 116. Let d be o(2). Let m(l) = -720*l + 1516*l - d*l. Determine -4*m(z) - 21*v(z).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(357\/492) + 18\/42?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/372 and ((-2)\/36)\/((-60)\/6102)?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**3 - 12*p. Suppose 8110 - 8095 = 5*s. Let x(k) = 2*k**3 + 6*k. Calculate s*w(v) + 5*x(v).\nAnswer: -2*v**3 - 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j - g + 12, 39*g - 44*g + 2 = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52930*i**3*m**2 + i**3*m - 1097*i**2*m + i*m**3 + 3*i*m wrt m.\nAnswer: 105860*i**3 + 6*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**2*p**2 + 2*i**2 - 16*p**3 + 68 wrt p.\nAnswer: 6*i**2*p - 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 827 or 90887\/110?\nAnswer: 90887\/110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4258427 take away -0.045?\nAnswer: -4258426.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21518, 21641, 21764?\nAnswer: 21887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/4636 and -59\/16.\nAnswer: 18544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -86*i**3\/3 - 2*i - 135. What is the first derivative of a(r) wrt r?\nAnswer: -172*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 9:59 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18464 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 24291*z - 24290*z - 5, 0 = -3*z - r + 28 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -8.3. Let j be (-33)\/210 + 9\/(-63). Let b = 0.6 + -0.1. Put j, b, x in decreasing order.\nAnswer: b, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 16528.\nAnswer: 16528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w - 5. Calculate k(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 + 664*n\/3 + 662\/3.\nAnswer: 2*(n + 1)*(n + 331)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5 = -3. Suppose 4564 = b*u + 12*u. Let g be 8\/2640*u + -1*1. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k + 17*k + 26*k**2 - 36*k.\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14*(1 + (-153)\/(-6))\/(-1). Let l = 936 + h. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2 + 6 - y - 1 - 4. Let s be g(0). Let u = -31\/330 - 4\/55. What is the third biggest value in s, 0.3, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271 + 135 - 26*i**3 + 128.\nAnswer: -26*i**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 7. Let t(r) = 4*r + 18. Let b be t(-4). Solve l = -c - b*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, -80, -50?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**8\/1848 - 8*r**7\/1155 + 3*r**6\/110 - 9*r**4\/44 + 4*r**2. Factor v(y).\nAnswer: 2*y*(y - 3)**3*(y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17330 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -674*k**5 + 8091*k**4 + 8726*k**3 - 39*k**2 = 0.\nAnswer: -1, 0, 3\/674, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (5 - (34 + 2)) + 4 + -7?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.107 + 0.03. Let p = 0.237 - l. Suppose 4*h = -20, 0*d = -d - h - 8. What is the nearest to 1\/2 in d, p, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 g, and 1 l when four letters picked without replacement from ggkbgglnlb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 370139 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42798.0012 - 42779. Let j = -0.2 + 19.2. Let o = j - n. Round o to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - (-116)\/(-20))\/(2\/30). Solve 0*q + 10 = 5*q + 5*l, -i*q + 5*l = -22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 7. Let i = s + 9. Calculate the greatest common factor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/5*(2700\/(-72) - -34).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 5 - 86 + 6*d**2.\nAnswer: 6*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/150 and -5\/4944.\nAnswer: 123600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 496547975927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/7 - 80*z**2\/7 - 81*z\/7.\nAnswer: z*(z - 81)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -616, -526, -434, -340?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-8)*6\/(-15). Suppose -27 = 4*n - n. Let y be (6\/n)\/((-10)\/(-6)). Is y less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, s: 10, y: 2}. Give prob of sequence sy.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 2*h - 23973 + 24009, 0 = 2*q + 2*h - 56 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 9:32 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 + (10 - (-45 + 8 + 23))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)\/sqrt(7))\/sqrt(12) + (sqrt(5) - (sqrt(20)\/sqrt(4) + 4)))*6 + (sqrt(405) - (5 + sqrt(405) + 1))**2 + 1 + 1 + sqrt(405) + -2.\nAnswer: 12 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/2)*s)\/s**2*s**(-6)\/(s\/s**(-1))*s**(-5)\/s**1*(s**0)**(-1\/7) assuming s is positive.\nAnswer: s**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 20 = 4*a, -s - 18 = 5*a. Suppose -2*k - s*h = 12, 0 = -5*k + 2*h - 24 + 8. Sort 2, k, -2 in ascending order.\nAnswer: k, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c8b47 + -90?\nAnswer: 3c8a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15715728.\nAnswer: 2, 3, 7, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -220779 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -1. Let s = -0.1086 - 5.8914. Which is bigger: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3768069, -15072268, -33912599, -60289062, -94201657?\n\"Answer: -3768066*u**2 - u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**2*y**2 + 10*g**2 + 2*g*y - g + 1338*y**2 wrt y.\nAnswer: 2*g**2 + 2676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2375 and 652?\nAnswer: 1548500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -297, -199, 69, 597, 1475, 2793, 4641?\n\"Answer: 15*g**3 - 5*g**2 + 8*g - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171489696?\nAnswer: 2, 3, 7, 255193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2 + 6*h. Let i(m) = -2*m**2 + 5*m. Let q(c) = -5*f(c) + 6*i(c). Suppose 3*b = 4*b - 956. Let a(z) = 956 - b - 2*z. Determine q(a(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4361.6451 rounded to the nearest integer?\nAnswer: -4362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3, -3\/8, -3, 0.3 in increasing order.\nAnswer: -3, -0.5, -3\/8, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 347643663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 3:09 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by 12?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*o + 7 + 1, x - 2*o = -4. Suppose m + 4*m = x*r - 169, -2*m = -5*r + 207. What is the remainder when r is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 2*b**2 - 3*b**2)*(-b**2 + b**2 - b**2 + (-2*b**2 - 3*b**2 + 3*b**2)*(3 - 6 - 4)).\nAnswer: -13*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w. Let s(c) = -6*c**2 - 10*c. What is s(f(k))?\nAnswer: -54*k**2 + 30*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-242 - 171 - 96)*(0*r**2 + 3*r**2 - 2*r**2).\nAnswer: -509*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -3 (c) 0.0486 (d) -1\/4 (e) -0.2 (f) 50 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -150?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 19 = 2*f, 538 = -3*f - 6*x + 484 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - 2*w - 3*w)*(-3 + 0*w**2 + w**2 + w**2)*(-2047 + 587 - 2015) in the form c*w + b*w**2 + f*w**3 + n and give c.\nAnswer: -10425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2907\/7 - -415. Which is smaller: y or 311?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -23. Suppose 10 = -2*n - 5*s, y = 2*n + 2*s - 3*s + 10. Let x be (-2)\/5*n\/3. Which is smaller: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12e37 + ea?\nAnswer: -12d3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208652, -208652, -208650, -208646, -208640, -208632, -208622?\nAnswer: -208610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22283 + 1c?\nAnswer: -22264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 312?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/4, 1\/386, -3?\nAnswer: 1\/386","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -162, 0.3, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 162*p + 245*p - 30118. What is the highest common divisor of 814 and p?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-137953\nAnswer: -96567.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 965528854 to the power of 1\/2, to the nearest integer?\nAnswer: 31073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3761578 is divided by 1880725?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 = -0*t, 2*i - 5*t = 56. Let l be (1 - 4)*i\/(-54). Let b be 24\/(2 + l + -1). Solve -2 = 2*k + 4*m - m, b = -3*m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-184*b - 350*b + 9*b - 181*b - 583*b - 262*b)*(162 - 162 - 13*b) in the form r + f*b + l*b**2 and give l.\nAnswer: 20163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 + f**4 + f**4)*(9 + 14 - 8) + 2*f**2 - 2*f**4 - 2*f**2 + f**4 + 0*f**4 - 3*f**4.\nAnswer: 26*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -25. Let v(k) = 6*k**3 + 3*k**2 - 4*k - 4. Let s(c) = -11*c**3 - 7*c**2 + 7*c + 7. Give r*s(x) - 7*v(x).\nAnswer: 2*x**3 + 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 57943*d - 57942.\nAnswer: -(d + 1)*(d + 57942)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 351*i - 351*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 0.2, -4, 5.7 in ascending order.\nAnswer: -4, 0.02, 0.2, 5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 23*i**2. Let c(a) = -2*a + 35. Give c(w(m)).\nAnswer: -46*m**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036119292 to five dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 106*i**2 + 250*i + 2784. Calculate r(-104).\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 10 = 2*b, -4*d - 340*b + 2 = -335*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 17 = -5*i, -2*i + 5 = 15 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.951994155 to 4 dps.\nAnswer: -0.952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1221102 (base 3) to base 12\nAnswer: 99b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 11:48 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 11:52 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 204. Let d(r) = -13003*r. What is a(d(c))?\nAnswer: 52012*c - 204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*c - 15498 = 604*c - 123*c - 147*c for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -405, -790, -1165, -1524, -1861?\n\"Answer: n**3 - n**2 - 389*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 11:07 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z\/((z\/((z**(-5\/2)\/z)\/z))\/z)*z))\/z)\/(((z**(-1\/16)*z)\/z)\/z)*(z*z\/(z*z*z**(-3\/5)*z))\/z**(-5\/3))**(-20) assuming z is positive.\nAnswer: z**(-919\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (78\/5)\/(12\/(-160)). Suppose -2*n + p - 255 = 0, 0 = -n - 0*n + p - 126. Let a = n - r. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/7 + 290*w\/7 + 395000\/7 = 0. Calculate w.\nAnswer: -500, 790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/2))**(-38)\/(t**(1\/7)\/(((t*t*t**(-1))\/t)\/t)) assuming t is positive.\nAnswer: t**(-141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24\/(-84) - (-61645)\/35?\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105893\/124656 - 45\/53. Let l = q + -68219\/25872. What is the common denominator of l and -93\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p - 4*p**2 + 10*p**2)*(14*p - 14*p - 2*p**2)*(-2*p + p + 3*p + (-3*p + 2*p + 2*p)*(0 - 1 + 3) - 7*p - 6*p + 0*p).\nAnswer: 108*p**5 - 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-8))\/(22\/(-88)) - -2. Is -594 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + -2 + sqrt(125) + sqrt(55)\/(sqrt(44)\/sqrt(4)).\nAnswer: -2 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * -9693344.\nAnswer: -184173536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 15, 5*d + 3*c - 41 = -35. Suppose 0 = -5*f + y + 31, 3*f - 6*y = -4*y + 20. Suppose -h = -q + 4, -3*q + 19 - 3 = -4*h. Solve q = t + f - d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 2 (c) 0.28 (d) -6 (e) 5 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -136\/5169 or -1?\nAnswer: -136\/5169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27\/(-6))\/(2\/(-12)). Let b = m + -15. Let i = -138 - -270. What is the greatest common divisor of i and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176733 is divided by 35295?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 14*h**2 - 3*h + 10. Let g be m(7). Let t be (g\/(-672) - -1)*-118. Let b = -13\/16 + t. Which is bigger: 0.2 or b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (7 - 5))\/(12 + (0 - 10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 6:48 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 624 = 15*n + q, 0 = 2*q. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -18*v - 177. Let r be z(-10). Suppose -r*c = -32*c + 11513000. Round c to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 31, -92, 4 in decreasing order.\nAnswer: 31, 4, -3, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4\/13 + 84*i**3\/13 + 794*i**2\/13 - 1848*i\/13 + 968\/13 = 0?\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 43403675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5640 - 5696 + 11336 - 4*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*u - 20 = 0, 4*u - 1 = -3*i - 0*i. Let f be -3 + 61 + -1 + i. What is the units digit of 9 + f - (2 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - 5*p + 3*p + (5 - 4 - 2)*(2*p + 3 - 3) + 6*p + 1 - 1.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 9:39 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*v**2 - 5*v**2 + 3*v**2)*(0*v**3 + 2*v**3 + v**3).\nAnswer: -57*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 - 13*y**2 + 18 + 23 in the form v*y + h*y**2 + r and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.21.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h*h**(-2\/23)))*h\/((h\/(h*(h**(-1\/3)*h*h)\/h)*h*h*h)\/h))**17 assuming h is positive.\nAnswer: h**(1853\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 210*y - 955 + 10266 + 16519 for y.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7 + 0.9. Let w = 0.3 + y. Let v = -1613 + 1611. Which is smaller: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(192) - sqrt(192)*-1*1) + (0 + 1*sqrt(192))*-1)**2.\nAnswer: 64*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 - -29) + -25 - (-1 + 1)) + 2 + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**2 - q - 19. Let k be p(11). Suppose k = -9*c - 10121. Is (3 - (-124)\/(-44)) + c\/(-11) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1395*v**2 - 1203*v**2 + 46*v - 1429*v**2 + 1 - 1195*v**2 + 4940*v**2.\nAnswer: -282*v**2 + 46*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -35461062?\nAnswer: -35461062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 + 11*g**2 - 11*g - 5. Let d be j(3). Let h(x) = -x + 11. Let f(k) = -5. Calculate d*f(w) + 3*h(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67625080 divided by 4.\nAnswer: 16906270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 7*s - 130. Let f = s - 31. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/4 + -11\/12. Let f = -6\/7 + 5\/14. Which is greater: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, -847.4, 33?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/10)\/((-1)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + (-15 - 952\/(-64)) + (-73)\/(-8). Solve -5*c + 21 = -2*a, -c - z = -6*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5836824 by -126.\nAnswer: -46324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -68941\nAnswer: 68938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20a41b (base 15) to base 6.\nAnswer: 53143442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 7) to base 2.\nAnswer: -1001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 177 = 48*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/3 - 3)*(-3)\/1. Suppose 3 - 73 = -r*c. Calculate the smallest common multiple of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**3 - 2*x**2 + 15*x + 27. Let a be f(-2). Let c be 6 + a + (-2 - -2). Solve -c*g = -38*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6)*(-8 - 1). Suppose -225 + 21 = 17*h. Let v be h\/(-5) - y\/15. Solve -v*p = 2*r, -2*r - 3*r + 2*p = 28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + -0.05195. Round n to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (0 - 1) + 0. Let l = 3 - a. Which is smaller: l or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 52*w**2 - 50*w**2 - w + 2*w**3)*(7*w + 49 - 49)*(-2*w + w - w).\nAnswer: -28*w**5 - 28*w**4 + 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -28*d**2 - 50*d + 20. Determine t(-3).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41471740 is divided by 286?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 4. Let w = 24 + -27. What is b(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10 + (7 - 0) + 13. Solve 13*n = -t - 55 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4e24 - b0?\nAnswer: -4ed4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 0)*1\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/2)\/((-107)\/214)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, b: 7, a: 3, w: 1}. Give prob of picking 1 a and 1 w.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3\/9 - 40160*h**2\/9 - 11231348*h - 156365496 = 0. Calculate h.\nAnswer: -5013, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**5\/120 - l**4\/8 + 3*l**3\/4 - l**2 + 6*l. Let p(w) be the first derivative of b(w). Factor p(n).\nAnswer: (n - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72509877 by 6591807.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -1.27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*z, 5 + 3 = 4*u - 2*z. Let j(h) = h**3 - 2*h**2 - h - 3. Let l be j(u). Let a be -1 + 0 + l + -5. Let m(i) = 2*i**2 + 4*i - 1. What is m(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Let c(l) = 5*l + 1. Let b be c(-1). Let y = b + 2. Let n(u) = -1. Give y*p(x) + n(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -5, 446?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 128\/13 + ((-308)\/(-182))\/11. Solve -o = 5*t + 3*r, -3*r + 4*r + 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 = 6. Suppose -5*s - a + 113 = 0. Calculate the smallest common multiple of 24\/s*(5 - 0) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventy-four fifths of a tonne?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62709, -4, -3.\nAnswer: -62709, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -21284 - -20858\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1216 and 4998976?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 4735*c - 4737*c + 147, -2*n + 2*c = 142 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -112\/45 - -17\/9. Let a = 2292 + -1190. Let g = a + -1107. Sort g, -17, -3, f in decreasing order.\nAnswer: f, -3, g, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1431164.\nAnswer: 2, 7, 79, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 4, 3\/2 in decreasing order.\nAnswer: 4, 3\/2, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02998592221 to four dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -3. Suppose 4*v + v = c. What is the remainder when v is divided by 9\/(-18) + 6\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/43616 and 59\/6880424.\nAnswer: 27521696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4030, 5, 3, 2 in increasing order.\nAnswer: 2, 3, 5, 4030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**3 + 13*h**2 - 10*h - 8. Let s be -1*(-1 - 1) - (-255)\/85. Let f be l(s). Calculate the greatest common factor of f and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*o + 2628 = -42*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -29*r**2 + 4*r - 9. Let z(w) = 3*w**2 - 15*w**2 + 13*w**2 + 6*w**2 + 2 - w + 0*w**2. Determine 2*c(x) + 9*z(x).\nAnswer: 5*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008561610494 to seven dps.\nAnswer: -0.0008562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(2*sqrt(204) + sqrt(204) + sqrt(204)) - (sqrt(204)*1 - sqrt(204))*3)\/((1*sqrt(108))\/sqrt(9) - (sqrt(300) + sqrt(300)*1)) + -4)*-5.\nAnswer: 20 + 40*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 377178 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 66*t**5 + 135032*t**4 - 413742*t**3 + 319612*t**2 - 65568*t = 0.\nAnswer: -2049, 0, 1\/3, 8\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462522249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9945)\/(-6) - (-2)\/4. Let m be (-3)\/18 - j\/(-12). Let g = 221 - m. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -570 + -561695\nAnswer: -562265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = -5*h, -5*o - 4*h + 5*h = -67. Calculate the remainder when 25 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18380, -36759, -55138, -73517?\n\"Answer: -18379*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 8:25 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.004, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/3 + 268712*u\/3 + 4512883684\/3.\nAnswer: 4*(u + 33589)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1060 + 3?\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/95 (b) -2 (c) -14 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**2 + 8*p - 7. Let n be d(-8). Suppose 247*j - n*j + 2 = 0. Solve 0 = -u - 3*w - 2, -5*u - 5*w - j = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 9*j**2 - 2*j + 7. Give o(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 75475 = -3*n, -9*n - 30190 = -2*a - 8*n. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b**2 + 27*b + 28. Give o(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -73.13 and -0.063.\nAnswer: 4.60719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.13681 (b) 0 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5623.\nAnswer: 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 15*x + 15. Let b be i(-14). Let o be (-1)\/(b\/12*-3). Suppose o*y = y. Solve 0 = -y*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 75127998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - (4 - 19) - 13) + 43?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 4, -2*a + 28 = 4*r - 6*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 225\/33 + -3 + -4. Let l(c) = -c - 7. Let n be l(-10). Put -3, n, -2\/3, u in ascending order.\nAnswer: -3, -2\/3, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -1 - -6*4\/8. Are 7\/2 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 5*h + 7. Suppose -7*j + 4 = -10. Suppose 0 = j*n - n + 6. Is m(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -58. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 33282*f**2\/7 + 19608*f + 20216 = 0.\nAnswer: -266\/129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22217 + 622 + 18020 + 7446)*(0*z**2 + 2*z**4 + 0*z**2).\nAnswer: 96610*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 5 = 7*d. Which is smaller: 7\/6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -83, 2, -1\/85, -21, -4?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-3 + (2 - 0)). Suppose 2*j - 5*j + 12 = 0. Suppose s = m - 4 - j. Solve 25 = -m*r + 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 449*x - 869. Give b(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 543119 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12*c + 10*c - 77527 = 0, 4*c = -x + 25833. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -112 and -55.\nAnswer: 6160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4674.124 rounded to the nearest 10?\nAnswer: 4670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 3. Let b(t) = 3*t**2 + t - 6. Give -2*b(d) + 5*m(d).\nAnswer: 4*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1447247*j + 108810685 with respect to j.\nAnswer: -1447247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -10*r - 3*y - 12, -5*r + 28 = 3*y. Solve -15 - 10 = -r*l + s, -3*l + 27 = -3*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17969553 or -1\/3?\nAnswer: -17969553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-700)*(10\/(-3))\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-303)\/3*8\/(-8) + 0 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1055317 is divided by 147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1216)*-1*6)**2*-5 + ((2*sqrt(1216))**2 + sqrt(1216) + -4 + 1)*-1.\nAnswer: -1099261 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -4*o - o. Let a = o - 55. Solve a + 3 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30781850 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i. Let a = -19\/543 - -2753\/1086. Let r(m) be the second derivative of -7\/6*m**3 + 0 + a*m**2 - 9*m. Calculate r(d(x)).\nAnswer: -14*x + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 541899 by -60211.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, -31484, 0 in descending order.\nAnswer: 10, 5, 0, -31484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79686 is divided by 79665?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55 - -123?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 12:09 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2 - 32. Solve -4*b - w = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + (68 - 65)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6919 = 2*l - 1739. Is 39 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q**2 + 226654*q + 46*q**2 - 226658*q + 6 to c*q + u + l*q**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -6 + 664 - (4 + -3). Calculate the highest common divisor of z and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**4\/8 - 229*h**3\/3 - 1381*h**2\/4 - 461*h - 925. Factor d(q).\nAnswer: (q - 461)*(q + 1)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 195*c + 23984. Determine u(282).\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 6*v**2 + 5*v - 12. Let z be g(-3). Let q(y) = 23*y + 138. What is the hundreds digit of q(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 8*t + 16.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 7*i**2 + 4. Let m be s(7). Let h be ((-2)\/m*-2)\/(-1 + 2). What is the lowest common multiple of 2 and (-3)\/(-6) + (-82)\/(-4) + h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -1\/2*o**2 + 11 - 1\/20*o**5 + 8*o + 1\/6*o**4 + 2\/3*o**3. Let m(f) be the first derivative of n(f). Give m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + ((sqrt(34)*-2)\/sqrt(2))**2*-3.\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.90344163 to three decimal places.\nAnswer: -2.903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 6:17 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/4497226?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 14*b**2 + 6*b**2 + 4*b**2. Let k(o) = -o - 9. Let y(d) be the first derivative of -2*d + 46. Let v(m) = -2*k(m) + 9*y(m). What is v(g(z))?\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d + d**2)*(4*d + d - 4*d) - 13*d**3 + 6*d**3 + 12*d**3 + 0*d**2 + d**3 + 0*d**2 + (-2*d**3 + 0*d**3 + 4*d**3)*(2 - 2 + 1).\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-114)\/(-18))\/((-8)\/60).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75.3 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/(-1170) + 266\/(-396).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1315796 and -5\/2631592?\nAnswer: 2631592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/44 and 21\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/15 + 239288*y\/15 + 4548638\/5.\nAnswer: -2*(y - 119701)*(y + 57)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**4\/4 - 8*x**3\/3 + x**2 - 10*x - 1. Suppose -46*d + 4613 - 39205 = 0. Let i = -744 - d. Determine y(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 46*d + 258 = -5*z, -5*z + 9*z - 4*d = 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (23 - (39 - 21))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = 32*i - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 13*c**2 + 15*c**2 + 6*c**3 - 8*c**3 + 2*c**4 - 14 in the form t*c + z + p*c**2 + j*c**4 + a*c**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 6.873 and 1369 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, f: 2, h: 1, p: 1, k: 7, l: 1}. What is prob of picking 1 z, 1 p, and 1 h?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27752771353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98710 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n = -4*v + 248, -2*v + 128 = -3*n. What is the remainder when v is divided by 12 - (-4 + 3)*(0 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 213 - 147. Let q(w) = -j*w + 60*w - 2 - 19. Let n(o) = 3*o + 10. Let u(r) = 7*n(r) + 4*q(r). What is the first derivative of u(y) wrt y?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1728850 by -5.\nAnswer: -345770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -90.9263666463?\nAnswer: 91.1263666463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1790)\/(-4675) - (-3 + (-31)\/(-11)). Let x = 781\/2380 + p. Let j = 3\/4 - x. Is -1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4 = 9. Suppose -2*f = -13 - q. Is 10*(f\/2 + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (108\/(-10))\/(2\/(-25)). Let a = 6 + k. What is the remainder when a is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/126)\/((-2)\/4)*120.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-4 - 10) + 0 + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13912 * 0.01\nAnswer: 139.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231022000133 - -13?\nAnswer: -231022000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 6*r + 4. Let n be (-12)\/9 - 2\/3. Calculate the lowest common multiple of -7*((3 - 2) + n) and u(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0 = 8. Let i be (-2)\/(-4) - g\/(-8). Let y(h) = -h**2 - 2*h + 27. What are the prime factors of y(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) + 5\/((-90)\/(-114)). Solve 3*s = l*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 10, 18?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 5:46 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 131 - 131.202. Let l = -339.798 + s. Let k = -340.00000311 - l. Round k to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 220 = 13*g, -250*g + 5*q = -248*g + 17 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 + 8*g + 13. Let a be 6\/2*((-8)\/3 - -1). Let u(c) = -6*c**2 + 8*c + 13. Let s(x) = a*d(x) + 4*u(x). Calculate s(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2101 + -1601?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*k = 5380, 5*l - k + 0*k = 6713. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 263 in 1\/90, 2\/9, -2\/15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(1\/(-2) + (-1212)\/(-2472))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 3. Let p = 0 + -6. Let o be j(p). Let z = -11 - -7. Sort z, o, 5.\nAnswer: z, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -145. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 37*g**2 - 93*g - 190. Let i be y(34). Calculate the greatest common factor of i and 3103.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**3 + 7*r**2 + 6*r. Suppose -49 = 3*y - 58. Let k(t) = 2*t**3 + 4*t**2 + 3*t. Give y*n(m) - 5*k(m).\nAnswer: 2*m**3 + m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 31.3. Let f = -782 + 780. Let s = 3\/4 - 1\/2. Which is the fourth smallest value? (a) p (b) 5\/3 (c) s (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -3*b + 4*d, 2*b + 2 - 12 = -5*d. Let f = 7 - 11. What is the smallest value in f, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = d + 3*d. Let f(s) = -14*s - 827 + 414 + 412. Calculate f(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 856 and 137713708.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j - 3*a + 117 = 0, 119 = -511*j + 514*j + 5*a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1437231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = -2*m - 2210. Let j = -131 - 123. Let r = m - j. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*a - 305, -4*b + 245 = 3*a - 0*b. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 - 13*m**4 - 39*m + 71*m - 32*m wrt m.\nAnswer: -52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k - 6. What is v(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 1.6 (c) -7 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q - 3. Let r(t) = -t - 1. Let a be 42\/(-8) - (-6)\/24. What is a*r(v) + p(v)?\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.7224158 to one dp.\nAnswer: 45.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from {s: 2, h: 7, t: 4}.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in 0, 39, -1.63?\nAnswer: -1.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 - 82 - (0 - 30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -42*l**3 - l**2 - 3*l - 2. What is z(-1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -899432.98 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -34. Suppose t - s*n = 2*t + 2, -5*n - 8 = t. Solve 5*x = t*l + 2*x + 3, -4*l = 3*x + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12874 (base 12) in base 13?\nAnswer: b764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)*h)**(-2\/5)\/(h**(-1\/7))**(-2) assuming h is positive.\nAnswer: h**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18113 + 1086607\/60. What is the common denominator of h and 43\/336?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/3 + -3 + 3. Let c(j) = -5*j**2 + 4 + 3*j + 5*j - n*j + 0*j**3 - j**3. Let r be c(-6). Round r to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**5\/20 + 3*f**4\/4 + f**3 - 6*f**2 - 4*f. What are the prime factors of n(-7)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from ryyyerryrr.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1101295\/29 greater than -37975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1250*q + 4*m + 180742 = 1253*q, 5*q - 5*m - 301245 = 0. What are the prime factors of q?\nAnswer: 2, 47, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126*j - 2 - 49*j - 94*j**4 + 5 - 64*j wrt j.\nAnswer: -1128*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-255))\/(2\/(-5))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145*c**3 + 35 wrt c.\nAnswer: 435*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**2 + 4632*t = 0.\nAnswer: -1544, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11261160?\nAnswer: 2, 3, 5, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -6458318 < -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 - 28 - 12 + 3016*u**2 + 66 as y*u**2 + l + c*u and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -3)\/2 - (1\/(-7) + 3320\/700)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 + -0.3. Let p = t + 1. Let q = 50 + -551\/11. Which is the closest to 2? (a) p (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 2*a - 206. Let u(k) = -k**2 - 70. Let v(s) = -3*u(s) + y(s). Calculate v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 11 + -11 + -9 + 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/14 - (0 - 2988\/(-280)) and -79\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6787, 6788, 6789, 6790, 6791, 6792?\n\"Answer: f + 6786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 6*t + 6*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*p**2 - 4 + 11*p + 26*p - 37*p to the form k + d*p**2 + r*p and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 4*u + 12. What is i(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*l + 27 = 1, 4*n = 5*l + 67. Suppose 2*v + u = 56, 5*v - 5*u - 147 = n. What is the remainder when 76 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 1500854686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3)**50)**(6\/13) assuming i is positive.\nAnswer: i**(900\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -11202122202?\nAnswer: 11202122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -2510.\nAnswer: -3\/2510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/737 - 140048\/2211. Let z = 64 + s. Let k be 4\/14 + (-5)\/140. Which is the nearest to 1? (a) 4 (b) z (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**3 - g**2 + g - 1. Let j be k(1). Let b = j - -11. Suppose r + 2*r = b. Sort 5, -2, r.\nAnswer: -2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 164 + -134. Suppose -2*i + 27 + d = -5*k, 58 = 3*i - 2*k. Calculate the greatest common divisor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79578853579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 158718779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1347268 and 1508?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1123854830?\nAnswer: 2, 5, 7, 16055069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*p + 2, 2 + 6 = 5*p + 4*q. Suppose v = -p*v + 7. Suppose 2*z - 11 = v. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**5\/15 - 62*r**2. Let i(a) = -354*a**2. What is i(u(k))?\nAnswer: -5664*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(72) + sqrt(8) + 5) + (sqrt(242) - 6*sqrt(242)) + (5*sqrt(2)*4)**2.\nAnswer: -23*sqrt(2) + 820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -239*l*r**2 - 12*l + 4 wrt r.\nAnswer: -478*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2090\/29 - 8099\/116. Is g at least as big as 69\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 8 - 5 + 13 + 1842687*k**2 - 1842681*k**2 + 0*k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -12212?\nAnswer: 12120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2066446 is divided by 66?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.9 and -1.55562921735?\nAnswer: 3.45562921735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/27)\/n**11 assuming n is positive.\nAnswer: n**(-295\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3)\/i**(2\/17))\/((i*i*i\/i**1)\/i*i**(-2\/3)))\/(i*i*i**(-1\/3)*i\/(i\/(i*i**5*i)))**(-38) assuming i is positive.\nAnswer: i**(16790\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3285 = -5*n, -4*t - 1 = -5. List the prime factors of n.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 906 = -2*n + 5*z, 3*n - 2*z - 2769 = 0. Let u be 4*(-3)\/(-12)*n. Suppose 7*d = 1858 + u. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 35 = 5*w, -3*b - w = -2*w + 13. Put 20, 2\/5, b in increasing order.\nAnswer: b, 2\/5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89.032 + 0.032. Let j = r + 88.922. What is j rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 673? (a) -8 (b) 5 (c) -3 (d) -3\/2 (e) -18.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 1, -2, -140?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 146 = -94. Suppose -9*z + 129 = l. Suppose 2*u - u - 40 = 0. Calculate the remainder when u is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 499619*r - 166536*r - 166541*r - 166530*r.\nAnswer: 12*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 1. Let v(c) = -c**2 - 6*c + 2. Suppose 5*z + g = -7 - 22, -28 = 5*z + 2*g. Let l be v(z). Solve -l*i = -3*i - j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 7*m - 12*m. Factor -4*h**5 - 4*h + 16*h**4 - 2*h**3 + 16*h**2 - 2*h**m - 20*h**3.\nAnswer: -4*h*(h - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -3, 248, -1284?\nAnswer: -1284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*s**2*y**2 - 9*s**2*y - 2*s**2 - 53*s*y - 40*y**4 + 7*y**3 + 8*y + 5 wrt y.\nAnswer: 26*s**2 - 480*y**2 + 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 5*z + 13. Let y be h(-9). Let f = y - 29. What is the highest common divisor of f and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*(sqrt(152) - -2*sqrt(152)) - (sqrt(152) - 4*(sqrt(152) + sqrt(152)*1 + sqrt(152) + sqrt(152)))))\/(-4*2*sqrt(200)*2).\nAnswer: 27*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2 - 4*n - 2. Let u(m) be the first derivative of -5*m**3\/3 - 3*m**2 - 3*m + 37. Let t(o) = 3*i(o) - 2*u(o). Let r(v) = -72*v. What is t(r(h))?\nAnswer: -10368*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7*t**2 - 2*t - 185 + t**3 + 94 - 4*t + 87 - t**2. Determine b(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwo when four letters picked without replacement from {w: 4, o: 11, u: 3}.\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -77, -1, 2, -46443 in descending order.\nAnswer: 2, 2\/5, -1, -77, -46443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 334829471978 minus 0.91?\nAnswer: 334829471977.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179677203.\nAnswer: 3, 1747, 34283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*h - 63 = -79*h - 35*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(3 + (-15)\/((-30)\/(-4))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-39)\/12376)\/(-1)*92\/6 and -99\/224?\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12404 and 660319852.\nAnswer: 1772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 23*v**2 - 40*v - 40. Let x be c(21). Solve -a + 12 = -4*a + n, -2*a - x*n = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 4*x**2 + 2*x. Let n be o(3). Let c be -1 + (0 - 0)\/n. Does 16 divide c + 1 - -17 - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2959333 to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 69*y**2 + 18974*y - 292. Give s(-275).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/12)\/(2\/8). Suppose -715 = -231*s + 209. Let x = -0.7 - -1.2. Sort s, 3\/5, x, n in increasing order.\nAnswer: x, 3\/5, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -30. Which is the second biggest value? (a) -5 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + p**3 - 5*p + 6*p**2 + 4 + 1. Let v be w(-5). Suppose v*a = -5*l + 160, 3*l + 4*a - 3*a = 102. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 485 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4179 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 708, 1421, 2146, 2889, 3656, 4453, 5286, 6161?\n\"Answer: x**3 + 706*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbgbbbtggbg. Give prob of picking 1 g and 3 b.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/106 in -2\/25, -0.1, 3, 0.3, 0.2?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:22 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - p - 23 = 4*p, 5*o = -2*p + 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -952, -5\/8.\nAnswer: -952, -5\/8, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 s when four letters picked without replacement from uusuuuuuussu.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 5*f + 1\/42*f**4 + 1\/7*f**2 + 0 + 2\/21*f**3. Factor a(l).\nAnswer: 2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-1)\/((-165)\/6)). Let g be 22\/q + 6\/10. Let s(w) = w - 2. Let v be s(1). Which is the third smallest value? (a) -0.01 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 480, 113251, -4 in descending order.\nAnswer: 113251, 480, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 266270281 divided by 6\nAnswer: 266270281\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 115. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6713 - -1.3287. What is the second smallest value in -5, 9, -0.14, x?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 5. Suppose -8 = -5*n - 3*l + 1, 0 = -3*n - 3*l + i. Factor 0 + 8\/7*j - 6\/7*j**2 - 2\/7*j**n.\nAnswer: -2*j*(j - 1)*(j + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 7*r**2 + 7*r + 5. Let g be 8\/36 - 94\/18. What is the remainder when q(g) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5270 and 28?\nAnswer: 73780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (49\/(147\/270))\/((-1)\/(-2)) and 540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19\/(-3) - (-7 + 11 - 9). What is the nearest to 0.3 in a, -0.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -272, -411, -548, -683, -816, -947?\nAnswer: -1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*i + 48715. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504720042?\nAnswer: 2, 3, 293, 287099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3049784 is divided by 779?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = -12*c + 1480. Is 108 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 6:32 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147304812 is divided by 1571?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*o - 329*o + 24803 - 27645 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, d: 2}. Give prob of sequence hhh.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 39.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 - 1424*f**2\/5 + 30821*f\/5 + 32246\/5.\nAnswer: (f - 1402)*(f - 23)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 + 644*j\/5 - 1488.\nAnswer: -2*(j - 310)*(j - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1277526 = -4201526. Round b to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r + 21*r - 13*r - 3*r + 3*r + r + r + 0*r + r + (0 + 0 + 1)*(-3*r + 3*r + 2*r) + r - 1 + 1 - 3*r - r - 4*r to t*r + p and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 834 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -18980*h. Let a(g) = -g + 943. What is a(o(w))?\nAnswer: 18980*w + 943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*q + 81370, -y - 4*q - 40661 = -2*y. List the prime factors of y.\nAnswer: 3, 7, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10480 times 0.1?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*l**2 + 188638*l + 7860.\nAnswer: -2*(l - 3930)*(24*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1174 (base 8) to base 13.\nAnswer: -39c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - g**2 - g - 1. Let y = -3 - -23. Let j be 4\/y + 9\/60*12. Let h(m) = -2*m**2 - 2*m + 1. Give j*i(p) - h(p).\nAnswer: -2*p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (6 - 14)) + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -97. Let k = 89 - m. Suppose b - 16 = -3*g, 1 = -5*g - 2*b + k. Calculate the remainder when g is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z. Let l(w) = 3*w - 1. Let s be l(2). Suppose 0 = 2*v - 4*p - 18, 0 = -2*v - s*p - 11 + 2. Let t(x) = -11 - 22*x**2 + 14 - v. What is y(t(a))?\nAnswer: 44*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 7:13 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*g + 4*g = 5851, 3*g = x - 1943. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1495835829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-550)\/33 - -5\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2507 and 138?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 1)*(-66 - 59 + 113)*(0 + s + 0).\nAnswer: 60*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 7. Let f(u) = -u - 1. Let v be 4 - 2 - (6 + -1). Let t be f(v). Solve -5*m = c + t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 23066 and 784259\/34 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 8*n - 4. Let p be c(-9). Put -4, p, 3, -3 in descending order.\nAnswer: p, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44052274526 + 204?\nAnswer: -44052274322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9877\/6 + -1646. Let a(c) be the third derivative of t*c**3 + 0 + 0*c - 1\/12*c**4 + 9*c**2. Determine a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.99 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111 + -1100111?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-1))\/((-8)\/(-24)). Suppose 2*z + 5*b - 10 = z, -2*z + 3*b + 7 = 0. Suppose 1 = 3*w - z. What is the greatest common divisor of w and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 = 3*r - 2*r, -2*c + r + 11 = 0. Suppose -c*t + t = -159. Let m = -35 + t. What is the lowest common multiple of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4203 + 4203.00005682. What is j rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*j + 24*j + 66. Let r(n) be the first derivative of -9*n**4 + 1 - 8*n - 80\/3*n**j - 26*n**2. What is m in r(m) = 0?\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + ((sqrt(252) - (sqrt(252) - (sqrt(252) - (sqrt(252) - (-4 + sqrt(252)))))) + -5 + sqrt(252))*4)**2.\nAnswer: -3456*sqrt(7) + 17424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12491, 10751, 7857, 3809, -1393, -7749, -15259?\nAnswer: -23923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 12. Suppose 2*w - 27 = 3. Suppose g = 2*c + 3*r + 7 + 8, 0 = 3*c + 3*r + w. Let v(m) = -m**2 + 4. Give v(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -840 + 840.04. Suppose 2*t + v = -2*t, 4*t + 5*v = 0. What is the closest to -2\/7 in m, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 19. Factor 4\/5 + 2\/5*c**3 - 6\/5*c + d*c**2.\nAnswer: 2*(c - 1)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z - 54 + 28 + 26 - z**2 in the form y + j*z + v*z**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 divided by 188?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiixixx. Give prob of sequence xix.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1133*w**2 + 652*w**2 - 114*w**2 - 165*w**2.\nAnswer: 1506*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2836 - 860 = 83*h + 379*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*g + 1, -2*l = -4*l - 3*g + 15. Suppose w - l - 14 = -s, -12 = 3*w. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**4\/7 + 162*z**3\/7 - 2112*z**2\/7 + 5472*z\/7 + 20736\/7 = 0?\nAnswer: -2, 8, 12, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 6*m**2 - 3*m + 10. Let c be (-3)\/(-9) - 8\/(-3). Let r = c + 4. What is the tens digit of b(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 18. Let j = -20.85 - -0.15. Let s = j + m. Round s to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q + 6081 - 5795 = 0 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b + 7. Calculate the smallest common multiple of (8\/(-5))\/(4\/(-10)) and h(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/15336 and -31\/81216.\nAnswer: 5766336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50657302 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-28)\/(-4))\/35)\/((-3 - 4)\/21)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -451\/35 - -63\/5. Let c = -15\/13 - -23\/65. What is the third smallest value in c, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + -3 + 104\/24.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265200.11 plus -3.5?\nAnswer: -265203.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.73302 and -149.\nAnswer: -153.73302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 63*l**3 - 2 - 62*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/76)\/(33\/(-36)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2)**(18\/13)\/(r**5*r*r\/(r**(-6)*r*r)) assuming r is positive.\nAnswer: r**(-107\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**2 + 530*c - 1635 = 0. What is c?\nAnswer: -109, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 126 - 117 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 8:00 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 21*q - 16. What is the remainder when o(7) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2186219 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161684391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 - 84. Let j(x) = -x**2 + 25*x - 74. Let d be j(19). Calculate the highest common factor of d and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9065.337 weeks in microseconds?\nAnswer: 5482715817600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -1. What is the remainder when 15 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 9619374*l**2 - 27*l**3 - 9619374*l**2 + 5*l to the form a*l**3 + k*l + n + b*l**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 446000929, 446000931, 446000933, 446000935, 446000937?\n\"Answer: 2*y + 446000927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5953 + -1408. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (24 - (18 + -6)) - 43?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -11*v + 24. Let p be (0 - 3)\/(-9) + (-49)\/v. Let i = 34 - p. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q + 34*q**2 - 2*q - 15*q**2 - 3*q.\nAnswer: 19*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*b. Which is smaller: -9\/38 or b?\nAnswer: -9\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -52. Sort 57, x, 1 in descending order.\nAnswer: 57, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**30)**24\/(a**(1\/29)*a\/a**(-27\/2)) assuming a is positive.\nAnswer: a**(40917\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306*h**2 + 78*h**2 + 76*h**2 + 75*h**2 + 76*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 439587199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n. Let j be 228\/44 + 2\/(-11). Let v(t) = -t - 5*t + 0*t + j*t. What is b(v(h))?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -147, -149, -151, -153, -155?\n\"Answer: -2*f - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 + 2*h - 4*h + 0*h + 3*h + 11. Let y be q(0). Suppose -10*d = -y*d + 219. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4 - 0. Solve -o = -k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -5\/2, -5, 507.16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 10*b**2 - 11*b - 37. Let r be (-27)\/3 - (322\/115 - 4\/5). What is p(r)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 3572.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -9796?\nAnswer: 9\/9796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010550625 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/6593925 and 17\/3?\nAnswer: 6593925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*t + 540, 0 = -3*c - 2*c - 2*t - 540. Let o = -85 - c. Calculate the remainder when 33 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -16*f - 2. Let w be c(-2). Let r be ((-9)\/5)\/((-9)\/w). Let g be 1\/2 - r\/15. Sort -2, 5, g in descending order.\nAnswer: 5, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114029923*m*x**3 + 3374*m*x**2 + 48*m*x - 2*m - 2*x**2 - 5*x wrt x?\nAnswer: 684179538*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-7))\/((-9)\/(-21)*3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 0 - (48 + -32)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 0.0185 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -8. Suppose 5*o - 2*b + 55 = 2*b, 11 = -o + 2*b. Let f = x - o. Solve 0 = -7*a + 3*a + 5*j - 17, f*a + 4 = -2*j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5790d (base 14) to base 7.\nAnswer: 1545116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 272*d - 4. Suppose 4*r + 2*h - 24 = 0, 32*r - 3*h - 6 = 31*r. What is the smallest common multiple of v(1) and r?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/2 - (14763\/(-462) + 23)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4373 + 13246?\nAnswer: 17630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 119\/6? (a) 2\/7 (b) 1.6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2 - 1667*p + 2228 = 0. What is p?\nAnswer: -557, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 517523749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-29)\/(-609) - (57\/(-18))\/(42\/876)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85152954?\nAnswer: 2, 3, 107, 132637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 f, and 1 g when three letters picked without replacement from {g: 3, f: 3, b: 3, u: 1, w: 1}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 26191 - 5*q + 7*q - 26290. Calculate m(33).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - h**2 - 4*h - 4. Determine m(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -22.3. What is the smallest value in -3, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 6, d: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423*p + 427*p - 868 = 0. What is the remainder when p is divided by 82?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(3))*-6 + -1 + (sqrt(18) + (sqrt(18) - (sqrt(108)*-2 - sqrt(108))\/sqrt(6)))\/sqrt(6) + -5)*5.\nAnswer: -60 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39047 divided by -4.\nAnswer: 39047\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -646290 divided by 90?\nAnswer: -7181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267, -265, -263, -261?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-220)\/(-32)))\/(287\/205)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1222, -4886, -8550, -12214, -15878?\n\"Answer: -3664*b + 2442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.22 - -2.1. Let w = x - 0.58. Let i = -4.7 - -5. Is i bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 57945, 233409, 525849, 935265, 1461657, 2105025?\n\"Answer: 58488*h**2 - 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*b - 38 - 22 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 356243934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 975502771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 17 - (0 + 6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 16 = 96. Which is bigger: c or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256543?\nAnswer: 7, 67, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 20. Let n(l) = 2*l + 40. Calculate -7*a(q) - 4*n(q).\nAnswer: -q - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -4. Suppose -14 = -2*l + t. Is 4704\/20 - 2\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from {x: 2, l: 2, w: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8556 not equal to 2455759\/287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 68?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -10 + ((-8)\/(-2) - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19233590 divided by 1923359.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -234118.5185 rounded to the nearest ten?\nAnswer: -234120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxy when three letters picked without replacement from xxppnpynytmt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*16\/156*(-9291)\/(-1292) + 9*-1?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(13\/6)\/t**19)\/(t\/((t\/(t*t**21*t*t*t))\/t)*t*t*t\/t**(-5\/3)) assuming t is positive.\nAnswer: t**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13893260 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 4. Let h be (f + 1 - -1)*-3. Suppose 2*u = -2*o + 42, -h*o = -2*o. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19177945 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 175*w**2 + 149*w**2 - 55*w**2. Let r(x) be the third derivative of x**5\/60 - x**2 + 33407. Determine a(r(t)).\nAnswer: 269*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 - 3*w**4 + w**4 + (-65365 + 132603 - 63960)*(4 - 4 - 3*w**4) to k*w + i*w**3 + c + a*w**2 + u*w**4 and give u.\nAnswer: -9835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1379994\/189)\/103 - 71?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -728, -806, -860, -878, -848, -758?\nAnswer: -596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67131, 66779, 66427?\nAnswer: 66075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 15 - 11 = 0. Factor r**t + 1\/2 + 9\/4*r.\nAnswer: (r + 2)*(4*r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + sqrt(3)*-2 + (sqrt(12)\/sqrt(4))**2*-4 + 5.\nAnswer: -2*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4320*f - 4915*f - 3353*f)*(f**2 - f**2 - 2*f**4 + (1 - 1 - 1)*(2*f**4 + f - f)).\nAnswer: 15792*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -160 - -175. Solve 4*l = -5*i + 7, -2*i + 1 = -4*l + q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 213 and 4629413?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117.7, -5.4, -2, 0.4.\nAnswer: -5.4, -2, 0.4, 117.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -2*z + 0*z**4 + 1\/30*z**5 - 1\/9*z**3 - 3 + 0*z**2. Let y(g) be the first derivative of v(g). Factor y(t).\nAnswer: 2*t*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 3. Let q(a) = 4*a + 16. Determine -22*j(n) + 4*q(n).\nAnswer: -6*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10220 - 2244*v - 10220)*(5*v + v - 2*v).\nAnswer: -8976*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 46*t - 465. Calculate d(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3+433\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1287 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/(-8) + (-12)\/(-16). Suppose 0 = -c - q*c + 20. What is the first derivative of -7 + 4*w**4 + 1 - 6*w**c wrt w?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 7 = -3*s + 5*l, 5*l = -5*s + 15. Suppose h - s = 156. Calculate the remainder when h is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/(-56))\/(4\/(-14)). Suppose -2*w + 1 = -g*m - 17, -3*w + 26 = -4*m. Let l(u) = -u**2 + 5*u + 5. Determine l(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-four fifths of a meter?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**2 - a + 3. Let q be c(-3). Suppose 4*i + i - 55 = 5*z, -3*i - 3*z + q = 0. Solve -h = 3*o - i + 4, 0 = -4*h + 5*o - 28 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 5888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200 divided by -58.\nAnswer: -100\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105.72787 + 0.00213. Let q = -103.46 + -1.54. Let u = q + g. Round u to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 34545112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011874 to seven decimal places.\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6897) - sqrt(6897)*2*4 - -1*2*sqrt(6897))\/(sqrt(27) + (sqrt(27) - sqrt(27)*3) - sqrt(27) - sqrt(3) - 5*sqrt(6)\/sqrt(2)).\nAnswer: 55*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*i*r**3*z - 3*i*r**3 - 15*i*r**2*z - 2*i*r**2 + 6*i - 3*r**3 - 4*r**2*z + 2*r wrt r.\nAnswer: -138*i*z - 18*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*p + 24*p = 2255376. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -610760879 plus 4?\nAnswer: -610760875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147 - 4*s + 147)*(-2*s + 2*s + 2*s**4) + 5*s**5 - 2*s**5 - 5*s**5.\nAnswer: -10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1040 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-108)\/(-45))*2375\/(-25)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -12*w + 192. Let m be y(11). Suppose 57*i - 15 = m*i. Which is the second biggest value? (a) 0.2 (b) i (c) -2\/3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 5*h - 2*u, 0 = -3*h + u + 154. What is the remainder when h is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 2*m - 4*m + (m - 2*m + 0*m)*(2 - 3 + 4) - 2*m + 8*m + 0*m)*(4*m - 5*m - m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -6.\nAnswer: -6, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 2*d**2 - 3*d + 4. Let j be t(2). What is the closest to j in -2\/5, 3\/7, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552484 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -16.741?\nAnswer: 8.3705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5156210 by 18.\nAnswer: -2578105\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/13? (a) 0.07 (b) 3 (c) -5 (d) 1 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36042 is divided by 187.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 141044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25\/4, -8, -1471, -1, 1.\nAnswer: -1471, -8, -1, 1, 25\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*5\/(-10) - -11. Let n be 3*-5 - 24\/g. Let k = -1 - n. Solve 0 = -x - 4*r - k, 3*x - 2*r + 9 = -0*r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*t + 3*w = -12, -4*w - 16 = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a = -25. Suppose -3*v = 6*w - 2*w - 100, 132 = 4*w - a*v. Let j = -3 + w. What is the remainder when 49 is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110000 + 10111001010001010?\nAnswer: 10111000110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-6)\/(-14)) + (-444)\/42 + 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46.91 + -47. Put 0.2, b, -2 in decreasing order.\nAnswer: 0.2, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*k = 13 - 3, 4*k = -2*i + 2. What is the third derivative of -18*u**2 - 8*u**3 - 17*u**i + 28*u**2 wrt u?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 + -2*3\/6 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/((sqrt(144) - (sqrt(144) + sqrt(144) + -3*sqrt(144) - sqrt(144)))\/sqrt(12)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 271, 3 in ascending order.\nAnswer: -5, -2, 3, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 f when four letters picked without replacement from {u: 1, f: 1, l: 4, i: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -57. What is the highest common factor of 30 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 5*k - 14*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*f = -3*x + 22, 0 = -5*x - 3*f + 9. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.1018 millennia in years?\nAnswer: 107101.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atttaaateaeteat. Give prob of sequence tatt.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.3484551 rounded to two dps?\nAnswer: 11.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1308 (b) 0 (c) 0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 193, -2, 1 in descending order.\nAnswer: 193, 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**7\/l**(-5\/2)*l**(1\/3)*(l*l**5)\/l assuming l is positive.\nAnswer: l**(89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.083 (b) 68\/33 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 3*z - 98. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 37, 0.3, 1, -2, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/9))**(-31)\/(t\/(t\/(t*t**5))*t)**34)**(-22\/3) assuming t is positive.\nAnswer: t**(46442\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3025 and 4088050.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1456*r - 16. Let l be p(11). What is l rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f - 2. Let u(m) = 30*m + 18. Calculate -u(r) - 6*z(r).\nAnswer: -48*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 14*f + 91. Let n be h(-6). Let q = -4 - -6. Let g(y) = 3 - 5*y**q - n*y - 1 - 1 + y**3. Give g(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(-5 + sqrt(1053) + 1 + sqrt(1053) + -2*(sqrt(1053) + sqrt(1053)*1) + sqrt(1053))*4 + 3)**2.\nAnswer: 40176*sqrt(13) + 615177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**7\/2520 - h**6\/90 - h**5\/15 - 3*h**4\/8 + 14*h**2. Let w(c) be the second derivative of q(c). What is w(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 25*t + 200. Does 23 divide y(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1939.\nAnswer: 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b\/((b*(b\/(b*b\/b**3))\/b)\/b))))\/b**(1\/22) assuming b is positive.\nAnswer: b**(-23\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4297672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(2450) + 0 - (sqrt(2450)*-2 + 4)))**2.\nAnswer: -15120*sqrt(2) + 793944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -199 - 403e?\nAnswer: -41d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*z + 4*b, 0 = -4*z + 2*b + 7 - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.9, 1\/3, -127, 4, 0?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 x, and 2 m when four letters picked without replacement from joxjmmmxxjjxmfy?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 + 5*u**3 + 2*u**2 - 5*u**2. Let b = 1 + 18. What is the remainder when b is divided by g(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.324761\nAnswer: 1.299044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010691504 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -31051021.\nAnswer: 155255105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 31*x**3 + 3*x. Let p(w) = -271*w + 2462. Let r be p(10). Let k(c) = -2573*c**3 - 248*c. Calculate r*g(f) - 3*k(f).\nAnswer: 31*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k\/k**2)\/k*k))\/k*k*k**(-5)*k*k**1*k**1)\/(k*k**1*k\/k**(-4)*k*(k**(-1))**18) assuming k is positive.\nAnswer: k**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2664 = -85*r - 86*r + 245*r for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*n + 3861 = -6*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 4*n - 2. Let q be d(4). Let b = 1 + -2. Let j = b - -2. Sort j, 3, q.\nAnswer: q, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 82 - 2 = 0. Suppose 5*v + w = -2*t, v - 4*t + 18 = -v. Sort 2\/11, -4, 4, v in increasing order.\nAnswer: v, -4, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, r: 11}. Give prob of picking 1 q and 3 r.\nAnswer: 77\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 54 = -286*o + 285*o, 3*l + 46 = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 756.374 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 107 = -g, -27*g - 292 = -2*z - 212 - 187 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/(-4)*(-1310)\/(-1965) - ((-218)\/(-16) + -1)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 31. Suppose 4*t - 5*q - 2 = 0, -3*q - k*q + 22 = 4*t. Suppose 2927 = 2*m - t*x, -m + 4*m - 5*x - 4390 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 1. Let a be c(-3). Let l be a\/3 + (-196)\/(-12). What is the remainder when (l - -1) + -1 - (-1 - 1) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27e - 0?\nAnswer: 27e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.238004kg in milligrams?\nAnswer: 238004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3740653*i**2 - 4097140*i wrt i.\nAnswer: -7481306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*o + 33756000 = -65*o. What is o rounded to the nearest one hundred thousand?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -687.52 to the nearest ten.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29011185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7*-0.02.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -356446.\nAnswer: -356444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*z + 4*z - 5*s, -z = -4*s + 12. Suppose 5 - 21 = -z*l. Factor -120*r**2 + 2*r - 31*r - 36*r**5 - l - 184*r**3 - 132*r**4 - 7*r.\nAnswer: -4*(r + 1)**3*(3*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10549*l - 10553*l - m = 39, -3*m - 9 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 3*a + 4*a)*(-30 + 12 + 3*a + 16).\nAnswer: 6*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 729.2 - 729. What is the nearest to -0.1 in 2\/7, 1, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + n + 3600 = 0. Suppose 0 = -6*b - n - 18. Which is smaller: b or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91*l*m**2*z + 9*l*m*z - l*z - 2*l - 5*m**2*z - 3*z wrt m.\nAnswer: 182*l*z - 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -190, -199, -200, -187, -154, -95?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 47393323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1519?\nAnswer: -5\/1519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*b + 8*b. Suppose -2*m - 2 = -3*m. Calculate the least common multiple of m - 4\/(8\/(-18)) and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 39. Sort -0.4, l, -5, -1 in descending order.\nAnswer: -0.4, -1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2. Let g(c) be the second derivative of c**3\/3 - 8*c. Determine g(u(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 2:57 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548639.432 rounded to the nearest ten thousand?\nAnswer: 1550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -24*s**3 + 82*s**2. Let y(h) = -2*h**3 - h**2. Let p(u) = c(u) + 4*y(u). Find the third derivative of p(n) wrt n.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0, 2.4, 0.5, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3299106, -3298621, -3298134, -3297645, -3297154?\nAnswer: -3296661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -478, -1196, -2212, -3526, -5138?\nAnswer: -7048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 12*c = 375. Let x = 331 + 74. Let i be x\/c - 4\/(-10). Let r(t) = 2*t**2 - 3*t - 5. Let w(b) = 3*b**2 - 4*b - 7. Calculate i*w(g) + 7*r(g).\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 6. Let g(m) = 2*m + 7. Let s(c) = c**2 + 3*c + 11. Let a(b) = b + 1. Let f(x) = 6*a(x) - s(x). Let r be f(2). Calculate r*g(y) - 4*p(y).\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -67. Suppose -5*n - 6 + 106 = 0. What is the least common multiple of a and n?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 15 + 8*i**3 - i**3 - 8*i**2 - 2*i**3 - 4*i**3 - 12*i. Is h(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -1.1. Let y = n + -0.1. Let j = 0.2 - 0.7. What is the nearest to -0.1 in -2, y, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -10 + (14 - (16 - 8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 50.8. Let n = p + -6.2. What is the closest to -0.1 in n, 2\/19, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9.14 and 9.\nAnswer: 18.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 336847514 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + a - 5. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buu when three letters picked without replacement from ubbbbbbbbbbuuu?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*n + 19. List the prime factors of n*8\/6*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471*n - 18270238 = 128*n. What is the ten thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -4\/97 (c) 0.13 (d) 0.09 (e) 0 (f) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179 - 5*d**3 + 179 + 0*d**3 - 7*d**3.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y = 0. Suppose -o - 4*o + 1180 = y. Suppose 0*w - 4*w + 84 = 2*x, 5*x - o = 3*w. What is the remainder when x is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 35598 = -2*r. Let o = r - -237393\/20. Find the common denominator of o and 2\/(-4) - 35\/11.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + sqrt(396) + sqrt(1584)\/sqrt(4)) + 5 + (sqrt(77)*2)\/sqrt(7) + -2 + sqrt(22)\/sqrt(2))**2.\nAnswer: 792*sqrt(11) + 12123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 45778*f - 45778*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (10 + -4 - (3 + -8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*m - 5*j + 19 = -46*m + 45, -4*m = j - 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23570644800 rounded to the nearest 1000000?\nAnswer: 23571000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/(g*g**18))*g)*g*g\/(((g\/g**(1\/18))\/g*g)\/g)*g)\/(((g\/(g**(-14)*g))\/g)\/g**(-7\/5)))**42 assuming g is positive.\nAnswer: g**(-19117\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - d + 51, 0 = b - 4*b + 4*d + 51. Suppose -4*a = b - 169. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1798063628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 68467921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppaauunaaapppppaap. Give prob of picking 1 n and 2 u.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -4 (b) -7612 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 11 = -9*k. Let w = k + -44. Let h = w - -75. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + g = -4, 2*g = 5*u - 17. Let v be (u - 0)\/((-3)\/(-6)). What is the second derivative of -2*n**4 + v*n - 9*n + 0*n**4 wrt n?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 149422 and 33661.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/((-10)\/(-75))*(-3703)\/2645\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 + 2*r**3 - 2*r**3 + 2 + 8*r**3 as g + l*r**3 + h*r**2 + o*r and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) -1\/11 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 67095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b + 5. Let o(f) = 2*f**2. Calculate o(s(w)).\nAnswer: 128*w**2 + 160*w + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -26. What is the remainder when h is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 19. Let t(h) = 37 - y - 6*h - 21. Determine t(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*x = 54716 - 46886 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235, 233, 231?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 - -108. Let t(y) = m + 2*y + 14 - 23. Let b(x) = -18*x**2. Determine t(b(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3753785.46 and -2.3192.\nAnswer: -3753787.7792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1813985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 122, 124, 126?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53863229?\nAnswer: 7, 7694747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1456)\/(-48))\/(2\/6) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.7052 days in hours?\nAnswer: 400.9248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + -1 - ((sqrt(170)*-4 - sqrt(170))\/sqrt(10))**2.\nAnswer: -426 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5164351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 155586599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/5 of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**4 + 3163002*y**3 - 2*y**2 + 465*y + 205714?\nAnswer: -12*y**2 + 18978012*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccfcfcfccccffccc. What is prob of sequence ffc?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27659 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + k - 78, -3*k = 3*u - 0*u - 123. Suppose 3*p - 334 + u = 0. Does 33 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*a + 93*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*w = -44*w + 3*l + 399, -3*l = -2*w + 201. Calculate the highest common divisor of w and 1507.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 less than -116299?\nAnswer: -116313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u - 43. What is x(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1468*h**4 + 3*h**3 + 38*h**2 - 25*h + 1 wrt h?\nAnswer: -35232*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/54*-3)\/((-2)\/(-12))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 379395939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p + 113. Let j be n(18). Suppose -5*g + j = 0, g - 12 = -5*h + 14. Solve -r + 16 = -h*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/486540 and 17\/806760.\nAnswer: 726890760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 133.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8079655 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 2\/1581 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -5*r**3\/3 - 5*r**2\/2 - 23*r. Calculate i(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13 + 0.07. Let f(o) = -o + 13. Let t be f(8). Suppose t*m + 10 = -0. Which is the nearest to 1? (a) 0.1 (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*s**2 - 41*s**2 - 60*s**2 - 4*s**3 + s as o*s + i*s**3 + w + m*s**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (27\/(-72))\/((-6)\/(-4)). Which is the third smallest value? (a) 0 (b) j (c) 5 (d) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 11*s**2 - 3*s - 3. Let n be (-6 - -5)\/(2\/12). Let d be k(n). Suppose q + d = 6*q. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*i = 873 - 3555 - 2070 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/4 and -1\/10400.\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2381309362 from -0.00077.\nAnswer: -2381309362.00077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1\/2, -3, 1567, -200 in increasing order.\nAnswer: -200, -3, -1\/2, -0.3, 1567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10010 + 20?\nAnswer: -3330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -23.06. What is the second smallest value in 0.1, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, -8\/7, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 738866841 to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -44 + 21 - 11.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2))**(-6\/13)\/((b*(b**(-11)*b*b)\/b)\/((b\/(b*b*b\/(b\/(b**6\/b))))\/b)) assuming b is positive.\nAnswer: b**(38\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*j - 180. Calculate the greatest common factor of j and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 955013415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(19705\/(-28) - 9\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -99, -86, -51, 18, 133?\n\"Answer: 2*z**3 - z**2 + 2*z - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 25 = 5*w, -3*w = 5*i + w - 20. Let s = i - -6. Suppose -2*l = 10, 283 = -4*k + s*k - l. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.8 from 25317616878320.\nAnswer: 25317616878321.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + 10110100?\nAnswer: 10101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-7))\/((6\/(-322))\/((-177)\/(-236)))?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*j = 40, -2*j + 16 = -t - 0*j. Let y be 8\/t - (-427)\/21. Suppose l - 20 = -x, -2*x - 5*l + 9 = -y. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5825064*i**3 + 2*i - 2*i - 5825057*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f + 8, -4*t = -f - 4. Let u be (-6)\/(-9)*(-3)\/(-2). Let h(g) = g**2 + u + 0 + g**2 - 2*g**3. Calculate h(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 1285285?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k**3 + 3*k - 71*k**2 - 3 + 6 + 71*k**2 as m*k + c + g*k**3 + u*k**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(1*2\/(-2)). Let o(d) = d**3 + 3. Let f(y) be the first derivative of 5*y - 8*y + 28 - 2 + 2*y. Give u*o(k) - 3*f(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 14*f**2 - 13*f + 1. Let b be i(-13). Let u be -1 + (0 - 3\/2). Which is greater: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10}. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o - 234. Let z be u(27). Calculate the greatest common factor of z and 486.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434*g - 435*g - 2*b - 2 = 0, 0 = 5*g + b - 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3213 - 0.2213. Sort 68, z, 0.01.\nAnswer: 0.01, z, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + 192. Suppose 5*v + f = 49. Let n be -7*18\/v + -4. Which is the nearest to 0.1? (a) 0.3 (b) 1\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1599384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**4\/12 - 12*t**2. Let p(r) = -2*r**2. Determine v(p(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -39\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10293627, 20587254, 30880881?\n\"Answer: 10293627*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 34881 = -2*i, -2*m + 3*i - 3764 + 17724 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -9345?\nAnswer: 9332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6166614334 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11069707 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 20. Let t = -27.046 + 27. Let u = -0.254 + t. Sort u, -0.2, n in descending order.\nAnswer: n, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {x: 2, g: 5, m: 4}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 3*u**2 - 50*u - 19. Let f be z(6). Suppose -f*i = -5*a + 55, 16*i - 10 = -2*a + 15*i. Solve 5*c - 2*c + a = -t, -5 = 5*t + 5*c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-22)*((-2548)\/(-104) - 25).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52.1 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1044)\/609*14\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 217 and 1764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5959 divided by -446.\nAnswer: -5959\/446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3485182 to the nearest integer?\nAnswer: 1867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*r - 78 + 32*r + 80)*(6 + 4 + 5) in the form q*r + z and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79.7 + -79.666. What is the smallest value in l, 2\/19, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 17*r**5\/60 + 19*r**3\/6 + 38*r**2. Find the first derivative of m(w) wrt w.\nAnswer: 34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/u**(1\/9))\/(u\/u**(-1\/4))**(-50) assuming u is positive.\nAnswer: u**(1231\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l - 14. Let c be s(-13). Suppose p = 2*i + 91, 3*i + c = p - 2*p. Let v be (-8 - i) + (1 - -2). Calculate the highest common factor of 429 and v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 7. Let l(c) = -10*c**a + 7*c - 6*c + 2 + 7*c**2 + c**3. Calculate the remainder when 12 is divided by l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w - 3*z = 9, w + 3*z + 17 = 0. What is the hundreds digit of ((-9225)\/180)\/(w\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 68746596 (b) 2\/9 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 32 = 19*j - 2 + 7, 2*j = -4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 707*n**3\/3 + 36. Let g(s) = -2*s. Calculate g(i(w)).\nAnswer: -1414*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 12 = 10*m. Let d be (m + -3)\/2 - (-3)\/2. Let s(p) = -7*p. Calculate s(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28972 divided by 28972.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8631105 by 246603.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-10)*-12*(-5)\/1650.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 1:27 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162 by 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -p - 1. Suppose -v - 43 = -4*n, 2*n + p*v = 6 + 20. Let i = 8 + n. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o + 108. Calculate l(26).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -10222?\nAnswer: 10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**5\/10 - 29*f**4\/8 - 163*f**3\/6 - 235*f**2\/4 - 51*f + 2661. What is n in r(n) = 0?\nAnswer: -3, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1099047 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1367011 at least 18\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*v + 3*y - 9, -5*v - 24 = 3*y. Let b(w) = 2*w**2 + 8*w - 4. Let u be b(v). Solve -3*o = 2*o + u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2749075 and -5.\nAnswer: 13745375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 14*n - 4. Let t be a(2). Suppose 0 = -t*g + 9*g + 300. Let j(v) = -81*v**3 - 1. Let q be j(-1). What is the greatest common factor of g and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8460 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*3\/(-63)*-35.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2341?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -201.2 - -201.7. Let p = 2\/45 - -13\/45. Which is the closest to 0? (a) p (b) y (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.039 and -1.1.\nAnswer: 0.0429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598514?\nAnswer: 2, 7, 42751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.392 - -0.628. Let p = a + -3.02. What is the nearest to p in -0.4, 1, -2, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35.9538 - 0.0462. What is the third biggest value in g, 2, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.234672 to two dps.\nAnswer: -2.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + -23a75?\nAnswer: -23a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43894 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -17. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 4434.\nAnswer: -7\/4434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 75bb + -7ca?\nAnswer: 6ac1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 943216 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 121657 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 - (5 + 1 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*y = -20553, 12*t + 4*y = 11*t + 4117. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43421 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Suppose -4*p + a*n = p - 156, -5*p + 135 = 5*n. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -44*c. What is the tens digit of m(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.8497942 rounded to 1 decimal place?\nAnswer: 138.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v = -n + 64, 286 = 4*n + 3*v. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 126, 287, 448, 609?\n\"Answer: 161*p - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -291491882 plus -8962?\nAnswer: -291500844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/40 and 125\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00131538021 to seven dps.\nAnswer: -0.0013154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 18*c**2 + 309*c - 1604. Let t be g(5). Calculate the highest common factor of t and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*k + 1136 = -321*k + 115*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19853, 19854, 19855, 19856?\nAnswer: 19857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 630 = -150. Let c = 14 - a. What is the remainder when c is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -3 (c) 21\/5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 283770741 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*d - 89*d + 15 = -4*s + 89*d, -4*d = -20. Let z(b) = 0*b - 2*b + 6 + b. Let y be z(0). Solve -3*u + 6 = c - y*u, -3*u - 9 = s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 19*q - 48 = -5*q, 3*o - q - 10 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-119)\/2)\/(15\/10 + -2). Suppose 40 = 3*a - g. What are the prime factors of a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1001533 + -5504?\nAnswer: 552025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246497 is divided by 493.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = -12*o + 8*o. Let z = o + 111. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001175707 to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 7 + -4 - 2. Suppose -2*o + 7 + h = 0. Suppose 2*n + n - t = 12, 0 = -4*n - 5*t - 3. Calculate the remainder when o is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2.3, 0, -1\/3 in increasing order.\nAnswer: -4, -1\/3, 0, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3764 - 3763. Is 7\/5 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2. Let w(j) = 379*j + 5. Let m(q) = -196*q - 3. Let k(f) = -5*m(f) - 3*w(f). Give k(z(t)).\nAnswer: -628*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 23.3. Let t = 0.29944 + q. What is t rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/9 - 106*n**2\/3 - 320*n\/9.\nAnswer: 2*n*(n - 160)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2440 + 8020 + 4*d + 1014.\nAnswer: 4*d + 11474","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-33))\/((546\/21)\/(-78)*(-2)\/101)?\nAnswer: -101\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-6)*n)**(3\/17)\/((n\/(n\/n**(-9)))\/n**(-10)) assuming n is positive.\nAnswer: n**(-29\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 13*l**2 + 31*l - 27. Determine j(7).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4036*v**6 + 4*v**2 + 164*v wrt v.\nAnswer: -484320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/(-14)*(462\/165)\/(-7)*(-70)\/(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2301 - -313?\nAnswer: 2614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38454?\nAnswer: 2, 3, 13, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 + (-34 - -93) - 52.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 869 divided by -31\nAnswer: -869\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 2:59 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2\/h)**11*h*h**(-2)*h*h*h**(-1\/3))**(2\/31) assuming h is positive.\nAnswer: h**(70\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130111112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**2 - 2. Let s be w(1). Suppose s*o - 288 = -2*o. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1025*s + 8196. Give n(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 1:23 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 3*b**2 + 0*b**2 - 9*b + 2*b.\nAnswer: 2*b**2 - 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*p**2 - 70 - 300 - 136*p**2 + 3*p + 688 - 1871 wrt p?\nAnswer: -234*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 89?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iprriiiitiir. What is prob of picking 1 i, 2 r, and 1 p?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**5\/80 + y**4\/2 - 6*y**3 + 3035*y**2. Suppose l(s) = 0. Calculate s.\nAnswer: 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-680)\/(-1530)*14\/21*-108.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/9 and 23\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 5 = -5*v, -82*v = n - 86*v + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 7 = p, 0*p + 3*p = -3*b - 21. What are the prime factors of (p + -4)\/(2\/(-2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 31. What is the lowest common multiple of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -3, 1271, 2, 0.\nAnswer: -66, -3, 0, 2, 1271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/2))**(-48)\/((u**3\/u*u*u)\/(u\/(u\/(u\/(u*u\/(u**(-2\/3)*u)))))))\/((u*u**(1\/5)\/u*u)\/(u\/(u**(-3\/2)*u)))**(-2\/67) assuming u is positive.\nAnswer: u**(-28819\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3 = d, 156*d - 27 = 2*t + 161*d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*t + 2. Suppose 4*j = t + 10. Suppose j*n - 12 = 58. Calculate the highest common factor of 126 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 8:57 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 m when four letters picked without replacement from wmwwwwmwwm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 2535.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -4*(-5 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2363, -2360, -2355, -2348, -2339, -2328, -2315?\n\"Answer: c**2 - 2364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929 a factor of 157061418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f + 184. Calculate g(-5).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, 10, -1, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/24)\/(2\/148). Let l = j - -13. What is the smallest value in 1, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 394*g**3\/3 - 536*g**2\/3.\nAnswer: 2*g**2*(g - 67)*(3*g + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/44658 and 31\/9924.\nAnswer: 89316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -375 and 0.000795053?\nAnswer: 375.000795053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 247825.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42572 and 1508?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from fkfjf.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 0. Let p = 20.305 + -20.105. What is the closest to 0 in z, -0.6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1\/5 (c) -24 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4 - 23 + 538*t + 1463*t. Let n be h(-13). What is n rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/25)*w\/(w*w**1))\/(w\/(w\/w**(-1\/4)))**(-48) assuming w is positive.\nAnswer: w**(-298\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 756, 1510, 2264, 3018, 3772?\n\"Answer: 754*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d - -c5c?\nAnswer: c2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 4*j**3 + 4*j**2)*((9*j + 13*j - 23*j)*(-1 + 2 + 0) - 2*j - 6*j + j).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/4696 and 29\/2496.\nAnswer: 1465152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2762 and 71484703.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131865 = 3*w + 2*j, 331*j - 330*j = 4*w - 175798. List the prime factors of w.\nAnswer: 43951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(63)\/(sqrt(9) + sqrt(18)\/sqrt(2) + sqrt(9)) + -5))**2 + ((2 + sqrt(21)\/sqrt(12))*4 + -3)**2.\nAnswer: -10*sqrt(7) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*l + 0*l + 110*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1612453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037570556 rounded to 5 dps?\nAnswer: 0.03757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 9*q**2 + 10*q + 4. Let r(w) = 10*w**2 + w - 1. Let g be r(1). Let t be y(g). Suppose -43 = -4*x - 4*j - 7, t*x - j = 51. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-15)*(-113)\/(-565)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -592, -606, -628, -658, -696, -742?\n\"Answer: -4*g**2 - 2*g - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-1 - -3)*(-78)\/52. Is 9 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + 7 - 5*j - 5)*(-3*j + 3*j + 3*j).\nAnswer: 3*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 6*w - 12. Let i be q(-8). Solve 4*v - 12 = -0*v, 3*s = i*v - 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 2*f**2 - 2*f**4)*(1 + 0 - 3) + (6*f - 5*f - 15*f)*(f**3 - f**3 + 2*f**3).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 53. Let n be q(29). Suppose -c = 3*x + 2*c - 9, -n*x + 22 = -2*c. Solve 4*l - f - 14 = l, f = -x*l + 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2 - 4*q + 3*q - q. Let p(d) = -2*d - 2. Let b be -3*(-2 + 1)*-1. What is b*v(c) + 2*p(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 6*q**2 + 2397*q - 14207. Determine h(6).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - 5*(sqrt(1331) + 1)) + sqrt(1331)*1 + 5 + (2*sqrt(1331)*-3 - (3 + 1*sqrt(1331) + sqrt(1331))))**2.\nAnswer: 726*sqrt(11) + 161060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m + 53. Calculate o(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 1 (c) 0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25022 rounded to 3 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 4*j. Let x be g(3). Suppose -392 - 352 = -x*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 79244.74l to millilitres.\nAnswer: 79244740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 11. Let b be x(-10). Solve 5*t + b = -2*k, 2*k + 3*k + 5*t = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*n - 1631, 7*v = 2*v + 2*n + 4005. Calculate the remainder when v is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184219884 and 20468876?\nAnswer: 184219884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Let x = -18 + 20. Let v = -3.7 + 4. Which is the nearest to 1? (a) x (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4 - 18*q**3 + 39*q**2 + 126*q = 0. Calculate q.\nAnswer: -7, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 4bc?\nAnswer: 4b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 42*k**2 - 9*k + 13. What is the units digit of j(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 10*u**2 + 15*u + 11. Calculate the remainder when h(-5) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25517 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y - 24. Calculate b(19).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, h: 4, w: 2, i: 3, v: 4, j: 1}. Give prob of picking 1 i and 2 w.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46745492 to the nearest integer?\nAnswer: 6837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2217*o**5 + o**4 + 99*o**3 - 1366978*o**2?\nAnswer: -133020*o**2 + 24*o + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1862.48 or 565?\nAnswer: 565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 55738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 10 = 2*t + 5*o, 2*o = 2*t. Suppose t*h + 2*q = -0*h + 90, -h + 25 = -q. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16\/27 (b) -259653 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 4*n**2 + 4*n + 6. Calculate the remainder when p(5) is divided by 18*26\/(-7488) - ((0 - (-930)\/(-32)) + 3).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 + 5*t**4 + 8*t**3 + 4*t**2.\nAnswer: t**2*(t + 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54468233 - -5?\nAnswer: -5446822a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*i + 324, -n - 300 = -3*i + 4*n. Does 21 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/9261304 and 43\/34729890?\nAnswer: 138919560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -46. Suppose t*y = -4*s, 4*s + 3*y = -s + 4. Suppose 6*i + 2*g = i + 195, 10 = s*g. List the prime factors of i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 10:39 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 3*x**5\/4 + 10*x**4\/3 - 10*x**3\/3 - 19*x**2 + 3. Factor i(q).\nAnswer: 5*(q + 2)*(9*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.75337 + -0.04663. What is the nearest to u in 0, 1\/5, 0.5, 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 1. Suppose 146 = 6*i + 122. Let s(t) = 2. Determine i*z(p) + 2*s(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (319 + 33 + 55)*(-6*a - 6*a + 0*a).\nAnswer: -4884*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -4*h + 39 - 58, 4*v + 14*h = -88 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 2*b + 11, -b = -4 + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + m - 96 = 2*p, 0 = -4*p - 2*m - 176. Let y be p\/(-14) + (-2)\/7. Solve -2*d - y = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 323 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -16\/7, 0.17?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 1 + 1)*(-5 + 4 + 0)*(-2 - 1 + 1)*(3 - 1 - 5)*(0 + 19*r + 0) to the form z + x*r**2 + i*r and give x.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + p = 5, 2*p = 2*l - 146 + 156 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 8*b - 64. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4)\/t**(1\/8))\/(((t**7*t)\/t)\/t**5))\/((t*t**(-15))\/t**(-1\/2))**(1\/11) assuming t is positive.\nAnswer: t**(-431\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23.86967101 and -2378?\nAnswer: 2354.13032899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 14?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 12 = -4*z. Solve 4*s + 15 = -s - 4*l, s + 19 = -z*l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 810432 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5292759059 and 4?\nAnswer: 5292759055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/75 and 143\/852.\nAnswer: 21300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 1, -4*j = l - 5*l - 60. What is the greatest common divisor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 - 4*m + 4. Let x(y) = 10*y**2 - 11*y + 11. Determine 11*p(w) - 4*x(w).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1373139292 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 288 - 235. Suppose 0 = -14*g + 165 - p. What is the smallest common multiple of g and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.06 (c) -0.5 (d) -1.1 (e) 100\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17 * 670\nAnswer: 11390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/3 - 2*c = 0. What is c?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138)\/69*-4*(-5)\/(-1080)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 107328*h - 719956224.\nAnswer: -4*(h - 13416)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -2) + 0 - 2. Let f be (k - -2)\/((-2)\/(-10)). Suppose f*z = 22 - 2. Solve -2*g = -z*h, 4*h + 0*h + 5*g = 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -25. Let c = i - -9. Let b(v) = -4 + 4*v**2 + 0*v + 2*v + 5 + v**3. What is b(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*f - 28903 = -28223 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31373798 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-108955)\/(-1210))\/(-283))\/((-2)\/44))\/(1\/14).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -43. Let i be n\/(8\/4) + 15 + 1. Let u(r) = 18*r - 8*r - i*r. Let j(x) = 5*x**2. Determine u(j(h)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -164 - -175. Suppose 0 = u*h - 1373 - 2180. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1723909?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -38*o + 8*o + 1694. Solve -12*b - o = -29 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/3)*p)\/p)**37\/(p\/p**(-9)*p*p**(2\/11)\/p) assuming p is positive.\nAnswer: p**(478\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27927121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3)\/u)**(-14))**(-19)\/(u**(-1)*u*u**5*u*(u*u*u**(2\/5))**(-34)) assuming u is positive.\nAnswer: u**(-4186\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-one fifths of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 575028 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 4. Suppose 3*p + 2*p + x*v = -20, 0 = 2*v + 10. Is p bigger than 7\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0437291583 rounded to 5 dps?\nAnswer: -0.04373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-4) - (-2)\/(-8). Let u be (y + -3)\/((-2)\/(-10)). Let c be 3 + -5 - (-1 + u). Solve c*k = 2*r + 22, -r + 12 = -3*r + 2*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/16 of a day?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - w**3 - 1)*(-4*w + 3*w + 3*w) + 558*w**4 + 2515*w**4 - 84*w**4.\nAnswer: 2987*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 66, 69, 74, 81?\n\"Answer: r**2 + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2221.9 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - -1*(-38)\/(-2). Suppose -4*j = 128 + h. Let m be j*((-10)\/4 + 2). Solve -2*n - 1 + 0 = t, n = -4*t - m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from {n: 1, b: 1, j: 4, m: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((75*19\/(-4750))\/(19\/(-5)*1))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254781, 255889, 257735, 260319, 263641, 267701?\nAnswer: 272499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 351641.\nAnswer: 24\/351641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 110874503*s**4*u**2 - 175276273*u**2 wrt s?\nAnswer: 443498012*s**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 1275.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*f - 3*o, 4*f + 3*o = -0*f + 7. Let v be ((0\/(-1))\/1)\/f. Solve -j - 1 = -v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/((-30)\/16)*(-975)\/(-20)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*b = -0*b. Suppose b = -h + 45. Let n be (-25)\/(-9) - (-10)\/h. Solve -x + 5*t = -27, -4*t = n*x + t + 19 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 1816*m + 51837. What is a(29)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f**3 - 2*f**2 - f + 1. Let q be w(3). Calculate the remainder when 15*(-7 - q\/(-20)) is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*r - 92 - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 268 = -l. Let f = l - 131. Find the third derivative of -559*i**2 + i**6 + 29*i**6 - f*i + 556*i**2 wrt i.\nAnswer: 3600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8771)\/(-12) + (-23)\/(-23). Let f = 736 - n. What is the common denominator of 101\/24 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*m**2 + 10*m**2 + 4*m**3 - 7*m + 16*m**2 - 44*m**2 - m to the form w*m**2 + v + q*m + z*m**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-12\/11))\/(w*w**16*w) assuming w is positive.\nAnswer: w**(-199\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 247254659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 8:43 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33000 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 386976 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: Solve w + 2 = j, -2*j - 9*w = -7*w - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 d when four letters picked without replacement from mmmmmmddmmmd.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 5, -9, -0.3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, w: 5, b: 1, i: 1, m: 7}. Give prob of sequence wzib.\nAnswer: 1\/6552","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -57. Suppose 1 = -3*c + v. Let p(a) = 10 + a**3 - 5*a**2 + 0*a**3 - 2*a - 3*a**2. Calculate p(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692921?\nAnswer: 23, 47, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 16308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + 16. Suppose 4*s - s = a. What is the remainder when s is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(-8))**(-46)\/((x\/(x*x*x**(-2\/3)))**(-1\/3)*(x**(-1\/4))**(-10\/13)) assuming x is positive.\nAnswer: x**(-71\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 43*a + 138 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11192922 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -15, -20 = 4*l + 4*q - 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -2*f + 3 - 4*f**2 + 1\/2*f**3. Let r(s) = 2*s**2. Calculate r(o(h)).\nAnswer: 18*h**2 - 96*h + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*z = -t - 26, 2*t + 8 = -4*z. Let c = 7 + t. Is c greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 7\/10)\/((-42)\/(-42)*-1)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j. Suppose -6*m + 6 = -0. Let u be 2\/m + 8\/2. Let w be (-12)\/9 - u\/(-18). Let s(b) = 3*b + 2. Calculate w*s(d) + 5*q(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c = -28. Let a be ((-16)\/(-28))\/(4\/c). What is the derivative of a*g**2 - g**2 - 1 + 0*g**2 wrt g?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -31. Let o(b) = b**3 - 9*b**2 - 19*b. Calculate the remainder when o(r) is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*((-14)\/77 - 204652\/77)?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 27. Let d be (2 + q\/(-3))*22. Let v be (d\/(-6))\/((-3)\/9). Calculate the greatest common factor of v and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 0*l - 2*w + 8, 5*l + 4*w = 12. Suppose 34 + 8 = -5*h + l*y, 0 = h + y + 3. Let q(a) = a**3 + 7*a**2 + 9*a + 7. What is q(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -48?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-709)\/140*-3 - (-5035)\/(-4028) - 14.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1d (base 14) to base 16\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 0) + 6 + 1. Let p be 21\/(-7)*(4\/6 + -1). Suppose t = h - p. Calculate the least common multiple of t and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 77, 173, 307, 479, 689?\nAnswer: 937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 50*l**2 - 6*l + 9. Let s(t) = -51*t**2 + 6*t - 11. Calculate -6*o(g) - 5*s(g).\nAnswer: -45*g**2 + 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -121, -115, -107, -97?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Suppose -4*g - 9 - 101 = -3*f, 4*g + 20 = q. Let u be (-6)\/4 - (-51)\/f. What is the second smallest value in u, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74057 >= 74006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -10. Suppose i*m = m + 95. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.81, 10, -5.5, -5, -0.07 in descending order.\nAnswer: 10, 2, -0.07, -0.81, -5, -5.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133147, 133149, 133151, 133153, 133155?\nAnswer: 133157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14392218633 + 182.2.\nAnswer: 14392218815.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*q - 183, -3*b + 3*q + 102 = -b. Suppose -4*k - b = -3*h, 2*h - 36 = -k + 2. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 93?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5 - 3 = 0. What is the second derivative of 0*y**4 - y**z - 2*y**4 + 9*y wrt y?\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105\/37 + -2921\/444. What is the common denominator of r and 103\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 5. Let l = 421 - 124. Let v = l + -187. What is the highest common factor of v and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 970 and 1552?\nAnswer: 7760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -1\/3*g**3 - 1\/24*g**4 + 0 + g**2 + 0*g. Determine o(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 3:34 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 + -0.58. Let s = 2\/63 + 17\/126. What is the second smallest value in s, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 4*g**2 - 2*g**2)*(-2*g**3 + 3 - 3) - 720*g**2 - 2*g**4 + 719*g**2 + 7*g**5 - 47*g**5.\nAnswer: -42*g**5 - 2*g**4 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9985 - -43a0?\nAnswer: -55b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15617487 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5 = -j, 0 = -5*j + x + 4*x - 5. Let z = 2.9 - 3. Let o = -0.082 - -0.482. Which is the nearest to z? (a) o (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.81 and 91.1.\nAnswer: 893.691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6236963*i**5 + 8634822*i?\nAnswer: -124739260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 4, 2, 0.3 in ascending order.\nAnswer: 0.3, 2, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158911 + 158911 - 36*h.\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**3 - 2*u**2 + 3*u + 6. Suppose 35*q - 33*q - 4 = 0. Give s(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 13 = 2*m. Let c be ((-10)\/m)\/((-45)\/54). Let z be c\/(-3) + (-2)\/(-3). Solve -d + 3*d - 8 = z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1346 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 7:30 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18546)\/99)\/(4\/(-30)). Suppose -1128 = -17*b + z. What is the remainder when b is divided by 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = f + 6, -3*a + 16 = 5*f - 0*a. Is f greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -1. Let g(x) be the first derivative of -x**2\/2 + 4*x - 74. Determine g(f) + 4*q(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1570)\/(-25))\/(6\/135) is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 20 = -5, -3*d - 20 = -i. Suppose -3*r = -i*r + 1080. What is the remainder when r is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -7 + (37 - 42)\/(1\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2353 - 1202. List the prime factors of h.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 2. Let h be b(-2). Sort 1, h, -5 in increasing order.\nAnswer: -5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4746669055 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 15.3. What is the closest to -0.1 in a, -5, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -16. Let c = -3 + y. Suppose -5*m + 4*j - 5*j = -14, c*m + 4*j = 8. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2823.\nAnswer: 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -483*u + 5787. Calculate m(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011 - 10111111101010?\nAnswer: -11000000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 7*p**2 - 8*p + 7. Let i be d(8). Solve 2*w + 1 - i = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:04 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5715854833?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j - 27 = -22*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n**2 + 23*n - 1. Is l(-6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 + 7*b - 1. Let u be o(-3). Let j be (0 + -21)*5\/15*u. Let h = j - -83. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 5*g**2 - 2*g + 10. Let d be f(5). Suppose w + 5 = d, 8 - 2 = -4*n + 2*w. Which is the nearest to -1\/3? (a) n (b) -2.8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2957, -25250, -86209, -205166, -401453, -694402, -1103345, -1647614?\n\"Answer: -3222*r**3 - r**2 + 264*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/((-5)\/2)*-1. Suppose k*y = y. What is the second derivative of y*b - b - 2*b**3 + b**3 wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.21 + 0.14. Let x = j + -0.33. What is the nearest to 2\/3 in 4, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, k: 9, r: 1, j: 4, v: 1}. Give prob of sequence vx.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 10593.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 26. Let d(j) = -j**2 - 7*j + 3. Calculate d(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3735919 is divided by 3735897?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 5. Let y = 11 + -6. Let s = -9 + y. Is d(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 46, -38, -200, -446, -782, -1214?\nAnswer: -1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.411757 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -1072*v**3\/3 + 1203*v**2\/2 + 5166*v. What is the first derivative of h(s) wrt s?\nAnswer: -2144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 21*o + 100. Determine r(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81927?\nAnswer: 3, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0)*(-2 + 3). Let t = 122\/5 + -24. Let p = 77965 + -77961. What is the nearest to -3 in a, p, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 9*v = 60, v - 38 + 53 = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 276 - 275.634. What is i rounded to 2 decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 9*d - 44. Calculate i(-13).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 546916724?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) - (-8 - 1978\/(-230)). Sort -0.05, f, -33, 1.9 in descending order.\nAnswer: 1.9, -0.05, f, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -222 + 225. Suppose -34*l - 186 = -q*l. Let t(c) = 6 - 7 - c - 12. Calculate t(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d + 2*d - 5 + 4*d. Let p be f(5). Factor 9 + p - 4 + 13*t - 5*t**2 - 18*t.\nAnswer: -5*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 155 and 124.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12557, -12454, -12361, -12284, -12229, -12202, -12209?\nAnswer: -12256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15270512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 32*n**3 + 246. Let t(m) = -29*m**3 - 245. Let b(k) = -2*i(k) - 3*t(k). Differentiate b(h) wrt h.\nAnswer: 69*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-25))\/(6\/(-5)*1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 454, 919, 1374, 1813, 2230, 2619, 2974?\n\"Answer: -s**3 + s**2 + 469*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1 + (-4 + 0 - 4)*(-3 + 2 + 2))*(0 + 0 + 3*g) - 3*g + g + g - 4*g + 4*g - g + (-1 - 5 + 4)*(-1 + 2*g + 1) - 1 + 1 - 2*g + 0*g + g + 0*g.\nAnswer: -37*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/136 and -28\/697.\nAnswer: 5576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 421097407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29345, -29348, -29365, -29402, -29465, -29560, -29693?\nAnswer: -29870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g**(-2)\/g)))\/g)\/g*g**12)\/(g**12\/(g\/g**(-18))) assuming g is positive.\nAnswer: g**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119936162 by -59968081.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s = -22*s - 250. Let p = s + 43. What is the tens digit of ((-6)\/p)\/(6\/546)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -3 - (3 + 0). Let w = 3 + -2. Which is the third smallest value? (a) 1\/5 (b) w (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22437039*p**3 + 329842*p**2 - p - 6.\nAnswer: 134622234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*g + 23 + 73 = 0, 0 = -q - 2*g + 32. Suppose -q*x - 3508 = -36*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -1624, 5, -1, 0, -17 in decreasing order.\nAnswer: 5, 1, 0, -1, -3, -17, -1624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkmm when four letters picked without replacement from lmlkmkqxkkklkmkkklm?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -8*o + 10404, 2*k - 95 = -109. Calculate the remainder when o is divided by 129.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 15 = -11. What is the remainder when 9 is divided by ((-1)\/(-3))\/(o\/48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**5\/20 - r**4\/6 - 5*r**3\/6 + 12*r. Let u(n) be the second derivative of s(n). What is the tens digit of u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 14232241110?\nAnswer: -14232241114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 40, 21, 0, -23, -48?\n\"Answer: -v**2 - 16*v + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177621004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**2 + 9*y - 8. Let r(x) = 5*x**2 - 10*x + 9. Let z(a) = 6*k(a) + 5*r(a). Let f be -5 + -9 + 54\/(-2 + 8). Let s be z(f). Solve g + s = -2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.038294 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -630794\/3823 or -165?\nAnswer: -630794\/3823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40c (base 13) to base 7.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.522304g in nanograms?\nAnswer: 4522304000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - 3 + 0 + 2*a - a to the form x*a + q and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -116*y**5\/5 - y**4\/2 + 148*y**3\/3 - 9*y + 242. Find the third derivative of k(p) wrt p.\nAnswer: -2784*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2668679934 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 287721 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v. Let l(z) be the second derivative of -z**3\/6 - 61*z**2 + 4*z. Calculate l(i(f)).\nAnswer: -f - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**2 - a + 2. Let p = -9215 - -9220. Let t(j) = -9*j**2 - 3*j + 5. Let u = -1 + -1. What is p*y(k) + u*t(k)?\nAnswer: -2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/10386 and -41\/12661688?\nAnswer: 113955192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90215*d - 153980 with respect to d.\nAnswer: 90215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002221012 (base 3) in base 15?\nAnswer: -66eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4333 + 47612?\nAnswer: 43257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 364847668*i*t**4 - 159525676*i*t wrt t.\nAnswer: 4378172016*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2045392675?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80367 - -5625797\/70. Calculate the common denominator of 59\/190 and h.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-1 - 7)) + 5 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, c: 6, b: 3}. What is prob of picking 1 u and 1 b?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885 is divided by 82.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 19?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(2\/9))*b**(3\/2))\/(b*(b**(-1)\/b)\/b*b)**(-43)*((b*b\/b**(-2\/9))**(-47))**(1\/20) assuming b is positive.\nAnswer: b**(-845\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieekixbbbkeixkixkei. Give prob of picking 1 i and 2 e.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1225917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214 divided by 1.\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*m**3 + 2*d*m - d + 39*m + 275 wrt m?\nAnswer: 6*d*m**2 + 2*d + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*r + (r - r + 2*r)*(8 + 6 - 8)*(11 + 0 + 0).\nAnswer: 130*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021332962 rounded to 6 decimal places?\nAnswer: -0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -7 + (1 - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 12:29 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22909804 is divided by 1857.\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/37926 and 67\/2.\nAnswer: 37926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1993007*m**3*y**4 - 382052057*m**3 - 40*m*y**4 wrt y.\nAnswer: 7972028*m**3*y**3 - 160*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -747, -1238, -1757, -2304, -2879?\nAnswer: -3482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*l = 1392, -3*p = 4*l - 1442 + 398. Suppose p = 9*d - 3*d. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 2*v**3\/3 - 6. Let o(w) = 8*w. What is o(s(x))?\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1089 - -4655. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 11*t**2 + 25*t + 14. Let q be u(13). Solve -4*y + 21 = q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, k: 3}. Give prob of picking 1 k and 1 s.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/(94 + (-117)\/(-12)*88\/(-66))?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*f = -22, 5*l - l = f - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*x - 40. Let o be 30\/x + (-7)\/28. Let u(t) = t**2 + 7*t + 5. Calculate u(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4505 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -27. Let c(r) = -1 + 4*r + i + r - 4. Suppose 5*h + 14 = -1. Let y(w) = 11*w - 7. What is h*y(l) + 7*c(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18307\/4 - -4602. Calculate the common denominator of 97\/4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32128 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 1\/3*v**3 + 0*v**7 + 0*v - 4\/5*v**5 + 0*v**6 - 1\/12*v**8 + 15*v**2 + 0*v**4 - 3. What is the third derivative of u(g) wrt g?\nAnswer: -1680*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13*g - 5*g - 7*g. Let a(i) be the second derivative of -i**4\/6 - i**2\/2 - 2*i. Let k(u) be the first derivative of a(u). What is -k(d) - 3*o(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34926205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*d = 962, -17*d + 641 = 2*m - 20*d. Calculate the highest common divisor of 22 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*m - 11309 = -432*m + 2366 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 40*t**2 + 39*t + 3. What is the hundreds digit of n(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4785)\/290*(-2)\/44\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u + 4*u + 2*u)*(9*u**2 + 6*u**2 + 10*u**2)*(-2 + 5 - 6*u - 2) - 2*u**4 + u**4 - u**4 as a*u**2 + q*u**4 + d*u + b*u**3 + w and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-60)*(-9)\/(-2) + 2. Let r(n) be the first derivative of 2\/5*n + 2\/5*n**2 + 0*n**3 + 1 - b*n**4 - 2\/25*n**5. Factor r(q).\nAnswer: -2*(q - 1)*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*g + 8, -3*f + 4*g - 16 = -4*f. Solve 5*p + 4 + 6 = f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54831.37 hours in seconds?\nAnswer: 197392932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -7) + -2 - (-129 - -143)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 2*s + 24*s)*(-1 + 1 - 2) to p*s + w and give p.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 5*g**2 + 5*g - 1. Suppose -8 = -2*m, -2*o + 0*m - 3*m + 20 = 0. Let w be y(o). List the prime factors of ((-2)\/(-6))\/(w\/45).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(3 - 28\/8). Let v(o) = 3 + y + 2*o + 0*o**2 - 1 + o**3 - 4*o**2. Let j(p) = p**2 + 3*p - 1. Let m be j(-4). Give v(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -40\/11 (b) -3 (c) 3 (d) 15\/7 (e) -3\/7 (f) 51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 88*o = -86*o + 7, -u + 4*o = -23. Sort u, 15, -2 in decreasing order.\nAnswer: 15, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3 = 18. Solve -h*x - 2*u = 15, -5*x - 5*u - 12 = 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -98*f - 1172. Let z be t(-12). Solve -7*k + z + 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 8*v - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343014221 (base 5) in base 11?\nAnswer: 1a70832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4) - (-288)\/(-128).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -13. Solve -3*u - g + 11 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13536 is divided by 4511.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o - 18906 = 13*o - 438*o + 168*o for o.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -34757\/122 != -286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43906183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 4. Let u be l(7). Let c = 9 - u. Solve -c - 4 = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 16) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**2 - 2*a**2 - 3*a**2 - 2 - 5*a. Let x be h(6). Suppose -4*s + 4*l = 5*l - x, 5*l = 0. Are s and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15430 - -3?\nAnswer: -15424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 1329.6.\nAnswer: 1329.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -3*q**4\/4 + 2*q**3\/3 + 3*q - 2. Let v be m(-2). Suppose 3*x = -4*x + v. Calculate the greatest common divisor of 45 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f**3*x + f**3 + 186*f**2*x - f*x - 2570*f + 6*x - 8 wrt x?\nAnswer: -3*f**3 + 186*f**2 - f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o = -33*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*j - 1210170. Let c(n) = 11505*n**3 + 2*n**2 + 2*n + 2. Let q be c(-2). Let m = q - j. Round m to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/95? (a) -1\/4 (b) 1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 - 5*t + 1 - 2*t + 0*t**2)*(t**2 - 2*t**2 + 0*t**2) in the form z*t + s*t**2 + f*t**4 + a + i*t**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-536)\/104 - -5)\/(-6 - 133\/(-91))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -12, 12, -4, 722, 0 in descending order.\nAnswer: 722, 12, 5, 3, 0, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-33)\/(-55) - 99\/15. Let h(c) = c**2. Let u(v) = 4*v**2 - v. What is w*h(p) - u(p)?\nAnswer: -10*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by (-4)\/(4 + (-80)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22247.\nAnswer: 22247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 8:53 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91938?\nAnswer: 2, 3, 7, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 3*g - 4*g + 882*g**3.\nAnswer: 882*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 22 (b) -3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 - -152?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**4\/4 - c**3 + 2*c**2 - c + 1. Let n = -440 + 437. Give f(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15104 divided by -3776\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 - 10*n**2 + 28*n + 59. Determine v(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 239, 232, 221, 206, 187, 164, 137?\n\"Answer: -2*k**2 - k + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13499*z + 3241 - 6468 + 3228 to the form m*z + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2270, 5500, 9704, 14882, 21034?\n\"Answer: 487*j**2 + 1769*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -15*b - 1. Let j = 0 + -1. What are the prime factors of c(j)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.049 - 18.573333.\nAnswer: -18.524333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/35? (a) -2 (b) -0.322 (c) -10 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 i, 1 t, and 1 k when four letters picked without replacement from {k: 1, s: 2, t: 1, l: 3, w: 3, i: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -23*d - 70. Is (d\/(3 + 4))\/((-3)\/16671) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 12:13 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -616 + 1201\/2. Which is bigger: h or -16?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -21*n**2 - 4*n + 8. What is h(3)?\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 2, p: 1, j: 2, m: 2, r: 7}. Give prob of picking 1 j and 1 m.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 465763 in increasing order.\nAnswer: -4, 4, 465763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420105?\nAnswer: 3, 5, 7, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 37 + 77. Let k be (-3)\/6*190*-1. What is the highest common divisor of k and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-6))**(-2\/29))**(-38) assuming i is positive.\nAnswer: i**(-380\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 1.3.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1.6, 1\/2, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*h + 83, -h + 2*c + 0*c + 64 = 0. Let d be 1 + -1 + -2 + h. Is 2 + 1 + d - 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4*u + 240, -32 + 7 = -5*u. Suppose 0 = 4*t - 150 - v. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 5*k + 7550 - 7564, 0 = 12*n - 5*k + 31 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 = -2. Suppose -2 = -2*x - 4*b, 0 = x - g*b - 2 - 4. Suppose k - x*z = 44, -k = z - 3*z - 43. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 706, 2431, 5792, 11335?\nAnswer: 19606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/4)\/((-10)\/(-8)) + 1134\/60. What is the fourth smallest value in s, -2\/3, -2, -6\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88279 is divided by 269?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1. Let m = -2 - 4. Let w(y) = -2*y**2 - 2*y - 6. Determine m*r(h) + w(h).\nAnswer: -2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 33\/2413 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 558, 1305, 2362, 3735, 5430, 7453?\nAnswer: 9810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/42 and 32\/783.\nAnswer: 10962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 - 6*t**2 - 2*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191317529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 4*q - 3 = b, -14 = q + 3*b. Let d(z) = 11*z - 1. Let t be d(1). Let g = t - 8. Sort 3, g, q in ascending order.\nAnswer: q, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8138.63 to the nearest 10.\nAnswer: -8140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.06 (b) -0.1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-255)\/(-68) + (-1)\/(-4). Let b be (-224)\/(-40)*10\/c - 4. Solve -5*f + 22 = -3*d, -4*d - 28 + b = -f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 6*y + 6. Let s be o(8). Suppose -70 = -n - n. Suppose c - n = 20. What is the greatest common divisor of c and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**5\/210 + 323*a**4\/42 + 104329*a**3\/21 - 20*a**2 - 7*a. Let j(i) = 0. What is i?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -1, -5 in decreasing order.\nAnswer: 8, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 + 0.4. Let i(n) = -2*n - n**3 + 4 + n - 8. Let j be i(0). What is the closest to 1 in l, j, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5 - 2647*g**4 + 281067*g**3 - 11310025*g**2 + 201985000*g - 1348312500 = 0. What is g?\nAnswer: 25, 34, 2538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s = 111 + 9. Sort -3, s, 9 in increasing order.\nAnswer: s, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 + 5*r + r**3 + r**2 - 3*r**2 - 7*r - 1 to f + o*r**3 + g*r**4 + p*r**2 + n*r and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4015 and 2145.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 481?\nAnswer: -5\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -16 + 31 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1289*z**2 - 642*z**2 - 646*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -399100 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -4, 4, -501?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -0.3 (c) -5\/3 (d) -2\/17 (e) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from kmaakmaaaata.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 5. Let c be s(-5). Suppose -4*t = -c*t - 20. Let j = -0.2 + 0.3. What is the biggest value in t, 1, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7728\/138)\/((-42)\/(-48))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 6:01 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 7*r**2 - r + 4. Let o be j(7). Let c = o - -6. Suppose m = -2*m + c*t + 57, 2*m = 5*t + 38. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 22*m + 6. Let o(f) = 25*f + 7. Let q(a) = 6*k(a) - 5*o(a). Suppose -1 + 5 = 4*l. Suppose -7*p + 8*p + l = 0. Determine q(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 - 15*f**2 - 6*f + 11. Let h be w(-7). Solve 0 = 2*x - q - 2, h*q = x - 0*q - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267482220.\nAnswer: 2, 3, 5, 73, 173, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -31, -0.1, -68\/97, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008)*1 + 2)*-3)**2*-3 - ((sqrt(7) - (1 + sqrt(175))) + sqrt(7) + 3*sqrt(63) - (sqrt(7) - sqrt(252)*2)*-6).\nAnswer: -27323 - 1236*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.19 - 0.61. Let w = 7.566 + t. What is w rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/6)\/x)**37\/(x**(8\/5)*(x**(-1\/8)\/x)\/x))**44 assuming x is positive.\nAnswer: x**(-7447\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*w - 5*v, -3*v - 9 = -2*w + 8. Is 3\/(-6)*(-88)\/w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5399, 21680, 48831, 86846, 135719, 195444?\n\"Answer: -d**3 + 5441*d**2 - 35*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -11. Suppose -3 = -5*g + s. Solve -g*c + 2 + 0 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 l, and 2 f when four letters picked without replacement from fdfazkl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/18625354 and -7\/54182848.\nAnswer: 596011328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**5\/5 + 21*u**4\/5 + 34*u**3\/5 - 84*u**2\/5 - 152*u\/5 = 0.\nAnswer: -19, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 448 by -112.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 + 0 = 0. Let i(m) = 1 + s*m - m + 3*m**3 - 6*m**3. What are the prime factors of i(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23964153 and 78822?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/4*(4 + -2). Let w(s) = -7*s - 10. Let x be w(q). Suppose -c = -x - 218. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44076958?\nAnswer: 2, 22038479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 965.0626m to kilometers.\nAnswer: 0.9650626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 727 - 5?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3552?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 704606369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a meter in millimeters?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(2*7\/56)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -105 and 3.765.\nAnswer: -395.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.265 + 1.335. Which is the second smallest value? (a) 5 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3993575195.\nAnswer: 5, 47, 16993937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2592511 divided by -523.\nAnswer: 4957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 18*f**2 + 21*f + 56. What is w(-19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -17. Let q = -11 + t. What is the units digit of (2\/q)\/(4\/(-56))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 446.4441 times 6\nAnswer: 2678.6646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -495, -511, -539, -585, -655?\n\"Answer: -t**3 - 9*t - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**3*u**4 - 1018*m**3 + 1427*m*u**5 - 2*u**2 wrt u?\nAnswer: -96*m**3*u + 85620*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5\/5 - 19194*o**4\/5 + 8189439*o**3 - 29154368724*o**2\/5 + 58185972624*o\/5 - 29072531904\/5 = 0 for o.\nAnswer: 1, 2132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5054709+-0.0696347\nAnswer: -5054709.0696347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 5*b**2 - 14. Let n be x(-3). What is the highest common factor of 7544 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 5, -2\/209, -4, -0.17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -16701051 and -16701050 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3906650 to the nearest integer?\nAnswer: 1977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x - 15 = 55*x. Let r be ((-738)\/(-20))\/x*(-39)\/18. Let i = r - -73\/4. What is the common denominator of -61\/3 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -90*d**4 + 106980*d**3 - 64113305*d**2\/2 + 315240025*d\/2.\nAnswer: -5*d*(d - 5)*(6*d - 3551)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 327240 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2. Let k(a) = 306*a**2. What is k(v(t))?\nAnswer: 4896*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i - 18170 = 20*i. What are the prime factors of i?\nAnswer: 2, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48928 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-88)\/(-170) + 14\/(-35). Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 111, 16, -79, -174, -269, -364?\n\"Answer: -95*v + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t + 2675. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/2)\/11*8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/4*-6*(9 + 2317\/21) is divided by 74.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpl when three letters picked without replacement from llllpgggl.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -703, 5, 0.3, -1?\nAnswer: -703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4638763.9 to the nearest one thousand.\nAnswer: -4639000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3 = -3*l, -2*r + 4*l - 3*l = -3. Suppose -216 = -r*o - o. Let i = -11 + o. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 at least as big as -3130\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:23 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -111101111010?\nAnswer: -111101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1590.4 + 884867076\nAnswer: 884868666.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l + 31. Let c be h(-7). Suppose -79 = -c*a - 22. Suppose 3*t - 143 = -5*d, -d - t = 2*t - a. Calculate the highest common divisor of d and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(2*sqrt(9)) + -2.\nAnswer: -2 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 73 + 2*w**2 + 33 - 4*w**2.\nAnswer: -2*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 9*w**2 + 3. Let f be a(9). Suppose y - 19 = -5*j + 5, j - f*y = 8. Put j, 2, 4, -5 in ascending order.\nAnswer: -5, 2, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)\/q)**(-33) assuming q is positive.\nAnswer: q**99","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 + 167. Suppose 49 = 2*q + 5*o, 3*q - i = 2*o + 33. Calculate the highest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 3*w + 14. Let p be l(2). Suppose 5*f - 1186 = -p*c, 3*c - 887 = -5*f - 0*f. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 5:14 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4201)\/2*(0 + 1 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 22099080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -362 greater than -2171\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13522951 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(105\/(-70)*27\/2)*-3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from vimviivmmmmimvivmm?\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*z + 5*x, -14 = -3*z - x - 3. Suppose -4*k + t + 323995 = 0, 0 = 4*k - z*t - 452723 + 128738. Round k to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13.8 in -0.3, 4, 28668?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/10 - (-8)\/20. Let n = 51.31 + -54.1. Let w = 0.21 - n. Which is the third biggest value? (a) s (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**3 + 2*s + 1. Let g = -18 + 17. Let f be h(g). Suppose 0 = 4*d + f + 17. Which is greater: -6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + 4*k**2 - 4*k**2)*(-4 - 2*k + 4)*((-88 - 109 + 54)*(5*k - 2*k - k) - 21*k - k + 5*k).\nAnswer: 606*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/10))**(-1\/4)*o**(-3\/2)*o*o**(-22) assuming o is positive.\nAnswer: o**(-901\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 o when three letters picked without replacement from {p: 3, o: 2, y: 1, u: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51 - 4?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -7*g + 3*g + 224, 0 = 5*g - d - 280. Suppose -k + g = 7*k. Find the second derivative of -2*o**2 - o**3 + k*o + 2*o**2 + 7*o wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 198434081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*b - 3*b. Let o(y) = -y**3 + y**2. Let n(w) = 4*w**3 - 9*w**2 - 3. Let l(u) = b*n(u) + 3*o(u). Calculate l(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -130, -158, -138, -52, 118, 390?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6913397.\nAnswer: 19, 29, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/(p*p**8*p)*p)\/p**(16\/9))**(3\/2))**(-23) assuming p is positive.\nAnswer: p**(805\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3747 (base 12) to base 11.\nAnswer: -476a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35237207?\nAnswer: 35237207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 3)*(1 + f - 1)*(0 - 2 - 1) + 2*f + 2*f - 2*f + 8*f + 50*f - 2*f + (0 - 1 + 3)*(f + 1 - 1).\nAnswer: 69*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29021 is divided by 2394?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, -185, 4, 139, -10, -2?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**6\/120 - h**5\/5 + 2*h**4 - 32*h**3\/3 + 5*h**2 - h. Let m(p) be the first derivative of y(p). Factor m(z).\nAnswer: (z - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, i: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 317379341 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 2:53 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 7:58 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24551252 (base 6) to base 13\nAnswer: 219758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*j - 930 = -920, 4*q - 4*j + 32 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.68354g in tonnes?\nAnswer: 0.00000768354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.307 - 0.307. What is the second biggest value in -5, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4070 divided by 1?\nAnswer: 4070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9117 - 4771 = -7*h. Calculate the greatest common divisor of 31 and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c**3 + 12*c**2 - 52*c - 408. Give f(-6).\nAnswer: -1392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1379791.\nAnswer: 7, 29, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232040 is divided by 1423.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - 9*f - 5. Let y(r) = r**2 - 5*r - 3. Let v(h) = -41 + 78 - 2*h - 37. Let k be v(-2). Determine k*g(c) - 7*y(c).\nAnswer: c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 6*l**2 - 7*l + 5. Let y be f(4). Let z be ((-1)\/2)\/((-1)\/(-26)). Let p = y - z. Calculate the least common multiple of 6 and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 at least as big as 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24864 divided by -42?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 12, 4, 938 in ascending order.\nAnswer: -5, 3, 4, 12, 938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**8\/196 + 16*z**7\/735 - 2*z**5\/21 - z**4\/14 + 4*z**3\/21 - 77*z**2 + 2*z. Determine f, given that b(f) = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 31, -1\/8, 0.4?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -340234312 (base 5) in base 10?\nAnswer: -1493082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 21\/12 - -1. Let m be 30\/(-55) - (-3200)\/4576. Which is the smallest value? (a) m (b) s (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6 + i**3 + 254*i**2 - 254*i**2 - i. Suppose 0 = 2*q - 3 + 1. Let t(z) = -z + 1. Let r be t(q). Give u(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 31 in decreasing order.\nAnswer: 31, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p - 6. Let g(j) = -18*j - 16. Let s(z) = -3*g(z) + 8*x(z). Let y(v) = -3*v + 21. Determine s(y(l)).\nAnswer: 6*l - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123\/133 + -15184\/6783. Let a = 1\/161 - 206\/483. Find the common denominator of a and j.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d + 135. Calculate m(28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 1\/3 (c) 1 (d) -0.223 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8172\/(-14301))\/((-20)\/(-658)))\/((-4)\/10)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3) + (-6)\/(-9). Let b(o) = -3*o**3 + 7*o**3 + 17*o**3 + r - 3*o**3. Let s be b(1). Solve 3*j + 9 = -4*p, 6*p = 4*j + p - s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -39\/10 (b) 4 (c) 3\/4 (d) -5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 1. Let g(f) = -f**2 - 9*f - 9. Let o be g(-8). Let d be x(o). Differentiate -s**2 + 0*s**d + 0 + 2 with respect to s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 85*p + 0*p + 52 + 3. What is the units digit of n(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*y + 428, -5*h + 716 = -0*y - 2*y. Let u(r) = r**2 + 24*r - 76. Let q be u(4). Calculate the greatest common divisor of h and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (1 - (3 - (-2 - -8)))) + 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/5 + 157546*s**2\/5 - 63016*s - 1260352\/5 = 0. What is s?\nAnswer: -2, 4, 157544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/91 - -18\/91. Let z be 352\/(-26) + 3766\/269. Factor 6\/13*q - z*q**2 - 2\/13 + u*q**3.\nAnswer: 2*(q - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -29*h**3 - 9*h + 5. Let v(l) = 43*l**3 + 14*l - 8. What is 8*j(b) + 5*v(b)?\nAnswer: -17*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**7*(((f*f**(-4))\/f)\/f)\/f)**(-24) assuming f is positive.\nAnswer: f**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1972 and 5408380?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1549*t + 1956 = -1712*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2696*i - 62025. Calculate l(23).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 8*p - 7 + (4*p - 5*p - p)*(-1 + 0 + 0) + 656*p - 385*p + 523*p in the form b*p + x and give b.\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*o*v**5 + 343*o*v**4 + 1123*o*v**2 + 2*o*v + 4*v**2 wrt v.\nAnswer: -1260*o*v**2 + 8232*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -22*b - 101. Let y be w(-11). Suppose 6 + y = o. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0231625732 rounded to 5 decimal places?\nAnswer: -0.02316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21*(0 - 1 - 0). Let h be 13\/(-1) + 29 + -38. Let c = l - h. Calculate the lowest common multiple of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/270699 and 35\/275418?\nAnswer: 173788758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**5\/30 + 4*m**3\/3 - 13. Let a(t) be the third derivative of z(t). Let y(h) = -h + h**2 + h. Determine y(a(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 - 16 - 22*m + 23*m)*(-2 + 0 - 2) to k*m + d and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -61, -70, -93, -136, -205, -306?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/45 - (-1113)\/(-5). Suppose 2*a - 5*i - 731 = 0, -5*i + 844 = 2*a + 83. Let z = a + h. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 6 (c) 759 (d) -80 (e) -3\/4 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 - 2) - (-7 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:06 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5864 times -38\nAnswer: -222832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*j**2 + j**3 - 19*j + 237*j**2.\nAnswer: j**3 - 19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 20 = -2*h. Suppose -4*z = -5*z + h. Solve 3*r + p = -r, -4*r = -z*p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/703 and -27\/95.\nAnswer: 3515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 165, 4, -54, -2 in descending order.\nAnswer: 165, 4, -1, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, 2, -24 in decreasing order.\nAnswer: 4, 2, -13, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a. Let v(y) = -9217*y**2. What is v(s(p))?\nAnswer: -230425*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*h - 5*a, -a + 106 = -5*h + 102 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llxxexllllxlxxe. Give prob of sequence lex.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2188?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2331.036 months to centuries.\nAnswer: 1.94253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47.2 + 39. Let w = u + 8.7. Suppose 3*y + 14 = 104. What is the closest to y in -1, 0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 7*c + 15. Let y be 12\/(7 + c) + -1113. What is y rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6865 <= -6878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/4 + 2 - 1617\/(-154). Solve -2*s = 0, -6*k - 10 = -l*k - 5*s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-1*6 - sqrt(156))\/(sqrt(108)\/(sqrt(18)\/sqrt(2))).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 4. Let a(n) = -n - 2. Let f(v) = 2*a(v) + h(v). Let j(l) = -8*l**2. Calculate f(j(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(30\/24)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2396243056?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1fb7 (base 16) in base 15?\nAnswer: 2614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1875*b**2 + 24878*b**2 - 702*b**2.\nAnswer: 22301*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -663*o + 84*o + 13621 + 14750 for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -12, -2*i + 4*i + 30 = 5*a. Let p be (6 + i)*1\/1 - 3. What is the common denominator of 4\/(1056\/(-222)) - (1 + p) and -61\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*a + 1097 = 209. Let o(r) = -r**3 - 4*r**2 - 2*r - 6. Let w be o(-4). Suppose -13 = w*v - 53. Calculate the remainder when v is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26014611 (base 7) to base 15.\nAnswer: -3185c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + (sqrt(847) + -1)*6)**2 - (1 + sqrt(847) - sqrt(847))*2) + ((1 + sqrt(847))*6*-4*-2)**2.\nAnswer: 49764*sqrt(7) + 1995329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -14 - -4 - (0 - 3)) + -1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 386\/3 + -130. Sort 3, 2, l in decreasing order.\nAnswer: 3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -275*j + 1 + 79*j - 1 - 111*j to the form q*j + s and give q.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**6\/120 + 7*i**5\/120 - i**4\/8 + 2*i**3\/3 - 6. Let k(r) be the third derivative of t(r). What is the tens digit of k(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 158.08597 and 0.1470024?\nAnswer: 157.9389676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*o**4*t**2 - 1635534*o**4 + o**3*t - 1804865*o**2 + 7*o*t**2 wrt o?\nAnswer: -240*o*t**2 - 39252816*o + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*t + 7, 2*q + t = -1. Suppose q*x = -27 + 7. Let a = -16 - x. Does a = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 1171165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r. Let v(p) = 17*p + 2398. Determine f(v(c)).\nAnswer: -51*c - 7194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k - 93. Let j be s(11). Let q(g) = 23*g**2 + 6*g - 14. Is q(j) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/44 and 107\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - 5*s - 2. Let d be h(4). Suppose 0*o + d = 3*o - r, 0 = 2*o + 3*r - 32. Let p = o - 2. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 8:34 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*f + 0*f - 3*f)*(447*f + 85419 - 85419) + (-f + 2*f + f)*(-6*f + 5*f + 0*f) + f**2 + 0 + 0 as t + z*f + a*f**2 and give a.\nAnswer: 1340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.2 (c) 102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 53.885803+6697936\nAnswer: 6697989.885803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 0*j**3 + 1 - 3*j**2 + j**3 - 2*j**3. What is the units digit of h(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-70) + (-46)\/(-14). Suppose -4*h - p = -19. Solve 5*j - h = -4*s, 2*j + 1 + 3 = 4*s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -298990, -298980, -298970?\n\"Answer: 10*b - 299000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*w + 1239 = -114*w. Let z = 192 + w. Calculate the highest common factor of 255 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n**4 + 1126*n**2 - n - 531*n**2 - 425*n**2 + 2 to u*n**3 + z*n**2 + x*n**4 + i*n + d and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t - 3. Suppose 4*z = 3*z + 13. Let u = -7 + z. What are the prime factors of g(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 3:10 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 274, -6, 3, -5 in decreasing order.\nAnswer: 274, 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6242*i + 6244*i - 2*y - 8, 0 = 2*i - y - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - j + 42. Is p(6) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 7.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 460579 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4812697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -196844*t**2 + 283760*t - 2 wrt t.\nAnswer: -393688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1030000111 (base 4) to base 7.\nAnswer: -2434426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -y + 14, -10*o + 2*y + 1406262 = 1406250 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1450\/3237 - 1\/83. Let y = w - -3\/13. What is the nearest to y in 1, 2\/3, 0.02?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1565252, 6261040, 14087350, 25044182, 39131536, 56349412?\nAnswer: 76697810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288046?\nAnswer: 2, 11, 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 0, -126857, 2 in decreasing order.\nAnswer: 2, 0, -65, -126857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 13*u - 30*u + 6*u + 7*u + 2*u. Let v(b) = -10*b - 4. Determine k(v(z)).\nAnswer: 20*z + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 166 - 26 = 0. Suppose 0 = -5*p + a, -x - p - 3*p = -20. Solve -3*y - 4*i + 10 = 0, -x*y + i = 5*i - 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2949*((-55)\/315 - 0). Let f = q - -515. Put 4, 0.2, f in ascending order.\nAnswer: f, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in -1, 2, 227.5, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - ((27 - (24 + -18)) + -12).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.018 + -0.082. Let w be (-1)\/(-2)*2\/(-3). Which is the nearest to i? (a) 5 (b) w (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096512 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.2 or 37.7707?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2005, -4132, -6235, -8314, -10369, -12400?\nAnswer: -14407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/30 and -151\/72954.\nAnswer: 364770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9*-9689\nAnswer: 87201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 14*y**3\/3 + y + 200. Calculate u(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4742195963\/16244124 + 940586\/3359. Let q = 4\/1209 - b. Calculate the common denominator of -19\/4 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7917.764 litres in millilitres?\nAnswer: 7917764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -2*v - 25. Solve 0 = -2*o + 3*o + v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 11:18 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 3, 6, 1\/6, -117208?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u - 193*u**2 + 1 - 13*u**3 + 193*u**2 - 18*u.\nAnswer: -13*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3 - 45. Calculate the smallest common multiple of 80 and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wewwedkdeweeexwew. Give prob of sequence we.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 2:02 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/39985 or 1?\nAnswer: 2\/39985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + -3.05. What is the nearest to 1\/7 in 0.3, 2\/7, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1428 and 1281?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Suppose p - 2*m + 3 = z, m = -4*p + 28. What is the third derivative of -6*w**6 - 36*w**2 + 0*w**p + 46*w**2 wrt w?\nAnswer: -720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(832) + 2 + ((sqrt(520) - sqrt(520)*-1 - sqrt(520))\/sqrt(10) - sqrt(52)).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 4. Let k be o(3). Suppose 5*t + 3 = -7. Let r be 21\/(-66) + t\/(-4). Which is smaller: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44\/5? (a) 5 (b) 0.5 (c) -917\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -15*w + 212. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5984 is divided by 996.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 95*b + 2080.\nAnswer: -5*(b - 13)*(b + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1573\/(-104) - -3*14\/3.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 5808.\nAnswer: 1\/484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.5, -660283, -1\/2?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -2*u - 12, 82*t - 71*t - 17 = -u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 9:31 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 r when four letters picked without replacement from dddddddddddrrddddd?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -3, 3, 0.4, -4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*u + 926*u - 27 + 27 in the form p*u + g and give p.\nAnswer: 1073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1876.4 - -1876. Suppose -3*g = 5*k - 3*k, 3*g + 4*k = 0. Let v = -19 + 58\/3. Which is the nearest to g? (a) 5 (b) o (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57259067?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7778 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let t = -2690 - -2720. Suppose -5*a + 163 + 142 = 0. Let p(x) = -t*x - a*x + 114*x. Calculate p(r(y)).\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8 = 3*q - 4*q, -4*n = -20. Let x = 37 - q. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 111 = -20. Let p = -3021 + 3023. Solve 3*t = k - i, 2*k + 2 + 4 = -p*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-480)*9)\/((-36)\/(-90)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 67. What are the prime factors of r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -571*s + 123. What are the prime factors of o(-5)?\nAnswer: 2, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - (-500621)\/99) + (-6)\/(-27) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22221010012 (base 3) to base 12\nAnswer: -8587b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**3 - 65*z**2 - 102*z + 75. Let r be d(34). Solve -4*i - r = 21*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91328868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 114672, 230406, 346140, 461874, 577608?\n\"Answer: 115734*f - 1062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205129731.\nAnswer: 3, 29, 2357813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 4*p = 11*y + 36, 4*y + 24 = -p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 451114 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18156.\nAnswer: 2, 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 378 or 380?\nAnswer: 380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (3 + -1*sqrt(304)))**2.\nAnswer: -48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/9 - 10*w**2\/9 + 26*w\/9 - 14\/9 = 0 for w.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*m + 5269 - 5143 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:34 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*(-27)\/(-36)*-1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2921 and 276.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 316*w + 314*w + 285*w - 913*w. Let d(q) be the third derivative of -89*q**4\/24 - 2*q**2. Give d(y(r)).\nAnswer: -178*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 33, 13, -25, -87?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -308122*k**4 - 55783*k**2.\nAnswer: -7394928*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -17*j + 30*j - 14*j. Let v(z) = 6*z. Let f(r) be the third derivative of 25*r**4\/24 + 4*r**2. Let d(l) = 6*f(l) - 26*v(l). What is h(d(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/13815 and 23\/249?\nAnswer: 1146645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) -1 (c) 1932\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(165) - -1*(1*sqrt(165) - sqrt(165)))\/sqrt(3))\/(2*sqrt(80)*3*4).\nAnswer: sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -29. Let z = o + 5. Which is bigger: 2\/37 or z?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10312023 (base 4) in base 5?\nAnswer: 1113401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 - 12*x - 24. Let o be w(17). Is 20 a factor of 72\/(-15)*o\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 50.6 and 155.47.\nAnswer: 7866.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2228955.2 to the nearest ten thousand.\nAnswer: 2230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*h - 1851, -2*w - 3*h - 2*h = 1227. Let l = w + 440. Is 11 a factor of 3\/2*l\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (3\/3)\/(11663478\/777564 + -15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c + 8 = 0. Solve -c*m = -2*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.1, 6, 51\/11, 2\/5 in descending order.\nAnswer: 6, 51\/11, 0.5, 2\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 3*m - 1. Suppose -67*j = -15*j - 43940. Suppose -j + 839 = 3*g. Calculate o(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 645*z**2\/4 - 20315*z - 315 = 0.\nAnswer: -2\/129, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*r - 607 - 56. Let c = r + 98. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n + 116. Let c be g(-11). Suppose -9380 = -c*j - 22*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 640, -1\/2, 1 in ascending order.\nAnswer: -1\/2, 1, 640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 1161685193?\nAnswer: -1161685193.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**3 + 3*v + 4. Suppose -z = -4*q + 6 + 9, -13 = -2*q - 5*z. Let j(i) = 5*i**3 - 4*i - 4. Let r(s) = q*p(s) + 3*j(s). Differentiate r(c) wrt c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -438163*c**2 + 321595?\nAnswer: -876326*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from lbillblbhpiiyb?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.048\nAnswer: -0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -19*i**3 + 166*i**2 - 12*i + 15. Let z be y(9). Is -495 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -9*b + 87. Calculate the remainder when b is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 4:01 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**4 - 7149*w**3 + 464*w**2 + 4*w + 17 wrt w?\nAnswer: 24*w - 42894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16919593829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 take away -2639454.98?\nAnswer: 2639398.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*g = -3588, 25*g - 29*g = -5*a + 17982. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2 + 306666*o - 919971 = 0.\nAnswer: 3, 102219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000101001111 (base 2) to base 15.\nAnswer: -627a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 220 + 752 = 0. Let q be 282\/y - 6\/27. Let t(l) = 2*l - 4. Calculate t(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5\/3, 2, -2\/7, -426 in descending order.\nAnswer: 2, 5\/3, -2\/7, -3, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/28)\/(9\/21). Let y = -16 + 16. Which is the nearest to 0? (a) 7 (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25316381 times 5\nAnswer: -126581905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114756 is divided by 172.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 - (7 + (11 - 10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 31.093. Let q = -0.0930051 + n. What is q rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 0*o**5 - 2*o**5 + (2*o - 4*o + 3*o)*(-o**4 - 1 + 1) + 0*o**5 - 2*o**5 + o**5 + 23*o**2 - 30*o**2 + 28*o**2 - 3*o**5.\nAnswer: -8*o**5 + 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 42.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(3\/17)*z*z**32*z)\/(z**(-5))**(-3\/22) assuming z is positive.\nAnswer: z**(13275\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -104*h + 251. Let o(p) = -52*p + 126. Let l(j) = 5*o(j) - 2*q(j). List the prime factors of l(-21).\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 a factor of 2625185655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443306 to the power of 1\/2, to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 562 + -554. Let i = -0.03 - -0.33. Let b = -0.1 + i. Is j less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/((-3 - -6) + -1). Let n = -53 - -58. Which is the fourth biggest value? (a) r (b) -3\/5 (c) n (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/2445 - 8128\/26895. Let v = f + -4\/11. Let m = 90\/11 - 821\/99. What is the nearest to -0.1 in -0.1, m, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*n = -459 + 533 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i**4 - 5048*i**3 - 10736*i**2 + 116960*i + 34176 = 0 for i.\nAnswer: -178, -6, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 7*x**2 + x + 7. Let i be z(-7). Let c be 0\/(1 - (3 - 1)). Suppose b + c*b - 371 = i. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 998303*g**5 - 62*g + 1437 wrt g.\nAnswer: 19966060*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/93555 and 45\/2387.\nAnswer: 2900205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**4\/12 - l**3\/3 - l**2\/2 - 4*l. Let p be f(3). Put 5, p, -4 in increasing order.\nAnswer: -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwgwrrwgrrrwrggwrwrr. What is prob of picking 1 r, 2 g, and 1 w?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 equal to -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5874471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 6. Let a be o(3). Calculate the common denominator of (-200)\/66 - (-2)\/(-6) and 1\/a + (-160)\/(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 2940.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(0 - (-2)\/(-8)). Let x(h) = -15*h**3 - 1. Let u be x(1). Let t be u\/3 - (2\/3 - 1). Which is the third smallest value? (a) 1 (b) d (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1154*a - 711. What is the hundreds digit of b(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - 342?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 7. Is 7 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u - 10. Let z be v(5). Suppose z*k - 95 = 25. Suppose -32 = -3*x + 34. What is the smallest common multiple of x and k?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3\/3 - 15*h. Let u(d) = 12*d. Determine u(z(y)).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 5*n**2 - 6*n + 2. Let l be g(-6). Suppose 2*x + 6 = -q + 85, -l*x = 2*q - 78. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j + 3*j)*(5*j**2 + 0*j**2 - 2*j**2) + (2*j**2 + 0 + 0)*(j - j - 2*j) + j**3 - 2*j**3 + 3*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 355 - 6344*v**2 - v - 118 - 119 - 118 to j + l*v + c*v**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1522, -2896, -4258, -5602, -6922, -8212?\nAnswer: -9466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**4\/4 - 5*a**3\/6 - a**2 - 36*a. Solve o(y) = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*k = 13, -3*b - 2*b = -3*k - 1. Suppose -2*y = -2*g + b*y + 230, 2*g + y = 240. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, x: 3, a: 5}. Give prob of sequence ax.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 6*n**2 + n - 4. Determine a(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -463 + 469. Sort -2, -1\/7, p.\nAnswer: -2, -1\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4142 and 760.\nAnswer: 82840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*d - 2322 = 218*d. Suppose 39 = h + 3*q, -35 = -4*h + 3*q + 61. List the prime factors of -6*30\/h*d\/(-4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -38854711, -77709420, -116564129?\n\"Answer: -38854709*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p - 35. Let r be g(10). Suppose r*q + 238 = -32. List the prime factors of q\/(-36)*380\/6.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + (1 - 2 - -3). Suppose -4*i = s + 7. Is (i\/(-6))\/(10\/705) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 1\/6*t**3 + 1\/20*t**5 - 3\/2*t**2 + 0*t**4 + 4*t + 0. What is s(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1318*w**2 - 2688*w**2 + 142 + 1371*w**2 + 32.\nAnswer: w**2 + 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*-161*98\/2254\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 7*q + 5. Let a be d(6). Let h(y) = -33*y**3 + y**2 + y + 1. Let c be h(a). Calculate the least common multiple of c\/4 + (-1)\/2 and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13285638 + -66.\nAnswer: 13285572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9075571.4 rounded to the nearest 10000?\nAnswer: 9080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998122.075 rounded to the nearest 1000?\nAnswer: 1998000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7136 - -90.13230639\nAnswer: -7045.86769361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 2:19 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57043965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 + 151\/2. Is n less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c - 480 = -36*c. Let q = 101 - c. Suppose -424 = -5*s + q*g - g, -2*s + 3*g + 171 = 0. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.27 - -701876624.\nAnswer: 701876623.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22, 38, 64, 100, 146?\n\"Answer: 5*w**2 + w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v = -16*v. Suppose 154 = -v*s + s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 114*i**2 - 12*i + 30. What is the units digit of k(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o + 4. Let k(j) = j - 1. Let d(b) = 2*b - 2. Let l(z) = -3*d(z) + 5*k(z). Let t(p) = -g(p) - 3*l(p). What is the tens digit of t(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 497, 1117, 1985, 3101, 4465, 6077?\nAnswer: 7937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19\/21? (a) 2 (b) 0.9 (c) -0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1415675mm to micrometers.\nAnswer: 141.5675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a**2 + 235918*a\/11 - 948248\/11 = 0. What is a?\nAnswer: -118531\/143, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - 550 = -122*y. Solve 0 = b + y*x + 3, -2*b + 3*x - 6 = -13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2480)\/775 - (-93)\/(-10))*-2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -24, 10, -19\/60.\nAnswer: -24, -19\/60, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 5*h + 2*h**2)*(76*h + h**3 - 7*h**3 - 80*h).\nAnswer: -12*h**5 - 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (4 - 2)) + 2 - (-5 + 67)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -10. Suppose j = 4*a + s + 11 - 41, -3*s - 22 = -4*a. Solve 0 = z - 2 + a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 8*o**2 - 9*o + 33*o + 6*o + 27 to the form a*o + c*o**2 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2531, -3065, -3955, -5201, -6803, -8761, -11075?\nAnswer: -13745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -4*z**3\/3 + 5*z**2\/2 - 5*z - 14. Let g(o) = -6*o + 0*o + 5*o**2 + 3 + 3. What is 4*c(r) + 3*g(r)?\nAnswer: -r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*t = -108*t + 5, -2*r - 2*t = -38. Let i(q) = q - 27. Determine i(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -8. Suppose k*c + 14 - 6 = 0. Sort 5, c, -3 in ascending order.\nAnswer: -3, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (196\/(-32) + 2\/16)*-8. Let q = h + 408. List the prime factors of q.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*f - 47867 + 40153 = 0 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 3*k + 3. Let n be ((-44)\/33)\/(2\/3*-1). Calculate c(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.977858km to meters.\nAnswer: 8977.858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**4\/4 - u**3\/3 - 7. Give y(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 23*k**2 - 48*k - 47. Calculate m(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*v = -2*c - 106*v + 18, -17 = -3*c - 2*v for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2.6. Let p = f + -1. What is the third biggest value in 2, p, 2\/15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 6*d - 4. Calculate j(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1236 and -55\/38604?\nAnswer: 3976212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21599 - 21600. What is the closest to x in 0.5, 3\/5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9401.2 + 21448.1. Round o to the nearest one hundred.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107 (base 13) to base 15.\nAnswer: bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-52)\/16*(24 + -4). Let t = 71 + -174. Let q = u - t. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21342.\nAnswer: 2, 3, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2862 and 475347?\nAnswer: 453481038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -54145 (base 7) to base 12\nAnswer: -7957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -513 - -586. Are n and 218\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 430 = -4*h + 379, 3*h + 19 = j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-24)*((-30)\/1 + (293 - 283))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(832) - sqrt(78)\/sqrt(6)*-2) + 3.\nAnswer: 3 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5625, -5585, -5545, -5505, -5465, -5425?\nAnswer: -5385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 2446067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3160 and 7505.\nAnswer: 60040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c - 35*c + 9*c + 1 + 12*c + 6*c. Let v(z) be the first derivative of -5*z**3\/3 - 10*z**2 + 20*z + 3. Calculate 20*u(d) - v(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(250)\/sqrt(5))*-1 - (sqrt(198)*-2 + sqrt(198))\/(sqrt(11) + (sqrt(11) - (2*sqrt(539) + sqrt(539)))))**2.\nAnswer: 980*sqrt(2)\/19 + 28233\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6139\/345 - 89\/5. Let y = -931\/17940 + n. Let k = -2123\/156 + y. Calculate the common denominator of -62\/5 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2455 and 8?\nAnswer: 19640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, p: 1, c: 3, e: 1, m: 7}. Give prob of picking 1 c, 1 e, and 1 m.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 19 - 19 - 3*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66225 and 6003517?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 10 = 0, l - 110 = 2*q - 3*l. Let m = -300 - -79. Let n = q - m. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxxxxxxxzxx. Give prob of sequence xxx.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/l**(-1\/3))\/l))\/l)**(-37)\/((l**(-1\/5)\/l)\/l*l\/l**(-6))*(((l\/(l*l**0))\/l)**11)**(-1\/63) assuming l is positive.\nAnswer: l**(2428\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 185\/3*((-3690)\/(-16400))\/((-3)\/(-8))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 331819771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Add -179.133 and -5.\nAnswer: -184.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovvuototouvttv. Give prob of picking 2 v and 2 u.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 222210122211 (base 3) in base 8?\nAnswer: 2006274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/840*-12*(-14)\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.42955642 + -9.156112. Let q = 0.00153848 + c. Let f = -0.275 + q. Round f to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 8. What is the highest common divisor of 108 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440669 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1246.\nAnswer: 2\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620*l = 2*h - 619*l + 5, 5*l + 13 = -6*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/((-4)\/10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 + 88. Suppose j = -a*j - 5*n + 99, 4*n = -5*j + 152. What is the highest common divisor of 98 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8683*o - 8679*o = 5*p - 47, -p - 5*o = 8 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u. Let y(m) be the second derivative of -2*m**3 + 4*m. Let a(b) = -14*i(b) - 5*y(b). Let h(k) = -4*k**2. Determine a(h(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -194, -381, -558, -719, -858, -969, -1046, -1083?\n\"Answer: b**3 - b**2 - 191*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36 and -104.\nAnswer: -3744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.22753 to two dps.\nAnswer: 3.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 846*t - 33*t - 66*t - 24216 = 26580 for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 13. Find the third derivative of y**6 - y**x + 5*y**6 + 179*y - 179*y wrt y.\nAnswer: 720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.3, -4123728, 1\/2, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -11*v + 66. Calculate the smallest common multiple of m(5) and 35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3075.22 centuries in years?\nAnswer: 307522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 + -1131?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 21 = 133. Suppose 19*c = v*c + 8532. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**3 - 10*s**2 - s**2 + 5*s**2 + 6 - 7 + 8*s**2 - s as a*s**2 + c*s**3 + g*s + p and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4408, -18114, -40958, -72940?\n\"Answer: -4569*a**2 + a + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + m**2 - 2*m**4 + m**2 - m**2 - m**4 + (-m + m**2 + m)*(-1 + 1 + m**2) - 4*m**4 + 3*m**4 + 3*m**4 + 2*m**4 + 3*m**2 - 3*m**2.\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7240 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 630531 and 2178?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*j*v**5 - j*v**4 + 7*j*v - 7*v**2 + 1 wrt v.\nAnswer: -600*j*v**2 - 24*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3894, 3899, 3908, 3921, 3938, 3959?\nAnswer: 3984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 829132, 1658271, 2487410, 3316549, 4145688?\nAnswer: 4974827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 + 1\/3*27 is divided by 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -334, -6, 49, 11 in descending order.\nAnswer: 49, 11, -6, -334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 31. Let u = 202\/5 + -206\/5. Put u, t, 1\/6 in decreasing order.\nAnswer: 1\/6, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.3431g to nanograms.\nAnswer: 32343100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 + -70. Let s be (-3)\/21 + v\/14. What is the highest common factor of s and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -549874, -549875, -549882, -549895, -549914?\nAnswer: -549939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x - 16. Calculate the common denominator of 97\/2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 6\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1462761908.\nAnswer: 2, 31, 11796467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -266292131*y**3 - 76*y**2 + 243401*y - 8.\nAnswer: -1597752786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o. Let w(m) be the second derivative of 5*m**4\/8 - 113*m**2\/2 - 23*m. Let u(g) be the first derivative of w(g). Give l(u(n)).\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1120 - -2645. Let x be 7\/((-1820)\/n) + 6. Which is greater: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-2) + -3 - -3. Let z be 0 + (-2 - -2) - -3. Suppose 4*i - 5*y = s, i = -z*i - 4*y. Solve -6*v + v = i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g. Let q(w) = 6*w - 1. Let f(i) = -q(i) - 5*v(i). Let m(p) = 4*p - 1. Let a be 12\/6*6\/(-4). What is a*f(z) - m(z)?\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.38 - 0.08. What is the second smallest value in 0.39, l, 2?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570441 (base 11) in base 9?\nAnswer: 1633820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*c + 19, 5*z - 13 = 4*c + 17. Let a be (3 + 61\/z)*6. Suppose -a = -o - 2*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*d - 190*d + 44352 = 0. List the prime factors of d.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**4\/4 - 2*j**3 + 19*j + 430. What is h(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.2426 weeks in milliseconds?\nAnswer: 93890724480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -16*g**2 + 16 - 12*g**3 + 0*g**3 - 2*g - 2*g. Let s(d) = -d**3 - d**2 + 1. Let r(j) = 16*s(j) - u(j). What is the second derivative of r(p) wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 116.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1577.\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 76 = 4*l, 3*f - 3*l = -0*f + 48. Let o = f + 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2220112021 + 221000101?\nAnswer: 10211112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123122311 (base 4) to base 13.\nAnswer: 3c172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-80)\/(-14) + 4\/14. What are the prime factors of k*(16\/12)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 f when four letters picked without replacement from {y: 2, f: 7}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(-33)*-3*(-3)\/1. Let i be (4054\/18)\/(2 + -3). Let h = i - -225. Is c smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*j**2*s**3 - 76253*j**2*s*w**3 + 14*j*s**3*w**2 + j*s**3 - 3*s**3*w + 80*s**2*w**3 - 3*s**2*w wrt j.\nAnswer: -88*s**3 - 152506*s*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10*2*4\/(-16). Let s(c) = -c - 2*c + 81 + x*c - 3*c. Does 13 divide s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 361319816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o + 27. Let a(r) = -3*r + 55. What is 4*a(k) - 7*m(k)?\nAnswer: 2*k + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j*m*v**3 - j*m*v**2 - 4*j*m*v - 33*j*v**3 + 6*j*v + m*v wrt v?\nAnswer: 18*j*m - 198*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 61, 76, 89, 100?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14198 is divided by 3547?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*a = -14, -a - 3 = -0*a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from llylyll?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 15, -z - x - 115 = -304. Calculate the greatest common factor of z and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhfh when four letters picked without replacement from {f: 2, h: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + 108*w**2 - 1396*w + 316. Give u(33).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 21*j + 18 = 23*j, -4*i + 3*j - 10 = 0. Let o(x) = x**3 + 4*x**2 - x - 3. Let c be o(-4). Sort i, -2, c in decreasing order.\nAnswer: i, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -406053 and 0.01 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353, -687, -1009, -1325, -1641, -1963, -2297, -2649?\nAnswer: -3025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5916689 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: Does 130 divide 66917500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 182. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 4.7. Let t = -64\/65 - -18\/13. What is the second biggest value in t, 1\/6, z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.628 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4746726 milliseconds?\nAnswer: 0.00000791121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 7:33 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007274289 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 920 - 915. Suppose 0 = -3*r + o*l + 59810, 4*l + 22298 - 2373 = r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35463*v**3 - 19*v**2 + 4473260 wrt v?\nAnswer: 106389*v**2 - 38*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - 4*j - 430599*j**2 + 434475*j**2 in the form h*j + k*j**2 + g and give k.\nAnswer: 3876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvcv when four letters picked without replacement from vovofuvcv.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 892*f + 2091. Give s(-4).\nAnswer: -1477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1322*k - 2*m + 207 = 1326*k - m, 0 = -5*k - 5*m + 270 for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 626197766 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 116028.\nAnswer: 928224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 + 91. Solve -3*f - 15 = -m*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26\/5 of a millimeter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48251 + 48250.85. Let x be 3\/(-2)*(-4)\/(-2). Which is the nearest to -2\/9? (a) x (b) 2\/9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 3*o + 5. What is the units digit of ((-3)\/(-6))\/(o\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2286, -2344, -2402, -2460?\nAnswer: -2518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*k + 3750 = 12*k. Solve -2*a = -22 + k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) -1 (b) 1\/2 (c) -0.04 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 3*m + 3*m**2 + 2*m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 12444539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 858664\/97740 - (-4)\/270?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78862*w**3 - 13650.\nAnswer: 236586*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*y + 7*y - 588 - 452. Solve -17*a - y = 96 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 + 48018344*q\/9 + 288220170062792\/9.\nAnswer: 2*(q + 12004586)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 28372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 618 and 176826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 6. Let x be b(-7). What is the remainder when (x - 2)*9\/(-9) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10363463183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-2))\/((-2)\/(-9)). Let k = -5 - -15. Suppose -2*p - k = 0, 25 = 5*n + 4*p + p. Is n > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6028*t**4 + 16797*t**4 - 5803*t**4 - 5619*t**4)*(t + 4*t - t).\nAnswer: -2612*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 22021221?\nAnswer: 22022001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Let o(v) = 19714*v. Give o(z(b)).\nAnswer: 19714*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -636, -2508, -5616, -9954, -15516, -22296?\nAnswer: -30288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 - 2.04. Let n = w - 0.8. Let v = 2.1 + n. Which is the second smallest value? (a) v (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 3024 = -2*k + 7*v, 5*k - 2*v = 7488. Is 30 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -19.9345415\nAnswer: 7.9738166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 11:47 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -270, -536, -802, -1068, -1334, -1600?\nAnswer: -1866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w - 7*w + w**2 + 6*w**3 - 2 - w**3 in the form j*w**3 + q*w**2 + k + g*w and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {k: 1, s: 2, g: 6, r: 1, m: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**3 - 231212*l**2 + 279121752*l = 0.\nAnswer: -58986, 0, 1183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5216 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - j + 3)*(2*j + 3 - 3) - 19 + 19 + 4*j**2)*(-23*j**2 - 40*j**2 - 5*j**2).\nAnswer: -136*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30491467691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 13 - 24 - 15)*(5*x**2 - 6*x + 6*x).\nAnswer: -5*x**4 - 260*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 5:03 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1275*i - 1287*i + 36 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3332)\/28 - (0 + 1). Which is smaller: d or -119?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhlhhholhhohhllc. What is prob of sequence hllh?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 43. Let b = -809 - -817. What is the smallest common multiple of b and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w = -14*w + 22. Let z(s) = -s**2 + s + 1. Let m be z(0). Let o = w - m. Sort o, 4, -5.\nAnswer: -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -216 + 113. Let a = 759 + -533. Let l = a + r. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87496 and 43748.\nAnswer: 87496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38997\/4 + 9749. What is the third biggest value in 0.3, s, 0.5, 2, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c - 29. Let x be r(4). Let u = 88 + x. Let l = 89 + u. What is the highest common divisor of 52 and l?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.06397.\nAnswer: 0.006397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 127174\nAnswer: -2543.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0052302 rounded to 5 decimal places?\nAnswer: -0.00523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z**2 - 11*z + 265. Let j(u) = -12*u**2 + 15*u - 355. Give -8*j(y) - 11*q(y).\nAnswer: -3*y**2 + y - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*d**2 + 29*d**2 + 1233*d**3 + 1412*d**3.\nAnswer: 2645*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720369 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -17. Suppose z*u + 0*u = 2. Let s be (-102)\/230 - 6\/(-15)*1. Is u smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.223 (b) 0.5 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/194616 and 43\/4132728.\nAnswer: 70256376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7326, 7.7, -4, 2\/3, 0, 4 in ascending order.\nAnswer: -4, 0, 1\/7326, 2\/3, 4, 7.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 352*c**3 - 2*c**2 - 38*c.\nAnswer: 2112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = 0, 2*j - h - 1885 = 47. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7805616135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eer?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**5 - 748*c**4 + 21*c**3 - 742*c**4 + 1496*c**4 + 12*c**2.\nAnswer: -3*c**2*(c - 4)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g = 5*b - 10, 0 = -2*b + 4*g + 16. Suppose 3*n + 5*i = 27, b*n + 4*i - 57 + 29 = 0. Solve 3*j = -h + 17, 4*h + n + 8 = 4*j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 2*f - 3. Let m be q(4). Let p = 77 + m. Suppose -s + p = -206. Calculate the remainder when s is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113\/5 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 949103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21\/331 - 98864\/1655. Let r = -60 - n. Which is the third smallest value? (a) -2\/11 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -1. Let t = -7 - s. What is the second smallest value in t, -4\/7, 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 15, -2*j - w + 159 = 4*w. Let y(p) = 2*p - 2. Let q be y(15). Suppose -2*h + q = -j. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-6))\/((-5)\/(-30)). Suppose -4*n - 2*y - 45 = n, w = n - 3*y. Is -6 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8002 is divided by 157?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152196.\nAnswer: 2, 3, 11, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*r - 5 = 0, -2*l - l = -r - 31. Suppose 3*h - 14 = l*h. Is 15 a factor of (-2 - 2\/h)*-37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64622491570 rounded to the nearest 1000000?\nAnswer: 64622000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.48544cm in nanometers?\nAnswer: 564854400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 1681?\nAnswer: 1681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1721896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (20 - (13 - 2)) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26902474 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.107822973 + 11.917822652. Let s = w - 6.81. What is s rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*g**3 + 531*g + 87107?\nAnswer: -75*g**2 + 531","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3669 + 3666. Put -4, 3, p, 278 in decreasing order.\nAnswer: 278, 3, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 7) in base 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -3359\nAnswer: -1\/3359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60485137.\nAnswer: 53, 1141229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47 + 4113.\nAnswer: 4066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -92 + 160 + -122?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 5807 (c) -0.3 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 + 20*l**2 + 21*l - 129. Calculate w(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 22*m**2 - 153*m + 22. Let d be v(-11). Is 373 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2976301\/300 - 9921. Let m(x) be the third derivative of 4\/15*x**3 - c*x**6 + 0*x + 6*x**2 - 1\/150*x**5 + 1\/15*x**4 + 0. What is l in m(l) = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/91792 and -83\/16.\nAnswer: 91792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -636041 + 1085232. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -66, -400, -1186, -2616, -4882, -8176, -12690?\n\"Answer: -32*u**3 - 34*u**2 - 8*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 11*n + 19. Let m be l(13). Suppose -d + 3*y = -9, m = -0*d + 5*d - 5*y. Let z(w) = -w**3 + 9*w**2 + 12. Is z(d) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139618567?\nAnswer: 11, 12692597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18249*a**5*d*f + 10235*a**5 + 55*a*d + 7*a*f - 2882*d + 10*f wrt a.\nAnswer: -364980*a**3*d*f + 204700*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 31 = 5*q, 12*q - 14*q - 5*y + 20 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**(-4))\/b**(-4\/7))**(-24\/7))**(-7) assuming b is positive.\nAnswer: b**(1104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3209401 and 6.\nAnswer: -1.9256406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 4*s + 3. Let a(j) = -j**2 - 3*j + 2. Suppose -3*x + 6 = -4*x + 4*y, x + 4*y - 18 = 0. What is x*a(l) - 5*m(l)?\nAnswer: -l**2 + 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 11 = 9. Suppose 5*t - 1 = -4*w, 0 = -3*w - 0*w + 5*t + 27. What is the smallest value in v, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23\/20 - 9\/10. Sort q, 0.5, 4, -2 in increasing order.\nAnswer: -2, q, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820 is divided by 238.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10.82498718 and 763.7?\nAnswer: 774.52498718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -0*c + c - 4*w, -2*w = -2. Let y = c - 10. Is y a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, 84317, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 951845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 - 3*l**2 + l**2 + (19 - 9*l - 19)*(3*l - 3*l - 2*l).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*r - 155*r + 24312459. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*i + 1648 + 227 = -233*i for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(60)\/(-1*sqrt(12)) - sqrt(5)) + 3*-1*2*sqrt(5).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24539 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*u - 7. Let a be -1 - (-4)\/(-6) - -1. Is u not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16264 divided by 4066.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 237*s*w**2 - 44*s*w + 1863*s - 3*w**2 + 4 with respect to w.\nAnswer: 474*s*w - 44*s - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-21))\/((4\/12)\/1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 31*k**2 + 32*k + 6. Let s(b) = 737*b - 22140. Let u be s(30). Calculate r(u).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y + 4. Let q(u) = 11*u + 7. Let b(m) = 39*m + 26. Let t(o) = -2*b(o) + 9*q(o). Determine 11*p(l) - 4*t(l).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.3 + -1.3. Let m = z + -6. Let r(u) = 16*u + 124. Let w be r(-8). Which is bigger: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 109f + 0?\nAnswer: 109f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -173cf7 - -2?\nAnswer: -173cf5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10072?\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648*k - 659*k = -275. Let a be (-12)\/8*(-1 - 1). Suppose 0 = -4*h + a*h + 14. Calculate the remainder when k is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3\/952859827 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/383450 and 43\/66.\nAnswer: 12653850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11422344 (base 6) to base 15\nAnswer: 71dc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 5 - (-7 + 13)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/5)\/(6\/585). Let l be (-4)\/(-2) + j\/6. Suppose 4*y - 667 = -4*q - q, -5*q - 2*y = -671. What is the greatest common divisor of q and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -13*l**2 - 1375*l + 314. Give m(-106).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3107 - 3108. Which is greater: -10 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-5 - (-4 - (-6 - -2))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 15. Let r be l(18). Let v(i) = -i + 2*i - r*i. Let x(h) = -4*h + 4*h + 4*h**2. Give v(x(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*(-366)\/(-3172) - ((-216)\/220 - 2)?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -66. Solve a = -5*v - 20, -2*v = -q + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 50 + 91. Suppose 51 - g = -9*i. Solve i*m = 5*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 4. Let v be r(-6). Let s be -5 + v\/4*0. Let f(d) = d**3 - 3*d**2 + 12*d - 50. Let h(z) = -z**2 + z - 5. Let q(n) = f(n) - 9*h(n). What is q(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/(-14) - (-2)\/7. Let z(s) = 4*s - 2 + 0 - l. Let y(f) = -f + 1. Suppose -n - 5 - 6 = -2*a, -n + 19 = 3*a. Calculate a*y(t) + z(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((4\/10)\/(16\/10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7, 12, -3, -70, -207, -432?\n\"Answer: -3*t**3 + t**2 + 37*t - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + u**2 + 6*u - 3. Let v be x(-3). Let n be (v\/(-20))\/((-3)\/(-6)). Let l be 2\/(-4)*(-3 - 13). What is the third smallest value in -0.4, n, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 11. Calculate the greatest common divisor of 136 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-14)\/20 - (45 - 41)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 903418 to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 2. Suppose 4*n - 36 = n. Suppose -j - 2*j + 4*i - n = 0, 4*i = 12. Suppose -13 = 3*s - 4*t, -2*t + 0*t + 2 = j. Give u(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 568672 and 7873920.\nAnswer: 102360960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 66 - 60 = -4*m, -3*g = -m + 26. What is the greatest common factor of m and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiyaraagaaiy. What is prob of picking 1 r, 1 y, and 1 a?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 5*r**2 - 50*r + 826. What is t(0)?\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 + 967 + 321 = 158*d - 181*d for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5740\/40*76\/19. Calculate the greatest common factor of 5248 and d.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**3\/2 - j**2\/2 - j. Suppose -z + 5 = -4*v, -4*v - 2*z - 3 = v. Let f be x(v). Put -3\/2, -2, f in decreasing order.\nAnswer: -3\/2, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -610*i + 195130. Give p(320).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5922669 kilometers in centimeters?\nAnswer: 59226.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (35360039\/115)\/11 + (0 - (-2)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22273 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 9272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69505*h**3 - 47*h**2 + 151*h wrt h?\nAnswer: 417030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124037.56 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0045? (a) 7 (b) -4 (c) -0.1 (d) -2 (e) 0.1 (f) -26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181804.\nAnswer: 2, 7, 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*r + 75*r + 33 = 0. Solve -4*u + 2 = 3*q + u, r*u = 4*q + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 116*w + 5171. Is 29 a factor of p(62)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12469669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 13*l**2 - 1328*l - 20061. Determine z(-15).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -554, -2228, -5018, -8924, -13946?\n\"Answer: -558*n**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -86813 take away -43942?\nAnswer: -42871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -828802324 + 828802288.0000023. Let x = n + 36. Round x to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -17, -25, -37, -53, -73, -97?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 2*i**2 - 1 + 0*i**2)*(1 - 3 + 3) + 2*i - 2*i + 2*i**2.\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 7*k**2 - 233*k + 18. Determine s(19).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2, -102, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 4*p + 0*p**3 + 1\/6*p**4 + 0 + 0*p**2. Let f(c) = 5*c**2. Give f(w(v)).\nAnswer: 20*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + -15. Let l be (-36)\/s*(-90)\/(-4). Calculate the highest common divisor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21556.16mg to tonnes.\nAnswer: 0.00002155616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*v - 16*v + 13*v)*(-3*v + 3*v + v) + v**2 + 0*v**2 + v**2 as g*v**2 + k + p*v and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24040 (base 7) to base 6.\nAnswer: 44414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stt when three letters picked without replacement from {u: 2, m: 9, t: 2, i: 1, w: 3, s: 1}?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1195 = -5*l + 42*f - 43*f, 5*f = 5*l - 1195. Calculate the remainder when 597 is divided by l.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/25, -13, -8, -1\/6601?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1.3. Put 1, 13, u in decreasing order.\nAnswer: 13, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*65\/15 + (-10 - -9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.4, 3, -6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59479453 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 69496247 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 16. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*p - 24. Let n(h) = -h**2 - h. Let x(s) = 4*s**2 + 10*s - 2. Suppose 11 = -4*q - 9. Let i(z) = q*n(z) - x(z). Give i(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90337 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2231 and -3.\nAnswer: 6693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cioiggiggivodioddgdi. Give prob of sequence og.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1004492 - 0.3375.\nAnswer: 1004491.6625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssdspssdpp. What is prob of sequence ss?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2488729616 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23783677 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.25 (b) 3 (c) -0.5 (d) 3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -12. Suppose 0 = -4*c - 12, l - h*l = 3*c. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1105531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + 10 - 94 - 55 to w + b*r and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -187500*o**3 - o - 4. Let s(b) = -b**3 + 8*b**2 - 7*b - 4. Let g be s(7). Let q be c(g). Suppose -3*i + q = -8*i. Round i to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.051, 43, -12, -5?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0534 - 2.7834. What is s rounded to 1 dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 6*v + 2. Let w = -29 + 34. Suppose -2*f = w*j + 15, -2*f - 5 = 2*j + j. Determine y(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**4 + 148*q**3 - 2538*q**2 - 14718*q + 38384. Let t(f) = -3*f**4 + 2*f**3 + f**2 - f + 8. Let j(y) = m(y) + 2*t(y). Factor j(h).\nAnswer: -2*(h - 40)**2*(h - 2)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 15. Let h be r(-12). Suppose -2 = w, -h*a - 36 = -4*a + 2*w. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/9 and -67\/26?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1461 + ((-29)\/87)\/(3\/27). Let t = 1462 - h. Suppose 2\/3*v**t - 64\/3*v + 32\/3 + 16*v**2 - 16\/3*v**3 = 0. Calculate v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35849880 by 36212.\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21380?\nAnswer: 2, 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 211224 + 1.\nAnswer: 211225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, o: 2, z: 4}. What is prob of sequence zodd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, j: 3, r: 2, m: 9, f: 2}. Give prob of picking 1 r, 1 w, and 2 m.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 2:56 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22565201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 25*u - f - 14 = 0, 0 = 3*u + 5*f + 5. What is the closest to 6 in u, -0.1, -22?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 104, -6\/41, -5\/6, -0.045, 0 in decreasing order.\nAnswer: 104, 0, -0.045, -6\/41, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (37978\/595 - 64)\/((-6)\/(-28))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001111110101100111100 (base 2) in base 10?\nAnswer: -11004732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 5770?\nAnswer: -5774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 20 = 4*d, -d - 5 = 194*u - 198*u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d + 11. Let z be u(0). Suppose -90 = -z*q + 2*q. Suppose -q*o = o - 616000. What is o rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/4 and 18\/35*135\/(-12).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -21. Suppose -n = -5*r + 7. Let g be (-10)\/(-25) + 1\/(-5). What is the nearest to 0.1 in g, 2, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 87\/(-9) - (-2)\/3. Let p be -6*1*12\/n. Suppose c = 2*q - 0*q - p, -10 = -q + 2*c. Solve -r = -0 - q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 58*z**2 + 10*z - 11. What is o(1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 + s**5 - s**5 - 1 - 4*s**5 + 1 + (2*s**4 - 3*s**3 + 3*s**3)*(2*s - 2*s - s).\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502581.\nAnswer: 3, 233, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -241, -191, -121, -25, 103, 269, 479, 739?\n\"Answer: o**3 + 4*o**2 + 31*o - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1430, 1452, 1490, 1544?\nAnswer: 1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**0*c))\/c)\/c*c*c\/c**(3\/2)*c**(-6)\/c*c**10)**26 assuming c is positive.\nAnswer: c**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**3 + 12*y**2 - 3*y + 15. Give r(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -208*h**2 + 10*h. Let u(a) = a**2. Determine p(u(r)).\nAnswer: -208*r**4 + 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*n + 52*n**3 - 70*n - 62*n - 20*n**3 - 82*n**3.\nAnswer: -50*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(5*3*(2 + (-1 + 1*sqrt(684) - sqrt(684)) + 5*(sqrt(684) + -1*sqrt(684))))**2.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = 0, -5*u = -2*x - 3*x - 30. What are the prime factors of ((-24)\/x)\/(1\/5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*f + 3*f. Let z(r) = r**3 - 19*r**2 - 21*r + 12. Let w be z(20). Is w\/6*(-261)\/f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azssqnsszyaqnaanz. Give prob of picking 1 s and 3 a.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {m: 16, v: 4}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1.29, -1.2, -1938?\nAnswer: 1.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.819185 - 10.844. What is d rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*g**3 - 21*g**3 + 0*g**3 - 121*g + 117*g.\nAnswer: 28*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**7\/168 - f**6\/60 - f**5\/4 + f**4\/6 + 16*f**3\/3 + 16*f**2 + 8*f + 94. Let p(u) = 0. Calculate u.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/8, -11, 3\/13?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2. Let t(y) = -3385*y**2 + 2*y + 2. Calculate t(l(q)).\nAnswer: -13540*q**4 + 4*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(7014\/234 - (95 - 65)).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45087 and 162183.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.061562191 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*l**2 + 278091795*l - 139045895.\nAnswer: -5*(l - 27809179)*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.040675412 to 5 decimal places.\nAnswer: 0.04068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = -0*y + 3*y. Let v = y + -70. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 9*i = 2*h + 2, -5*h - 33 = -4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 315*g**3 + 7 - 11100*g**3 - 2 - 3.\nAnswer: -10785*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3269 is divided by 82?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 6)*44\/55. Suppose -26 = -2*i + z*r - 10, -i + r + 4 = 0. Which is smaller: i or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 25 = 0. Calculate the remainder when r is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4667871, -9335741, -14003611, -18671481, -23339351?\n\"Answer: -4667870*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9726 + 18575. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -19340232911099.\nAnswer: -19340232911098.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10476, -10477, -10478, -10479, -10480?\nAnswer: -10481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21926 and 304.\nAnswer: 175408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 786817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 10*b + 111 = -26*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*v - y + 10, -41 = -4*v + y. Suppose -1 + v = 2*c. Suppose 2*o + 92 = c*o. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*k + 15*k + 0*k**2 - k**2 - k**2.\nAnswer: -2*k**2 - 54*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2661 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 j(h) be the first derivative of -8*h**3\/3 - 4. Let r(g) = -2*g**2. Determine r(j(b)).\nAnswer: -128*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253391080.\nAnswer: 2, 5, 647, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 5*x + 2. Let t be ((-2)\/8)\/(1\/(-4)). Suppose -4*w + 11 + t = 0. What is the remainder when k(-3) is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.5 - -1. Let x = d + 0.5. Let r = x - -12.99999924. What is r rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 424476 and 3726?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 203*u + 632. Let m be f(-3). Solve 33*q = m + 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 672 + -665. Let v = 18 + -6. What is the remainder when v is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14334 + 0?\nAnswer: -14334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + s + 18, 4*r - 2*r - 2*s - 12 = 0. Solve 0*q - 3*q = -r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209\/10 less than or equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26645 - 12110?\nAnswer: -40755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1345 + -1320. What is the remainder when 26 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30742 and 11172.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35530\/1630200 + (-1)\/(-60)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmm. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*k - 19, -4*k - 13 - 1 = -2*u. Let p = 0 + -1. Let o be 3*(p\/(-9) + 0). Which is the biggest value? (a) u (b) o (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*b**4*h + 7*b**4 + 40*b**2 - 6*b*h - 1 wrt b.\nAnswer: 1608*b*h + 168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50.8 and -1045.\nAnswer: 53086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**4 + 16*p**4 - 3*p**4)*(-93 + 254 - 82) to the form q*p + l + m*p**2 + d*p**4 + h*p**3 and give d.\nAnswer: 1027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/110 and 64\/165?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 157236755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**4\/8 - 69*x**3\/4 + 201*x**2\/2 - 7873*x. Solve r(f) = 0.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1803.5 + -1806. Let u = 9 - 6.2. Let k = u + q. Which is the second smallest value? (a) 2\/21 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**2 - 6388*n + 5100818 = 0.\nAnswer: 1597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2816074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1802 divide 118014782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -42. Let f = -19 - r. Suppose 0 = -v + f*v - 16. Solve 1 + v = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2012 + -55?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1164, -1161, -1158, -1155, -1152?\nAnswer: -1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 825 or 1844?\nAnswer: 1844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 11. Suppose 2*v + 6 = t*v. Suppose 54 = -v*k + 4*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 273 and 387?\nAnswer: 35217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1647, 3293, 4939, 6585?\n\"Answer: 1646*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 2*r + 4*w = 565, -5*w = -3*r + 339. Let f = r + -105. Solve -6*q - f = -8*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4142153 - 13421?\nAnswer: -4200014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14885 (base 9) to base 13\nAnswer: -484a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3463342 (base 7) to base 12\nAnswer: -190237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - 2*q + 2*q + (3 - 2*q**2 - 3)*(4 + 0 - 6) - 42949 + 42949 + 2223*q**2.\nAnswer: 2229*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 56 and -12\/53 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -5*s**3\/3 - 115*s**2\/2 - 300*s + 3086. Suppose n(m) = 0. Calculate m.\nAnswer: -20, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 124524 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 2*r - 3. Let b(d) = d + 1. Let u(j) = -6*b(j) - 3*g(j). Find a such that u(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738134 to the power of 1\/2, to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 719323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjj when three letters picked without replacement from jggjjjj.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 16*f**3 - 7*f**2 + 43*f - 50. Let i(b) = 9*b**3 - 3*b**2 + 24*b - 25. Let d(g) = -7*i(g) + 4*m(g). Calculate d(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12960 and 727380?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 - 235*i - 351.\nAnswer: -(i + 351)*(2*i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 255.3817154 to the nearest integer.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16*-1*(-2 - -3)*2. Let c = d + 35. Suppose -2*w + 93 = y, -w - y = -c*y - 34. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -3\/2*k**2 - k + 0*k**3 + 0 + 2\/15*k**6 + 0*k**4 + 0*k**5. What is the first derivative of f(w) wrt w?\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-32)\/(-80))\/(2\/(-110)). List the prime factors of 33\/z*(-124)\/3.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/41 + 29\/82. Which is the biggest value? (a) 0.4 (b) -0.5 (c) r (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 21*y**2 + 8. Let d(w) = 7*w**2 + 3. Let l(h) = -8*d(h) + 3*j(h). Suppose -100578 = 9*x - 505479. Let p(s) = -44989 + x - 2*s. Determine p(l(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 123576439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -73, -85, -143, -271, -493, -833, -1315, -1963?\n\"Answer: -4*b**3 + b**2 + 13*b - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 6:39 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 676, 1385, 2098, 2815?\nAnswer: 3536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-5)\/(35\/(-7)))*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3\/9 - 8942*c**2\/3 + 1886420*c\/9 - 5393200\/3 = 0?\nAnswer: -13483, 10, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/31)*g**17)\/(g**(-4\/9)*g*g**17) assuming g is positive.\nAnswer: g**(106\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10428554*o*s**3 + s**3 + 1984*s**2 + 281 wrt o.\nAnswer: 10428554*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**4\/8 - 7*c**3\/6 + c**2. Let k be -1 - (-16)\/(-12)*-3. Let t be j(k). Solve x + 3*x + 5*v + 2 = 0, t*x + 3*v + 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 82*c**2 - 93*c - 5. Is 5 a factor of j(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*j + 8 = -10, -3*j = m - 13. Sort -4, -8, m.\nAnswer: -8, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 13984 = 4*z, -3*s = 99 - 108. What are the prime factors of z?\nAnswer: 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 846084.9 micrometers?\nAnswer: 0.8460849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a. Let m(x) = -22*x. Let f(b) = -594*b. Let s(t) = 2*f(t) - 55*m(t). Calculate p(s(y)).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1644 and 8124.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 391\/13 + -30. Suppose 4*c + c + 2*d = -1042, 0 = d + 1. Let s = c - -206. Sort 6, s, k in descending order.\nAnswer: 6, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**4\/6 + j**2. Let w be q(-1). Suppose 0 = g - w*g. Solve v = -g*v + 1, -5*a + v - 1 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 13*r**2 + 14*r + 2. Let i be b(14). Determine l, given that 5*l**3 - 7*l**3 + 4*l**2 - 5 + i*l + 1 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d - 8. Let z be t(-2). Find the third derivative of -r**z - 6*r**2 - r**4 - 2*r**4 - 7*r**4 wrt r.\nAnswer: -264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from ziiizzziiizizizi?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2161 (base 7) in base 9?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 + -7 + 3)*-197.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 914551\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/581, -0.284.\nAnswer: -5, -0.284, -2\/581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + l - 2761 = 0, 0 = -4*a - 5*l - 138 - 2065. Let v = a - -878. List the prime factors of v.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69449 = -4222*v + 17289 - 260268 for v.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4051 + 4025 + (1 - 12).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - j - 2*j - 10*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48065 or -526?\nAnswer: -526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2 + 37488*n - 187540 = 0 for n.\nAnswer: -9377, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4878 and 210838.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/3)*b*b)\/(b*b**0*b))\/(b**(-1)\/b**3) assuming b is positive.\nAnswer: b**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + -2)\/(-1) - 3. Suppose -2*g - s*g - 16 = 0. What is the units digit of g\/(-2)*-1 - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152157277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 64*b - 28. Let g be i(1). What is the greatest common factor of 333 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 - 80\/6. Let d = -10 - m. Solve c - 8 = -r, d*c = r - 3 + 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)\/k)**(-2\/3)\/(k\/(k\/(k**(1\/6)*k*k))*k**(-1))*k**(-4\/5)*k**5*(k\/(((k**0*k*k)\/k*k)\/k))**(-50) assuming k is positive.\nAnswer: k**(131\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*i**4 + 108 - 10*i**4 - 2*i - 50*i**4 + 26*i**4 wrt i?\nAnswer: -228*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 171 = 5*j, 2*j = 2*o + 3*j - 81. Suppose -25*q = -27*q + 20. What is the remainder when o is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 47, 102, 145, 170, 171?\n\"Answer: -a**3 + 62*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 0 - (-8)\/3. Let t = -0.095984 - 0.304016. What is the second biggest value in -3\/2, t, i, 10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l**3 - 5*l**2 - 2*l + 20. Let r be w(-7). Suppose 7*c - r = 484. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22854 to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2190*n - 6*n = -2196 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**3 + 2*o + 5. Let s(j) = 3*j**3 - 2*j - 6. Calculate -6*d(y) - 5*s(y).\nAnswer: 3*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -309*h + 311*h - 8, -4*h + 4*h = -14*d + 4*h - 408 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((-12)\/(-18))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 13. Suppose o*t + 9 = g + 2*g, 0 = -g + 5*t - 13. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/8)*(l**(-20)\/l)\/l*l assuming l is positive.\nAnswer: l**(-165\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d + 9. Suppose 0 = -y - 2*u - 8, -4*u - 24 = -y - y. Let t(c) = 3*c + 5. Let f(h) = y*s(h) - 5*t(h). What is f(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 3*o = 43*k - 213, 0 = -3*k - 4*o - 0*o + 25 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46 and 2.5?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpcp when four letters picked without replacement from {c: 10, p: 4}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12, 47, 152, 363, 716, 1247?\n\"Answer: 6*z**3 - z**2 - 4*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56837, 56844, 56875, 56942, 57057, 57232, 57479, 57810?\n\"Answer: 2*a**3 - 7*a + 56842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 20 (c) -269576\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -8*y + 5. Let d be n(4). Let o be ((-36)\/d)\/(8\/18). Let k be (0 - -3)*31\/o. Calculate the highest common divisor of 341 and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 2 - (-83 + 80)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 9:29 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 825127585 rounded to the nearest one million?\nAnswer: 825000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23.9 from 7572031.\nAnswer: 7572054.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 111, 277, 527, 867?\nAnswer: 1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (0 + 0)\/1. Suppose 0*x - 14 = -b*x + 2*c, -17 = -3*x + 2*c. Determine h so that -h**5 - 7*h**3 + 16*h**3 + h**4 - 9*h**x = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-13)\/2)\/((-3)\/54*(-6)\/(-32)). Calculate the greatest common factor of z and 390.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 0*q**2 + 7*q - q**3 - 4*q**2 + 6*q**2 - 10. Let f be o(3). Find the third derivative of 2*a - f*a + 30*a**5 - 53*a**5 + 14*a**2 wrt a.\nAnswer: -1380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, 1, -0.3.\nAnswer: -1, -0.3, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**3 - d**3 + 7*d**3)*(-6*d + 2*d - 3*d + (1 + 2 - 4)*(2*d + 0*d - 3*d)) to the form o + a*d**2 + w*d + p*d**4 + m*d**3 and give p.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101*j**5 + 288*j**2 wrt j.\nAnswer: -6060*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**3*y*y*y)**14\/((y*y**24)\/(y*y\/(y\/(y\/(y**(4\/3)*y))))) assuming y is positive.\nAnswer: y**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 76 = 4*i, 23 = -2*y + 4*y - 5*i. Let v be 94\/(-6) + 1\/(-3). Let o = y + v. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 72*k + 1512. Let m(a) = 13*a + 270. Let h(o) = 28*m(o) - 5*n(o). Let i(r) = -565*r. Give i(h(q)).\nAnswer: -2260*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627376551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 34. Let t = 227\/7 - g. Which is the closest to 1? (a) 2\/5 (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2 = 0, 1398*t + 0*b + 2*b - 40 = 1397*t for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 32*m + 104865 = -2*m. What are the prime factors of m?\nAnswer: 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 12:17 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yypy when four letters picked without replacement from {a: 1, y: 3, p: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 4*z**2 + 12*z + 20. What is the hundreds digit of o(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 156461 = -5*j, 5*j - 469363 = -7*w + 4*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**5\/20 + v**4\/3 + v**3\/2 - 3*v**2\/2 - 2*v. Let z be o(-3). List the prime factors of (-10)\/z*(2 - -1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -5, -4, 3, -42264 in descending order.\nAnswer: 3, -2\/5, -4, -5, -42264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 19.8. Sort -3, 0, u in descending order.\nAnswer: 0, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*z - 76*z - 90 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/6)\/((-9)\/(-600)). Let u = p - -181. Is u a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*g = -16, 3*b - 55 = -5*g - 8. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i**3 - 52*i**2 - 53*i + 18. What is the remainder when 656 is divided by a(-8)?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 - -6.3. Let g = 25 - 25.1. What is the nearest to g in 2, m, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.11, -3, -1\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/((i*i**4*i)\/i))\/i)\/i*i)\/i*i*i**(-1\/9))**(-37) assuming i is positive.\nAnswer: i**(1702\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s + 32. What is j(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 6050150.\nAnswer: 12100300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -21. Let l = 1.037 + -0.037. Which is the nearest to l? (a) 5 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 2, x: 6, i: 1, f: 9}. What is prob of sequence ig?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.6 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1467650074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*c - 135*c + 1 - 1.\nAnswer: -50*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5772)\/(-1287))\/37*4\/(8\/3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 - 5 = 0. Suppose 4*u = 2*z + 504, 2*u - 9*z = -6*z + 244. Suppose 0*b - u = -j*b. Calculate the remainder when b is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1016\/6 - -3)\/(3\/(-9)). Let x = -203 - u. What are the prime factors of 2 + 3*x*1\/6?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**4\/12 + o**3\/6 - 3*o**2. Let k be c(-1). Suppose -4*g = -g - 3*l + k, 0 = -2*g - 3*l + 23. Solve -4 = -g*r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -280 in -0.0124, -5, 1, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/x**(-1)))**3\/(x*x**(-2\/7))**(-17) assuming x is positive.\nAnswer: x**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 246481275 and 5.\nAnswer: 246481280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, z: 10, f: 2}. Give prob of picking 2 f and 1 b.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 1204.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3369*0.07.\nAnswer: -235.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122 - 117. Which is the nearest to -1? (a) 2 (b) w (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1.5. Let l = -2385\/11 + 217. Which is the nearest to 1? (a) w (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1. Let q(o) = -o + 2. Let p(y) = 3*y - 6. Let i(u) = -6*p(u) - 17*q(u). What is 2*g(b) - i(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0. Let h(k) be the second derivative of k**4\/12 - k**2\/2 - k. Let g(u) = -u**2 + 1. What is o*h(i) - 3*g(i)?\nAnswer: 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-30)))\/(g\/(g**(12\/11)*g)) assuming g is positive.\nAnswer: g**(342\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1609*q - 1610*q + 3219*q + 756*q**2 to m + g*q**2 + b*q and give g.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/5, 50, 0, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**4\/4 + 2*j**3\/3 - j - 6. Give w(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**5 + 2*h**3 - 2*h**3)*(1 - 1 + 1) + (h**4 + 6*h - 6*h)*(2*h - 4*h + 3*h).\nAnswer: 2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2*3 + (-24)\/(-6))\/(-213). Is a at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 25605724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 4. Let b(m) = 1. Let i(u) = 4*b(u) + g(u). Let h = 4 + -3. Let q(s) = 8*s. Give h*q(p) + 5*i(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -77 and 0.11.\nAnswer: -76.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -56. Let g = h + 26.9. Let z = g - 0.9. Which is the third biggest value? (a) 0 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 198. Suppose c*r - 139*r = -1106. List the prime factors of r.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddd. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 260 and 2704.\nAnswer: 13520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -141 + 135 - 1013*a**5 + 1062*a**5 + (0*a**2 + 0*a**2 + 2*a**2)*(-4*a**2 + 4*a**2 - 3*a**2)*(0*a + 2*a + a).\nAnswer: 31*a**5 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 149 = -3*b - 2*b, 2*b = -4*f + 66. Let x = b + -144\/5. Let w(h) = -h**2 - 160*h + 1000. Let v be w(6). Sort -4, v, x in ascending order.\nAnswer: -4, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbvvxxm. Give prob of picking 2 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(192) + -1 - sqrt(3) - sqrt(3))*1.\nAnswer: -36*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, 56, 115, 186, 263, 340, 411, 470?\n\"Answer: -t**3 + 15*t**2 + 3*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*q + 7 + 4*q + 26*q)*(-2 + 2 - 2*q).\nAnswer: -8*q**2 - 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) -2\/117 (b) 1\/10 (c) 6 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 27 + (-5 - -2) + -1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(0*q**3 + q**3 - 2*q**3) - 2809*q**3 - 2210*q**3 + 733*q**3 + 852*q**3.\nAnswer: -3432*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 16*b - 21 + 13.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(((-104)\/9)\/(-13)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + -0.36. Let y = -63.5 - -70. Let t = y - 6.57. Which is the closest to t? (a) -3 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 1\/2*q**3 + q**2 + q + 0. Is y(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 82, 180, 308, 466?\n\"Answer: 15*m**2 + 53*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -1\/6*f**3 - 156800\/3*f - 560\/3*f**2 + 0 = 0.\nAnswer: -560, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1523 and 176937571?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (26\/(-20))\/(2\/4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*(7644\/7)\/6. Let b = f - 21. Let d = b - -261. List the prime factors of d.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -837 = -7*a - 137. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -13672*m**2 + 123*m - 10735. Let r(n) = -9114*n**2 + 88*n - 7156. Let q(l) = -5*p(l) + 7*r(l). Find the second derivative of q(c) wrt c.\nAnswer: 9124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/14*(-49)\/21)\/1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -402 - -288. Let t = 113.5 + l. Which is the third smallest value? (a) 2\/17 (b) -5 (c) 12 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1342045 divided by 4\nAnswer: 1342045\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**4 + 3*k - 10*k**4 + 6*k**4 + 2494228 - 2494226 - 14*k**3 - k**2 as b*k**3 + m + f*k + s*k**4 + c*k**2 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 37\/3, -7, 4, -3\/8 in ascending order.\nAnswer: -7, -3\/8, 4, 37\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/39352 or 3?\nAnswer: -3\/39352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108 a factor of 106999560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 558. Let h(q) = -2*q - 837. Let o(m) = 2*h(m) - 3*l(m). Let g(z) = -12*z**2 - 3*z. Suppose 7 - 4 = -3*j. Give j*g(i) + 3*o(i).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-3)*4\/(-8). Let h = 0.2 - 0.1. Which is the third smallest value? (a) h (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/31 - 19\/186. Which is the second biggest value? (a) 1\/3 (b) f (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 + 8*x - 455. Calculate the remainder when a(-21) is divided by 49.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 24*v**2 - v + 34. Calculate o(-24).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = -2*j + 256. Calculate the lowest common multiple of ((9 + -5)\/8)\/(2\/132) and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -1 - 5*s + s**2 + 1\/3*s**3. Let d = -16 - -11. Give q(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cckcuugggggggggggkku. What is prob of sequence ku?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2706, -2703, -2702, -2703, -2706, -2711?\nAnswer: -2718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -131478, -131485, -131504, -131541, -131602, -131693, -131820?\n\"Answer: -h**3 - 131477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 21*u + 33. Let b be f(20). Let n(a) = -3*a + 43. Let l be n(b). Suppose -12 = -4*z, o - z + l*z = 148. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.4 - -3.6. Which is bigger: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -265.782?\nAnswer: 260.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3778*p + 12 + 12 + 384*p - 19.\nAnswer: 4162*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/6 - (-2 + 0). Suppose h*n + 54 = -n. Round n to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -481 + 1822*t + 481.\nAnswer: 1822*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226.5208 millennia to decades.\nAnswer: 22652.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34.6? (a) -1 (b) 0.08 (c) -7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 - 16*v**2 - 66*v - 764. Give q(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-p**2 + p**2 - p**2 + (1 - 1 + 2*p)*(5*p - 2*p + 0*p) + 0 - p**2 + 0)*(0 + p + 0).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -662*q**2 - 298*q wrt q.\nAnswer: -1324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-43819)\/(-87) + 1\/3. Let h be ((g\/35)\/(-6))\/(6\/(-45)). Let n(u) = -u + 10. Let s be n(7). Solve 4*p - 2*y - h = 0, 0 = 7*p - 3*p + y - s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 798.17238ms to days.\nAnswer: 0.00000923810625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1505183?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*o - 10, 5*f - 1 = -3*o + 7*f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - i. Let u = -99 - -90. Let n(h) = -4*h**2 - 4*h - 1. Let l(x) = u*j(x) + 2*n(x). Find m such that l(m) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x**2 - 10*x - 10 + 2*x - 3*x**2. Let r be g(-4). Calculate the greatest common factor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/2 + -3 + 35\/14. Suppose -r*x + 106 = 2*y, 5*x - 25 - 138 = -3*y. Solve -3 = -50*f + y*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(19) + sqrt(19)*1) + sqrt(19))*2)**2 + -1*(sqrt(2736) + (-4*sqrt(2736) - sqrt(2736))).\nAnswer: 48*sqrt(19) + 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3870, -3871, -3872, -3873, -3874?\nAnswer: -3875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 120490931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*y - 731 = 179. What is the greatest common divisor of 3310 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10489 by -10.\nAnswer: -10489\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*o - 27*o**4 - 29*o**2 - 3*o + 2*o**5 - 19*o + 98*o**2 wrt o.\nAnswer: 120*o**2 - 648*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + ((1*sqrt(117)*-4)\/(sqrt(324) + (-1*sqrt(324) - sqrt(324)) - sqrt(324) - sqrt(324)))**2.\nAnswer: 133\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -107*n**3 - 2*n**2 - 10. Is a(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t. Let b(l) = -3242464*l. Give b(h(o)).\nAnswer: 6484928*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63 + 1?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.19 + -1.19. Let v = -25 - -101\/4. Is q not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffvffcfffwcwvfcfwvf. What is prob of sequence cf?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*u**4*w - 31354590*u**3*w - 558*u*w + 45*w - 442 wrt u?\nAnswer: 48*u**2*w - 188127540*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19684.\nAnswer: 2, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z - 4. Suppose 2*c + 11 + 1 = 2*r, -18 = -4*r + 2*c. Let s(t) = 4*t - 4. Let a(w) = r*q(w) - 2*s(w). What are the prime factors of a(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42836.88 weeks to minutes.\nAnswer: 431795750.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3795 and 756723.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/5 + 20710*c**3 + 310668*c**2\/5 + 8*c\/5 - 414224\/5 = 0 for c.\nAnswer: -2, 1, 51778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -6 + (2 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15094 and 0.021279675?\nAnswer: 15093.978720325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 485, 4484, 15495, 37028, 72593?\nAnswer: 125700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 363926 and 6954.\nAnswer: 1091778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314 = 2*c + 2*j, -4*c + 636 = j + 23. Suppose -s + 4*u = -35, 4*s = 8*s - 4*u - 92. What is the highest common factor of s and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -191 = -192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -3*i**3\/2 - i**2\/2 + i. Let c(k) = 1. Let b = 2 - 3. Let x(h) = b*s(h) - 2*c(h). Give x(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqql when four letters picked without replacement from {q: 2, l: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -13*v - 164, -5*v + 0*v = 5*f + 70 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, w: 2}. What is prob of picking 1 w and 3 x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-1))\/39)\/(2\/(-4)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - -133)\/(4\/4). What is the third derivative of 16*h**2 + 66 + h**3 + 71 - y wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 29 + 7\/3*n**3 + 5\/2*n**2 + 1\/4*n**4 - 3*n. What is m(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3393.11 + -3393. Is n less than -12\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytvvvvvtvvtyvtyv. What is prob of picking 1 y and 2 v?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.28 and 691168.\nAnswer: 884695.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.50527 and 2.\nAnswer: 1.01054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaasssaaasaaaa. Give prob of picking 3 a.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -139*b**2 + 1329*b + 634. What is u(10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 0*x + 9, 5*x + 31 = 2*y. Let g(m) = m**2 + 1. Let s(r) = r**2 + 12*r - 9. Let t(n) = -2*g(n) + s(n). What is the units digit of t(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4\/3, 5, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 6 - 6)*(0*j**3 - 2*j**3 + 6*j**3).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/(-90)*(-9)\/12. Factor 1\/4*b**2 + 1\/2*b + x.\nAnswer: (b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -31. Let x(n) = -3333352*n + 60. Let q(i) = -1333341*i + 24. Let l(y) = z*x(y) - 12*q(y). Let d be l(9). Round d to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13056693342749 + 0.5?\nAnswer: -13056693342748.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89630 by 20.\nAnswer: 8963\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -3501\nAnswer: 22\/3501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdxgggcdgggxxwxgd. Give prob of sequence gc.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3060\/7650)\/(3\/((-4575)\/5)*2)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2023, -2024, -2025, -2026, -2027, -2028?\nAnswer: -2029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(243))**2 + -1 + sqrt(243) + 5*(-2 + sqrt(3)) + 3.\nAnswer: 68*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x. Let d(k) = -16*k + 4243031. Determine a(d(b)).\nAnswer: 48*b - 12729093","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, v: 1, s: 2, j: 1}. Give prob of picking 2 s and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 1 + 4*g + 0*g)*(2 - 21 + 1) to r + p*g and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - x + 0*x)*((2 - 6 + 3)*(-7 + 0 - 2) + (-2 - 2 + 2)*(-3 - 7 + 0)).\nAnswer: -58*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t + 2*f - 2, -3*f = 4*t - 2. Is (-295)\/(5 + -4 - t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 f when four letters picked without replacement from mwymwffwfwywwffmwm.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*n**2 - 11*n**2 + n**4 + 136 + 5*n**4 + 33 + 85 wrt n?\nAnswer: 24*n**3 - 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 13*h**2 + h + 7. What is f(13)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 28588222?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 20 + 37 - 4 + 10)*(2*c + c + 8*c).\nAnswer: 902*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 388796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*g + 30 = 6*g, -4*m - 53 = 3*g. Let a = 19 + m. Sort -7, a, -3.\nAnswer: -7, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.5 (c) -3779.648\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1334 divided by 608?\nAnswer: -667\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*o**2 + 13*o**2 + 26*o**2 + (4*o - 2*o + o)*(3*o + 2*o - 3*o) as u + n*o + s*o**2 and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20643362?\nAnswer: 2, 2269, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 1 + 3. Sort -1, -4, p in decreasing order.\nAnswer: p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 104307*y.\nAnswer: -3*y*(y - 34769)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooovoqoiqq. What is prob of picking 4 o?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l - 10. Let f be j(-10). Calculate the greatest common divisor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v + 7. Let j(b) = 13*b - 20. Let i(p) = -12*p + 20. Let d(l) = 5*i(l) + 4*j(l). Calculate 6*d(w) - 17*s(w).\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -153 - -154. Suppose -t + 4*p = 3*p + o, 2*p = -4*t + 20. Solve -4*b - 1 = 3*c - 3, 0 = -3*b - t*c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) - (-3)\/6. Let z be 1*-1*(-1)\/(-1). Is z less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 13. Suppose -6*d - 4*p = -3*d - 308, 0 = -d - 5*p + 88. Let w be (4\/(-12))\/((-4)\/d). Let i be t(w). Solve i*o = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*k, -11*k + 123 = -h - 6*k. Let l = h - -260. Suppose 7*y - l = 3*y. Which is bigger: y or 32?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 20 + 64 = 3*j, 5*b = 5*j - 65. Suppose 0 = -4*v + 56 - j. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 11:56 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (8 + -6 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 2*z**2 + 5*z - 2. Suppose -4*l = 4*t + t - 31, -5*l + 23 = t. Give w(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -164, -236, -292, -326, -332?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s**2 - 12*s + 4*s**2 + 29 - s**3 + 9*s. What is the hundreds digit of c(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*q + 2*m - 34, -4*q - m = -25. Calculate the lowest common multiple of (-7 - -1)\/(q\/(-20)) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1669.724 hours in minutes?\nAnswer: 100183.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 248 + -144 - (-2 - -2).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, n: 10}. What is prob of picking 1 n and 1 i?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 55 = 7*f + 5*g, 3*f - 2*g - 38 = 0. Solve -f = 2*d + 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/64 and 107\/265258?\nAnswer: 8488256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 256 - 98. Let u = a + -37. Let o be 1\/(3*3\/99). Calculate the highest common factor of o and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 16\/(-5))*(-17)\/(-34). Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26090 - -26093. What is the fifth smallest value in n, -1, -0.3, 2.7, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/6 + 4409*b\/6 - 12444.\nAnswer: -(b - 4392)*(b - 17)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 935, 920, 907, 896?\n\"Answer: t**2 - 18*t + 952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 6*s + 3 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -83459 (b) 14 (c) 1\/10 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 2. Let o be n(-4). Let d be (-12)\/o*(-9)\/(-6). Suppose 2*u = -u + d. Solve u*i - 13 = -2*j, -25 = -j + 6*j - 4*i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 6*x**2 + x - 3. Suppose 0 = -4*q - 20, -3*q - 9 = 5*c - 29. Let t be s(c). Round t to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*y - 3*y - 46, 2*x - 4*y = 20. Let d be x + 87 - 1*2. Let u = d + -68. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5004380*n + 3 + 5003381*n.\nAnswer: -999*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*u**3 + 1664*u**2 - 3241*u + 1606.\nAnswer: -(u - 1)**2*(29*u - 1606)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1014 - 1019. Let j be 2 - (-1 - -4 - 4). Let w = -1 + j. Sort c, -1\/12, w.\nAnswer: c, -1\/12, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2)\/l)**(-26\/3)\/((l\/((l\/((l*l**(-1\/3)*l)\/l))\/l*l))\/l)**41)**(7\/5) assuming l is positive.\nAnswer: l**(217\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72174 = -29*l + 171020. Which is smaller: l or 8385?\nAnswer: 8385","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 59. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + o - o**2 + 2*o**3 + (2 + 3 - 3)*(-o**3 + 2*o**3 - 3*o**3).\nAnswer: -2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 802 - 200. Suppose 3*f - 5*u = 32, 4 = 3*u - 2. Calculate the highest common divisor of d and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 8*p - 82. What is t(8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -23647\/75 >= -314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.205809 to one decimal place.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1 - (-21 + (5 - -5) + 22)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619857805.\nAnswer: 5, 7, 19, 932117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-156*h - 162*h + 478*h + 3450 - 164*h)*(-3*h + 0 + 0)*(2*h**2 - 5*h**2 + h**2).\nAnswer: -24*h**4 + 20700*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10798654, 21597321, 32395988, 43194655?\nAnswer: 53993322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -15*p**2 - 8*p + 12. Let u(v) = -31*v**2 - 18*v + 26. Calculate 9*s(f) - 4*u(f).\nAnswer: -11*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence caj when three letters picked without replacement from cccjjcjzcarc?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5261, -10410, -15547, -20666, -25761, -30826, -35855, -40842?\n\"Answer: r**3 - 5156*r - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -303*n**2 - 2*n**4 - 4*n**3 + 152*n**2 + 5*n**4 + 156*n**2 - n to the form d*n**3 + g*n**2 + p*n**4 + z + s*n and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 8*l**2 + 41*l - 15. Calculate z(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2636 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1647? (a) 0.01 (b) 1.6 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 16. Suppose -m*p - 2*r + 4 - 2 = 0, 0 = 3*r + 9. Let o(f) = -16*f**2 + f**3 + 18*f**2 - 9*f + 5*f**p. Determine o(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48672)\/9360)\/(2\/(-10)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14239757 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.423662 and 6?\nAnswer: 2.541972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, -1, -1\/3, -25, -804.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 11. What is the smallest common multiple of 174 and a?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*n - 2*n + 3*n - 2 + 2 + 2*n - 2*n - 2*n + 2*n + (-2*n - n + 2*n)*(-2 + 0 + 4) + n - 2*n + 0*n + 2*n + 0*n + 0*n + (3 - 1 - 1)*(2*n - 5*n + 5*n).\nAnswer: -31*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48\/2417891 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 12 - 546*c + 11 + 3 - 30 to t*c + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -156\/1187261 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 369 by 33197.\nAnswer: 369\/33197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-104)\/28 + 6\/(-21) + (3 - 1). Let m(x) = -5*x**2 - 9*x. Let q(z) be the first derivative of z**3\/3 + z**2 - 14. Determine u*m(g) - 9*q(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-99806)\/(-24) - 5\/15. Let r = 4136 - t. Find the common denominator of 22\/3 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*o - 1164 + 5690 = 0 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1700) + -3 + -2 + (sqrt(68) - (sqrt(68) + 2) - (2*sqrt(2448) + sqrt(2448))))**2.\nAnswer: 260*sqrt(17) + 11517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2.99?\nAnswer: 2.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*b + 13, 4*z - 3*z = 2. Let m be b - -2 - (9 + -350010). What is m rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2919 + 2921. Let m(z) = -4*z**2 + z - 16. Let b be m(0). Put 1, -4, b, i in descending order.\nAnswer: i, 1, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48565727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11178, 22366, 33560, 44760, 55966, 67178, 78396?\n\"Answer: 3*n**2 + 11179*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44714, -88970, -132738, -176012, -218786, -261054?\n\"Answer: t**3 + 238*t**2 - 44977*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 - 12)*(-1 - 1). Let m(z) = -3*z**3 - 2*z + 2. Let a = 5 + -3. Let o(q) = q**a - 3*q**2 + 2*q - 3 + 3*q**2 + 4*q**3. Determine k*o(d) + 3*m(d).\nAnswer: -d**3 + 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/4)\/(6\/(-8)). Let s(q) = q - 6. Let z be s(7). Let j be 15 + 0\/(z*-3). What is the highest common divisor of j and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-45))\/(43\/(86\/(-24)))*(-225)\/6?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27 - -21)*(-1)\/3. Factor -u**2 + 5*u**s - 110*u**3 - 4*u**4 + 106*u**3 + 4*u**5.\nAnswer: 4*u**2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}