diff --git "a/data/dm_maths/full_data/1183_11255.jsonl" "b/data/dm_maths/full_data/1183_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1183_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is n in -n**5\/5 + 1357*n**4\/5 - 93018*n**3 + 3209634*n**2\/5 - 1369305*n + 820125 = 0?\nAnswer: 1, 3, 675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w + 4. Let r(s) = 2*s + 5. Suppose -5 = -4*y + 11. Let u(g) = y*r(g) - 5*l(g). Let h(v) = -v - 5. Determine h(u(o)).\nAnswer: 2*o - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbuz when four letters picked without replacement from zbzzpzaujjzzabzbpj?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/7)*i)\/((i*i\/((i*i**(3\/4))\/i))\/i))\/(((i**6*i)\/i)\/i*i*i**(-2\/9))*(i\/(i\/(i**(-1\/5)\/i))*i)**7*i\/i**(-2\/3)*(i**(-5)*i)\/i assuming i is positive.\nAnswer: i**(-12119\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 9:36 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1 - 25) - (895 - 882)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 11*g - 14. Let l be t(10). Calculate the remainder when (-193)\/l - 6\/24 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93\/116 + -3\/58. Let o be (33\/(-9) + 3)\/(-2). Which is the nearest to o? (a) 0.1 (b) l (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29206473?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 411 - 410.97961. Round l to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q - 160. Let p be b(-40). Let j be 0\/(1 + 1 - 4). Suppose 4 = l - 0*l. Solve -2*d + 7 = -3*m - p*d, 3*m - l*d + 5 = j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-9))\/((-2)\/3). Let i be -3 - 0 - (-2 - q). Is i at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640204571.\nAnswer: 640204571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 561229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/3 - 50\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17412063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*l, 3*l = -2*m + l + 20. Suppose 2*z - 4*u + m = 0, 3*u = 5*z - 0*z - 13. Suppose 5*j + 2*g + 5 = 5*g, g - z = 0. Solve -8 = -j*s - 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*f**2 - 1 - 13*f**3 - 9*f**3 - 29*f**2 as y*f**2 + b*f**3 + l*f + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12252 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2977416\/419 + 7106. Let s = l + 884\/9637. What is the smallest value in -1\/6, 3, s?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2. Let v(i) be the second derivative of i**6\/120 + i**4\/2 + 11*i. Let f(s) be the third derivative of v(s). Give h(f(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/99)*l*(l*l**(1\/17))\/l)\/(l*(l**(-5\/12)*l)\/l)**(-13) assuming l is positive.\nAnswer: l**(58043\/6732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -172 + 177. Which is the second biggest value? (a) m (b) -5 (c) -0.4 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + (2 + -61 - (49 + -51))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 18. Suppose 5*w - 25 = -4*d, w - 15*d + 13*d - 5 = 0. What is the third biggest value in w, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -5.54857?\nAnswer: 2.219428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 5*s**2 - 3*s + 1. Give z(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 6. Let t(x) = -x. Let s(a) = -p(a) + t(a). Differentiate s(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000235927 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/(-4) + (-3 - -2) + 1. Let p be (0 + (-6)\/(-9))\/(r\/990). Is -57 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**5 + 205*q**4 + 390*q**3.\nAnswer: 5*q**3*(q + 2)*(q + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 29*s**2 - 150*s - 22. Determine b(-5).\nAnswer: 1453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/33 in -0.026, 3, -0.7, 5, -4?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -571203*f - 90094?\nAnswer: -571203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 11140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143 + -46. List the prime factors of b.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 + p**2 + 0*p**2 + (2*p - 2*p - 3*p**2)*(-3 + 3 + 6))*(5*p - 1 - 23*p - 13*p) - p**3 + 0*p**3 + 0*p**3 to u*p + c*p**2 + z + j*p**3 and give j.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7651670.\nAnswer: 2, 5, 13, 71, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 786.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g - 9. Let l(w) = 5*w - 19. Give 7*c(s) - 4*l(s).\nAnswer: s + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 11:16 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 2*r**3\/3 - r**2\/2 + 3*r + 8. Let z be j(0). Solve m - 11 = 2*o, -o + m + z - 11 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/171*(-6)\/8?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y = 12. Let j = 1 - y. Is (124\/(-2))\/(4\/j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -3 - 11 - -4 - 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -28*d. Let w = -105 - -141. Let k(j) = 4 - 40 - 5*j - 3*j + w. Give y(k(m)).\nAnswer: 224*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17 - (34 - (6 + 7)). Let v(f) = f**2 + 10*f + 10. Give v(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0.07 (c) 4 (d) -236\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0963529 to four decimal places.\nAnswer: -0.0964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -5 - 19. Calculate the lowest common multiple of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1538 and 8?\nAnswer: 6152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -231 or -233?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 + -61. Calculate the highest common factor of 1008 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69 - -34?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9325348+-2851.3\nAnswer: -9328199.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -230*f + 223*f. Let n be ((-208)\/(-2))\/((-5)\/(5125\/f)). Round n to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3 + 101436*l**2 - 1288184082*l + 51365193680 = 0.\nAnswer: 40, 25339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171*n**3 + 76*n**3 - 175*n**3)*(2*n**2 - 5*n**2 + 0*n**2).\nAnswer: 810*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1668 = 18*c - 1758 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23.2 + -23.2000433. What is s rounded to 6 decimal places?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 i when three letters picked without replacement from cdicddbcdndccdmbd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 40608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3*2*(2*sqrt(85) - sqrt(85))*-5)\/((sqrt(35)*-2*-5)\/(sqrt(63)*-1)))**2.\nAnswer: -72*sqrt(17) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*p - 21, 2*p - 11 = p - 2*w. Let z(b) = -b**3 + 10*b**2 + 12*b - 2. Let l be z(11). Let n = p + l. What is the remainder when n is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -7*m**6\/30 - m**4\/3 - 13*m - 12. Let b(n) be the first derivative of y(n). What is the third derivative of b(q) wrt q?\nAnswer: -168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 868355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 6*q**2 - 10*q - 5. Let x be f(8). Suppose -3*r = 103 - x. Which is bigger: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2550506 at most -2550503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -1, 4, -37, 2 in increasing order.\nAnswer: -57, -37, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2963, 2972, 3003, 3068, 3179?\nAnswer: 3348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*-1*9\/12. Let a(x) = -6*x + 8. What are the prime factors of a(h)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 24687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**0*g))\/g)**(-39\/5)*g\/(g*g**(1\/4))*g\/(g\/(g\/(g*g**(-2\/5)))*g)*(g*g**(1\/15)\/g*g*(g*g**(2\/7))\/g*g)\/(g**2\/g**3) assuming g is positive.\nAnswer: g**(7603\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 4, o: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Solve n - 1 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 + 11*a**2 - 22*a + 9. Determine u(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.96 - 0.04. Let t be 0 - (-3)\/9 - 0. Which is the closest to t? (a) 0.4 (b) 0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -610029?\nAnswer: 610023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 13*t**2 + 23*t + 160. Let a be f(-12). Let l(x) be the first derivative of a + 0*x + 1\/2*x**2. Let z(d) = -5*d**2. Determine z(l(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 99259309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17649747 is divided by 735404.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -113*a - 347*a + 2828 - 8348 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a. Let c(x) = 12*x - 2 - 6 + 11. Let p(b) = c(b) + 3*v(b). List the prime factors of p(4).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**6\/180 + z**5\/30 + z**4\/6 + 2*z. Let h(d) be the third derivative of i(d). Let y = -26 - -29. What is h(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/3 + 27376*n\/3 - 46840336\/3.\nAnswer: -4*(n - 3422)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 1. Let m(x) = x**3 + 9*x**2 - 13*x. Let p be m(-9). Let k be 4\/(-26) - (-603)\/p. Are h and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32\/40)\/((-1)\/(-95)). Let o be f\/(-304) - -6*13\/280. Is 11 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/7 (b) 388436 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002046 to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -51 + -4?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 16*w**2 - 12*w + 12. Let y be (-12)\/16 - (-392)\/(-32). List the prime factors of r(y).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/((-135)\/20250*-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 5. Let v(u) = -127*u**3 + 29 - 5 + 136*u**3. Let x(k) = -68*k - 345. Let d be x(-5). Calculate d*v(f) - 24*m(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 7:23 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000001001101111100 + 101?\nAnswer: -110000001001101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011584 take away 11?\nAnswer: -10.988416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17485783 to the nearest integer?\nAnswer: 4182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 0)**2 + -1.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34\/5 of a decade?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -20, -5*s + 10 = 3*m + 23. Suppose 3*j = 13 - m. Let k(u) = 7*u + 3*u - 5*u - 8 + j + u**2. Determine k(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4321 - 4?\nAnswer: -4325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 7831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16406491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*k*l**4 + k*l**2 + 115*k - l**4 - 5*l**3 wrt l?\nAnswer: -96*k*l - 24*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 324340 (base 6) in base 4?\nAnswer: 12210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 2 + 2 - 2 + 3.\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t + 12. Suppose 6 = 3*a - t. Solve 0 = -x + a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1326 + -4.1206. Let b = -21 + 17. Let j = b - w. Round j to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 15 = 0, -40*r = -36*r - 2*a + 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x + 2*x)*(-2*x + 0*x + x) + 3*x**2 + 3*x**2 - 5*x**2 + (2*x**2 + 5*x**2 - 4*x**2)*(2 + 2 + 5) + (3 - 3 - 2)*(-2*x + 2*x**2 + 2*x).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 t when three letters picked without replacement from {b: 5, o: 1, t: 8, w: 2, j: 3, h: 1}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 0*r + 3*r)*(-4*r + 3*r + 2*r) + (-341*r - 119266 + 119266)*(0 - r + 0).\nAnswer: 339*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + -4 + sqrt(4500) + (-4 + sqrt(4500))**2).\nAnswer: -9034 + 420*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*o - 5*l, -o + l + 2 + 1 = 0. Suppose -d - 5*m + 46 = 0, 3*m + 108 = 4*d + 4*m. Let n = 28 - d. Put -3, o, n in descending order.\nAnswer: o, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1462.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7774 (base 9) to base 5\nAnswer: -140422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105907063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1463 and 19437?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 32144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*n**2*y**2 + 2*n**2*y + n**2 - 48067*n*y**3 + 759*n*y + 5*n + 23*y**2 + 6*y + 2 wrt y?\nAnswer: 10*n**2 - 288402*n*y + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23397091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z + 3701\/4*z**4 + 1\/2*z**2 + 1\/3*z**3 - 2. Let y be j(-1). What is y rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10191 + -10200. What is the second biggest value in g, -2\/15, -2.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = -h - 112, 0 = 220*z - 222*z - 5*h + 28 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3968, -11507, -19046, -26585, -34124, -41663?\n\"Answer: -7539*b + 3571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47697469.\nAnswer: 23, 239, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2274*s + 71621 + 513952 = -9469*s + 125093 for s.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/(-78))\/(((-1056)\/(-5720))\/(18\/15)).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*s - 3031*s**2 + 44*s + 65*s**2.\nAnswer: -2966*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 12:48 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 28*r. Let l(y) = -932*y**2. Give l(u(j)).\nAnswer: -730688*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 74 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 723464.4ns in seconds?\nAnswer: 0.0007234644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8497889 to the power of 1\/2, to the nearest integer?\nAnswer: 2915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -4, 0.2, -0.53 in increasing order.\nAnswer: -4, -1, -0.53, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 3240\/297)\/((1 - -1)\/10)\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 2*i**2 + 10*i + 10*i.\nAnswer: -4*i**2 + 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 h, and 1 d when four letters picked without replacement from dagdggggdghghhggjgg?\nAnswer: 33\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*u = 126*u + 216. Suppose 18*j + u = 24*j. Calculate the least common multiple of j and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 20. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d - 1. Let u(k) = -9*k + 2. Let r(q) = 3*u(q) + 7*x(q). Give r(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*c - 2169, 3*b - c = -2*b + 2178. Suppose -b*t + 436*t = 0. Solve -1\/4*v**2 + t*v**3 + 0 + 0*v + 1\/4*v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1924038909245 + -6\nAnswer: -1924038909251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5 - 1 = 0. Suppose -4*a + d + 6 = 0. Suppose -2*l = a*l - 56. What is the greatest common divisor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30\/7568731 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-1 - -4) + 5 + -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/2*((-5)\/(-15))\/1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/5 (b) -0.5 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1604 - 1601. Let k(i) be the second derivative of 0*i**2 + 0 - 2\/15*i**6 + 1\/3*i**4 - 1\/5*i**5 - 3*i + 2\/3*i**q. Suppose k(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*j - 0*j - 21, 0 = 5*z - 3*j + 197. Let t = z - -64. What is the highest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122.19 + -1.19. Let x = g - 118. What is the second smallest value in -0.21, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 22, 51, 92, 145?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.159 + -0.202. What is o rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 771.2 and 6917.\nAnswer: 5334390.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12*(4\/(-3))\/(-4). Suppose -y*i - 48 = -6*i. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 8441970*k**2 - 5938769716251*k + 190049275595616.\nAnswer: -3*(k - 32)*(k + 1407011)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 133 - -4?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15880 divided by 397?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/20*(-230)\/(-102) and -41\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) + 3\/(-2). Let a(o) = o**2 + o - 1. Let c(f) = 2*f**2 + 6*f - 3. Give q*c(t) + 4*a(t).\nAnswer: 2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214075703.\nAnswer: 214075703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -3\/23681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39280170 - -84980170. Round f to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, l: 11}. What is prob of sequence wwl?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-1 + -6)) + -17?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1aede30 - 2?\nAnswer: -1aede32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3394\/7641 - 2\/7641. Let i = 1.4 - 0.4. What is the smallest value in i, b, 5\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m - 1 + 398*m**3 - 4*m - 2*m**2 - m. Is u(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133022 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:20 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*z - 3, 0 = r + 4*r + 2*z - 32. Let s = r + -4. Let j(i) = 19*i - 2. What is the tens digit of j(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2 = 3*h - 26, -2*h = -4*i - 22. Let t be (-1045)\/(-11) + -2 + h. Let x = 656\/7 - t. Is x less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2210\/3*x + 736 + 2\/3*x**2.\nAnswer: 2*(x - 1104)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + p - 9. Let r(k) = -5*k**2 + 9*k - 18. Let s(x) = r(x) - 2*y(x). Suppose s(d) = 0. What is d?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 4. Suppose -4*x + 6*x = 0. Solve x = -d - t*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l + l + 0*l)*(24*l - 24*l + 25*l**2) + 0*l - l**3 + 0*l + (8*l + 5 - 5)*(0*l**2 + l**2 - 2*l**2) as f + g*l**3 + m*l**2 + v*l and give g.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 46 + 11. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - p**2 + 2*p + 2. Let n be r(-2). Let j(a) = -a**3 + 2*a**2 + 4*a. Let o(w) = w**3 - w**2 - w - 1. Calculate n*o(d) + j(d).\nAnswer: d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260\/8645*945\/(-2970).\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -220672 + -44?\nAnswer: -220726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((4\/368)\/((-15)\/40)*35\/70).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*z + z + 4, -5*p + 26 = 4*z. Let q be ((-3)\/(-6))\/((-2)\/(-8)). Suppose 5 = -q*w + 13. What is the remainder when w is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (119\/(-833))\/(3\/357).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by (31\/2)\/((-68)\/(-272)).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -159 + -341 + 334 + (2 - -16)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -302\/5 - -60. Let d = -0.08 - 0.02. Which is the nearest to 6? (a) t (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from {u: 3, e: 2, g: 3, r: 2, p: 1, k: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111781 is divided by 2727.\nAnswer: 2701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -260*k + 48. Let o be q(-4). Let u be (-2)\/(-13) - (-5)\/(130\/o). Calculate the greatest common divisor of 28 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5)\/g**(-1\/10)*(g*g**(2\/23))\/g**(-1\/3) assuming g is positive.\nAnswer: g**(-2401\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5518.103 centuries?\nAnswer: 6621723.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6 = a + 5*r, 10 = -2*a - 5*r. Suppose -8*c - 560 + 4096 = a. Let g = -302 + c. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5 - 0, d = 3*s + 4. Suppose -d = -3*k + 2. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/59631847 and 63\/119263694?\nAnswer: 119263694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201133 - 2?\nAnswer: -201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.437653cm to micrometers.\nAnswer: 44376.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 24 = 3*z, -3*z + 22 = 5*g - 2. Let l be 3*(8\/(-4) - -3). Suppose l*c + c = 4*u - 168, 4*c + z = 0. Calculate the highest common divisor of u and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -j + c - 8 = 4, 37*j + 25*c = 36*j + 430 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 201507?\nAnswer: 201506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184369*5.2.\nAnswer: -958718.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + 0.7. Let p be 34\/(-6) + (-24)\/(-36). What is the closest to g in p, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*p + s - 14 - 4, 108 = 6*p + 5*s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 17*s - 9*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 10 = -4*r. Suppose 0 = 3*x + q - r - 5, -4 = -4*q. Factor -2*v**3 + v + x*v - 5*v**4 - 2*v + 5*v**2.\nAnswer: -v*(v - 1)*(v + 1)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 6*n**2 + 6*n - 5. Let j = 6 - 1. Let w be l(j). Let h(p) = -4*p + w*p + 3*p. What is h(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w + 28 = 0. Let y(u) = u - 6. Let r be y(w). Put r, 5, 4 in increasing order.\nAnswer: r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 0*v + 3*v)*(-1 + 6*v + 1)*(3 + 2 - 1).\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 (base 11) in base 12?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2007, -1905, -1827, -1779, -1767?\nAnswer: -1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 + u**2 + 2. Let g be j(2). Let m = -22 + g. Suppose t + 5*o = -12, t + 2*o + 3 + m = 0. Solve -14 = -2*y + 4*x, -2*x - 16 = -3*y + t*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2 + 0 - 4 + 3 + (-4 + 6 + 0)*(4 - 3 - 2) - 5 + 2 + 2 + 2 + 5 + 7)*(2 + 2 - 2)*(-1 - 2*f + 1).\nAnswer: -48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**23*u*u**(-4))\/(u*(u*u**(-6\/5))\/u)**(-9) assuming u is positive.\nAnswer: u**(91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -48229502 and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((32\/6)\/(5\/(-3)))\/((-1)\/10)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-1\/29))*z**20)\/(z\/(z*z*((z**(-2\/23)\/z)\/z)\/z))**3 assuming z is positive.\nAnswer: z**(9141\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 0.5, 62, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 112, 911, 2392, 4555, 7400, 10927, 15136?\n\"Answer: 341*y**2 - 224*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 41 (b) -3\/28 (c) 0.4 (d) 6\/107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.05349 litres to millilitres.\nAnswer: 24053.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 179 (b) 0.4 (c) -0.11 (d) 75 (e) 2 (f) -3 (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 8. Let r = 0.27 + -0.37. Is u equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 5*v + 24*v)*(4*v - 4*v - v)*(-2*v + 6*v - 3*v).\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -28697*w + 57353*w - 28892*w - 2 in the form b + i*w and give i.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 10 - 8*r)*(0*r**2 + r**2 + 0*r**2)*((6 - 4 - 3)*(1 + 0 + 0) + 5 - 1 - 3 - 1 + 0 + 0) to q*r**2 + o*r + b + p*r**3 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 13*q - 61. Suppose -762 = -q*z + 470. Let t(m) = -3*m - 2. Let n be t(-6). Calculate the highest common factor of z and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30062 is divided by 9973?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-3 + 3)) + -8 + (1 - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/28)\/((-30)\/420).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1266318479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.7202 milligrams in nanograms?\nAnswer: 43720200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 219654*a**4 - 50*a**3 + 20064*a**2 - 87*a.\nAnswer: 5271696*a - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1442022 + 1442034. Find q, given that 5\/2*q + 1\/2*q**2 - t = 0.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -64*o + 538. What is g(9)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1418716, -2837499, -4256282, -5675065?\n\"Answer: -1418783*p + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + (10 - 137) + 61.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 50\/13 + 4\/26. Let d be 3 + -1 + 0\/f. Let o be ((-24)\/36)\/(d\/(-60)). Solve 5*n + 2*k = -k - 25, -k - o = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (52\/(-16) - -4)\/(2\/16). Let c(v) = -14*v**2 - 24*v + 18. Let o(k) = -5*k**2 - 8*k + 6. Let t(w) = -6*c(w) + 17*o(w). Calculate t(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 10*x - 43. Let r be 9 + -12 + (-1 - 15 - -1). What are the prime factors of j(r)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.2, 4\/9, -20?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h + 1. Let y(m) = -m**3 - 10*m**2 + 2. Let i be y(-10). Let l(a) = a + 4 - 4 - i*a. What is 6*l(w) - n(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11 = -5*v - 0*v, -5*v + 2*y - 12 = 0. Does 8 divide (8 - 2)*(v - 57\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17854834 and 9962?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/54? (a) -1\/7 (b) 1\/3 (c) 1320\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 569 a factor of 20495395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -864*l**3 - 33017758*l**2\/5 + 15286*l\/5 = 0 for l.\nAnswer: -7643, 0, 1\/2160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*15)\/((-10)\/(30\/(-9))). Suppose -2*x - 51 = -6*x + 3*a, 0 = i*a + 25. Solve -4*c + x + 3 = -4*u, -u - 8 = -2*c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119560 is divided by 29851.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**5\/r))\/(r**(-15)\/r))\/(r**(3\/20)\/(r*r**(2\/31)*r)) assuming r is positive.\nAnswer: r**(9247\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -321992772 divided by -26832731\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -20, -1\/3, -3, -29?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26646 - 18117. What is the remainder when n is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 17607472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 16 (c) 0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -171, -2, -1, 5, 13 in decreasing order.\nAnswer: 19, 13, 5, -1, -2, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 387 - 385. Suppose x - 42 = 10*u - 11*u, 0 = -g*u. What is the remainder when x is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/224 and -145\/24.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4738 - -132611\/28. Let q(n) = -38*n - 3619. Let l be q(0). Let v = l - -14577\/4. Find the common denominator of o and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 7. Let r = -0.3 - -0.4. Let d = -1.3 + 1.1. Which is the smallest value? (a) r (b) p (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/9)\/(((1287\/650)\/(-33))\/((-27)\/(-12))).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 2478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 6*t**2 - 10*t - 11. Let m be f(-5). Suppose -7*p - 952 = -m*p. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 123 = 849. Suppose -x = -37*k + 35*k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.340038 rounded to 3 decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 9 - 2. Let p(y) = -y - 5. Let t be p(x). Which is greater: t or -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkvw when four letters picked without replacement from {w: 3, z: 2, k: 7, v: 3}?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447672 is divided by 111905.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n - 283 - 56 + 43 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-29)\/d*d\/(d\/d**(-29))*d**(3\/7)\/(d*d**17\/d))**(-1\/34) assuming d is positive.\nAnswer: d**(529\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and -1 + 8\/(-52) + (-550)\/(-26)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1124787\/224 = -5021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 522166, 522168, 522170, 522172, 522174, 522176?\nAnswer: 522178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 824 and 3944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s - 9*s - 9*s + 19*s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + g**2 + 5*g**4 - 3*g**4 - 4*g)*(2*g + 5 - 5).\nAnswer: 4*g**5 + 4*g**3 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1587702 to 3 dps.\nAnswer: -0.159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1234 (base 8) to base 15\nAnswer: -2e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34774508?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*f + 90*f = 41. Sort 5, f, -2 in descending order.\nAnswer: f, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 198*i - 73. Let d(c) = -66*c + 24. Let z(y) = -7*d(y) - 2*j(y). What is the derivative of z(f) wrt f?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**3\/3 + 4408516*v**2\/3 - 1214686128380*v\/3 - 1214690536900\/3 = 0.\nAnswer: -1, 551065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 100 in -1, -5, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/2 and -57\/88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -13, 22 in ascending order.\nAnswer: -13, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001331 - 223222?\nAnswer: -1231213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(176))\/(sqrt(9)\/(sqrt(12)\/sqrt(4))))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 19. Suppose 4*o = -s + 3, -2 = o - 5*s - 29. Suppose -11*b + 15*b = -24. Put o, b, 4, v in descending order.\nAnswer: 4, o, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 2 - v - 1)*(-1149*v + 1836*v + 1294*v) to the form f*v**2 + w + i*v and give f.\nAnswer: -1981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 - -187. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 6*y - 58 = -28*u + 108, 33 = 3*u + y - 3*y for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*s**2*u + 6269*s**2*z + 143080*s*u + 2*s*z wrt s?\nAnswer: 14*u + 12538*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 54132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by 378.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731594.\nAnswer: 2, 365797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x + 19*x + 929 + 559 = -1125 for x.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2\/2 - 2817*g + 16929\/2 = 0 for g.\nAnswer: -1881, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**7\/588 - h**6\/105 - h**5\/105 + 13*h**3\/6 + 12*h. Let x(r) be the second derivative of y(r). Factor x(i).\nAnswer: -2*i*(i + 2)*(5*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*w - 3758*w - 371657 = 0 for w.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 10:40 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6658.32 + 646.42. What is a rounded to the nearest 10?\nAnswer: -6010","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-7) - 10\/(-35). Let k be 1\/11 + 2912\/(-88). What is the common denominator of (-201)\/(-2)*h\/k and -35\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -364, 5, -1, -2\/5, 15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2. Let r(i) = -10652*i. Determine r(m(g)).\nAnswer: 10652*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 129, 111, 65, -15, -135, -301, -519?\nAnswer: -795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -535995 + 0?\nAnswer: -535995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2212222121 (base 3) to base 15.\nAnswer: -11ca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 20*r + 54. Let s be m(-22). Is (-1 + 43052\/(-8))*s\/(-25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*l + 401 = -119 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = t + 5, -2*t + 1 = n + t. Let y = -0.12 - -0.32. Suppose -9 = -l - 2*l. Which is the second biggest value? (a) y (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1996 = 105*s + 88*s + 452 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 335 by -5.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.009*-0.5.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - -3 - (0 - -1). Suppose -2*v + g = -0. Find the first derivative of 0 + 0 + 2*m + v wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68 - 75 - (-1 + 0)) + 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26981\/17990 - -2\/8995. Which is the second biggest value? (a) 130 (b) -4 (c) 1 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/624 and -29\/312.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33434 - -33437.4819. Let h = a + -3.24. Round h to two dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1660168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*c - 45*c - x = -13, -c - 4*c - 4*x = -85 + 59 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlzolzlkokokjoezjkjj. Give prob of sequence zoz.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*((3 - 2 - 2)*(i - 2 + 2) - 1 - 5*i + 1).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 39 + 96 + (40 - 100)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:02 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2 - 49. Let u(c) = -5*c**2 - 74. Let a(x) = 8*n(x) - 5*u(x). Determine a(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -h - 26842, -11*i + 9*i - 2*h = -10732. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38124*j**3 - 92327*j**2.\nAnswer: 228744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -54)*((-39)\/6)\/(-13). Calculate the greatest common divisor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 12 - 2*f + 5 - 4. Let u(x) = x - 2*x + 6 + 0*x. Let q(i) = -6*r(i) + 13*u(i). Let b(w) = w. Give q(b(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37004 + 1.78936.\nAnswer: -37002.21064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(2\/29))*(x**(-6)\/x)\/x)\/(x\/(x\/x**(-3)))**(1\/62) assuming x is positive.\nAnswer: x**(-14173\/1798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Suppose 18 = f*l - 0*l. Calculate the highest common divisor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 27 + -16 + -18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/((-1)\/16))\/1. Let a be (-21)\/7 - 26*-1. Let t = a + z. Solve 1 = -3*j + t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddjdjdcdeeevjjd. Give prob of picking 2 j and 1 d.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24564249.234672291 + 24566468.23467. Let n = j - 2219. What is n rounded to seven decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -566*k**2 + 2*k - 2*k + 588*k**2. Suppose 2*f + 2*f - 5*o - 1 = 0, -5*o + 35 = 5*f. Let q(m) = 4*m**2 + f*m**2 - 7*m**2. Determine q(r(h)).\nAnswer: 484*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = 5*n. Is ((-24)\/20)\/(n\/145) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4657 divided by 113043?\nAnswer: 4657\/113043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 1)\/2 + 11. Let x be (1 + 0)*(0 + 4). Suppose 4*w - k = 184, w - 20 = -x*k + d. Calculate the highest common divisor of 30 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -597, 349, -2\/5.\nAnswer: -597, -2\/5, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 203260098?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*n + 21 = 0, -3*f - 8 = -5*n - 37. Calculate the smallest common multiple of 8 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 147 = -0*o. What is the remainder when 555786\/1617 + (-4)\/14*6 is divided by o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.4827 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = -p. Let d = 2388 - 2388. Solve c - 3 = m + m, d = -p*m + 2*c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 127820 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 5:40 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 69 = 9*n, -5*c - 445 + 456 = n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66.364 and 1?\nAnswer: 66.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -19, -26, -33, -40, -47?\n\"Answer: -7*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**3 - 113*s**2 - 43*s + 108. What is n(38)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 - (-3)\/(3\/4). Suppose -2*j = -i + 12, 22*i - 15 = 27*i + 5*j. Sort -5, s, -2, i in decreasing order.\nAnswer: i, -2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*(sqrt(68)*-2 - sqrt(68)) + sqrt(68)))**2.\nAnswer: 108800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.5, -2, -17 in descending order.\nAnswer: -2, -2.5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**4\/4 + 2*s**3 - 2*s**2 - 8*s + 4534. Let k(b) = b**2 + 7*b + 5. Let q be k(-4). Determine m(q).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 0. Suppose 3 = -x, 5*s + 23 = 7*s - 5*x. Suppose 2*j + s = -4*d, 0 = -3*d - 0*d - 4*j - 3. Sort n, d, -2 in increasing order.\nAnswer: -2, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/(-14))\/(14\/(-49)). Let s be ((-1)\/(10\/12))\/(6\/x). Solve -2 = s*i + 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6522 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 3, 5.\nAnswer: -8, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -2, 2, 3, 88 in decreasing order.\nAnswer: 88, 3, 2, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -17, -25, -35, -47, -61, -77?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 9 = -3*n, 11*n - 12*n = -5*z + 17. Let v be (-2 - n - 6) + 7. Which is greater: 10\/67 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -2) + (6 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1794, -5, 2\/17 in decreasing order.\nAnswer: 1794, 2\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-21\/8)*n)\/n*n)\/(n*((n*n**(-12))\/n)\/n*n))\/((n\/(n**27*n))\/n**(2\/17)) assuming n is positive.\nAnswer: n**(4963\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + f = -0*f + 1, -4*l + 8 = -4*f. Suppose -l = -2*o + 9. Find the second derivative of 16*p**5 - 2*p - 3 - 19*p**o + 3 wrt p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 2236 - 86. Let p = f + -103. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1738, -1, 5 in descending order.\nAnswer: 5, -1, -1738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 17, s: 2}. Give prob of picking 1 b and 1 s.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 33860000 to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-22) - (210\/66 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/6 - 79*w\/2 - 118\/3 = 0 for w.\nAnswer: -236, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 29*f - 607. Let l be w(21). Solve l*t = -4*m - 8, -4*m - 3*t - 6 + 0 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/75964 and -97\/24710.\nAnswer: 134076460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/((c\/(c**1*c*c))\/c))**(-4\/7))**21)**28 assuming c is positive.\nAnswer: c**(-1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12020302101 (base 4) to base 16.\nAnswer: 188c91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -9. Suppose -12 = -5*b - q - 0, 0 = -2*b - 2*q. Suppose -b = -4*z + 5. Solve n = -z*n + l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(224) - sqrt(224))*-6 + sqrt(224) - sqrt(224))\/(sqrt(400)\/sqrt(2)) + 2)**2.\nAnswer: 144*sqrt(7)\/5 + 9172\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -19.000064. What is i rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 1)*(-2 - 1 + 2)*(8*i**4 - i**4 + 0*i**4).\nAnswer: 28*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/839, -1\/3.\nAnswer: -1\/3, -2\/839, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (79 + -89)*((-9)\/(-5) + -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/4, -5, 22\/5, 3 in ascending order.\nAnswer: -5, -3\/4, 2, 3, 22\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -278*f**3*i*y**2 + 136*f**3*y**2 - 9*f**2*i*y**2 - 2*f**2 + 3*i*y**2 - 7088 wrt f.\nAnswer: -1668*i*y**2 + 816*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3120 - 8068. Suppose 5*k - 4*k = 2*u + v, 3*k - 3 = 0. Let i = 1885 - u. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 7*j - 4. Let w be d(-8). Let c = 4 - w. Let g = 13224 + -13220. Solve -f + s = 7, -2*f - g*s + 1 - 3 = c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670*d - 370*d = 900 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -80073398.\nAnswer: -40036699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.915756421 to five dps.\nAnswer: -1.91576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21154235 to the power of 1\/2, to the nearest integer?\nAnswer: 4599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -84 (c) 7\/6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n - 3*n)*(-1 - n + 1) + (-2 + 2 + 1)*(n**2 + n - n) + 18*n**2 + 53*n**2 + 35*n**2 + (0*n**2 + 4*n**2 - 2*n**2)*(-4 + 4 - 1).\nAnswer: 107*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4365 - 4368.0023. Let l = -15.7553 - k. Let n = l + 12.7. What is n rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 - 22*w**6 + 6 - 2 + 11*w**2 wrt w.\nAnswer: -2640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 5:50 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 13, h: 3}. What is prob of sequence ll?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -181977 or -2\/3?\nAnswer: -181977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -n - 208, -4*i = i + n - 251. Find the common denominator of -67\/12 and (4\/(-24))\/((-9)\/i).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3424 (base 5) in base 12?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 9. Suppose 0 = 2*o - 6*o - 36. Let n be 26\/4 - o\/18. Let w be j(n). Solve -w*t + 3*t + 3 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let n be 6*6\/4 - 4. Sort 0, n, s, -1.\nAnswer: -1, 0, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24043 (base 5) to base 10.\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - v + 4. Let k = v + 9. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -0.2. Let k = 6 + -10. Put b, 0.4, k in increasing order.\nAnswer: k, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*t - 5. Solve -4 - 21 = -t*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 618469, 1237022, 1855575, 2474128, 3092681?\n\"Answer: 618553*z - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9510\/7, 50, 0.4 in increasing order.\nAnswer: 0.4, 50, 9510\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, t: 8, d: 2, x: 1, e: 5, i: 1}. What is prob of picking 1 x, 1 t, 1 d, and 1 i?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b700 (base 12) to base 13.\nAnswer: -73095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*p*u - p - 398312*u + 3378 wrt u.\nAnswer: -3*p - 398312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 56, 143, 304, 563, 944, 1471, 2168?\nAnswer: 3059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178 or 2500606?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -543*f**4 + 14*f**2 - 40*f - 6. Let w(l) = 1085*l**4 - 26*l**2 + 74*l + 11. Let q(c) = -11*i(c) - 6*w(c). What is the third derivative of q(m) wrt m?\nAnswer: -12888*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/11, -6.6, 1, -14, -1\/6, 0.3, 28?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9224085 divided by -15\nAnswer: 614939","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-10))\/3 + 204\/(-170).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1095 divided by 5\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(76)*-1 + sqrt(76))\/sqrt(4).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*g - 113 = 5*u - 171*g, -2*u - g + 103 = -7*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l**4 - 4730*l**3 - 371300*l**2 + 249640*l = 0 for l.\nAnswer: -158, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -6 (c) 0.8 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110001000100001111000000 - -10?\nAnswer: -1010110001000100001110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11004082 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -176 divided by 5\nAnswer: -176\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + -5 + -4*sqrt(2736))*-4.\nAnswer: 8 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*d**3*v**3 + 30*a**3*d**2*v**2 + a**2*d**3*v**2 - a**2*d**3 - 2*a**2*d**2*v - a**2*d**2 - 12685*d**3*v**3 wrt v?\nAnswer: 12*a**3*d**3 - 76110*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q - 4. Let w = 92 + -94. Let a(u) = 0 + 4 - 2 + 5*u + 2. Calculate w*a(i) - 3*y(i).\nAnswer: 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 206 and 654689218?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (7 - 12) + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 <= 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1\/3 (c) -3 (d) 2 (e) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 442*b**2 - 44*b**2 + 78*b**2 - 5.\nAnswer: 476*b**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.999818 - 31. Round l to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -157? (a) 2 (b) -3.9 (c) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36206521 is divided by 439?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/110)\/((-594)\/(-2673) + ((-98)\/36 - -2))\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 1. Let o(p) = -2*p + 6*p + 2*p**2 + 2*p**2 - 14*p**3 - 15*p**3 - 2. Let b(v) = o(v) + 2*w(v). What is the third derivative of b(t) wrt t?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 10:38 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 9664774*x - 9664769*x - 111*x**3 - 1 + 8*x**3 as n*x**2 + v*x + y + g*x**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**2 + 280515*z - 7856772 = 0. Calculate z.\nAnswer: -93533, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(3\/(-5))\/(18\/(-60))*(-4)\/(-14)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1115, -1224, -1333, -1442, -1551, -1660?\nAnswer: -1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 19 = -146. Let d = 243 + i. Is d a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/(sqrt(112)*5))\/((sqrt(1008) - (sqrt(1008) + 4*sqrt(1008)))*-3)*-6.\nAnswer: -sqrt(2)\/480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14314 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnanaxnaxxnxn. What is prob of picking 1 n and 3 x?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240462877 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 13. Let y = 10 - t. Let l(f) = 0*f + 7*f - f + y*f. Let r(c) = 2*c. Give r(l(m)).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2*(-22)\/792*9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 53670500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41134.6 kilometers to centimeters.\nAnswer: 4113460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23.5265 and 2837.8?\nAnswer: 2814.2735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1201*i**2 + 1 - 2*i + 0*i + 3201*i**2.\nAnswer: 2000*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 9\/2*k**2 + 1 - 4*k**3 + 3*k. Solve r(f) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 39*f - 310. Let z be b(10). Let g = z - 31. What is the highest common divisor of g and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y + 171 = 3*n, -5*y = 15. Calculate the remainder when n is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 10. Suppose 5*q = 4*q + 2. Calculate the smallest common multiple of i(8) and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(11) + -2 + -1)**2*-6*-1 + ((sqrt(88) - (-1*sqrt(88) - sqrt(88)) - sqrt(88) - sqrt(88))\/((sqrt(2)*-2 + sqrt(2) - sqrt(2))*-5))**2.\nAnswer: -108*sqrt(11) + 9011\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5363 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1346346.\nAnswer: 2, 3, 74797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/13 (b) 9 (c) -0.3 (d) -6\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5362 is divided by 278?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3148807685 to the power of 1\/3, to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 287 and 943.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1257652409.\nAnswer: 13, 41, 503, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 137196 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from fuplyxuylpyy?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818268 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 5*h**2 - 2*h - 1. What is k(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z - 7645*z**2 + 7661*z**2 - 13*z + 2*z.\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26376 and 672588?\nAnswer: 1345176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**4 + 780*j**3 + 5270*j**2 + 8220*j + 3725 = 0. Calculate j.\nAnswer: -149, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -671\/14. Let s(b) be the first derivative of 0*b - 2\/7*b**2 - 2 - p*b**4 - 2\/7*b**3. Let s(k) = 0. Calculate k.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 2*z - 138*z**2 + 134*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times -0.24921?\nAnswer: -0.323973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**3 - 7*i**2 + 7*i - 7. Let w(m) = 8*m**3 + 6*m**2 - 6*m + 6. Let v(z) = 4*z + 5. Let o be v(-3). Let l(r) = o*w(r) - 6*t(r). Factor l(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8091294?\nAnswer: 2, 3, 1348549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11*v + 124. Let x be b(-11). Let n(a) be the first derivative of a**2 + 1\/6*a**4 - x - 2\/3*a**3 - 2\/3*a. Solve n(u) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y + 388 - 60 = 7*y - 704 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(3*8\/12). Let u(w) = 6*w. Let m be u(a). Solve -6*g + m = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 f, and 2 a when four letters picked without replacement from {z: 6, f: 3, a: 3, d: 1, m: 2}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {k: 3, n: 9, i: 1, w: 6}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 6:44 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4235047 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.317 + -372.317. Let r = -371.999809 - o. Round r to five decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -648213*70\nAnswer: -45374910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*w - 44 - 52 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 4*y + 2. Let h be u(-3). Calculate the remainder when 16 is divided by 8\/40*5*(h - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -14.35. Let f = -45.65 - i. Let r = f + 45.49. Round r to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3501990 rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j - 85. Let i be a(15). Let b(x) = 5*x - 9. Let h(q) = 3*q - 5. Let y(l) = 4*b(l) - 7*h(l). What is y(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*d = 74398 - 59778 for d.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32521 is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3028, 2938, 2848?\nAnswer: 2758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(2057)*3)**2 - (5 + sqrt(17) + sqrt(425))**2) + -4 - (4 + (-1*sqrt(2448))**2 + sqrt(85)\/sqrt(80)*-2).\nAnswer: -117*sqrt(17)\/2 + 15420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19020 = 40*o - 35*o - 5*t, -5*t + 19060 = 5*o. Is o a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 444.516 grams?\nAnswer: 444516000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1042 = 208. Let m be (126\/(-15))\/(15\/u). Round m to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 1. Let i be q(1). Let f(x) = x**3 + 2*x**2. Let a be f(i). Solve -3*y - y + 8 = a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 8 + 2. Let y(v) = v**a + 0*v - 2*v + 3*v + 1 - v**3. What is the units digit of y(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kununuuuunuuususuuu. Give prob of sequence kn.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*d**2*w**3 + 36*d**2 + 4*d*w**2 wrt w.\nAnswer: -114*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/16 + (-3)\/(-8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 389489632 and 14952.\nAnswer: 4984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16122 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: What is ((-15110)\/2600 - 299\/(-52))\/((-21)\/15 - -1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 55*g + 490 = 26*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-350)\/(-15) - (-1)\/(-3). Let g be (60\/21)\/(12*10\/840). Solve -4*a + 3*u + f = 0, -3*a + 5*u + 0 = -g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + g = -37, t - 39 = 2*g + g. Suppose 4*m = 2*y - 130, 0 = -2*y + 3*m + 92 + t. List the prime factors of y.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/1*11 - 9464\/(-14196)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4059*b + 48706. Calculate o(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.348? (a) 240.26 (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*k + 5*i, -2*i + 16 = 4*k - 3*i. Suppose -82 = -k*a + 98. What are the prime factors of 1*a + (-36)\/9?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 55. Suppose 0 = -3*w + 4*w + y*h - 79, 0 = -h. What are the prime factors of w?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2. Suppose -2202 = -12*x + 9*x + 3*p, -5*x + 3676 = -3*p. Let y(m) = -1469*m + 732*m + x*m + 10*m**2 - 4. What is r(y(h))?\nAnswer: -100*h**4 + 80*h**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, k: 2, h: 6, f: 2, u: 4}. What is prob of sequence kk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.8 in 38, 5, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 + 0*i**3 + 3*i**4 - 6*i + i**3 + 3*i + 53 - 55 to d*i**4 + w*i**3 + k*i**2 + c*i + u and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - -115) + (-4 - (24 - 6)).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/60)\/((-1)\/4)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3609 or 3588?\nAnswer: 3609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -44 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1090.98 + 1100. Let s = 9 - p. Let t = 0.12 + s. Which is greater: 0.05 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 2:49 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4426810\/13 - -340172. Let m = 352 + w. Factor 2\/13*d**2 - 4\/13 - m*d.\nAnswer: 2*(d - 2)*(d + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -0*v - 3*v. Let j(l) = l**3 + 11*l**2 + 14*l + 3. What is the remainder when j(-9) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x + 45. Let k be u(9). Let l(w) = w**3 + 16*w - 2*w - 10*w**2 - 6 - 2*w. List the prime factors of l(k).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2 = -4*y - y - 37, -5*q - 66 = -7*y + 129 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/203 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -5, 173, -1, 0 in decreasing order.\nAnswer: 173, 5, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q, -111*f - 109*f - q = -225*f + 6 + 14. Let r = -0.8 - -0.3. What is the third biggest value in 3, f, 2\/7, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*r - s - 4, -4*s + 8 = -4*r. Let w = 0 - r. Let y be 12\/28 - (1 - w). Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 559476 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 405361 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 387009153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogo when three letters picked without replacement from {o: 2, g: 11, e: 2}?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -120101113 (base 5) in base 13?\nAnswer: -16354b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*o**2*s + o**2 + 2*o*s + 2*o - 21 wrt o.\nAnswer: -26*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -37*v**2 + 13*v + 39. Let x(h) = -9*h**2 + 3*h + 10. Calculate -2*a(k) + 9*x(k).\nAnswer: -7*k**2 + k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 660376 and 39997.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u**2 + 895*u + 122. Give n(112).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55551\/1652 - -13\/236. Let s = g - -33. Let k be (-1)\/(((-5)\/(-4))\/1). What is the third biggest value in -4\/3, s, k?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**5\/30 + c**4\/12 - c**3\/6 - c**2. Let k be t(2). Put -3, k, 4 in descending order.\nAnswer: 4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1009, 2020, 3031?\n\"Answer: 1011*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50 - 12?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 157306 + -78001. List the prime factors of t.\nAnswer: 3, 5, 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9440071 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 2:52 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-4)*8\/(-5) + -2. Find the third derivative of -5*t**2 - 2528*t**3 + 2565*t**3 + 4*t**u wrt t.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8 + (-38)\/(-152)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -47*w**3 + 377*w**2 - 139*w + 1043. What is v(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22560 and 69231?\nAnswer: 11076960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from bhbbhhs.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2904 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5788*i = 5786*i + 5*a + 4, 3*a = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 - 26*y + 29. Let s(a) = 2*a**2 + 9*a - 10. Let b(m) = 3*d(m) + 8*s(m). Give b(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*((0 - 2*o + 0)*(2 + 2 - 2) - 396*o - 302*o + 387*o).\nAnswer: -315*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 169694 = -179*c + 183*c, 127260 = 3*c + 3*l. Suppose 0 = -5*y - 47*f + 42*f + 70710, 3*y = f + c. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -30. Suppose -6*w + 20 = -j*w, 4*l - w = 55. Suppose -3*p = 5*g - 10*g - 34, 3*g = -l. Solve p*n = 4*x + 4, -n = -5*x + 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*(1 + 0\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -17*s + 1000. Which is greater: s or 60?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26088 rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297898?\nAnswer: 2, 7, 92707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 49\/4 of a millennium?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h - 20. Let v be f(-6). Let a(k) = 28*k + 3. Let t be a(-3). Let q = v - t. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*w - 2*o + 7*o, -3*o = 4*w. Let n(z) = 5*z + z + 20 - 22. Calculate the lowest common multiple of n(w) and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h + 8*h - h**3 + 2*h**3 wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3502737 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 + 13*r + 11. Suppose 7*a - 30 = 2*a. Let d be z(a). What is the highest common divisor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2262777962?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12579588 is divided by 571798?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 659 = b, 3*h + 3*b - 208 - 191 = 0. Suppose -4*z - 3*l = -44 - 160, 3*z - 3*l = h. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 16 = 16*i. Let r = 52 - i. Calculate the greatest common divisor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 - 60. Suppose -27 = -3*h - x. List the prime factors of (-48 - h)*2\/(-2).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2, 7, 5 in descending order.\nAnswer: 7, 5, 2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 + 58 + 32 + 48 - 7*u.\nAnswer: -7*u + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 431268119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29680 and 840?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39091362 by 307806.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3425764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2. Suppose -i = t + 7, -2*t - 7 = -8*i + 3*i. Let m(c) = -5 + c - 3*c + 3*c. Let r(x) = x - 6. Let n(f) = t*m(f) + 5*r(f). Give q(n(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2206*r + 2317*r + 101 = -454 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 657959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 5. Let s = -4 + 12. Suppose -f*h + 32 = -s. Calculate the least common multiple of h and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/((-6)\/(-2)) - -3. Suppose -10 = -f - 3*p, -3*p - 25 = f - r*f. Suppose f = -3*h + 82. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.57185 rounded to zero dps?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.516 in 3, -1.1, -9?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 42*i - 84 = 0. Suppose -2*y + f - 3 = 0, 9 = 3*f - 0. Which is the nearest to y? (a) -5 (b) -2\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.039, -96, -2, 1\/9.\nAnswer: -96, -4, -2, -0.039, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -34*r**2 + 2235*r**2 + 5*r**3 + 1848015*r + 216217755 + 3064*r**2 = 0. What is r?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1143402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 1)\/((-16)\/(-80)). Let s(y) = -y - 4*y**3 + 13 - 2 - 15*y**2 + 3*y**3 + b*y**2. Is s(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 2*l**6\/15 - 2*l**4 - 16*l**3\/3 - 6*l**2 - 11*l. Factor z(w).\nAnswer: 4*(w - 3)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 483286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**5\/60 - 23*s**3\/6 + 71*s**2\/2 + 3*s - 5. Let z(h) be the first derivative of t(h). Differentiate z(c) with respect to c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 33 = 2*l, -3*l = 2*l - 5*r + 70. Let u = 13 + l. Differentiate 0*o**4 - 1 - 6*o**u + 3*o**4 wrt o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -34. Let l = a - 15. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*n*t**2*x**2*z - n*t**2*x**2 + 23*n*t**2*x*z - n*t**2*z + x**2*z + x*z wrt x.\nAnswer: -52*n*t**2*z - 2*n*t**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 914\/4 + (-65)\/10 + 6. Is v\/30 + -7 - 1484\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 122 in -0.1, 2\/11, 1, 95.69?\nAnswer: 95.69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 558 and 1272798?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 - 5*z + 2. Let l = 45 + -40. What is the remainder when i(l) is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343251 (base 6) to base 16.\nAnswer: 724f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 19*v - 44. Calculate d(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v\/(v\/(v\/v**(-5)))*v)))**(2\/31)*v\/v**(-7\/4)*v**(1\/6) assuming v is positive.\nAnswer: v**(1277\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in decades?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**4 + 4*o**3 - 23920*o**2 + 135596123*o + 2.\nAnswer: -24*o**2 + 24*o - 47840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 18*v**3 - 13*v**2 - 3*v - 3. Let z(c) = -c**3 - 2*c**2 - 1. Let d(f) = -y(f) + 4*z(f). Let t be d(-1). What is the highest common factor of t and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2035810 and 95\/8244.\nAnswer: 36644580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2784*b**2 + 2784*b**2 - 110*b**3.\nAnswer: -110*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*b + 151?\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7338 rounded to 2 decimal places?\nAnswer: 1.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 7*o**2 - 3*o - 17. Let w be u(-7). Solve 2*s + 2*s = -4*g + w, -3*s - 27 = -3*g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4277043071 and 3.1.\nAnswer: 4277043074.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7310 - -7309. Put 0, t, 10, 2\/23 in increasing order.\nAnswer: t, 0, 2\/23, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z**3 + 7*z**2 - 4*z + 15. Let y(c) = -2*c**3 - c - 2. Let d(u) = -n(u) - 4*y(u). Determine d(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 5)*(88*n - 654 + 654) - 4*n + 2*n + 0*n + (0 + 4 - 2)*(-n + 0*n - n)*(1 + 9 - 3) in the form b + k*n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 38 + 46 - 77 + 244*b**2 + 7*b. Let d be z(-1). Suppose r = d + 286. What is r rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15566847 and 1995828.\nAnswer: -13571019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*n - 14. Calculate the smallest common multiple of 8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36742*f + 110135*f - 36723*f - 36719*f.\nAnswer: -49*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 9:20 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i + 4. Does 12 divide a(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790 + 38 = 1554*g + 766 + 36 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4\/6)\/(18\/783) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -738, -729, -714, -693, -666?\n\"Answer: 3*d**2 - 741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -245176679?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64267.\nAnswer: 7, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 5:38 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 377 - 438 = 4*p, -412 = 2*p + 4*x. Let o = 61 - p. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3718*s**3 - 21 + 3716*s**3 - s**4 + 18*s - 22*s as u*s**4 + p*s**3 + y*s + d*s**2 + n and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/15 - -1)*1. Which is the closest to -0.1? (a) 4 (b) -0.01 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 8 - 13. Let q(j) = 10491*j**2 - 14*j + 16. Is q(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 69? (a) 14.4997 (b) -10 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 14 + i + 11*i - 3*i - 2*i**2. Let n be x(10). Let q be -9998 - n\/(0 - -2). Round q to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 2 + 0*t**2 - 5*t**2)*(2*t**2 - 6*t**2 + t**2).\nAnswer: 18*t**4 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9}. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1192469511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.6 - 8.07. Let v = 0.17 + a. What is the second biggest value in 2\/3, v, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/2)*d\/(d\/d**(-1\/10))*(d\/((d**(-1)*d)\/d))**(15\/8) assuming d is positive.\nAnswer: d**(63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -5, 498, -40, 0.05, 3 in increasing order.\nAnswer: -40, -5, -1\/4, 0.05, 3, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33115141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120201200 (base 3) to base 12.\nAnswer: -16039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -d + 2*d, 0 = 4*r + 16. Let s = 238 - 224. Calculate the lowest common multiple of d and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79.08 + 83. Let o = 0.08 + b. What is the second smallest value in o, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.522 - -0.022. What is the nearest to 0.1 in l, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381594477.\nAnswer: 3, 11, 59, 195991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 65*1.048554\nAnswer: 68.15601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7252 + -4692. What is the greatest common factor of 40 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -184.49 + 174. Let t = x + 18.49. What is the third smallest value in t, -3, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 15. Suppose -3*n + q*n + 10 = 0. Let y be (17 - (3 + n)) + -3. What is the highest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by -9?\nAnswer: 59\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 68 - 86 = -2*c, -3*z - 36 = -5*c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(0\/(-1) + 25). Let w = 69 + n. Calculate the remainder when w is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 359262 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 1:18 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-346575)\/(-6) + ((-230)\/20)\/(-23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -9 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 9:42 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 35. What is the smallest value in 3, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z + 15*z - 48. Suppose 2*j - z*m - 9 = -7*m, 4*j - 5 = -3*m. Factor -5\/3*k**5 - 175\/3*k**3 - 125\/3*k**j - 55\/3*k**4 + 0 + 0*k.\nAnswer: -5*k**2*(k + 1)*(k + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (16\/3)\/(4\/(-18)*(-4221)\/201)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 519349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-8))\/(6\/12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, l: 1, k: 6, g: 8}. Give prob of picking 3 k and 1 g.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -96 in 1, 3, -73546\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oiho when four letters picked without replacement from jivvoivvovivvoohvvvo.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6769 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 30*w. Let a(p) = 42*p - 52020. What is a(f(i))?\nAnswer: 1260*i - 52020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*y**2 + 1668*y - 664 = 0. Calculate y.\nAnswer: 2\/5, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 3.9, 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 70 + 250 = 0. Let h be 4 + (305\/n - -4). Which is the biggest value? (a) 0 (b) h (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4\/4 + 3237*m**3\/4 + 28713*m**2\/2 + 34887*m - 133686 = 0. What is m?\nAnswer: -1061, -14, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**4\/4 + 3*n**2 + n - 1. Suppose 0 = 4*d + 1 + 3. Let h(j) = -5*j + 3*j + 3*j. Calculate d*c(t) + 6*h(t).\nAnswer: t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*m - 2*m. Suppose m*r = 3*d - 222, 3*d - 74 = 2*d - r. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5926113 and 3.\nAnswer: 5926116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**5 + 5*x**5 + 0*x**5)*(-1 + 3 - 3 + (-3 + 4 + 2)*(-1 + 3 + 0) - 3 - 3 + 4).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -80, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2396, -986, -1 in descending order.\nAnswer: 2396, 3, -1, -986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c + 0 - 13*c + 0.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvzrczrrvzzrzzcq. Give prob of sequence vqzz.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**2 - 3*l**4 + 831*l - 889*l - 4*l**4 wrt l?\nAnswer: -84*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.09 (b) 2\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*z**3\/9 + 12988*z**2 + 572648*z\/9 - 15520\/3 = 0. Calculate z.\nAnswer: -1164, -5, 2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, z: 8, g: 4}. What is prob of sequence ggu?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -118 - 47232\/(-451).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-12*(-782)\/(-204)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -903, -2144, -3385, -4626?\nAnswer: -5867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/11)*t)**(8\/5) assuming t is positive.\nAnswer: t**(16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 920*l**2 - 7*l - 6*l + 16*l - 2*l in the form v*l**2 + k + r*l and give v.\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-6))\/((-37620)\/1399464).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wbewwyywwwwwbwiw?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -92 or -5586\/61?\nAnswer: -5586\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u - 6*u - 8*u + 176*u**3.\nAnswer: 176*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 890 = -2*i + 3*v, 0 = -i - v + 219. What are the prime factors of i?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 0*z**4 + 1\/70*z**5 - 1\/1260*z**6 - 22*z + 2*z**3 + 0 + 0*z**2. Let c(d) be the second derivative of b(d). Factor c(w).\nAnswer: -2*w*(w - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43036.99cm in micrometers?\nAnswer: 430369900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 + 2212*h\/3 + 1059174.\nAnswer: -2*(h - 4401)*(h + 1083)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eteeeteteettee?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9400*b**6 + 283*b**2 - 5*b + 2.\nAnswer: 1128000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*y - 33*y - 33*y.\nAnswer: 56*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 73 = -201. Let k = -26 + b. Find the third derivative of -4*y**5 + y**5 + y**5 - k*y**2 - 5*y**5 wrt y.\nAnswer: -420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2174016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8070 - -11612. Calculate the greatest common factor of 184 and c.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130 (base 12) to base 4.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 66\/4*3\/((-36)\/(-8)). Solve 0 = 3*g - 4*k - 14, t = 2*g - 0*k - 3*k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549.1135l in millilitres?\nAnswer: 549113.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 175365*w + 64 - 43.\nAnswer: -175365*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 + 50 = 0. Let h = 43\/2 + d. Which is smaller: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10 - 17\/(-5). Suppose 4*l = -2*v + 382, 3*l - 2*v - 254 = r*v. Let h = -65 + l. Calculate the remainder when h is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3994843 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*f**3 + 32*f**3 - 5*f**4 + 9*f**2 wrt f.\nAnswer: -120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-39)\/(-26) - (-1)\/(-2). Let y be 3\/(-9) - r\/(-3). Let b = 7 - y. Calculate the remainder when b is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-49) - 12725\/(-40529125)\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 4*l**2 - 8*l - 2. Let d = -164 + 170. What is h(d)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1221961039 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24465?\nAnswer: 3, 5, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 8, 6*l - 3*l = -5*r + 4358. Does 46 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -1, -1\/6, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5672 is divided by 585\/390 - 82\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 3)\/(3 - 2). Let u be f*2 + 710\/(-105). Let k = 24\/7 + u. Which is the third smallest value? (a) k (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 444349339 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 15 = -4*c + 4*l, -5*c + l - 24 = 0. Let h be 0\/c + 2 + 1. Solve 3*x = 15, 4*o + 6*x = h*x + 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-34\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - o + 4. Let m be g(0). Suppose -i + m = -0*i. Suppose v - 120 = -i*v. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*s - 24*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 14 = -3*c - 1, 3*n = 5*c - 17 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1.075. Let r = 0.0474 + m. What is r rounded to three decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-18)*(p*p**(1\/15)*p)\/p*p)\/((((p**(-3\/14)*p)\/p*p)\/p)\/(p\/(p\/(p**(-1\/11)*p)))) assuming p is positive.\nAnswer: p**(51259\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (11 - -1)*-1. Let i = p - 33. Does 15 divide 18*i\/(-6) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*b - 30, 4*f = -b + 2*b + 23. Let j = b - -27. Calculate the remainder when 253 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/6))**(-2\/11)\/(g*(g\/(g**(-2\/5)*g))\/g)**(1\/6) assuming g is positive.\nAnswer: g**(-12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 33?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1784, 1783, 1782, 1781?\nAnswer: 1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*l + 71. What is the remainder when 53 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/4? (a) 0.4 (b) -2.8 (c) 8\/3 (d) -8 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.354 and 34973.\nAnswer: -222218.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049497 rounded to three dps?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 5*v**2 - 2. Let n be p(-5). Let t be (3\/((-6)\/n))\/((-10)\/6). Let j = 8 + -5. What is the closest to j in -4, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11, 5, -7, -25, -49?\n\"Answer: -3*h**2 + 3*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/85)\/((-8)\/20)*12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-3))\/s*s\/(s*s**(-6)*s*s))\/(s**(1\/3))**7 assuming s is positive.\nAnswer: s**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + 1 + sqrt(2) + -1)*1.\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0 - -5 - 7) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47660 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5654 + -5651. What is the remainder when 37 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggggt. What is prob of picking 4 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/11 - 3040\/209. Suppose 4*i = -10 + 26. Let w = 3574 + -3571. Put i, w, v, -2 in increasing order.\nAnswer: v, -2, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from {t: 2, y: 6, g: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -4. Let b(r) = -r**2 + 20*r - 49. Let h be b(16). Let g = p + h. Solve -x + g = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 620, 3, 2, -8 in decreasing order.\nAnswer: 620, 3, 2, 1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-12)*1\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 14*d**3 + d**2 - 2*d. Let f be u(3). Suppose -3*z + 0*z + f = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/24 + -2 - 605\/484.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 475? (a) -2\/3 (b) -0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2 + 33*v + 30. Let g be m(9). Solve -g*y + 2*o + 4 = -0, 5*y + 2*o = -20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*c**4 - 2 + 4*c**3 - 2*c**3)*(82*c - 203*c - 392*c).\nAnswer: 2565*c**5 - 1026*c**4 + 513*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000654582 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 9:17 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 35. Let w be d(-6). Find the common denominator of ((-25)\/(-3) - w)\/(25\/30) and -48\/25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w. Suppose -3*s + 0 = 5*k - 25, -22 = -k - 4*s. Let h(t) = 3*t**2 + k*t**2 - t**2 - 7*t**2. What is r(h(z))?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2267*s + 4535. Calculate c(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -12*v**2 + 116*v - 104. Let h(g) be the first derivative of 8*g**3\/3 - 77*g**2\/2 + 69*g - 14. Let j(y) = 8*h(y) + 5*q(y). Factor j(n).\nAnswer: 4*(n - 8)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.12 + 5.32. Is -2917 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -438 - -443. Put a, 21, 1 in ascending order.\nAnswer: 1, a, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h = -4. Let c = 3 + h. Solve 0 = r - c + 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 630358, 630450, 630542, 630634, 630726, 630818?\nAnswer: 630910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 96*m**3 + 44*m**2 + 44*m + 44. Let s(a) = -a**3 - a**2 - a - 1. Determine -2*n(x) - 88*s(x).\nAnswer: -104*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/60 - t**4\/3 - 2*t**3 + 3*t**2. Give k(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.3 - 9.1. Let z = -27.4 - c. Let w(k) = 4*k**3 + k**2 - k + 1. Let u be w(1). What is the third smallest value in u, -2\/5, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-252)\/45 + (-3)\/(-5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2991 + -2989. Let w = 0.3 + -4.3. Which is the third biggest value? (a) w (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147975 and 1905?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 4*h + 6. Let u be o(-6). Let x = 10 + -20. What is the units digit of x\/(-35) - u\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/9)\/g)\/g*g*g*g**2*g**(-2)*g**(2\/5) assuming g is positive.\nAnswer: g**(13\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*b**2 + 730*b - 730*b.\nAnswer: 29*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**4 - 8224*y**3 - 3964504*y**2 + 269985696*y - 4310972964 = 0.\nAnswer: -1059, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 456*h - 20851. Give y(48).\nAnswer: 1037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 671866.\nAnswer: -10\/335933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 2*d - 4*f = -4, 5 = -5*f. Suppose 42 = 4*q - 2*h, -2*q + d*h = -6*q + 62. Solve 3*c = -2*s + q, -4*s = c - s - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1699.21 and 0.4.\nAnswer: -679.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from {u: 2, y: 1, d: 1, s: 1, j: 1, g: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 40, -1, -15, -2\/14555?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsvffsavfaqfsffvsfa. Give prob of picking 2 f.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2086\/(-396) - 4\/(-18) and (-18 - 784\/(-42)) + (-287)\/30?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23700 and 360.\nAnswer: 142200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 25*m - 13*m. Let v(a) = a**3. Let y(q) = -4*q**3 + q + 2. Determine m*y(s) + 3*v(s).\nAnswer: -s**3 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 3, 3*y - 40*n + 43*n + 3 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-18) + (-112)\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 8. Let m = -7 - z. Suppose -3*s = -0*c - 4*c - 17, -5*s + 39 = 4*c. Solve -4*u = 5*o + 8, -3*o - s = u + m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44989, 44996, 45003, 45010, 45017, 45024?\nAnswer: 45031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3650674 and -2.4.\nAnswer: -3650676.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 28*w**3 + 3*w**3 - 72*w**2 - 71*w**2 + 144*w**2 to b*w**3 + l + q*w**2 + z*w and give b.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 4:45 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 610 + 1654 = 3*t, 2284 = 3*t - c. Suppose 197 + t = 24*w. What is the remainder when 75 is divided by w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1755 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 - -7 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/64*1*3878\/5817.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/28*(123 + 5876).\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0061118 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3224\/253 + -2657751\/2024. Let g = -1313 - h. Let o = 18504 + -518225\/28. What is the common denominator of g and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = r - 0*l - 17, 27 = r - 5*l. Suppose -p = -r*p + u + 154, -3 = -3*u. Let a = -475 - -537. What is the highest common factor of a and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 - -119 - (977 + -959)\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/4310 and 27\/21550.\nAnswer: 21550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from jjeoue.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -12*w**2 - 6*w - 1. Let x be t(-3). Let k = -35 - x. Let h = k - 18. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3218 is divided by 226?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 0. Let v = -126 + 128. What is the units digit of ((-1)\/v)\/(j\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/3*(-288)\/80. Suppose -5*u = -17 - 23. Let r be (u\/w)\/2*-645. What is r rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**(-1\/6)\/b)\/b))\/b)**33 assuming b is positive.\nAnswer: b**(143\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 28. What is the highest common divisor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104146 = -52175*w + 50964*w for w.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 - 350616*z - 27717387 = 0.\nAnswer: -79, 116951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 + -61. Sort -1\/2, h, 1\/5, 25 in descending order.\nAnswer: 25, 1\/5, -1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((2 + -3)*0)\/1. Let n = 1 + -1. What is the second derivative of -o**5 + n*o + c*o**5 + 2*o wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2239\/20 - 112. Let g = -0.3 - -0.2. Let s = -288.6 - -289. Put s, g, w in decreasing order.\nAnswer: s, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-8)\/p**(-1\/8)*p\/(p*p**(-2\/21))*p**(2\/3)\/p)**(-1\/70))**(3\/4) assuming p is positive.\nAnswer: p**(1363\/15680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 156 = -4*r, -3*h + 36 = -r + 6. Let v = 56 + r. Let l be (-1*1)\/(19 - v). What is the nearest to 0 in 5\/3, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28, 29, 30?\n\"Answer: v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**2 + 102*s + 4. Calculate z(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -179676370.9 rounded to the nearest one hundred thousand?\nAnswer: -179700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b97 + -5b?\nAnswer: -2c03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - 3*u + 2*u)*(43 + 21 - 19) + 17078 + 74*u - 17078 to v*u + t and give v.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 408645 and 2025.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/y**(1\/3)*(y\/(y\/(((y*y*(y\/y**(-3\/2))\/y)\/y)\/y)))\/(y*y**(4\/3)))**(-2\/17))**(-10\/9) assuming y is positive.\nAnswer: y**(-130\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1170 + -1009. What is the remainder when u is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/767 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -67, -402, -1171, -2590, -4875?\n\"Answer: -36*m**3 - m**2 - 80*m + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -4*p**3\/3 - 34*p**2 - 837*p. Calculate k(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 + 8*m + 12. Let p be 6 - (-3 + (-3 + 2)*-4). Let r be g(p). Suppose -r*c + 10 = -s, 4*s + 8 = 2*c + 2*s. Solve -u + c = 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1344946563.\nAnswer: 3, 31, 149, 32353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**7\/280 + n**4\/24 + n**3\/6 + 2*n. Let x(r) be the second derivative of m(r). What is the first derivative of x(g) wrt g?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 609596548*i**2 - 93*i - 6427.\nAnswer: 1219193096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75428251\/288359568 + 2\/667499. Calculate the common denominator of -11\/3618 and o.\nAnswer: 28944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 211 - 30. Let p = o + -171. Solve -5*q + 9 = i - p, 5*q = -3*i + 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1956 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 82*m**2 - 1 - 4014*m - 1 + 4015*m - 1.\nAnswer: 82*m**2 + m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0412565 to 4 decimal places.\nAnswer: 0.0413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of -3 - 9\/(27\/(-138))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672 + 1367 - 12*x - 351 - 344.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 128524.1 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 51 = 5*j, -j - 23 = -2*o + 4. Let w = 7 - 0. Let b = 3 + w. What is the least common multiple of o and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cczcooccoz. What is prob of sequence ocoo?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -29648.133 rounded to the nearest 1000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n + g + 136 = 0, 0 = 3*n + 2*g - 204. Let j = 16 + n. Calculate the highest common factor of j and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4463 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 10*l**2 + 2*l + 3. Suppose -335*j = -336*j - 9. Give k(j).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-35)\/(-10) - 3)\/(1\/6). Let g be (-2 - -1)\/((-2)\/10). Let u be 2\/(-4)*(-8)\/20. What is the smallest value in u, q, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 9*y**2 + 6*y - 1. Determine r(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-744)\/2)\/(-31))\/(-1 - -2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*c + 4. Let p(s) = -s**3 - 5*s**2 - 4*s - 5. Let y be 5\/3*3\/(-1). Let m be p(y). Solve 2*t = -z - c*t - m, 4*z + t = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (184\/(-6))\/((-3)\/(-9)). Suppose 10 = 2*f, 0*h + 3*h = -2*f + 10. Let a be (0 - y) + h - 2. Calculate the highest common divisor of 30 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64775717.54 + 43.5\nAnswer: 64775761.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 1\/5, 14\/5, -0.4, 0.64 in decreasing order.\nAnswer: 14\/5, 0.64, 1\/5, 2\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 22002?\nAnswer: -22013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.22 - -9.22. Let y = i - -3. What is the third smallest value in -0.5, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 182 - 145. List the prime factors of g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + a = 3, 3*f - 33*a = -32*a - 3. Which is smaller: f or -489?\nAnswer: -489","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - (-2622)\/(-76))*70?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61498 is divided by 326?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 28*g - 36 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -25, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 162.9 + -176. Let f = 13.257 - -0.743. Let v = f + a. What is v rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 22. Suppose 6*f - 3*f - 135 = o. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92*(176\/(-64) + (-5 - -8))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 0*u**4 - 1\/60*u**5 + 20*u**2 + 0*u + 0 + 0*u**3. Let g(f) = -f**2. Determine g(z(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 5*a + 3. Let b be z(6). Suppose 0 = b*x + 10 - 82. Suppose 5*i - 27 - 53 = 0. Calculate the greatest common factor of i and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101004005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -25 - 17) + (-1 - -14).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 y when three letters picked without replacement from yrryrryryyrryrqrrq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38238, 76844, 115450, 154056, 192662, 231268?\n\"Answer: 38606*w - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 600560159 to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - ((-1 - 5 - (-33 + 51 + -26)) + -36).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 10*f + 15 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(f - 3*f + f)*(2 + 3 - 6) + 2*f - f - 2*f + 0 + 0 - 3*f + (1 + 0 - 2)*(2*f - 2*f - f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81676715*r**4 + 197475*r + 160.\nAnswer: -980120580*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1159297 and -1159345 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 9*q + 11. Let m be i(-8). What are the prime factors of (-4 + m)*(0 + -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6216 divided by 56?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o*o**(2\/15))**24*o\/(o*o**7)*(o\/o**(-4\/9))\/o*o**(-5)*o**(-3\/2)\/o assuming o is positive.\nAnswer: o**(-3137\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -4*r + 84, 6*r - 203*f - 39*f + 243*f - 126 = 0 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u - 11 - u**2 + 11 + 13. Suppose -a + 6 = 3*x, 4*x - 84 + 108 = 4*a. Determine h(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m. Suppose -5*a = 4*q - 2, 4*a + 8 = 2*q - 6. Let p be v(a). Suppose -37 = -p*b - 2*z + 25, -b + 5*z = -32. Solve -3 = 4*d + b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**3 + 12*p**3 + 0*p**3.\nAnswer: 25*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b (base 13) to base 3.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 246, 5, -1 in descending order.\nAnswer: 246, 5, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1611 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - q + 13. Suppose -r + 5*h - 24 = 0, 3*h + 2*h = -3*r - 12. Let a = r + 9. List the prime factors of m(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 8:37 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77298.59741 + -77299. What is l rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 7:44 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 6, n = f + 154 - 869. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 324ee - f?\nAnswer: 324df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h**3*l**2 - 553*h**3 + 10*h**2*l**2 - 60*h**2*l wrt h.\nAnswer: -42*l**2 - 3318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(1\/50)\/o))\/o)**29*(o**(-1\/10)*o*o)\/o*o*(o**(-5\/3)*o)\/o)**39 assuming o is positive.\nAnswer: o**(-338\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -64. Suppose 7*y = 10*y - u. Is y 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 0 - (-2 + 6) - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196463394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390652415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 11*m + 1. Let u be q(11). Let r(z) = 1048*z + 1. Is r(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/sqrt(1000).\nAnswer: sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 23*o + 143. Let t be v(-15). Let s = t + 202. Solve 3*g + 1 = 2*i - s, g + 3 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i - 70 = 4*b, -4*b - 2*i - 72 = 0. Let o(w) = 6*w**2 + 33*w - 15. What is the thousands digit of o(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -0.4105 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/24)\/((-27)\/84)*162\/756.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**5\/60 + j**4\/12 - 2*j**2. Factor r(x).\nAnswer: x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11369, 22738, 34107, 45476, 56845?\nAnswer: 68214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from 126.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7903.2 and -0.0168.\nAnswer: -132.77376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -321\/4 or 0?\nAnswer: -321\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 7:09 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 244 = -5*p. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4734 - -4736. Solve 5*k + 39 = 5*h + 44, 2*k = h + o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*y = -2*f + 283, 0 = -5*f - 2*y + 495. Is f a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0386840947 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -43. Let w = z - 3.04. Let p = w - -0.084. What is p rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2979 and 1.096.\nAnswer: 1.3939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5.1. Let l = -7 - -6.3. Let j = -1 - l. What is the smallest value in 6, j, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 30 + 15 - 37 + 20 to s*d + v and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, n: 4, k: 5}. What is prob of sequence wkn?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23910*p**3*x**3 + 3*p**3*x + p*x**3 + 31*p*x**2 + 160*p*x - 2*x**3 + 2*x wrt x.\nAnswer: 143460*p**3 + 6*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 6*h**2 + 2*h. Let d be w(-5). Let i be (d\/9)\/(2\/6). Suppose i*n - n = l + 15, l + 3*n = 20. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1309614 - 0.131. What is a rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10424 (base 7) to base 5.\nAnswer: 40430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 3*r**6\/70 + 57*r**5\/140 + 4*r**4\/7 - 8*r + 10. Factor j(n).\nAnswer: 3*n**2*(n + 1)*(3*n + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -0.1. Let h = 0.168 + -0.168. Which is smaller: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a - 4*f - 50, 4*a + 4*f = 140. Suppose -a = -2*i - 0. Let c = i + -16. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.7 - 3.9. Let h = t + -0.84. Which is the closest to 1? (a) 3\/4 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5916 and -7374?\nAnswer: -43624584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6193*l**2 - 1495*l + 15111443 wrt l.\nAnswer: 12386*l - 1495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (2 - (8 - -1)) + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12.7, 46, 1174?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 151279 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -131828255 + 0?\nAnswer: -131828255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*r - 13, -3 = -5*w + 2*r + 7. Suppose d + h = w, 0 = d + 4*d - 5*h - 30. Solve -d*x = -x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1128830 take away -3.9692069?\nAnswer: -1128826.0307931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/40 and -58\/1952535.\nAnswer: 15620280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 134170 or -35?\nAnswer: 134170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 505884.8 kilograms?\nAnswer: 505884800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**4 + 0*u**3 - 2*u**2 - 3*u**3 - 2*u + 4*u**3 + 3*u to q*u**3 + p*u + l*u**4 + a*u**2 + y and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5220, 10442, 15664, 20886, 26108?\nAnswer: 31330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7834243 litres in millilitres?\nAnswer: 783.4243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 3. Let p be (0 - y)*18\/2619. Let s = 2611\/1164 + p. Calculate the common denominator of s and 11\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 201 + 89 = 0. What is the remainder when 171 is divided by t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 5. Suppose 4*s - 11 = -5*b, 2*b = -5*s - 3 + 21. Let j = 13\/40 - -3\/40. What is the nearest to -1 in s, w, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81 + 29 + 73)*(2 - 2 + r)*(1 + 6 + 2)*(0*r**2 + r**2 + 0*r**2)*(-5 + 24 - 3).\nAnswer: 26352*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -365185 (base 14) to base 4\nAnswer: -13011213101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**2 + 6384*a - 90160 = 0.\nAnswer: -1610, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + 1*(2*sqrt(176) + sqrt(176)) - (-1 + sqrt(176)*-1 - sqrt(176)))*5)**2.\nAnswer: 1200*sqrt(11) + 158425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.320720171 to 4 dps.\nAnswer: -0.3207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -3. Let y = 15 - n. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36890 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 102 = -3*d. Suppose 3*q = d - 12. Suppose -4*p = -202 - q. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -73, -135, -197, -253, -297, -323, -325, -297?\n\"Answer: t**3 - 6*t**2 - 51*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72696366 to the power of 1\/2, to the nearest integer?\nAnswer: 8526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 16*p**2 + 6*p**2 + 7*p**2 - 30*p**2. Let o(r) = -1 + 1 + r**2 + r**3. Calculate -3*b(t) - 3*o(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7868 + -23608\/3. Which is the second smallest value? (a) 8 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2*432\/81 - 2. Which is the nearest to 1? (a) 0.3 (b) l (c) 27 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 6:48 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, -32, 327 in descending order.\nAnswer: 327, 10, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45321 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1107 times -0.03148\nAnswer: -0.003484836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192 - 192. Let y be ((-8)\/(-40)*d)\/(-2 + -1). Let u = 0.35 - 0.3. What is the biggest value in 2, -4, u, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 35.426.\nAnswer: 21.2556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, 5, -4, -2 in increasing order.\nAnswer: -4, -2, 5, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z + 2. Let d(l) = -l + 2. Let t(n) = 6*d(n) - 5*j(n). Let w(c) = 1. Let i(a) = -t(a) - 5*w(a). Calculate i(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*l + 961, -4*l + 629 + 139 = 4*w. Let m = -42 + w. Suppose -m = -4*q - 0*y + y, y = -3. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22244124833 and 28.\nAnswer: -22244124805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 37. Let z be (-84)\/(-112)*(-8)\/i. What is the first derivative of -13 + 6*j**2 - 4*j**2 + 0*j**z wrt j?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153483?\nAnswer: 3, 11, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w - 21 = 0. Let s(q) = 2*q + 10 - 2*q**2 - 5*q - 4*q + 4*q**2. Is s(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 23*z**2 + 11*z - 55. Is f(21) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -359 (base 13) to base 12.\nAnswer: -405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/4 + (-1)\/4 + 60. Let c = 69 + m. Calculate the greatest common factor of c and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*q - 248188 = -248956 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhsu when four letters picked without replacement from hhsoufoolohs?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 46*z. Let o(k) = 7*k**2. Calculate l(o(i)).\nAnswer: 322*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (6 - 8) + 11 + -4 + -19?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 12. Let b be m(0). Suppose -5*u + 5*s = 20, 0*s - 3*s + b = 3*u. Let f = 0 - -2. Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r - 33. Let t be z(6). Let o be (t + -14)*(-20)\/(-2). Which is the closest to o? (a) -4 (b) 2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7995 or 7984?\nAnswer: 7995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29\/105 - -2\/35. Which is the closest to -1\/2? (a) 0.1 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + t**2 - t - 2. Let w be 12 - (2\/9 - (-2)\/(-9)). Let f be (-1)\/5 - (-31)\/5. Suppose w = 3*i + f. Determine o(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Suppose 6 = 4*t - v*t. Solve -4*l = t + 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-284)\/12 + 1\/(-3). Let n = 25 + m. Let d(t) = 7*t**3 - 2*t**2 + 2*t - 1. Let l be d(n). Solve -l = -i - 5*r + 7, 0 = i + 3*r - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 473.4574 millilitres?\nAnswer: 0.4734574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*g + 75*g = 0. Let q(h) be the first derivative of 2 + g*h**2 - 2*h + 0*h**3 + 5\/4*h**4. Differentiate q(r) wrt r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 511747982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**6\/120 + y**5\/30 - 2*y**2 - 3. Let u(k) be the second derivative of s(k). Suppose u(p) = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 48 = 54, -5*m = -5*a - 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(0 - 2\/3). Find the third derivative of 29*r - 29*r + r**3 + 3*r**q wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -2252?\nAnswer: 2314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6)**(-45) assuming v is positive.\nAnswer: v**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 10:56 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -27 and 5892232?\nAnswer: 5892259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.9. Let z = y - 1.6. Let w = -23\/20 + 3\/4. Is w bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-220)\/(-10) + (48910 - 5)?\nAnswer: 3, 47, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 4*c - c)*(59 + 5 + 13).\nAnswer: -154*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 16. Calculate the least common multiple of b and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 0.048?\nAnswer: -0.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16764571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1962808 and 1712.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1041014 - -4?\nAnswer: -1041010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 11) in base 7?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.41 (b) -1\/4 (c) 1\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 + 4*y - 20. Let l be i(6). Calculate the greatest common divisor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 28*g**2 - 108*g - 14. Let w be d(4). Sort w, 1\/3, -487, 7 in increasing order.\nAnswer: -487, 1\/3, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**4\/3 - 3*r + 3. Let y(a) be the first derivative of v(a). Let c be y(-2). Solve -2*d - 16 = 3*d - g, -2*g = 2*d + c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -343044, -343111, -343274, -343581, -344080, -344819?\nAnswer: -345846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.62 + -0.8. Let i = o - -1.18. Let p = 0.1 + -0.1. Which is the third smallest value? (a) i (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4482900 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 - i. Let s(z) = -3*z**3 + 4*z**2 + 2*z - 16. Give -4*r(o) - 2*s(o).\nAnswer: 6*o**3 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1382938 - -0.6.\nAnswer: 0.7382938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 474469182 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 19. Let q be u(-15). Suppose 4*f = -z + 16, -q*z - 16 = -0*z. Solve -24 + 4 = f*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33, 69, 105, 141, 177?\n\"Answer: 36*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -129, -288, -511, -798, -1149, -1564?\nAnswer: -2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/3*-3 - -1. Let h(l) = -2*l**2 + 5*l + 7. Let f(g) = 3*g**2 - 4*g - 8. Let x(u) = s*h(u) + 3*f(u). List the prime factors of x(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534008 is divided by 6138.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/7 (b) -2\/3 (c) 0 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 415, 623, 831?\nAnswer: 1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32.05 - 32. Let f = t + 0. Let m = 1.05 - f. What is the closest to 1\/4 in 5, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3631.13 weeks in days?\nAnswer: 25417.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.4, -4465\/62, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4284 - 16.9.\nAnswer: -17.3284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 271.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1424192190 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 94 = 3*i, s - 3*i = -179 + 265 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1536189.\nAnswer: 3, 97, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1237 + -0.1234368. What is h rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 132 = -6*x, -6*u + 11*u - 176 = -2*x. What is the highest common factor of 31788 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 - d**2 + 2*d - 3. Let a be f(-2). Find the third derivative of -41*o**2 - o**5 - 14*o**3 + 5*o**5 - 5*o**a wrt o.\nAnswer: -60*o**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 102088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -24*f - 722. Let v be a(-32). Solve 71*b - 100 = v*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.6 + 1.6. What is the nearest to -1 in c, -5\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 18?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6918 or -6512?\nAnswer: -6512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2317, -4634, -6951, -9268, -11585?\nAnswer: -13902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2284?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -68\/3*m**3 + m**2 + 9*m + 13. Find the second derivative of h(y) wrt y.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(121\/(-198))\/(-11)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4 - 330*x**3 + 6*x**2 + 994*x + 660 = 0. Calculate x.\nAnswer: -165, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, -1, 3.\nAnswer: -2, -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 + 7*i + 8. Let t be g(-1). Let u(j) = -3*j**2 + 19. Let w(z) = 16*z**2 - z - 97. Let d(b) = t*w(b) - 11*u(b). Calculate d(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1875.3 + 1434. Round f to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -1282?\nAnswer: -6\/641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(539))**2 + 5 + -2 + sqrt(704) + -3 + -4.\nAnswer: 8*sqrt(11) + 535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k - 5. What are the prime factors of n(16)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b**3 - 1275*b**2 - 1712*b - 572 = 0 for b.\nAnswer: -2\/3, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(4)\/(sqrt(32) - sqrt(2)))**2 + -2.\nAnswer: 8*sqrt(2)\/3 + 128\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1320*a - 6607. Give f(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -3\/10 (c) 0.2 (d) 5 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56 + 637*z**2 - 16 + 62*z - 14*z - 20 + 3*z**3 - 21 wrt z.\nAnswer: 18*z + 1274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -305\/1859 - 3\/169. Let t = -174 - -174.142. Let p = -0.158 - t. Sort p, d, 0.12.\nAnswer: p, d, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjljpjpppjlfypjp. What is prob of sequence lfy?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11511387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -1154 (c) 8\/11 (d) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 2*m + 9*m**3 + (2 - m - 2)*(-5*m**2 + 2*m**2 + m**2) + 3*m**3 + 4*m**3 - 6*m**3 + (-2*m + 6*m - 2*m)*(0*m**2 - 3*m**2 + m**2).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d**2. Suppose -9*q + 56*q - 123 = -29. Let x(p) be the third derivative of -8*p**q + 0*p - 1\/12*p**4 + 0*p**3 + 0. Determine x(k(w)).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -311 + -313?\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/t)**(32\/5)*(t\/t**(2\/23))**43 assuming t is positive.\nAnswer: t**(2307\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -10. Suppose -4*h + 38 - 10 = w. Calculate the remainder when h is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 12*p + 7. Let c(q) = 5*q + 3. Let n(h) = 5*c(h) - 2*d(h). Give n(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 13543?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4199235?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -5*j + 42, 4*u + 5*u = j + 11*u - 11 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(54\/(-1))\/6*10*36\/1260.\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/6)\/((11\/(-2))\/11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1060*j + 1036*j + 48 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62279267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 1579 in decreasing order.\nAnswer: 1579, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*a + 12, -n - 5 + 1 = 0. Find the common denominator of 91\/6 and 2\/a - (-501)\/126.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000251883564 to 7 decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37385 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/14*1 - 1. Which is the fourth biggest value? (a) -3\/17 (b) 2\/3 (c) -4\/3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/13)*t**(-1)*t)**44*(t**(7\/2)*t**3)**(-12) assuming t is positive.\nAnswer: t**(-1058\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3363.841 millennia to years.\nAnswer: 3363841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 166 = -5*n, 2848 - 2729 = -3*o + 2*n - 6*n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**1\/q)\/q)**(-2\/13)*(q**(-2\/5))**16)**(-28) assuming q is positive.\nAnswer: q**(896\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 8 - 254 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*x = 5 - 54, -u - 3*x = -24. Calculate the greatest common factor of u and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0 - 4*w**2 + 0*w + 0*w**3 + 5\/24*w**4. What is the least common multiple of 2 and h(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c. Let a(n) be the second derivative of -7*n**4\/4 - 11*n. What is a(g(w))?\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f**3 - f**2. Let n = 5 + -6. Let r be o(n). Solve p + 3 = -r*i, 2*i - p + 4 = -0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118912741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 10:54 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 423116 + 0?\nAnswer: 423116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1144, 2347, 3604, 4909, 6256, 7639?\n\"Answer: -x**3 + 33*x**2 + 1111*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**2\/2 + 1. Let g(u) be the first derivative of -3*u**2\/2 - 24. Determine b(g(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 2, d: 1, r: 1, v: 2, h: 2}. Give prob of picking 1 v and 1 p.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*f - 158*f + 7 = 0. Suppose 16 = -4*h + 4. Let v = f + h. Solve 5 = -5*p + 5*z, 20 = v*p + z + z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248, -992, -2232, -3968, -6200, -8928, -12152?\nAnswer: -15872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2\/7 (b) 0.4 (c) 214\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35*(-22)\/(-231) - 3. What is the third smallest value in -2\/3, l, -3\/8, -2, -0.3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/(-84) - 22\/60. Let d = -845\/36 + 93\/4. What is the third biggest value in 4, 0, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4570*d + 223*d + 68512 + 68514 - 137026 as k + v*d and give v.\nAnswer: 4793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 16*v**2 - 14*v + 6. Let n be r(15). Solve -3*p + 17 = 2*w, 4*w - 6*p + n = -p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 12:06 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) 0.03 (c) -2\/5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - 0.08. Let p = n - -0.0599976. Round p to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60\/11, 9, -1\/3, 0.5 in increasing order.\nAnswer: -60\/11, -1\/3, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 12*x**2. Let p(g) = -402*g**2. Give p(t(d)).\nAnswer: -57888*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/8 + 5525457*c\/2 - 30530675058849\/2 = 0. What is c?\nAnswer: 11050914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57444 is divided by 533.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven tenths of a millennium?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9626*g - 9629*g = 2*z + 10, 3*g + 7 = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**3 + 2*b**2 + 139220*b - 14642428?\nAnswer: -3*b**2 + 4*b + 139220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-3)\/(-4)) - 5. Let q be d*((-1)\/(-2) - 1). Suppose -q + 1\/4*x**2 - 1\/4*x = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 0) + (26 + 6 - 29).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 67580*b**2 - 8588800*b - 274186240.\nAnswer: -5*(b + 64)**2*(b + 13388)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 8)*18\/4. Does 14 divide (-42)\/4*12\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 2459.\nAnswer: -19672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 298 and 2509607?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -62*c - 3246. Let h be y(-57). Is h at most as big as 286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -179*v**3 + v + 1. What is the remainder when m(-1) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 0, -32*m + 35*m - 1008 = -2*l. What is the remainder when m is divided by 71?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 9*f + 57645 = 0. Factor -7682*t**3 - 4*t**2 + 2*t**4 - 2*t + 3843*t**3 + f*t**3 + 2 - 2*t**5.\nAnswer: -2*(t - 1)**3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + -2*sqrt(38))*-2)\/((sqrt(24) + sqrt(24) + sqrt(168)\/sqrt(7))\/sqrt(12)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*h + 32*h + 31920 = -6*h for h.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 360, 545, 730, 915, 1100?\nAnswer: 1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n + 4. Let b be k(-2). Suppose b = -2*p + y + 1341, 4*y - 11 - 9 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/(3\/6*2). Suppose -y - 1 = -2*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 + -4 + -38 - (-45 - -48)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 266 and 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 19458.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100989, 101019, 101047, 101073, 101097?\nAnswer: 101119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**2 - 780*o + 776 = 0.\nAnswer: 1, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {n: 12, w: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30 or -0.0139?\nAnswer: -0.0139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -0.2, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44 - -122?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvugibzzzuuibi. Give prob of sequence uguz.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. Suppose f - 1 = v. Suppose f*k = -0*i - 5*i + 12, 3*i = -4*k - 4. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6345053 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/21)\/(3\/(-3*3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 8*s - 2. Let z be n(7). Suppose 4*b + y + 7 = 0, 1 = 4*b + z*y - 12. Put b, 0, -2 in descending order.\nAnswer: 0, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3248, 6450, 9608, 12722, 15792?\nAnswer: 18818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.06 (b) 5 (c) 1\/3 (d) -0.1 (e) 33\/74 (f) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 31.049. Let s = 20814 + -20816. Is s != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 2*r + 8. Let w be u(-4). Let h(x) = x**2 - 9*x - 46. Let b be h(-4). Suppose -b*s = 11*s - 34. Solve w*o - s*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15, -32, -51, -72, -95, -120?\n\"Answer: -l**2 - 14*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 - 5 + 5)*(-95*z + 23381 - 331*z - 23377).\nAnswer: 852*z**5 - 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 2*o**2 + 6*o - 14. List the prime factors of m(-6).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2258*z - 2099*z + 5563*z + 4730*z to n*z + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59584 or 59585?\nAnswer: 59584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 1. Let u(v) = -4*v**2 + 3*v - 3. Give -m(s) + u(s).\nAnswer: -4*s**2 + 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 1. Let s be p(-2). Let h = s - -7. Let w be (-2500)\/(-2)*h*3360. What is w rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/(2387\/(-315)) - -4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 9*s + 11. Let p be b(-8). Let n be p + -1 - 12\/1. Is (-4)\/n + 6265\/25 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 2*d**2 + 11*d - 37. Let z be -13 - 17\/(51\/(-12)) - -14. Give k(z).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, o: 3}. Give prob of sequence yoyo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -251*h - 2. Let r(v) = -84*v - 1. Determine 3*n(a) - 8*r(a).\nAnswer: -81*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -905 (base 11) in base 10?\nAnswer: -1094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*k + 5*k - 5*k**3 + 25*k**2 - 23*k + 15.\nAnswer: -5*(k - 3)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.59055 millennia to centuries.\nAnswer: 95.9055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1020724, -2041450, -3062176, -4082902, -5103628?\n\"Answer: -1020726*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c + 6 = 0. Suppose 2*i = -c*i. Is 3\/(i + 6\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 + 0*g**2 - 2*g**2 + (-4*g + 0*g + 3*g)*(-2*g + 2*g - 2*g) + 2*g**2 + 0*g**2 + g**2 + 4*g - 4*g + 2*g**2 in the form k*g + a*g**2 + n and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.7 - 23.8. What is the nearest to b in -3\/7, 3, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 126424 or 126374?\nAnswer: 126424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**3 + 5695*t**2 + 1774995*t + 168103305 = 0. What is t?\nAnswer: -701, -219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.074788\nAnswer: -0.037394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 46612526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2337013 or -2336997?\nAnswer: -2337013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 52\/74358575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/35 and 15\/119.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (3 - (6 + -3 + -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -275976600 rounded to the nearest 100000?\nAnswer: -276000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Let w be (10 + (-1 - 1))\/o. What is the least common multiple of 6 and w - 2 - (3 + -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 454, -0.02?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + -320. Let m = h + 345.9698. Round m to 3 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.5 - -2234693.9\nAnswer: 2234679.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -4. Let y(g) be the first derivative of 5*g**2\/2 + g - 312. Give y(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*m - 203*m = 72*m + 204*m - 85075 for m.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 8*d**2 + 168*d - 186\/7*d**3 - 2\/7*d**5 + 36\/7*d**4 + 0 = 0.\nAnswer: -2, 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*l = -13, -3 + 0 = 5*k + 2*l. Suppose 10 = 3*x + k. Suppose -g - x*u - 4 = -6, -u = -g + 18. What is the highest common divisor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291, -285, -273, -255?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5\/3 + 3883*d**4\/3 + 3920*d**3\/3 - 46596*d**2 - 46608*d = 0. Calculate d.\nAnswer: -6, -1, 0, 6, 3884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -b - 0. Let h(p) be the first derivative of p**4\/4 - 2*p**3\/3 - 5*p**2\/2 + 2*p + 2238. Give h(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5259 + -5251. What is the lowest common multiple of 81 and c?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 9*w**2 + w - 5. Suppose 5*o = 55 - 10. Let j be x(o). Suppose 5*u + 5 + 23 = r, 4*u + 32 = j*r. Solve r*g + 0 - 6 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, f: 1, j: 1, k: 2, r: 2}. What is prob of picking 2 k?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*1)**2 + 4 - (2 + sqrt(50)))*1.\nAnswer: -5*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, s: 5}. What is prob of sequence ys?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.8 + -14.2. Let h = -18.97 - n. Let s = -0.0294 + h. Round s to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25593 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 13991552.44 to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-81)\/108*4\/35.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*t - 174*t + 884*t - 175*t - 181*t - 180*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 8 - -6 - (4 + -7 + -1) - -21\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in -3, -3\/2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1798, 1820, 1858, 1918, 2006, 2128?\n\"Answer: o**3 + 2*o**2 + 9*o + 1786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157.6 - -125. Let v = i + 32.8. Suppose -2*w = -d - 2*d + 3, 2*w - 2*d + 4 = 0. Sort 6, w, v in decreasing order.\nAnswer: 6, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmmm when four letters picked without replacement from {m: 4, v: 5, o: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -935, -933, -931?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**3 - 14*s**2 + 0*s + 0 + 1\/6*s**4 + 1\/120*s**5. Let b(m) be the first derivative of u(m). Calculate b(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93*j**6*v + 38*j**4*v - 4*j**2*v - 9651*v wrt j?\nAnswer: 11160*j**3*v + 912*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 - -67. Let u(s) = -2*s - 5. What is u(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k - 2*k)*(3 - 4 + 2) + 361 + 1600*k - 361 + 765*k.\nAnswer: 2364*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73935*f**3 + f + 73936*f**3 - f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 21\/(-6)*(264\/(-21) - -4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1010, 4657, 10874, 19775, 31474, 46085, 63722?\nAnswer: 84499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*i**4 + 101422970*i**3 - 439499095*i**2 - 1081844380*i + 405691620 = 0. What is i?\nAnswer: -2, 1\/3, 6, 6761527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 453 divided by 31999.\nAnswer: 453\/31999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1186 - 981997\/828. Calculate the common denominator of b and 61\/18.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 54 = -6*p. Suppose 3*l = 2*o - 12, 5*l = 2*o - 8 - 4. Suppose 21 = w - o. What is the highest common factor of p and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29232362*n*s + 2*s + 12179087 wrt n.\nAnswer: -29232362*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*v - 3, 7*w = 4*w - 2*v + 2. Let s = 15 - w. What is the greatest common divisor of s and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**8\/1680 + s**7\/350 + s**6\/600 - 7*s**5\/300 + 2*s**3\/15 + 4*s**2. Solve z(h) = 0 for h.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 + 193*r - 2944. Determine o(26).\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2478 - 1641 = q, 5*q - 5473 = -4*w. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (99\/18)\/((-2)\/(-4)). Suppose 4*g - h + 3 = 0. Solve -g*t - 20 = -8*n + 3*n, -5*t = -3*n + 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)\/(f\/(f\/(f\/f**10))))**23 assuming f is positive.\nAnswer: f**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 73\/4 of a microsecond?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*n*o + 512456*m*o - 144*n**4 - 17702*n*o + 70 with respect to n.\nAnswer: 2*m*o - 576*n**3 - 17702*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 664, 5667, 19286, 45841, 89652, 155039?\n\"Answer: 720*z**3 - 12*z**2 - z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-9)\/(-24)*-2). Suppose 0 = -4*v + 2*v + 40. Suppose 149 = -x + 3*x + 3*r, -q*r - v = 0. Calculate the remainder when x is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1934 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-5 + -2 + 5 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j - 2. Let y(b) = -1. Let l(h) = -v(h) + 4*y(h). Is 20 a factor of l(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q**2 - 26*q**2 + 18*q**2.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01504144 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54949 and 5.\nAnswer: -274745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69244, -69275, -69306, -69337?\nAnswer: -69368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -78379.30036 to the nearest one hundred.\nAnswer: -78400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 16*n**2 + 2*n - 4. Let s be w(16). Let r be 42\/36*(-6)\/s. Which is the second biggest value? (a) 0.2 (b) 0.4 (c) -5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5042)\/45378)\/((-1)\/(-45))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -8*q**2 - 723 + 111 - 312*q - 58*q - 24*q - 226*q = 0.\nAnswer: -153\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (184\/5)\/((-1410)\/(-175) + -8). Suppose -3*q = -q - v. What are the prime factors of q?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2282 and 1956.\nAnswer: 13692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -262*j - 1266. Calculate the smallest common multiple of (2 - 6)\/(2\/(-4)) and l(-5).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36410 + -22281. Suppose 4889 = -14*g + d. Does 56 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44582 + -22726. List the prime factors of d.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*5)\/((-235)\/(-282)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 + 4) - (3 - (-9 + 15))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 618 and 48?\nAnswer: 4944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 150, 295, -5 in decreasing order.\nAnswer: 295, 150, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by -1\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 86 or 55?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 - -87. Suppose z = -5, 3*z + l = 5*u + z. What is the hundreds digit of (-12)\/(u + 4) - -195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/11 + 1216*l**2\/11 - 2*l\/11 - 1216\/11.\nAnswer: 2*(l - 1)*(l + 1)*(l + 608)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 415962 and 10?\nAnswer: 2079810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 4:14 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k = 12242 + 1966. Let w = 409 - k. Solve 5*t + 4*q = w, -5 = -2*t - 4*q + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -2*q**3 + 2*q + q**3 - 2*q**3 + 2*q**3. Let w(r) = 2*r**2 - 25799 + 25799 + r**2. Determine w(i(b)).\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -6 - (2 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1 + 3. Let r = 62 + -119. Let q = -55 - r. Which is the closest to l? (a) 0.2 (b) 2\/11 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14 + 18)*(-2)\/(-4). Suppose -3*o + 10 = -6*o + l*m, 3*o - 3*m = -15. Put o, -0.5, 28 in increasing order.\nAnswer: -0.5, o, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 34. Let v(o) = o - 69. Let j(k) = -5*n(k) - 3*v(k). Calculate the remainder when j(0) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 480 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -u + 5*u. Let c be u - (27\/(-12) - (-3)\/(-4)). Calculate the least common multiple of 22 and ((-2)\/6)\/(c\/(-144)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*z + 1. Let n be (-2)\/2*(4 + -1). Sort z, 1, n in ascending order.\nAnswer: n, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 7, 3, -24 in descending order.\nAnswer: 7, 3, -3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oioiooooiiiooiojoo. What is prob of picking 1 i and 1 o?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhs when three letters picked without replacement from vmvsvsshmvvvsmh?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -153 - 554423?\nAnswer: -554606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66906\/7434 - (19\/2 - -1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13\/30 + 1\/10. Which is the biggest value? (a) 4 (b) 4\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.5166 days in microseconds?\nAnswer: 4969434240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(448)*2 + 4)*-1)**2*-6.\nAnswer: -270150 - 14400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*c + 2 = -1, -2*c + 2 = 0. Suppose -2*o + h*o + 1589 = 5*d, 2*o = 3*d - 947. What are the prime factors of d?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 5074.\nAnswer: -2\/2537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69306311407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7136*m = -3558*m - 3566*m - 36 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -bd1d (base 14) in base 3?\nAnswer: -1122221022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74735223873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -78, -81, -86?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*s**2 + 18*a*s - 6*a + 55*s**2 wrt s.\nAnswer: 2*a + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*d + 43*d + 2 = t, -4*d - 14 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69879 is divided by 69862?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 - 15*b**2 + 42*b - 16. Calculate n(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3))\/(2\/6). Solve -4*d - 2*x = -z, 3*d + 8 = 2*x - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.614 + -0.51. Let g = k - -2.896. Which is the third biggest value? (a) -3 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.313 - -8.313. Sort h, -5, 5 in decreasing order.\nAnswer: h, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 4*j**2 + 5*j + 4. Let f be i(5). Let u be -6 + 2 + f + -3. Which is the nearest to -2\/3? (a) 5\/6 (b) -3\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o + 6. Let m(i) = -11*i - 13. Let k(l) = 6*m(l) + 13*w(l). Let n(x) = 3*x. Give n(k(y)).\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1475 - -2436. Is 56 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8500 and 2576000.\nAnswer: 43792000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4052*j**2 - 67*j - 60. Is s(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from {q: 2, y: 1, m: 2, s: 1, r: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 + -92. Let z be l + ((-144)\/(-9) - -9). Solve -2*f = 14*f + z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 16\/(-5))\/(12\/(-30)). Suppose 5*j = 5 - 25, 5*c - 8 = -s*j. What is the nearest to 0.1 in -0.5, -0.06, c?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 - 1 - 1 + 4*x**3 - x**2 - 5*x**3 to a*x**2 + k*x + g*x**3 + w and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, -92, -5, 1 in increasing order.\nAnswer: -92, -10, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**2 + 3*f**2 - 2*f**2)*(-3 - 17 - 34)*(-f + 1 - 1) in the form y*f**3 + s*f**2 + t + w*f and give y.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 278572 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 8774256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 5. Let o be r(-9). Let i = o - -11. Let d(t) = 0*t**3 + i*t**3 - 9*t - 4*t**2 - t**2. Let f(x) = 11*x**3 - 8*x**2 - 14*x. Give -8*d(k) + 5*f(k).\nAnswer: -k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 2. Which is the third biggest value? (a) -4 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Calculate the smallest common multiple of (5\/(-4))\/(-15 + (-4186)\/(-280)) and d.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*p**3 + 13 - 13)*(-1 - 2 + 4) + 11*p**2 - 11*p**2 - 22*p**3 - p**3 - 4*p**3 + 6*p**3)*(2*p**2 + 3*p**2 - 3*p**2).\nAnswer: -36*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t + 0*t)*(-3*t - 3*t - 2*t)*(-t - 4*t + 4*t)*(t**2 + 0*t**2 + 2*t**2).\nAnswer: -48*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 18*b = 60. Solve -y = -5*y - b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4945831 hours in minutes?\nAnswer: 29.674986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t. Let j(c) = 2*c + 3. Let h(a) = -j(a) - p(a). Let k(g) = 6*g + 16. Give 22*h(y) + 4*k(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/60*10\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, d: 4}. What is prob of sequence dqdq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - 0.1. Let r = -0.01 - -0.01. Let d = 1 + r. Which is the nearest to -0.1? (a) d (b) -1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/23 - 5334*l**3\/23 - 91348*l**2\/23 + 246624*l\/23 + 815936\/23 = 0 for l.\nAnswer: -19, -2, 4, 2684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 359 + -262. What is the remainder when t is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*-2*5 + (sqrt(12) - (sqrt(12) - (sqrt(12) - (sqrt(96)\/(-2*sqrt(8)) + sqrt(12)) - sqrt(12)))))\/(-1*sqrt(60)\/sqrt(40)).\nAnswer: 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-30) + 121\/330.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*q - 15726, 4*q - 27996 = l + 3444. What are the prime factors of q?\nAnswer: 29, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405286 divided by 28949?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106760812 and 6576.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j = 20*j + 4. Let i(q) = 2*q - 1. Let p(s) = -5*s + 33. Let a(d) = j*p(d) + 2*i(d). What is the remainder when 27 is divided by a(16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s + 0*s + 4*s. Let k(b) = 20*b. Determine u(k(n)).\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 742, 744, 746, 748?\n\"Answer: 2*i + 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 0, 5.\nAnswer: -5, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 + 5*h**2 + 5*h - 5. Let n(w) = -2*w**3 + 6*w. Let k(r) = -r**3 - r**2 + 3*r + 1. Let d(v) = 3*k(v) - 2*n(v). Determine -5*d(x) - 3*p(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6 = 5*i + f, 0 = -2*i + 3*f + 10. Solve -i*l = l - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 e when four letters picked without replacement from kekkkkkek?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5595 and 10.\nAnswer: 11190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2\/9 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -653 - 55508*f**2 - 58662*f**2 + 653.\nAnswer: -114170*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 411677, 1646713, 3705107, 6586859?\n\"Answer: 411679*h**2 - h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -2. Let o(a) = a**3 + 4*a**2 - 3*a + 6. Let c be o(-4). Let f be 3*((-60)\/c - -3) - -19. Calculate the greatest common divisor of j and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441685 is divided by 143?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -31, -66, -101?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 - 2*g**3 + 128*g + 2*g**3 - 128*g.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-70)*70\/441*7. Which is the smallest value? (a) 1\/16 (b) -1\/190 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3*o - 3*o)*(-2270 + 1190 + 1237) + o - 3 + 2 + 4.\nAnswer: -156*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 + 6 - -1) + (-4 - -7) + (-1 - -8).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxgxgwgxwrxwgwwgfxx. Give prob of picking 1 x and 1 w.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18169080 and 3864.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3056?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + ((4 + (-5 + 1 + sqrt(343) - (1 + sqrt(343)*2)))*-1)**2.\nAnswer: 14*sqrt(7) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.5 + 41. Let b = a - 71. Round b to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 2*d - 14 = 0, 5*d + 76 = 3*c + 55 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 443684842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222223020122 + 12?\nAnswer: -222223020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 51*s + 461. Let r be c(-6). Let t = 94 + -246. Let d = t + r. Is d equal to 13\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1 + 5 - 3*l + 0*l. Suppose 2*h - 8 = h + 2*i, 4*h + 5*i + 20 = 0. Suppose 9*y - 4*y = -n + 14, h = 3*n + y - 14. Determine d(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.78317 * -0.011\nAnswer: 0.03061487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -476\/14213 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from nznzlnzlzt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10339271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23733, -47472, -71211, -94950?\n\"Answer: -23739*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -17. Let b(k) = -k**2 - 16*k - 26. Let n be b(i). Suppose 0 = -n*s - 5*u + 18, 2 - 4 = u. Calculate the lowest common multiple of s and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t + 4. Let p(q) = -2 - 6 - 7*q + 3. Let u = -2 - -5. Suppose 0 = x - 0*d - 2*d - 3, -u*x - 2*d = -17. Determine x*r(o) + 4*p(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -99. Let a = 209\/3 + i. Solve -2*r**3 + 0 - 2\/3*r + a*r**4 + 2*r**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((((-1*sqrt(147) + sqrt(147))*-2 - sqrt(147)) + sqrt(147) - (-2*sqrt(147)*-2 - sqrt(147))) + -4)**2 + 3)*-4.\nAnswer: 2016*sqrt(3) + 16104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*p**3 + 53299*p - 53299*p.\nAnswer: 352*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 230?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 25*f + 127. Let q be l(17). Let t(u) = -u**2 - 10*u + 11. Calculate t(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(19) + 0 - (-1 + sqrt(19) + -5)) + sqrt(475) + -4 + -2)**2.\nAnswer: -40*sqrt(19) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 8*r + 8. Let q(m) = -m**2 - 5*m - 5. Let d = -3 - 5. Let t(j) = d*q(j) - 5*h(j). Let v(k) = -12*k. Give v(t(w)).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56231.02 tonnes in grams?\nAnswer: 56231020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z + 5 + 22 = -6*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3 + 7494*o**2 + 3003183*o - 9076914 = 0. Calculate o.\nAnswer: -354, 3, 2849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -37*m**2. Let r(a) = -45*a**2 + 23*a**2 + 21*a**2. What is i(r(f))?\nAnswer: -37*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310010 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 758412524 to the power of 1\/3, to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/43247?\nAnswer: 1\/43247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/35 - 24\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.5 - 35. Let d = z - -13.5. Which is the closest to -0.6? (a) d (b) 2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5047*c*j**2 + 37*j**2 + j - 2 wrt c.\nAnswer: 5047*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lln when three letters picked without replacement from {i: 10, f: 2, n: 3, l: 5}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14200, 58792, 133120, 237190, 371008, 534580, 727912, 951010?\n\"Answer: q**3 + 14862*q**2 - q - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1008 and 340368.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*u + 226 + 34 = -64 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by -11059477?\nAnswer: -49\/11059477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606642 + 387*d**2 - 104*d - 66*d**2 - 606644 + 104*d.\nAnswer: 321*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 12:39 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -539203, -1078376, -1617549, -2156722, -2695895, -3235068?\n\"Answer: -539173*r - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yekg when four letters picked without replacement from ygggggeeygk.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -134 - -223. Suppose 0*z - 5*a - q = -3*z, 2*z = 5*a + 56. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4 = -8. Let z(h) = -h**2 + 3*h + 5. Let q(a) = a**3 - 7*a**2 + 6. Calculate the smallest common multiple of q(7) and z(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 102?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from {o: 1, j: 4, r: 4, g: 1, i: 2, v: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05007900616 plus -7?\nAnswer: -7.05007900616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/10 + (-54)\/20?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2720888 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 998799607?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.52 and 1178.\nAnswer: 1184.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -687*(-3)\/27*-3. Let a = -112 - c. What is the greatest common divisor of a and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76*(-26)\/208*(-6)\/(-27)*-3\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*f - 40 = 57*f. Suppose f*y - 5*n - 12 = 21, -2*y = 5*n + 21. Factor -9\/4 - 33\/4*b**y + 3*b**3 + 15\/2*b.\nAnswer: 3*(b - 1)**2*(4*b - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {o: 6, h: 3, g: 6}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1)**(8\/3)\/(n**(-1)*n)**(-42) assuming n is positive.\nAnswer: n**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*1)\/((-69)\/46).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17753 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 4048, -11 in decreasing order.\nAnswer: 4048, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305505?\nAnswer: 3, 5, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g - 5*g - 153855*g**2 + 17*g + 17*g + 153904*g**2 as d + w*g + f*g**2 and give w.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w\/w**1)\/w)\/w)**4*w**(-11)*w**10)**(-4) assuming w is positive.\nAnswer: w**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*t + 45. Let x = t + 10. Let w = -0.4876 + 0.4876. Sort x, 2, w, -0.5 in decreasing order.\nAnswer: 2, w, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-9) - (-4)\/(-18). Let j(v) = v**2 - v - 7. Let p(a) = 2*a**2 - a - 13. Suppose 9*c = -0*c + 63. Let l(t) = c*j(t) - 4*p(t). What is l(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -880 (base 11) to base 3.\nAnswer: -1110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7011057 and -1.90871.\nAnswer: 7011055.09129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04436 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21839014 and 2658.\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -138.11 + 138.3466. What is i rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5\/3 + 2*a**4 + 26*a**3\/3 - 22*a**2\/3 - 16*a + 40\/3 = 0. What is a?\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 219.3?\nAnswer: -2193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from haaaaaaaacbaca. What is prob of picking 2 a, 1 h, and 1 c?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/8 + (-3)\/6. Which is the second smallest value? (a) 0.1 (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + t**2 - t**2. Let z(c) = c. Let r(u) = -2*u. Let s(y) = -r(y) - z(y). Calculate g(s(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/616 and -71\/110.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.22 + -10.22. Let z = -7.8 - m. Let h = z - -2.8. Which is the second smallest value? (a) h (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 2)*2\/4. Suppose -f - 2*x + q = -5, 2*x - 14 = 3*f. List the prime factors of (1\/(-2))\/(f\/124).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 63 - 3?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 1. Let u(n) = n. Suppose -4*p + 3 = -1. Let b(v) = p*u(v) + g(v). Determine b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29573631.5 + 14515.\nAnswer: -29559116.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6463.193 nanometers?\nAnswer: 6.463193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b - 4*b + 0*b + 0*b - 7. Let s be c(9). Let p be 13\/57 - s\/((-18)\/(-3)). What is the third smallest value in -3\/13, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 199*d**3 + 0*d + 0*d - 209*d**3 - 2*d**2 to the form f*d**3 + q + y*d**2 + n*d and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000201838174 rounded to 7 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 527 = 629. Solve -i*g = -21*g - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/885 - -7\/59. Sort y, 0.4, 36 in ascending order.\nAnswer: y, 0.4, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2910 divided by 15\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*u**4 - 14*u**3 + u**2 - 8*u wrt u?\nAnswer: 96*u - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2552496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -23. What is the highest common factor of 10 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 158.3 - 166. Let n = g + 7.741. What is n rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 74d773 (base 15) in base 14?\nAnswer: a4b81d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6788801 not equal to -6788802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-1))\/z)**(7\/3))**(-2\/15)\/(z*z**(-7)*z*z*z\/(z*z\/((z**7*z)\/z)*z))**(3\/13) assuming z is positive.\nAnswer: z**(47\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -557 (b) 51 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h = 267 - 33 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -199 + 1042?\nAnswer: b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1639062 is divided by 339?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 3*o - 3*r, -245 = 4*o + 2*r - 311 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*b. Let i be (b + 2 + -2)*-1. Is 1\/5 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwbwxbmbwmmwmbbbw. What is prob of picking 1 w and 1 x?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 39. What is the remainder when 108 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*n - 4*g, 0*n + 5*g - 5 = n. Suppose 0 = 2*o + 2, d + 4*o - 1 + 5 = n. Solve 4*v = -2*q + 18, -2*v + d*q + 3*q = 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1507 (base 8) to base 13.\nAnswer: -4c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/51 or 16\/33?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4560 = -81*h - 1644. What is the smallest common multiple of 162 and h?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 12 + 1538*z + 19 - 1512*z + z**2. Let l be y(14). Round l to the nearest ten.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -7 = -26738\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 47, 57, 95, 173, 303?\n\"Answer: 2*j**3 + 2*j**2 - 10*j + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 613221?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 465 - 1098*y**3 + 465.\nAnswer: -1098*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11*z**3 - 2*z**2 - 6. Let w(h) = 21*h**3 + 4*h**2 + 13. Determine -13*v(q) - 6*w(q).\nAnswer: 17*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v + 5*z + 8, -4*v = -z - 1. Is 9 a factor of (27\/(-6) - v)*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-405)\/54)\/((-1)\/22). What is the greatest common factor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 4*p - p)*(-437 - 427 - 147*p + 865 + (3*p - 4*p - p)*(-6 + 2 + 3)).\nAnswer: 145*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27272 + 19305 = 3*r + l, -5*l = -8*r + 124190. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4548576886?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*f - 2*q, -5*f + 35*q - 30*q - 15 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/170 in -0.15, -4, -642, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/(-51))\/((-12)\/279).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4051 = 3*f - 733, 3310 = -q + f. Let y be ((-4)\/24)\/(-4*(-6)\/q). Calculate the highest common divisor of y and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -454576239 rounded to the nearest one hundred thousand?\nAnswer: -454600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.153 in 2\/3, 2\/7, -69?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91 or -68?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*k**6 - 815*k**5 - 136*k**3 - 15215654*k**2?\nAnswer: 3360*k**3 - 48900*k**2 - 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.78 - 175.22. Let j = -178.99999903 - w. Round j to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1443 - 132?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (-3 + sqrt(9)\/sqrt(3))) + -6*(sqrt(3) - (-2 + sqrt(3)))**2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 145*g**2 + 480*g.\nAnswer: -5*g*(g - 3)*(g + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2 - 29\/(-22). Let a = z + 41\/44. What is the nearest to -2\/3 in 0.5, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -128739, -257471, -386197, -514917?\n\"Answer: 3*d**2 - 128741*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/12044455 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47860 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d + 2. Let f(v) = 2*v - 1. Let w be -4 + 1 + -3 + 1. Determine w*f(i) - 2*q(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -995*u + 216*u - 11*u**2 - 19*u**2 + 260*u + 255*u + 262*u.\nAnswer: -30*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*k**2 + 3 + 0 - 108*k**2 + 208*k**2.\nAnswer: -5*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 95*b**3 - 625*b**2 - 1645*b - 1470.\nAnswer: -5*(b + 2)*(b + 3)*(b + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 + -62. Suppose 4*u = -m*h + 26, -2*u + 2*h = -2 + 4. Suppose 3*j = -u*t + 160, 3*t - 8*j - 145 = -4*j. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsmffssfsfs. Give prob of sequence fsms.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2240, -4482, -6722, -8960, -11196, -13430?\nAnswer: -15662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 5*u, y + 5*u + 0*u = -20. Let m be (-539668)\/(-268080) + (-2)\/y. Let v = 4\/1117 + m. What is the common denominator of -89\/2 and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**4\/4 + 4*u**3 + 15*u**2. Let v(j) = 31*j - 119. Let m(p) = -11*l(p) - 2*v(p). Let k be m(7). Solve -z - k = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1496*w + 8043. Give i(-5).\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - -68) + -71 - 73.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30 + -4 + 0 + 0. Let z(v) = 3*v - 3. Let x be z(7). Suppose 4*g - x - a = 0. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: bc2c (base 16) to base 11\nAnswer: 33213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55588875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b*c**6 + b*c**2 - 325*b*c + 2*c**6 + 116*c**4 wrt c?\nAnswer: 600*b*c**3 + 240*c**3 + 2784*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-3 + (-44)\/(-8)). Let g(j) = -j**3 + 7*j**2 - 5*j - 3. Let d be g(s). Differentiate -2 + 4 + 48*m**3 - d*m**3 - 3 wrt m.\nAnswer: 78*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**2 - 21700*c - 23544500 = 0?\nAnswer: -2170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6 = m + 2*w, 26 = -m - 5*w. Suppose 1 = 2*c + 3. Let k be (-4 - c)*(-1)\/3. Which is smaller: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 3563*p**3 - 3569*p**3 - 2*p.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -26, 0.04?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -3*z - 77 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22126*r**2 - 40743*r**2 - 3166*r**2.\nAnswer: -66035*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 1687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*x - 93*x + 9 = 0. What is the units digit of (x + 2 + -1)*-10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28654 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + -1 + 4 - -10. Let d(p) = p**2 - 7*p + 15. Determine d(w).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*f**2*t*z - 18*c*f**2 + 7*c*t*z + 2*f**2 - 2*f*t*z + 59*t*z wrt c?\nAnswer: -2*f**2*t*z - 18*f**2 + 7*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctchccthbhcgcgcbhtpc. Give prob of picking 1 g and 1 p.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*u + 2713 - 205 = -81*u + 17028 for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6582078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.984622 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n + 1144 = 26*n + 90*n. Let v be 1\/(-2) + 5385\/2. Suppose 4*y + v = n*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -13*x**4 + 387*x**3 + 536*x**2 + 125*x - 11. Let s(k) = 3*k**4 - 97*k**3 - 134*k**2 - 31*k + 3. Let p(v) = -6*b(v) - 22*s(v). Solve p(z) = 0.\nAnswer: -1, -1\/3, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five eighths of a week in minutes?\nAnswer: 94500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 0 + 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 - 57 + 6*m**4 + 34 - 4*m**2 + 21 in the form z*m**3 + q*m + c*m**2 + v*m**4 + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1 - -3)*28\/(-154)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 o when three letters picked without replacement from {b: 1, n: 1, o: 2, z: 1, j: 1, w: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11930767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w. Let g(j) = -j**2 - 1444334. Determine g(v(d)).\nAnswer: -64*d**2 - 1444334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 20 - 2)*(-2 + 1 + 0)*(5 + 3386*l - 3387*l - 2*l**2 - 10*l**2) + (-l + 0*l + 2*l)*(0*l + l - 2*l).\nAnswer: -277*l**2 - 23*l + 115","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b = 862 + 62. What is the greatest common divisor of 4576 and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6819790085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000105848 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1561 - -1563. Solve 0*u - 3*d = u - 12, 5*u = -l*d + 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raaa when four letters picked without replacement from {r: 10, a: 4}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 3\/8 (b) 0.11 (c) -4008\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -14211*w. Let v(h) = 31*h. Give a(v(b)).\nAnswer: -440541*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 = -56*w + 36 - 101 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-9)\/(-6))\/((-6)\/(-12)))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqf when three letters picked without replacement from axxqfxytqtaqxyaqxx?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4655 and -230.55?\nAnswer: 1073210.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2109685 rounded to 4 dps?\nAnswer: -0.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 432*k**2 + 24*k + 1\/3.\nAnswer: (36*k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/702 and 35\/468.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 4:28 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.682805 nanoseconds to hours.\nAnswer: 0.0000000000071341125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 6. Suppose 0 = 4*b - 12, c*b = d + b + 14. What is the units digit of (-1)\/(d + 9\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - 3*s**2 + 2*s + 7. Does 2 divide u(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.477, 2\/7, -5, -4\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 187*u - 1441. Give n(193).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -221*b - 926 + 226*b + 934. Let p(q) = -11*q - 17. What is 6*p(g) + 13*v(g)?\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five quarters of a week?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 541441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120220 (base 3) to base 10.\nAnswer: -429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205604 is divided by 205506?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40385836*s**2 + 48845259?\nAnswer: 80771672*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/56 + -6 + 2438\/161?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h. Let l(a) = -8*a. Let v(f) = 11*d(f) + 4*l(f). Let g(r) be the first derivative of 11*r**3 - 115. Calculate g(v(y)).\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = y + 4. Suppose 276 = y*m + 100. Suppose -3*w + w = 4*c - 34, -3*w + m = 5*c. Calculate the greatest common factor of c and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 + -29. Suppose 5*z - z = 4*k + 4, 3*k = -z + 9. Suppose 109 = z*h - 71. Calculate the highest common divisor of h and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 154*m - 648.\nAnswer: 2*(m - 81)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*x + 21 = 0, -3*x = -i - i + 14. Which is smaller: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/17)*s*s*(((s\/(s*s**(2\/63)))\/s)\/s)\/s*s)\/((s\/s**(-2\/27))\/(s*s\/(s**(-1)*s))) assuming s is positive.\nAnswer: s**(5708\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j = 4*j + 36 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3201 + -3206. Put 5, 1, a, 19, 3 in decreasing order.\nAnswer: 19, 5, 3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 89 + 55 = 0. Let c = u - 10. Let r(q) = -16*q + 14. Let g be r(-4). What is the greatest common factor of c and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -96. Suppose 0 = -12*z + 4*z + w. Find the third derivative of 5*u**2 + 18*u**2 - 5*u**3 - 6*u**z + 45*u**3 wrt u.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 + -0.4. Let g = -3.9 + 6. Let h = q - g. Which is the smallest value? (a) -0.3 (b) h (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 41?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*t + 106*t - 15*t)*(-1 + 0 + 3)*(-2*t**2 - 4 + 4)*(-3 + 2 + 5).\nAnswer: -992*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*d - 902*d = -545*d + 1129*d - 1639 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 16. Which is the third smallest value? (a) 0 (b) -0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) 0.02 (c) 1\/5 (d) -158 (e) 8.3 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 8:21 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323 = -1046*q + 1027*q. Let r(i) = 3*i - 3*i + 3*i - 4 - 3*i**3. Let g be r(-3). Calculate the greatest common divisor of g and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254013635 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 5*i**4\/4 - 2*i**3\/3 + 3*i**2\/2 - i + 12. What is the units digit of x(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2808 and 85320?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 13*s**2 + 3*s - 8. Let u be f(6). Let k = u - 372. Let y = -66 - k. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/418 equal to -201.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324382*-0.08.\nAnswer: -25950.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 108540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = 9*v + 75 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 782 = 158. Let g = 626 + p. Solve g*i = -2*i + 12, -2*t = 4*i - 22 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2669, 10658, 23973, 42614, 66581, 95874?\nAnswer: 130493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/227, 42, 0, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2200.69 rounded to the nearest ten?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2414\/3 - 7*5\/(-105)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**3 + 0*k**3 + 0*k**3 + 4*k**3 - 9*k**2 + 0*k**3.\nAnswer: 9*k**3 - 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 351416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 y when three letters picked without replacement from {y: 9, p: 10}?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 17*w**2 + 384*w + 1424. Give q(-18).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5166 - -1)*12\/(-5). Find the common denominator of r\/(-3696) - (-4)\/(-22) and -93\/10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 7. Let t be 3 + k*(-2)\/(-4). Suppose -12 = 3*q, -t*j = -5*q - 12 - 11. Solve 3*g - 5*i - 4 = -j, 2*g - 2 = i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-10) + 56\/10. Suppose -6*p + 3*p = x. Let g(u) = -4*u**2 - 10*u - 6. Let n be g(-2). Is p > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11, -12, -21, -44, -87, -156, -257?\n\"Answer: -m**3 + 2*m**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.60497 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 14. Let d(l) = 4. Let i(v) = -v**2 - 8*v - 8. Let z be i(-6). Let q(x) = z*j(x) - 14*d(x). Let k(g) = 3*g. What is q(k(n))?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a - 6. Let c(y) = -7*y - 8. Give -5*c(q) + 4*x(q).\nAnswer: -q + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 92, 216, 464, 878, 1500, 2372?\nAnswer: 3536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + -5)*-1)**2*-4 + 3.\nAnswer: -2897 + 400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 11032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41820*d**2 - 248*d.\nAnswer: -4*d*(10455*d + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 5. Let u = -4 + q. Find the third derivative of -2*p**u + 3*p**2 - 43*p**6 + 47*p**6 wrt p.\nAnswer: 480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3479274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6327050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 h when four letters picked without replacement from unhhhuuhuhunhnuhuh?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-291)\/((378\/245)\/(-18))?\nAnswer: 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-3)\/12*0. Let m(g) = g + 7. What is the least common multiple of 2 + -4 + (4 - s) and m(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*q + 40, -32*b + 4 = -30*b + 2*q. Let v(y) = y - 1. Let u(k) = -6. What is b*v(m) - u(m)?\nAnswer: 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h + 598 + 234 = 32*h. Suppose -4*m = 30 - 134. Calculate the highest common divisor of m and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 4*b**2 + 4*b - 4. Let m(k) = k**2 + 8*k - 9. Let z be m(-8). Let u = 4 + z. What is i(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271245*n**3 - 4*n + 4*n + 271707*n**3.\nAnswer: 462*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34075 divided by -5.\nAnswer: -6815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8433463\/8 - -1052057. Let c = p + 2117. Find the common denominator of c and 406\/60 + (-4)\/(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43981658*u**2 + 2*u - 290019237 wrt u.\nAnswer: -87963316*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -442340030 + -41?\nAnswer: -442340121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -89. Let y(m) = 4*m - 10 + 3*m**2 + 2*m**2 - 4*m**2. What is the remainder when g is divided by y(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 153, 143, 119, 75, 5, -97?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12540 (base 6) in base 10?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*h**5 - 26420*h**4 - 365710*h**3 - 1057280*h**2 + 3249435*h + 11792340 = 0. What is h?\nAnswer: -573, -7, -28\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(833) - (-2*sqrt(833)*6 + sqrt(833))) + -3*(sqrt(833) + 0 + sqrt(833))*-4)*1)**2 + 0.\nAnswer: 2016*sqrt(17) + 1079584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from lqwwwtjwjtntwjj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from trlcqvr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 181 + -75. Let c = s + -65. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*o + 3504 = 75*o for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 52. Let n(k) = k**2 - 24*k + 16. Let t be n(23). Calculate p(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/775 - -1504\/17825. Is -0.2 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176.192+-262\nAnswer: -438.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679 (base 11) in base 5?\nAnswer: 32033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2. Let o(s) = -2*s + 36. What is z(o(b))?\nAnswer: -4*b**2 + 144*b - 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1635505787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 23 = -3*u, 2*c - 5*u = -2*u + 25. Calculate the greatest common divisor of c and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -4, -1 in decreasing order.\nAnswer: 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 575061 >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21699258 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1216))*6 + 3 - 6*(sqrt(1216) + sqrt(1216)*-1)*3)**2.\nAnswer: -864*sqrt(19) + 43857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, x: 2, r: 3, q: 1}. Give prob of picking 1 x, 1 q, and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyyuuyydyuu. Give prob of picking 1 y and 2 u.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4962859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -36\/1255 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 1\/83, 12, 496?\nAnswer: 496","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1) + 15\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196 - -195.9505. Let w = z - -0.049201. Round w to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2\/7, 4\/9, 1.6 in increasing order.\nAnswer: 2\/7, 4\/9, 2\/3, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(63))**2 + -1.\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-1\/4))**(-6))**32 assuming h is positive.\nAnswer: h**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 0*v - 10*v + 8*v. Let s(h) = h**2. What is j(s(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-204)\/34*(-2)\/(-78)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 5*o**2 + 5*o + 5. Suppose -n - 18 + 17 = 0. Let t be n\/((-10)\/84*4\/20). Let r be 7\/t + 35\/6. Give y(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -87?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.078 + -0.03.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 752887, 752885, 752883?\nAnswer: 752881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2355\/4 or -590?\nAnswer: -590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77710367 is divided by 59?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 1067?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1618.\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/3 - 176*t**2 + 21372*t + 1501520\/3 = 0.\nAnswer: -20, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 - (-1)\/(18\/(-4)). Which is the biggest value? (a) p (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*h - 9*l = -40*h - 6*l - 1142, -4*h + 28 = -2*h - 6*l for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u + 1. Let w be f(1). Let y be (-109)\/w - 2\/10. Is y\/7*-1*7 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189074315 to the nearest integer?\nAnswer: 13750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1340 + 1317 + 40*o - 11*o.\nAnswer: 29*o - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -127*b**2 + 2*b + 2. Let o(t) = 260*t**2 - 5*t - 3. Determine 7*g(u) + 3*o(u).\nAnswer: -109*u**2 - u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 3*f**2 - 2. Let t = -8 - -6. Let u be d(t). Solve 6*n = u*n - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94\/15 + 28\/5. Sort b, -3, 0 in decreasing order.\nAnswer: 0, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from ggghggggggggggg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -340784127, -681568253, -1022352379, -1363136505, -1703920631, -2044704757?\nAnswer: -2385488883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15545*c**4 - 3*c**3 + 106517*c**2 wrt c?\nAnswer: -373080*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) -3\/5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2 + 953*c + 2850 = 0?\nAnswer: -950, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344 - 4.558.\nAnswer: 339.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -109*h + 5. Suppose -5*m - 15 = 0, 0 = -5*r + 4*m - 5 + 7. Is v(r) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(63\/(-14)) + (-70)\/75*3.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-88) - (-31)\/(3410\/702)?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*m + 4 = -33, 2*s = m + 31. Let q = -10 + s. Calculate the least common multiple of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*h - 16, -8 = -5*h - 18. Suppose -k - 3 = 0, -4*m - 6*k + w*k = -2. What is the second derivative of -14*y - 24*y + 11*y - 14*y**m - 8*y wrt y?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-40)\/12)\/(2\/(-30)). Let o be (4\/(-5))\/((-4)\/l). Suppose -4*u - u + o = 0. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6174708 to three decimal places.\nAnswer: 3.617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((a*a\/(a*a**(1\/3)))\/a)\/a)\/a)**(-1\/35))**7)**36)**43 assuming a is positive.\nAnswer: a**(3612\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -25 + 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 37. Let t be i(6). Let k be 116\/638 + 4330\/22 + t. What is the highest common factor of k and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-8)\/108*4\/(-8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -47*x + 18. Let w(c) = -c - 2. Let b(y) = f(y) - 3*w(y). Is 38 a factor of b(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 229*r - 64713. Let a(k) = -51*k + 16178. Calculate 9*a(w) + 2*m(w).\nAnswer: -w + 16176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, -39, -108, -225, -402, -651?\n\"Answer: -2*o**3 - 6*o**2 - o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2196, 2198, 2200?\n\"Answer: 2*x + 2194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8236*g + 5*o = -8233*g - 22, 123*g + 5*o = -101 - 47 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1069\/8 - 939\/8. Calculate the common denominator of c and -101\/912.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6143*n - 212 - 1318 = -3076*n - 3016*n for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/2197 and -7\/13.\nAnswer: 2197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 10) to base 3.\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1\/6, 0, -5, -0.1649?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 228829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 16*a**2 + 26*a - 38. Suppose -3*h + 11 - 38 = 0. List the prime factors of v(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2430 and 18.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**5\/5 + b**3 - 2*b - 6. Let j(s) be the first derivative of p(s). What is the second derivative of j(l) wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 25*y + 16. Suppose 255 = -16*m + 63. Let h be f(m). Solve -5*l + 5*l = -h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 6. Let f be o(10). Let b = 5 - f. Let t be (-1 - -1)\/((-2)\/b). Are -1\/5 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 16 - (-32 - -3)) + 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76844423?\nAnswer: 269, 285667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/28 + (-5)\/(70\/4). Let j(a) = -a**2 - 3*a + 7. Let l be j(d). What is the greatest common factor of 63 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4135505 (base 7) to base 13\nAnswer: -14503a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 1. Let y be g(-2). Let t = -0.1 - -0.1. Let o be (-4)\/10 + (-2 - -2). Which is the third smallest value? (a) y (b) t (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/25 - 24122*j**2\/5 - 23110636*j\/25 + 70417344\/25 = 0. What is j?\nAnswer: -194, 3, 60496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/4*k**4 + 7\/4*k**3 - 4*k + 0 + 2*k**2 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -969 divided by -6\nAnswer: 323\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-18)*48*(-68)\/7616?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -71*r**4 + 29*r**3 - 1189*r**2 + 196752169.\nAnswer: -284*r**3 + 87*r**2 - 2378*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*j**2 + 5*j + 29*j**2 - j + 10*j**2.\nAnswer: 124*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1274)*-2*-2)\/(sqrt(198)\/sqrt(11)*-5)*3.\nAnswer: -56*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -h - 24, 2*h + 16 + 12 = -2*g. Is ((-120)\/(-16) + h)*22*-3 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(240) + -2*sqrt(240) + sqrt(240))*2 - sqrt(240))\/sqrt(12))*-5.\nAnswer: -10 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 251.832 rounded to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + ((-22)\/(-30))\/((-7)\/(-9)). Suppose 8 = -a + 2*a + 5*i, -3*a + 4*i - 14 = 0. Put 5, x, a in descending order.\nAnswer: 5, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7930 = 5*n + 2*c, -5*n = 3*c - 629 - 7301. Let w = 2411 - n. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6411 = -3*n, -3*p = n - 14995 - 4198. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3704777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**3\/6 + 2*o. Let n(l) = 2*l**2 + 8*l - 15*l + 7*l. Calculate b(n(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2. Let f(a) be the second derivative of -25*a**3\/3 + a - 3. Calculate f(l(u)).\nAnswer: 100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 16431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*s**3 + 42967 - 50*s**3 - 42967.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j + 4 + 4*j + 6*j + 14*j.\nAnswer: 15*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 4*j - 2*b + 18 = 0, 0 = 5*j - 3*b - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**6\/420 - p**5\/105 + p**4\/84 - 2*p**2 + 2. Let v(u) be the second derivative of m(u). Factor v(z).\nAnswer: 2*z*(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-200)\/26 - ((-384)\/160)\/((-6)\/(-20)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -354 + 517. Sort -5, d, 1.\nAnswer: -5, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -162, -667, -1502, -2661, -4138, -5927, -8022?\n\"Answer: z**3 - 171*z**2 + z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 8:54 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -1)*1*72\/9840*41. Solve 3\/5*n**4 - 9\/5*n**2 + 2\/5 + w*n + 1\/5*n**3 = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1, -2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 4:17 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 76212 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 7*f + 10*f = -12, -4 = -2*v + f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.4 + -14. Which is the nearest to 0.1? (a) -2 (b) -2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26675655 is divided by 1269.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 10:32 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 321 + -126. Let n = y + -136. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 727, 725, 723?\n\"Answer: -2*g + 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 12. What is the nearest to 2 in 2, 2\/11, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 262154.9 days?\nAnswer: 22650183360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -970 and -10676\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Let u be 5 - (4 - (l - -1)). Suppose -5*r - 3*k + 107 = 0, -2*r - 4*k - 3 = -u*r. What is the remainder when r is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*b*p**2 - 2*b*p*r + 5*b + 30*p**2*r + 2*p**2 wrt r?\nAnswer: -2*b*p + 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5363490, 5363491, 5363492, 5363493, 5363494, 5363495?\n\"Answer: w + 5363489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.03 + 5. Let k = 3.97 - v. Let n = k + -3.8. Which is the second biggest value? (a) n (b) -2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (-3*sqrt(95)*-2 - sqrt(95)))\/(3*sqrt(20)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**2 + 4752*h + 1877460 = 0.\nAnswer: -830, -754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**5\/60 - f**3\/3 - 4. Let v(h) be the third derivative of p(h). Let a(k) = -6*k. What is v(a(r))?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31621448, 63242899, 94864350, 126485801?\nAnswer: 158107252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 2*v**2 + 14*v. Let l(o) = -3*o**2 - 281*o**3 + 140*o**3 + 14*o + 142*o**3 + 0*o. Calculate 3*b(n) - 2*l(n).\nAnswer: n**3 + 14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(12\/5)\/a)\/((a*a*a\/(a**(1\/10)\/a*a)*a)\/a) assuming a is positive.\nAnswer: a**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/18)\/(39\/18)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -579818 divided by 10\nAnswer: -289909\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 + 1 = 0. Let r be 18\/(j\/((-6)\/4)). Solve 4*d - 7 = r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006675 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4130 is divided by 1373.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11\/(((-2)\/(-2) - 5) + 5) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 5*p**2 - p - 5. Let x = -1 - -23. Suppose -26 = 5*n - r - 5, 2*r - x = 5*n. Is t(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 87630000 to the nearest 1000000.\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 104 = -2*w - 2*w, -20 = -o - 4*w. What is the second derivative of -56*x + o*x + 20*x**2 + 46*x wrt x?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 38556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**37\/m)*m*(m*m**(-11))\/m)\/((m\/(m**(-2\/75)*m))\/(m**33*m)))**(-22) assuming m is positive.\nAnswer: m**(18194\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 2*c + 7, -12*o = -17*o + 4*c + 29 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*-1)\/((sqrt(3) - sqrt(12))*6 + sqrt(3)))**2.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14432 (base 12) in base 15?\nAnswer: 8592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.14352 - -0.1435238604. What is c rounded to seven dps?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 5*z - 1190 + 1113, n - 5*z - 10 = 64 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18\/3889565 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5669 take away 33846122963?\nAnswer: -33846117294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 5, 0 in decreasing order.\nAnswer: 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 12*b**2 - 45*b + 14. What is n(9)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58323651 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 2 + 0\/(-1). Suppose 15 = r + f*r. Let w be (r\/(-4))\/((-4)\/16). Solve 23 = -5*i - b + 3*b, -22 = w*i - 3*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4953?\nAnswer: 3, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111500185 by 1.\nAnswer: 111500185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/327 and 70\/2557467.\nAnswer: 2557467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 1. Let l(w) = 13*w - 3 - 17*w + w**2 - 3. Suppose 0 = -7*h + h - 6. Let c(y) = h*l(y) + 3*p(y). Calculate c(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 839748377?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2458 + -0.3458. Let d = -11 - -15. What is the closest to q in -5, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -5*f**4\/12 + 1120*f**3 - 1128960*f**2 + 391*f - 1. Factor y(u).\nAnswer: -5*(u - 672)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + a**3 - 2*a**3)*(1 - 1 - 2 - 4 + 2 + 3 + (3 - 6 + 1)*(-4 + 3 + 2) + 5 + 1 - 4 + 0 - 1 + 0)*(4*a + 2*a - 4*a).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3394207 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 741556?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (9\/54)\/((-10)\/90)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2179 = -13193. Let a be (-4)\/10 - v\/(-90). Calculate the highest common factor of a and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-6))\/3*6. Let k = -6 + t. Is 2 - 36\/k - -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 32 - 28 = 0, -t = -4*x + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 3*d + 2*d**3 + 0*d)*(4 + 0 + 4)*(4 - 5 + 0) to x + o*d**3 + c*d**2 + p*d and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 0*r + 2*r in the form w + p*r and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*l + 22*l - 15. Suppose -258 = -3*i + 2*z, 5*z - 178 - 227 = -l*i. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140851479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*w + 23 = 0, 0 = 3*q - 7*q - 2*w + 14. Let l(u) = u**2 - u**2 + 2*u + 0*u**2 - 4*u**2 + q. Calculate l(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3302\/153 - 484\/17. Find the common denominator of (-30)\/(-42)*7\/(-6) and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f. Suppose f = 5*z + 67 - 197. Suppose 4*o = 0, 3*q + 27 = 6*q + o. What is the remainder when z is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/24 and -69\/31928.\nAnswer: 95784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51726*k**2 + k + 341108.\nAnswer: -103452*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -23*l - 9. Is k(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*f**2*z - 2*a**2*f**2 + a**2*f*z**4 - 2*a**2 - 20*a*f**2*z**3 - 3*a*f**2 wrt z.\nAnswer: 12*a**2*f*z**2 - 120*a*f**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -38 + -22 + 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 260 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/7 + 11*c**3\/7 + 131*c**2\/7 - 15*c\/7 - 1350\/7.\nAnswer: -(c - 18)*(c - 3)*(c + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*x + 4*p - 13108, -2*p + 16385 = 5*x. Is x 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 150200?\nAnswer: 2, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, y: 10}. What is prob of picking 2 y?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 10:34 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30051113 to the nearest integer?\nAnswer: 5482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 1001613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134364 is divided by 7146?\nAnswer: 5736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114 by 41106.\nAnswer: -19\/6851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/66)*b**(-7\/3)*b*(b**22*b)**47 assuming b is positive.\nAnswer: b**(23753\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -4538?\nAnswer: 4540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 218, 432, 646, 860?\nAnswer: 1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*o - 1226, -a + o + 2432 = a. Let r = 1836 - a. Suppose -6*l - r = -5884. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463469858 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 262*g**4 + 63*g - 434*g + 52*g + 87*g wrt g.\nAnswer: 3144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s + 76676 = 30*s + 2*m, -5*s - 4*m + 95842 = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t)**(-23) assuming t is positive.\nAnswer: t**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -2738 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(a*a\/(a*a**(-1\/17)*a)))\/a)\/a**9*(a\/a**1)**(-12))**48 assuming a is positive.\nAnswer: a**(-6576\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -149, 0.4, -3\/2?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.79 + -10.8. Let q = -0.3 - -0.1. Let m = 0 - q. Which is the nearest to p? (a) -2\/15 (b) 2\/13 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1066261 and 2677678?\nAnswer: 8017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 l when four letters picked without replacement from llqqldzvqttdvdqqldq?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 39*t + 83. Let h be a(41). Let o(f) be the second derivative of 5*f - 1\/2*f**2 + 6\/5*f**5 - 1\/12*f**4 + 0 + 1\/3*f**3. What is o(h)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 4:42 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1778222 divided by 1978\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 22. Let g be k(9). Which is bigger: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 equal to -1\/9584914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - o = 8, 28*o = j + 29*o - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 1:28 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2438 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 - 15. Let u(x) = -5. Let m(h) = h**2 - 26*h - 9. Let k be m(0). Let d(s) = k*u(s) + 3*t(s). Let o(w) = 12*w. Determine o(d(n)).\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {i: 11, k: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.3491172 to two dps.\nAnswer: 74.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 546\/(-210) + 3*1 + -21 + 556\/10?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 11.8. Let g = -57.4 - -63. Let p = v + g. Round p to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 + 85 = 16*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 > -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23513543 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(200) + -1)*2)**2 + sqrt(200) + 3 + sqrt(200) + 4.\nAnswer: -60*sqrt(2) + 813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 2:05 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 112 = 4*x - 4, -x + 5*m + 35 = 0. Let k be 8\/((x\/(-5))\/(-3)). Suppose 0 = -20*f + k*f + 8848. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43013755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = o - 87, -o + 362 = 3*o + 2*h. Let d(r) = -9*r - 6. Let m be d(-4). Calculate the highest common factor of m and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 411 * -159\nAnswer: -65349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24502118, 24502120, 24502122, 24502124?\n\"Answer: 2*n + 24502116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 20020\/3185 - ((-2)\/(-8) - 2\/(-56))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.48725264 to two decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -208, -618, -1336, -2362?\n\"Answer: -154*o**2 + 52*o - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 20*c**2 - c + 5. Determine a(-20).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**3 + x**2 + 2*x + 1. Let h be y(-1). Find the second derivative of 20*i**h - 20*i**4 + 5*i**5 + 13*i wrt i.\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + q + 1. Let z(w) = -194*w**2 + 14*w + 12. Determine 12*x(a) - z(a).\nAnswer: 170*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*p - 1)*(-1220*p**4 - 1300*p**4 + 2775*p**4).\nAnswer: -1275*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63481522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m - 1. Let f(k) = 13*k + 4. Let g be (-4 - 0)\/(1\/(-2)). Suppose 8*d = 4*b + 3*d - 7, g = -b - 2*d. Determine b*f(z) - 7*v(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -28, 25, 0.2, 0.04, -0.3.\nAnswer: -28, -0.3, 0.04, 0.2, 25, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38462*c*n*o + 1594*c*o**3*y**2 - 2*c*o**3*y + c*o*y**2 - n**2*o*y**2 + n**2*y - n**2 wrt y.\nAnswer: 3188*c*o**3 + 2*c*o - 2*n**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 8*r**2 - r + 6. Let h be k(-7). Let d = h - -36. Let n(l) = l**3 - l**2 + l + 94. What are the prime factors of n(d)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -33, -47, -29, 39, 175, 397, 723?\n\"Answer: 3*u**3 - 2*u**2 - 29*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 6*f - 27. Let v be c(-18). Let j be 1\/6 + (-5)\/30. Suppose 4*o + 0*o - 12 = j, -4*b + v = -o. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10498265.8 and 55281?\nAnswer: 10553546.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 853773, 1707534, 2561297, 3415062, 4268829, 5122598?\n\"Answer: m**2 + 853758*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 50970.21 months?\nAnswer: 42.475175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 159?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 6996 = 23224. Is w a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-3)\/(-1))*7\/63?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301854.3km to micrometers.\nAnswer: 301854300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5 + 17*n**4 - 573*n**3 + 1987*n**2 - 364*n - 2940 = 0 for n.\nAnswer: -35, -1, 2, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 + 86.8. Is 32 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**2 + 10*t - 10*t.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/19, -2\/7, -7 in increasing order.\nAnswer: -7, -7\/19, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*n**2 - 8*n**2 - 5*n**2 - 3*n**5 wrt n.\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71679221?\nAnswer: 3527, 20323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 2, 183.\nAnswer: -4, 1, 2, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83659 is divided by 2882?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -2\/11, -0.4, -25\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 26*f**2 + 1017*f - 712. Calculate j(-41).\nAnswer: 1297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = p - k + 2, p = 5*k + 5. Let d = 6 + -3. Solve 2*w - d = -3*q + 6, -p*w + 14 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8566 + 810 = y - 15*y. Suppose 3 = x - 1. What is the least common multiple of y and x?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*v + 2*v. Let t be 3\/v - 3\/30. Let q = 1.35 + -1.05. What is the second biggest value in q, t, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 123497 = -123413 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 4*i**2 - 2*i + 2. Let d be u(4). Let g be 501\/15 - d\/(-15). Find the second derivative of -3*j**2 - g*j + 27*j - 2*j**2 wrt j.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p. Suppose 3*i + 3*h = h + 14, 4*i - 3*h = -4. Let d(b) = 7*b**i + 3 - 4*b**2 - 3. Give d(z(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -54. Solve d + 5*s + 8 = 0, -j*d + 5*s + 2 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 656 + -646. Calculate the greatest common divisor of 125 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 207 + -205. Suppose -k*t + 267 + 1085 = 0. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**5\/8 - 81*k**4\/8 + 821*k**3\/8 + 573*k**2\/8 - 3141*k\/4 + 621 = 0.\nAnswer: -3, 1, 2, 12, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.3 (b) -5 (c) 2\/13 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*8\/(-108))\/(14\/(-63)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 - 7 - 15 + 4*o + 7. What is the units digit of c(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, b: 1, c: 1, i: 1, k: 2, g: 1}. What is prob of sequence cb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*z + 27 = 0, z - 14 = -v + 3*z. Let r(f) = -14*f + 1. Let t be r(v). Let m = -37 - t. Calculate the greatest common divisor of m and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -911 + 505. Let o = i - -407. Which is the third smallest value? (a) -2 (b) o (c) 0.01 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, b: 5}. Give prob of picking 2 b and 2 c.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74394 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/270 and -149\/3240?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 8308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26143066?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0103186 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100280943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x. Let f(r) = 235*r + 247*r + 9*r - 80*r - 18*r. Calculate j(f(h)).\nAnswer: 1179*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 6:58 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14178 and 3041181?\nAnswer: 6082362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1636.8 from -1.871.\nAnswer: -1638.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*i**2 + 160*i wrt i?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 - 44*r + 196. Determine y(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 21*x**2 + 11*x + 11. Let t(f) = f**3 - 9*f**2 - 11*f + 11. Let l be t(10). Let z(o) = 4*o**2 + 0 + l + 2*o + 0 + 1. Give 2*d(k) - 11*z(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**3\/3 + n**2\/2 + n - 21. Let q(s) = 4*s**2 - 6*s - 6. Calculate -6*d(z) - q(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 27*o - 68. Let t be g(-10). Let r(b) = 6*b + 1. Give r(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 + 32 + 22 + 25 - 79.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*3\/5*(-110)\/(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1817?\nAnswer: -2\/1817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o - 5*o - 17*o + 14*o.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1711, 13227, 44473, 105313, 205611?\nAnswer: 355231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 233, 1\/34, 0, 1\/2?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 10*j + 3. Let o be c(2). Let l = o - -11. What is the remainder when l is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67158574 to the power of 1\/2, to the nearest integer?\nAnswer: 8195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*m + 0 + (-2 + m + 2)*(3 - 5 + 0) + 5*m + 4*m - 7*m + (-2*m + 0*m + 5*m)*(0 + 0 + 1).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 277*a**4 + 2*a**3*r + 440*a**2*r + 45*a*r + 6*a + 50*r wrt a?\nAnswer: 3324*a**2 + 12*a*r + 880*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 99*v + 850. Give z(-103).\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1459254\/77 + -18951. What is the common denominator of -89\/88 and y?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -143550756*a + 51443400?\nAnswer: -143550756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 111345, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 30. Let l be d\/(-3) - (-3)\/(-9). Calculate the highest common factor of l and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -815, -794, -767, -734?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, s: 5, j: 4, a: 1}. Give prob of sequence jsga.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-7)\/(a*a**(-2))*(a*a**(1\/4)*a)**(-33) assuming a is positive.\nAnswer: a**(-321\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2 - 17*f + 34. Determine n(6).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1125*b - 426339. Determine a(-379).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 9:06 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/4 and -73\/2753050.\nAnswer: 5506100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -4. Let a = x - 5. Solve s + 5 = -a*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 384401*r**3 - 30*r**2 + 7181964*r wrt r?\nAnswer: 2306406*r - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51876*f**2 + 51745*f**2 - 103620*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 318671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**4*n - 2*h**4 + 378*h**3*n - 2*h**3 + 11*h**2*n - 2*h**2 + 114*n wrt h.\nAnswer: 96*h*n - 48*h + 2268*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**2 + 489780*l + 4897300 = 0.\nAnswer: -97946, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5677\/16, 0.1, 0.2 in descending order.\nAnswer: 0.2, 0.1, -5677\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/15)*g**(-16))\/(g\/(g**(-2\/17)*g)*g*g*g\/(g**(2\/33)\/g)))**(-13\/5) assuming g is positive.\nAnswer: g**(245414\/4675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.27775 + 38943.\nAnswer: 38944.27775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1344)\/(-15)*(-4070)\/148. Let h(y) = -42*y**2 + 7*y + 6. Let w be h(-4). Let p = w - j. What is p rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 340 = -2*z + 6*z, -q + 80 = -z. Let f be z\/(-1 + -3)*(-112)\/6. Let y be (-12)\/78 - f\/13. Solve b = 3*i + 10, -5*i = 3*b - 2*b + y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*l**2 + 10209224*l - 1856224.\nAnswer: 4*(l + 232028)*(11*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243676, 244559, 245442, 246325, 247208, 248091?\nAnswer: 248974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226929455?\nAnswer: 5, 31, 61, 24001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 8a7?\nAnswer: 8a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 335*d**2 + 119*d**2 + 458*d**2 - 264*d - 3*d**2 wrt d?\nAnswer: 1818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 11110010001?\nAnswer: 11110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d - 2. Let f(b) = 57*b + 65. Let q(u) = f(u) + 2*r(u). List the prime factors of q(6).\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.6 < -38.939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1883.8 to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b + 5*v, -5*b - 3*v - 18 = -6*v. Let c(p) = -p**2 - 2*p - 1. Calculate c(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**3 + 120*u**2 + 5*u - 18. Let s be h(20). Is 16081 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 6\/55, 5, -11, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.2 - -17. Let v = 0.2 + c. What is the fourth biggest value in 3, -1\/6, 0, v?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 84*c - 440. Determine s(11).\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -1. Let u(n) = n**3 - 5*n**2 + 3*n - 10. Let k be u(l). Let o(c) = -c**2 + 5*c + 9. What is the units digit of o(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1930*c + 50173 + 2143 - 2136 = 0 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000014139257 to seven dps.\nAnswer: -0.0000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1\/4 (b) 0.2 (c) -2 (d) -1\/25 (e) 1499\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-8\/9)*s*s\/((s*s**(-12))\/s)*((s**(-5)*s*s)\/s)**(14\/5) assuming s is positive.\nAnswer: s**(131\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16510 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -530 equal to -530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2131256 (base 7) to base 13.\nAnswer: 9132b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-45)\/(-24)*((-476)\/70 + 8). Let t(b) be the first derivative of 11 + a*b**4 + 0*b - 1\/3*b**3 + 0*b**2. What is the third derivative of t(u) wrt u?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 3\/47427218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 48 = -3*b, -f - 16 = -2*f + b. Suppose 120 = f*y - 12*y. Solve 5*o + 3*m + y = -2*m, -2*o + 5*m + 23 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-5) + -2)*55. Suppose 2*s + 2*s + 24 = 4*m, 3*m - 4*s - a = 0. Suppose -5*p + 16 - 3 = r, 0 = 2*r - 6. Solve 2 + m = p*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, m: 5, c: 7}. What is prob of picking 2 c?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**3 + 24*q**2*x - 2*q + 39*x wrt q.\nAnswer: 3*q**2 + 48*q*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29, 109, 247, 449, 721, 1069, 1499, 2017?\n\"Answer: x**3 + 23*x**2 + 4*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10697 + 74883\/7. Which is the third smallest value? (a) 5 (b) -0.1 (c) -47\/5 (d) o (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + sqrt(13) + 2 + 5.\nAnswer: sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*j**5 - 85*j**4 - 465*j**3 - 585*j**2 - 265*j - 30.\nAnswer: 5*(j - 6)*(j + 1)**3*(6*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 51*c + 444. Calculate o(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2875*w. Let m(n) = -876*n. Determine m(q(k)).\nAnswer: -2518500*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5*t + 127, 0 = p - t + 6*t - 28. Suppose 3036 = 45*o - p*o. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 + 28 = -5*u, 4*s + 25 = -u. Let m(a) = -a**2 - 12. Let f(z) = -2*z**2 - z - 23. Let k(w) = -6*f(w) + 11*m(w). Give k(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -22?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6*d + 167087 = -268936, 5*d = w - 145285. Round w to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2065.535ml?\nAnswer: 2.065535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + ((-245)\/75 - (-1)\/(-3))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 156 - 151, 4*a + d = 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-19\/4)\/(n*n\/(n\/((n*n**(-8)*n)\/n))) assuming n is positive.\nAnswer: n**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 184995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2541) - sqrt(2541))\/(sqrt(847) - (sqrt(847) - -2*sqrt(847)))*6.\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 4*l**2 - 2*l - 77. What is s(0)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3195260, -6390503, -9585746, -12780989?\nAnswer: -15976232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + (-12 - -15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 317 = h, 0*z = 2*z + h - 159. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**3 + 4*f**2 - 9*f - 5. Let s(v) = v**2 - v. Let i(b) = h(b) - 4*s(b). Let p(j) = -12*j**3 - 16*j - 16. Calculate 16*i(z) - 5*p(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -14.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 317, 118, -207, -658, -1235, -1938?\n\"Answer: -63*g**2 - 10*g + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0740960906 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 13. Let s(b) = 2*b - 9. Let m be s(6). Let h = 6 - 4. Solve -3*g - 5*q + 4 = p, -h*g - m*q = -5*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 1. Suppose 4*p + 3 = -1. Let z be j(p). Which is greater: z or -13\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2021811?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 38750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 72 + 23*u - 153 + 45. Does 9 divide t(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.078 - 0.178. Let h = 6 + -6.3. Let d = h - -1.3. What is the closest to d in -4, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189.376 nanometers to centimeters.\nAnswer: 0.0000189376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40556*u = v - 40559*u - 60, 5*u = -15*v - 100 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7622747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.639 and -731.\nAnswer: 467.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 1\/60*f**5 + 0*f + 0 + 6*f**2 + 8\/3*f**3 - 1\/120*f**6 + 1\/24*f**4. Let u be t(0). Solve u = 5*j - 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*o - 1790 = -26 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11974 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*j - 7*j + 32*j + 5*j as v + z*j and give z.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -231 * -0.3\nAnswer: 69.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (410\/(-75) - (-9)\/(-45))*3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -571*i - 102. Let u be c(-5). Suppose -28*d = u - 7569. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 + -62. Suppose t + 1 = g - 3, -d = t - 3*g. Is t less than or equal to 2\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5330273 and 2990.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81.8 + 81.8. Let v be ((-7)\/(-21))\/(8\/36). Let x be (-1)\/2*(-2)\/5. What is the closest to -3 in x, g, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0 (c) -2\/3 (d) 2.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 2700306.\nAnswer: 5400612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -389 - -557. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941 is divided by 135.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128 + 193. Is 4\/(-10)*1 - (-2431)\/z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -685?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/12 + -3 - 219\/(-12). Calculate the greatest common divisor of x and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -16*x + 17. What is the tens digit of m(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 8:11 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 80 in -0.01, -4, -0.4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 1:01 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248 - 22 - 84 - 84 - 17*u.\nAnswer: -17*u + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1257417 (base 8) to base 2.\nAnswer: -1010101111100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + (sqrt(192)*1 + 0 - (-3*(sqrt(192) + -2) + sqrt(192))))**2.\nAnswer: -240*sqrt(3) + 1753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 46. Let h(u) = 20*u**2 + 7*u. Let m(i) = -40*i**2 - 18*i. Let f(z) = t*m(z) + 5*h(z). Let x(n) = -3*n**2. What is f(x(o))?\nAnswer: 180*o**4 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0066523465 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + 762*h. Let j(g) = -7*g**2. What is n(j(c))?\nAnswer: -98*c**4 - 5334*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 5 - (-1 + 0). Suppose 20 = -3*w - d, -4*w - 44 = -4*d + d. Let y = w - -9. Sort y, 4, f.\nAnswer: f, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2 + 1. Let k be (-3)\/(15\/(-2)) + (-7)\/(-20). Which is the third smallest value? (a) k (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 - 5*n**2 - 2*n - 5. Suppose 0 = 2*v - v - 5. Let t(p) = p**3 - 4*p**2 - 2*p - 4. Give v*t(c) - 4*h(c).\nAnswer: -3*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 + 79*j + 1601. Let c(n) = 2*n**2 - n + 1. Let g(t) = 2*c(t) - 2*q(t). Factor g(z).\nAnswer: -2*(z + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*c - 10, 6 = -4*g - 4*c + c. Suppose -3*k + 36 = -g. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 746*h - 37872 + 7547 - 3991 for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1073545735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-19)\/2)\/(33\/66). Let q = 0.07 - -5.93. Which is smaller: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 + 9*p + 5. Let v(m) = -5*m**2 - 8*m - 5. Let w(z) = 6*h(z) + 7*v(z). Is 22 a factor of w(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g + 6*z = -31*g + 15*g - 12*z - 36, -4*g - 90 = g + 39*z for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/10 - 2)*100\/(-40). Which is greater: v or -2\/227?\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, w: 1, s: 1, c: 6, n: 2}. Give prob of picking 1 s and 2 v.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -6. Is i - (-57)\/(-2)*-2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 126 = -7*o. Let p be 2\/(-3)*(o\/12 + -1). Is p < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58 in -2\/13, -1\/7, -0.3, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12852 and 135324.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 715811?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3567077 rounded to three dps?\nAnswer: 8.357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = a + 5*r, -2*a - 5*r = -2. Let c be (-2 - (6 - a))*5\/2. Let m be (-1)\/(-1*c\/(-265)). Calculate the highest common divisor of 477 and m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2206007*l + 0 - 2205953*l - 1.\nAnswer: 54*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + 162. What are the prime factors of c?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/9 - 12092*o - 108824\/9.\nAnswer: -4*(o + 1)*(o + 27206)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 805 = 2*j - 2101, 5*l = -j + 676. What is the greatest common factor of 2460 and j?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Let o(k) = -k**3 - 4*k**2 - 7*k - 26. Let z be o(-4). Put 1, z, d in ascending order.\nAnswer: d, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(4\/(-10 - -6)). Let m(r) = 6*r + 61. What is the remainder when 263 is divided by m(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(832) + 1 + 4 + -1 + (sqrt(832) + (sqrt(832) + 1 - sqrt(832)))*2 + -3)**2.\nAnswer: 48*sqrt(13) + 7489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 7. Suppose 3*a + 4*d - 2 - 8 = 0, 1 = -2*a + 5*d. Solve 2*c - j*c + a = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1*1*132\/4356.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001010011 (base 2) to base 10.\nAnswer: -3667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - 2) - (-5 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (sqrt(85) + -2*(-1*sqrt(85) + sqrt(85) - sqrt(85)) + sqrt(85))) + 2*1*sqrt(85))\/(sqrt(15)\/(sqrt(9)\/sqrt(3))*6)*-6.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = 17 + 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962015997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-9)\/27)\/((-1)\/18) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**6\/30 + m**5\/20 + m**2\/2 - 29*m. Let t(w) = -31*w**4 - 41*w**3 - 10*w**2 + 4. Let p(y) = -4*a(y) + t(y). Factor p(f).\nAnswer: -5*f**2*(f + 1)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 251, 569, 1021, 1673, 2591, 3841, 5489, 7601?\nAnswer: 10243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3*s**2 - 4*c**3 - 1366*s**2 + 85 with respect to s.\nAnswer: -2*c**3*s - 2732*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.74 + 0.14. Let f = -5.468 - z. What is f rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6449600*a**6 + 35015836*a**2.\nAnswer: 773952000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + (-66 - -57) - -38?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2381, -4750, -7111, -9458, -11785, -14086, -16355, -18586?\nAnswer: -20773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5003.616l in millilitres?\nAnswer: 5003616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p - 2 + 2. Suppose p = -6*u + 6 - 0. Let s(i) = -12*i**2 + i**3 - 14*i**2 - u + 19*i**2. Determine s(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*k + 1910 - 1747 = 0, 0 = -4*p - 5*k + 143. Calculate the lowest common multiple of 7 and p.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4069186 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 32. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2) - (-105)\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*n - 47*n = 323, -4*h - 2*n = -22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 32430?\nAnswer: 32430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 + -216\nAnswer: -215.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -858.3 take away -0.4?\nAnswer: -857.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, f: 1, n: 2, o: 1, j: 2, k: 2}. What is prob of sequence nfkn?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**3 + 6*o**2. Let i(n) = 10*n**3 + 13*n**2. Let v be (-357)\/(-27) - (1 + 14\/(-18)). Calculate v*g(j) - 6*i(j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-1206)\/(-1139)) - 20\/(-2*1))*-2.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = 0, -4*o + 12 + 0 = 4*k. Which is greater: 1\/27 or o?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18348*h**3 - 446*h**2 - 530*h + h**4 - 79*h**2 + 18348*h**3 wrt h?\nAnswer: 12*h**2 - 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v**2 + 16*v**2 - 27*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -29. Suppose 0*m - t*m + 312 = 0. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -7*d**3\/3 - 2136*d**2 + 10093*d\/3 + 1834 = 0.\nAnswer: -917, -3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.7 (b) -63 (c) -3 (d) 2 (e) -7\/2 (f) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 521186 and 306580.\nAnswer: 5211860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5 - 16\/5*a**2 - 8\/5*a = 0. What is a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*k - 8 + 25, 4*k + 4 = -4*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5, 2*t - 4*j - 754 = -168. Suppose 10*c - 5*c - 3*g = 280, g = -5*c + 300. Calculate the remainder when t is divided by c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 910*g**2 + 520*g - 4248. What is the tens digit of x(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33530 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3 - 1862752*a**2\/3 + 96384997652*a\/3 - 42837408784\/3 = 0. Calculate a.\nAnswer: 4\/9, 103486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, c: 5, h: 2}. What is prob of sequence hi?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300021 (base 6) in base 11?\nAnswer: 48654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4496232us in minutes?\nAnswer: 0.00000000749372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 29712608399.3919.\nAnswer: 29712608397.3919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -934*y + 9292*y**2 + 934*y - 55356*y**2.\nAnswer: -46064*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1077*u**2 - u - 5. Let i be n(5). Let w be i\/(-10) - 6\/(-4). Suppose w = l - 1805. What is l rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 2. Let g be 49\/14 + s\/(-2). Is g greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -820 + 79. Let u = k + 755.03. Let l = u + -0.03. What is the closest to -2\/5 in 1, -4, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711068037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3646900, 3646871, 3646842, 3646813, 3646784, 3646755?\n\"Answer: -29*y + 3646929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmfmrfffmnhhmftfrmr. What is prob of sequence mm?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 2*c**2 - 2*c + 2. What is the least common multiple of 11 and m(3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**2 - j + 4. Calculate d(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -116*l**3 - 823*l + 7*l**3 + 823*l - 2703 + 668 wrt l.\nAnswer: -327*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26.0027 - -26. Round g to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2659 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/36*3)\/(1269\/108). What is the second smallest value in m, 2\/7, -16?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2674 (base 8) to base 3.\nAnswer: 2000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 - -307 - (6 - 76)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 6:10 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a. Let v(c) = -445*c. Calculate d(v(j)).\nAnswer: -3115*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**5\/10 - j**4\/2 - j**3\/3 + 3*j**2 - 5*j. Find o, given that k(o) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 + 98*t**2 - t + 45. Let w be u(49). Let n(a) = -a + 4. Let i(s) = 2*s - 9. Give w*i(g) - 7*n(g).\nAnswer: -g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249686, 249662, 249622, 249566, 249494, 249406?\nAnswer: 249302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzazza. Give prob of sequence za.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 10. Let d = s - -4.00008. What is d rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2457\/858)\/63*-4*(-180)\/5\nAnswer: 72\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -5. Suppose -4*m = -2*t - a*m + 179, -92 = -t + 3*m. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 + f**3 - f**2 + (0 - 3*f**2 + 0)*(2*f + 2*f - f) + 3*f**3 - 3*f**3 + 2*f**3 + 4 - 2*f**3 - 4 + (f**3 + f - f)*(-1 + 0 + 2).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a3473 + 4a8?\nAnswer: -1a2b87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 3)*((-7*q - 39*q + 11*q)*(-8 + 0 - 14) - q + 5 + 0 - 3) as k*q + p and give k.\nAnswer: 1538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 230, 281, 260, 143, -94, -475, -1024?\nAnswer: -1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -144.44\nAnswer: -148.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 11*h**2. Let n be 7 + 1*9\/(-3). Let g be (2 - 4)*(1 + -5). Let y(q) = -n - g - q + 12. What is y(c(j))?\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 26*k + 7. Let n = -29 + 26. Let x(j) = -11*j - 3. Let c(u) = n*l(u) - 7*x(u). Let z(v) = 13*v. Give z(c(s)).\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 113 + -108 + -11 + -1 + 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 365032001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.094 - 0.07. Let m = -1.424 + 6.6. Let a = g + m. Round a to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k - 173*k**2 - 76*k**2 - 12*k.\nAnswer: -249*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.748053573 + -0.29.\nAnswer: 0.458053573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 2*a - 4. Suppose 2*w - 4*u - 16 = -u, 4*u = -5*w + 17. Suppose -5*v + 6 + 5 = -3*x, 27 = w*x + 3*v. Let z be 3 + -6 + x\/6*-2. Give p(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*a - 412*a - 8*i + 32 = -822*a, -3*a + 3*i = -21 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-18)*(c*c**(-11)*c*c)\/c assuming c is positive.\nAnswer: c**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.10084. Round h to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1151*b - 63 = -1130*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -321877.\nAnswer: -321881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2562\/10980)\/((-11)\/495).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 114876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 218 = 2*r - 0*y, 3*r = -3*y + 324. Let v = 68 + r. Suppose -8*w + v = -142. Is 25 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1986 divided by -331?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 12:20 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2.5 (b) 2\/57 (c) 3 (d) 369\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.8 (b) 1\/9 (c) 0.4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-7\/4)*b*b)\/b*b*b*b*b**(-4\/5)*b)**(-14) assuming b is positive.\nAnswer: b**(-343\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2926, -2898, -2884, -2890, -2922, -2986, -3088, -3234?\n\"Answer: -x**3 - x**2 + 38*x - 2962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*i - 19386 + 28476 = 38*i for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1300535 (base 6) to base 10\nAnswer: -70187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 3192.\nAnswer: 54264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000000 + -10000?\nAnswer: 1010110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43.6 + -241.6. Let j = u + 130. Let n = j + 68.033. Round n to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15781 - 15731. Solve -z - 20 = -10*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 0.5, 6, 541, -3, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {j: 3, f: 6, z: 6}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -54*y - 1. Let a(d) = 1014*d. Let h(g) = -283*g. Let z(v) = -5*a(v) - 18*h(v). Determine c(z(q)).\nAnswer: -1296*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 4, -3, -4 in descending order.\nAnswer: 53, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -252311 (base 6) in base 7?\nAnswer: -122554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*(31\/(-372))\/(4\/(192\/(-28)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -2\/5, 11\/798?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -213.4 + 215.397. Let d = f + -2.926. Round d to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 667.2 + -667. What is the third biggest value in -1, 13, a, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 9375310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 2*m**2 + m**3 + 5*m**2 - m**3. Let i be r(2). Let p = i - 2. Solve 0 = p*h - 2*s - 18, 3*h - 22 = -s + 3*s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59498512 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = y + 12*f - 1437, 0 = -2*y - 4*f + 2930. What are the prime factors of y?\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62368.9um in centimeters?\nAnswer: 6.23689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 4*n, 22*n = 3*k - 27*n - 86 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + q = -0*m + 1070 - 1046, -3*m + 3*q + 36 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 297\/(-44) + (-2 - 1) and -91\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.17, 0.1, -286\/3, -5?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 + -141 + 16 + 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = 4*d - 13*b - 102, -76 = -3*d + 4*b. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**2 - 5*g + 5. Let t be s(2). Let y(h) = -h**2 + 36*h + 16. Is y(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/7)*p**(2\/15)\/p)**(-37) assuming p is positive.\nAnswer: p**(1702\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*x - 76842 = 25641. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) - (-29)\/4. Let o be ((-535)\/(-75) - t) + 146\/30. Solve -10 = 3*s - o*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 5*k**2 - 5*k - 7. Let t be m(6). Let z be -2 + 1 + 2 - 0. Which is the biggest value? (a) 0.5 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*c - 8*c + 5*c**2)*(602*c - 217*c - 288*c) in the form x*c**2 + w + r*c + t*c**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 226\/657 or -1?\nAnswer: 226\/657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*q + 23, 5*q = -2*d + 23 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3492 and 317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + -14 + 16 + (-13 - -17)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q**3 - q**2 - 7*q - 5. Let y be l(-1). Let x(g) = 4*g + 15. Let k(n) = 9*n + 31. Determine y*x(m) + 2*k(m).\nAnswer: -2*m - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 2. Let r be -4 - (-1 - (4 - 6)). Suppose d + 3 = 1. Sort r, b, d in descending order.\nAnswer: b, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**2\/5 - 1159896*g\/5 - 84084920676\/5 = 0. What is g?\nAnswer: -144987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 17*r - 56. Let s be c(6). Calculate the greatest common divisor of s and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 + 2*z**3 + z**2 - 3*z + 1 + z + 31*z**4 + 0*z**3 in the form u + w*z + m*z**3 + q*z**4 + x*z**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in -4, -59, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + (-4 - (-6 + 11 + -1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i**(2\/19))*i**(-5))**(7\/5))**(-44) assuming i is positive.\nAnswer: i**(35728\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/6))**(-1\/29) assuming g is positive.\nAnswer: g**(5\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 3*v**2 + v + 3. Suppose 4 = 2*p, -2*t + 4*p - 6 = p. Suppose t = -5*w + 3*j + 15, 0*j = j. List the prime factors of h(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.88 * 126765\nAnswer: -111553.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -183*s**2 + 1511*s**2 + 82*s**2 + 433*s**2 as h*s**2 + g + l*s and give h.\nAnswer: 1843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1396, 1408, 1444, 1516, 1636, 1816, 2068?\nAnswer: 2404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -19*o**2 - 2208*o + 1129*o - 4 + 1077*o. Determine a(-2).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 0*i - 16. Suppose 0*q = -4*f + 4*q - 8, 2*q + i = 0. Does 18 divide f + 3 + 1 + 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/3 and 91\/658215.\nAnswer: 658215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*d + 89*d - 295 = -3*v, 4*d = -v + 104. Calculate the greatest common divisor of 40 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5 = 4*h + 3, 5*u = -5*h - 10. Which is greater: u or 1\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(11) + -2)*1 + -3 + sqrt(1331)*2.\nAnswer: 1 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/15 + 11872*g\/15 - 16562.\nAnswer: -2*(g - 5915)*(g - 21)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 51*k - 1. Let r(q) = q**2 - 2*q - 21. Let m be r(6). Let c(b) = 7*b**2 - m*b**2 - 2*b**2. Calculate n(c(s)).\nAnswer: 102*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.85887 - 0.75887. Let o = 2.5 + 8.5. Let a = -15 + o. What is the fourth smallest value in g, a, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32271 or -32272?\nAnswer: -32272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1154156g to micrograms.\nAnswer: 115415.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -189067.18069862 + 189167.1807. Let y = c - 100. What is y rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -49. Let n = o + -20. Let u(b) = -b**n - 2*b - 145 + b + 144. Determine u(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13\/5 (b) 2\/3 (c) 1 (d) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 220.81 rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5439304 is divided by 307?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21340 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 i, and 1 j when three letters picked without replacement from ijjiyfoii?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - x - 1. Let b(h) be the first derivative of -2*h**3\/3 - 2*h**2 - 4*h - 39. Determine b(r) - 4*l(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 0.66, -0.4, -0.3?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 11 = 4*p, 0*z = -2*z + p + 5. Let t be (z + -4)*(-4)\/(-3). Suppose 4*a - 2 = 2. Put -3, a, t in decreasing order.\nAnswer: a, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2154203 (base 7) to base 11\nAnswer: 17159a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25 - ((31 - 8) + -10) - (35 + 0)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57\/8351 - -24234089\/75159. Let z = t + -322. What is the closest to -0.1 in -6, z, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3468400?\nAnswer: 2, 5, 13, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -12*n - 4. Let q(p) = -p + 9. Let j be q(6). Let r be v(j). What is r rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -999 - -3172. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = f - 3900020, -f - 5*r + 19499980 = 4*f. What is f rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 13 = 13*j - 10*j, 0 = 3*j + 3. Sort i, -2, 6 in descending order.\nAnswer: 6, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5070 = 2*w - 4*f, 6985 = 2*w - f + 1903. Let u = w - 1654. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -154567 or -154564?\nAnswer: -154567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29137385 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 98*q - 77*q + 13*q - 55*q + 52*q to the form k + f*q and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 49*u**4\/8 - 21*u**3 + 81*u**2\/4 + 286. Factor p(r).\nAnswer: r*(7*r - 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 18, -3, -2, -120 in ascending order.\nAnswer: -120, -3, -2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 38\/9 + 20\/(-6 + 1). Which is the closest to t? (a) -2\/3 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/660 and (-1061)\/66 + 14 + 2\/3.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53971, -53987, -54005, -54019, -54023, -54011, -53977, -53915?\nAnswer: -53819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -432 - -102?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.66 and -92.\nAnswer: 60.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12417, -24870, -37329, -49794, -62265, -74742?\nAnswer: -87225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00297 rounded to four dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059729 minus 6?\nAnswer: -5.940271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/12)\/(40\/(-1328)) and 109\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1. Suppose 13 = 5*h - 12, 5*i = 5*h - 5. Let z(q) = 5*q**3 - q - 4. Let p(t) = i*s(t) - z(t). What is the second derivative of p(b) wrt b?\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -30) + 2 + 0 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005158 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 13*o - 6. Let c be p(-12). Suppose -91 = 2*f - c*f - 5*q, -q + 98 = 5*f. What is the highest common factor of 38 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 5:38 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -946908743 rounded to the nearest one million?\nAnswer: -947000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 5*x - 43, x - 4*x - p + 23 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 157881408.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17802987.\nAnswer: 3, 127, 46727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d. Let p(x) = 71*x. Determine p(h(m)).\nAnswer: 142*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -3, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-3906))\/(2\/6). Let d = 3872\/11067 + o. Let r = d - 29\/34. Which is the closest to 1\/3? (a) r (b) 2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 909201 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18289*p**3 + 241*p - 29232833.\nAnswer: -54867*p**2 + 241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-166 - -108) + 18\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d. Let z(a) = -239*a**2. Calculate z(f(v)).\nAnswer: -8604*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 437 + -504. Let v = -59050.934 + 59118. Let o = v + t. What is o rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2304\/(-54)*321\/(-856)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134516697.666123 - -32.333877. Let t = f - 134516580.0000138. Let l = -150 + t. What is l rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -2, 271, 816?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-5) - 3)*(-8)\/(-6). Let j(c) = -c**2 - 5*c + 9. Let k be j(-7). Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f**3 + 7*f**2. Suppose -4*n = 2*p + 12, -2*p - 10 = -p + 3*n. Let h(z) = z**3 - z**2 - z. Let b(i) = p*k(i) + 4*h(i). Factor b(w).\nAnswer: -2*w*(w - 1)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 143628 = 12*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*m + 2154 - 7524 = -48*m - 2859 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 270*s**2 - 29*s - 72. Determine j(-2).\nAnswer: 1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20147 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 p be (((-16)\/(-18))\/(-2))\/((-26)\/39). Factor -2\/3*v**2 - p - 4\/3*v.\nAnswer: -2*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*q + 5*q = -191, -4*k + 4*q + 376 = 0. Calculate the remainder when 174 is divided by k.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2108000 to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from {h: 7, w: 1, t: 4, e: 1, n: 2, p: 3}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7112 + -7045. Solve 63*r = w*r + 24 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -25*o + 50. Suppose o*j = 4*j - 762. 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 87.8311 millilitres in litres?\nAnswer: 0.0878311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 26 - 71. Suppose w - 5 = -3*c + 5*a, 4*a = 5*c - 2. Find the third derivative of -2*d**c + 10*d - 2*d**6 - 10*d wrt d.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1303.613 - 0.1123.\nAnswer: -1303.7253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 23304?\nAnswer: -5\/23304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + t + 0*t - 11070 + 3600.\nAnswer: 2*t**2 + t - 7470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 5*v - w = -3, -5*w + 15 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 254138 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 285711\/103 greater than 2774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3151715690 minus -9877?\nAnswer: -3151705813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4298 - 22754 - 30*q**3 + 32*q**3.\nAnswer: 2*q**3 - 27052","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*j**3 + j**3 - 10*j**3)*(-2 - 4 - 2)*(2 + 2 - 7).\nAnswer: -504*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r - 12 = -4*a + 28*r, 0 = 2*a + 5*r - 6. Factor -3*i + 1\/2*i**4 + 3*i**a - 5\/2 + 2*i**2.\nAnswer: (i - 1)*(i + 1)**2*(i + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 8 = -5*w. Suppose 2*k + 2*q = 3*q + 4, -5*q = -w*k - 4. What is the second derivative of 3*b + b**3 + b**3 - k*b**3 wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06803 times 3\nAnswer: -0.20409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 376554 a multiple of 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**3\/6 - 2*r**2 - 25*r. Let l be s(-6). Solve l*q - 5 = -9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086689171.\nAnswer: 1171, 928001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (17 - 10) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15875?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by 25.\nAnswer: -56\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1609115 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 21*c**2 - 19*c + 25. Let x be v(-20). Suppose 3*l + x*j - 3*j - 101 = 0, -3*l + 5*j = -94. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 7*h**2 + 2*h + 9. Let k be q(-7). Let n(d) = d**2 + 6*d + 7. Let a be n(k). Suppose 0 = -s + 4 + a. Are 6 and s unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v - 1 - 2*v + 6 - 2*v.\nAnswer: 5*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 96, 146, 196, 246?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = a + 1, 2*a = -5*m + 2880. Is m a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1032.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7434361 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -9 + 15 + (-6 - -13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 100769280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 92, 134, 206, 308, 440?\n\"Answer: 15*q**2 - 3*q + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.75 + 1.85. Let h be -2 + (-1)\/((-1)\/1). Which is the nearest to o? (a) 5 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1235 and 144495.\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 16*c + 16. Suppose 2*p - 32 = -0*p. Let f be (1\/5)\/(-11 - (-2760)\/250). Let o(z) = z**2 - 5*z - 5. Give f*y(v) + p*o(v).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*v = -8, 2*m - v + 2*v = -9. Let w be 27 - (-3)\/m*8. Calculate the greatest common factor of w and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h = 20*h. Let u be 0\/(h - 0 - 2). Suppose u*g - 3*g + 9 = 0. Sort g, -3, 5 in increasing order.\nAnswer: -3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/((-4)\/(-6)). Let c be (-1)\/(b\/9) - -2. Let v(k) = -k**3 - 7*k**2 - k - 1. Does 4 divide v(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -170*c - 34. Let r = -91 - -85. Let w be j(r). Suppose 10*i - w = 1244. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 834 - n**2 - 644 + 0*n**2 as f + i*n + v*n**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13222033221 - 2?\nAnswer: 13222033213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 288722 (base 11) in base 13?\nAnswer: 12a220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**4\/30 - s**3\/3 + 6*s**2\/5 + 11*s. Factor x(b).\nAnswer: -2*(b - 1)*(b + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3840119 to the nearest integer?\nAnswer: 1960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 41.6291?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*m = -32, 542*x - 10*m - 70 = 547*x for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 5*g + 5. Let c(p) = -8*p**2 - p + 1. Let u be c(1). Let b be (-4 + 2)*28\/u. What is the tens digit of w(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152 + 151.7. Let r = -0.45 + 0.05. Let f = -68 - -206\/3. Which is the second smallest value? (a) t (b) f (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzqzfzzsfzoqsfqqqsqs. What is prob of sequence qq?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -4, -20, 11, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 18 - (3 - 10) - 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a year in months?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**3 + 3*l**2 - l - 2. Let v(f) = -19*f**3 - 9*f**2 + 4*f + 5. Determine -7*a(n) - 2*v(n).\nAnswer: -4*n**3 - 3*n**2 - n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 613.3 + -613. Let h be 4\/10 + (-3)\/20. What is the closest to h in -0.3, y, -2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**3\/6 - 27*z. Let y(g) = 32*g**2. What is y(c(x))?\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 18*w**2 + 48*w - 333. Calculate g(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 11:36 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 32.9754 * -0.18\nAnswer: -5.935572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 43957692 = -6*h + 5*u + 12587892, -5*u = 0. Round h to the nearest one hundred thousand.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1605*w + 91 = 1604*w + 3*c, w = -4*c - 63 for w.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 7 = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 2*c - 1. Let l(g) = -g. Let h(n) = -2*l(n) + v(n). Let t(s) be the first derivative of -s**3\/3 - 1656. Calculate -4*h(b) + 7*t(b).\nAnswer: b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 + 51*s**2 - 6*s + 839. Give b(26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1956.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2022 is divided by 780?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 7*s**2 + s + 6. Let u be (-90)\/12*8\/10. Let w(d) = -2*d**3 + 15*d**2 + 2*d + 13. Let b(n) = u*w(n) + 13*x(n). What is b(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40*((-135)\/(-225))\/1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 12 = -4*d, -4*f + 1 = -5*f + 5*d. Find the common denominator of 8\/11 and 3*(-34)\/(-492)*f\/2.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4032 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**5\/24 + w**3\/2 + 3*w. Let x(n) be the second derivative of t(n). Let b(p) = 2*p. Determine x(b(g)).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + 3*o - 2*o)*(-1 + 1 + 2)*(-5 - 4 + 4) in the form s + b*o and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 96\/(-1752)*10*(-11)\/220\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18366114 divided by -4.\nAnswer: 9183057\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*l + 19*l - 240 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 10*q. Let w(p) = 9*p**2 + 5*p - 16. Let g(h) = -5*h**2 - 3*h + 9. Let t(j) = 5*g(j) + 3*w(j). What is t(i(d))?\nAnswer: 200*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 8:43 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 27.10609 years?\nAnswer: 0.02710609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -140*i + 9435. Give f(70).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2976.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 22484.32ml?\nAnswer: 22.48432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178, 1\/6, -4, -2\/3, -3\/2, 2\/35.\nAnswer: -4, -3\/2, -2\/3, 2\/35, 1\/6, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*i - 22 = 0, 0*t + 2*i = t + 2. Find the third derivative of 8*f**2 + 3009*f**6 - 39*f**2 - 3020*f**t wrt f.\nAnswer: -1320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2026323, 2026315, 2026305, 2026293, 2026279, 2026263, 2026245?\n\"Answer: -w**2 - 5*w + 2026329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 5*y**3 - 2*y**3 + 5*y**3 - y**4 - y**4 + y as b*y**4 + l*y**2 + s + w*y**3 + u*y and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29961 is divided by 832?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -10*y - 15. Let m be z(-2). Let 1\/4*j**3 - 1\/4*j**2 + 1\/4*j**4 - 1\/4*j**m + 0 + 0*j = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 505 = 5*s, -3*s = -q - 4*q + 529. Let g = q + -110. What is the remainder when 25 is divided by (-88)\/g - (-10)\/(-15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -135 and -1.06.\nAnswer: -136.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, w: 3, q: 5, b: 1}. What is prob of sequence tbw?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -90, -191, -322, -477?\nAnswer: -650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7*n + 20 = 4*t, -5 = -n + 4*t. Solve 5*x - 35 = -3*l, l + n*x = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -1261*i + 20182. Determine w(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7243 - -7238. What is the nearest to 2 in -2, -11, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 5) + -3 + -23 + 10 + -13?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*w**3 + 22 - 40 - 7*w**2 + 11*w**3 - 2*w + 20 as t*w**3 + r + b*w + o*w**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961 > 2040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4061 = -489*d - 149 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**14*g)\/g**(-1\/6))\/((g**9\/g*g)\/g**(4\/5)) assuming g is positive.\nAnswer: g**(209\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/8 of a week?\nAnswer: 13860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 14*h - 51. Solve -5*o + h*o = -8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277856 = 214*x + 68674 - 52754. Calculate the remainder when x is divided by 244.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - 1531?\nAnswer: -1505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/200 and (-35 + 2)*3*15\/(-162)?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m + 29*m + 2954 = 17*m + 524 for m.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*m = 22, 5*m + 13 = w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2 - 8*c + 9. Let w be u(1). Suppose 0 = w*d + 3*n - 923, 2*d - n - 137 = 241. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 7. Solve 22 = f*a - 3*t, -4*a - 2*t + t = -14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/7 + 141264*w**2\/7 + 237545505*w - 3326202150\/7.\nAnswer: 3*(w - 2)*(w + 23545)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*s - s**3 + 574*s - 281*s.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.1 + -12855256162.\nAnswer: -12855256166.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5604833*f**2*t**2 - 2*f**2*t + 34*f**2 + 8999*f*t - 2*f wrt t.\nAnswer: -11209666*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c + 22*c - 28*c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-8))\/(114\/(-76))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -959859501 + 0.1\nAnswer: -959859500.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*a**2 + 20*a**2 - 9*a**2 as m*a**2 + w + g*a and give m.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (918\/(-81))\/(236\/1416).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -875, -2095, -3851, -6155, -9019, -12455, -16475?\nAnswer: -21091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 9*b**2 - 3*b + 11. Let i(m) = m**3 + 8*m**2 + 2*m - 10. Let p(u) = -5*i(u) - 4*s(u). Determine p(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663 is divided by 217?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((756\/750)\/9)\/((-10227)\/(-7305))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + z. Let w(n) be the first derivative of 35 - 32 + n + 0*n**2 - n**2. Determine 3*f(l) + 2*w(l).\nAnswer: 3*l**3 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 2694933, -0.1.\nAnswer: -5\/4, -0.1, 2694933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 347 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291790?\nAnswer: 2, 5, 29179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-19)\/3 + -2. Solve -8 - a = -5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/80*((-2)\/(-24))\/((-26)\/260)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33396 and 6432?\nAnswer: 17900256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 90 + (-1 - 45)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 334290 by -6.\nAnswer: -55715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -61 + 3 - (1089 + -1102)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, 7, 25, 51, 85, 127, 177?\n\"Answer: 4*l**2 - 2*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19849195909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Suppose 4*t - 4 - 4 = m. Let l(b) = b**2 - b + 1. Let x be l(t). Solve 0 = 2*q - x*p + 5, -q + 3 = 6*p - 2*p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-8 - -12)) + (0 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 171 = -109. List the prime factors of m.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -116*u + 124*u. Suppose -g = 3*g. Let w be g\/(0\/(8\/u) - 1). Solve -3*k + 0*k + 15 = w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33043 - -4?\nAnswer: 33102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15412 and -0.3?\nAnswer: 4623.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 4*t - t + (-2*t + 3*t + 0*t)*(4 - 2 - 3) + t + 2*t - 2*t)*(5 - 3 + 2)*(-2 + 1 + 5)*(-400*t - 359*t + 653*t) as f*t**2 + l*t + g and give f.\nAnswer: -3392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10158033, 10158032, 10158031, 10158030, 10158029?\nAnswer: 10158028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6073 divided by -119.\nAnswer: 6073\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 687 and 13434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:17 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 385*n**2 + 159*n - 1453. Is d(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -4 - 1) + (-5 - 5 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one halves of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -320 greater than -323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)\/k)\/(k*k\/(k*k**(1\/4)\/k)*k*k)*k**40)\/((k*k**1)\/(k*k**(-2)*k))**(8\/13) assuming k is positive.\nAnswer: k**(1665\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/91)\/j*j)\/j**(-7\/4) assuming j is positive.\nAnswer: j**(645\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 e, and 1 q when three letters picked without replacement from xwxwaxxxexewxwqwx?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47580335*j**2 - 33537*j + 11 wrt j.\nAnswer: -95160670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 5225?\nAnswer: 5225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 120 - 1635*i + 117 - 237 - 513*i in the form k + z*i and give z.\nAnswer: -2148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2995 by -113.\nAnswer: -2995\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26241160 to the power of 1\/3, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 130*w**3 + 136*w**2 + 1209*w + 389196359 with respect to w.\nAnswer: 390*w**2 + 272*w + 1209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*i**3 + 1 - 21871*i + 43764*i - 21880*i in the form d + x*i**2 + v*i**3 + n*i and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*10282\nAnswer: 2056.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 238*w**2 - 282*w**2 - 14 + 395*w**2.\nAnswer: -125*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-4)*45\/((-5940)\/(-24))*726\/(-11)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -605 divided by 5\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*f + 14. Let a be -2 + (2\/(-10) - 70\/25). Put f, a, -4 in descending order.\nAnswer: f, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 4*g**2 + 1. Let l be c(4). Suppose -19 = -5*r + l. What is the units digit of 63\/(-14)*r*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -170029 and -170645 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -37. Let a = -15.3 - -19.3. Sort a, w, 0.1.\nAnswer: w, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21971 - -236874443?\nAnswer: 236874443.21971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42 + 4 + 23)*(-3 + 3 - 2*p) to w + n*p and give n.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -23. Suppose -3*n + p = 5*s, 3*n + 4 - 65 = 5*s. Suppose 0 - n = -4*h. Solve -5*l - h = 17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18281 and 9090.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*h - 102 = -28, 5*n + 3*h = 95. Calculate the remainder when 28 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h**3\/11 - 21510*h**2\/11 + 4888272*h\/11 + 9862632\/11 = 0.\nAnswer: -2, 246, 3341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2\/227, 37, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*a + 16*a + 10*a + 19*a.\nAnswer: -29*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4*y + 8401*h**3*r - h**3*y - 22*h**2*y - 2*h*r*y - 115*r wrt h?\nAnswer: 48*h*y + 50406*r - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 354*z**2 - 4238*z - 92. Calculate d(12).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - u + 2*u + (-4 + 7 + 0)*((-2 - 1 + 4)*(-1 - 4 + 4) - 1 + 2 - 2)*(8*u + 78 - 78) as o + x*u and give x.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5723.938 - 5774. Let q = 49.958 - -0.042. Let k = q + r. What is k rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*t = -47*t - 188. Suppose t = 2*c + 2*g, 3*c - g - 432 = -150. Suppose 2*b - 108 = -c. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 369 = -374 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 231.831452 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 686.9695507 rounded to two dps?\nAnswer: 686.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from eeypywwhywhy.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2 = -3*i. Solve 0 = -6*c + i*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -19\/2*z**2 + 5\/6*z**3 + 6*z + 0. Let i be p(7). Solve -3*m + 6*m - 3*n - 18 = 0, -2*n = 5*m - i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 688 - 1373 = 3*u, -a + 1032 = -u. List the prime factors of a.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/(-12)*(-6)\/4. Let y be (0\/(-4 + 7 + -2))\/2. Solve -v*k + 16 = -y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1863 and 10532268?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282 = -24*w - 23 - 55 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pedeedppwkki. Give prob of picking 1 d and 1 p.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:34 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12672 and 25344.\nAnswer: 25344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4548 = -547*y - 12041 - 15481 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/25 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {v: 9, j: 4, n: 1, z: 1, e: 1, f: 1}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/42*((-33)\/((-1287)\/26) - (2 + -1)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -155*h**2 - 2 + 156*h**2 + 5*h - 22*h + (h + 2*h - h)*(-2*h - 2*h + 3*h) + 2*h**2 - 3*h**2 - h**2 + 1 - h**2 - 1 + 3 - 2*h**2 - 3.\nAnswer: -6*h**2 - 17*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 228312.3 rounded to the nearest one hundred?\nAnswer: 228300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 35*m + 24. Let y(j) = -29*j - 20. Let r(a) = -5*h(a) - 6*y(a). Let t(v) = -14011*v**2. Give t(r(d)).\nAnswer: -14011*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/3)\/8*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840 divided by -60.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 121166*z - 121163*z = -46, -11*z - 146 = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126 - -150. Let z = 277.616 - t. What is z rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p + 7*p + 159010 = -22*p + 160374 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6 = 2*f + 2*q, -2*f - 3*q + 6 = 0. Solve -v - 2*v = f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76984 and 744.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1528024 is divided by 857?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-20)*2*5\/(-34)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/5 + 951*x**2 + 1886544*x\/5 + 1881792\/5.\nAnswer: 3*(x + 1)*(x + 792)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 9. What is j(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 9, -27, 1\/10.\nAnswer: -27, 1\/10, 9, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1944.1885 rounded to the nearest integer?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -75680 and -504.\nAnswer: -76184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 14) in base 16?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47334592 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 408309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 167638241*o**5 + o**2 - 176383692 wrt o.\nAnswer: 10058294460*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -132404325.\nAnswer: 66202162.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppmppppppmpmmpp. What is prob of picking 1 m and 1 p?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - (-11 + -9 - -47)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11020 + 16055 + 13028 = -299*i + 14389 for i.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6315 = -127*q + 122*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**5 + 35526*o**4 - 106539*o**3 - 142104*o**2 + 426204*o = 0. What is o?\nAnswer: -2, 0, 2, 3, 11839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-32026)\/(-6) + 160\/(-240)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**2 + 1 - 4\/3*g**3 - g. Suppose 194*t + 54 = 203*t. Let f(w) = 5*w**2 + 2*w + 1. What is t*f(i) + 7*p(i)?\nAnswer: 2*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-21)\/99) + 5. Let d = -9 - -9.01. Let a = 0.09 + d. Are q and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -116, -326, -734, -1406, -2408?\nAnswer: -3806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1\/3 (c) 5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**4\/8 + 30*i**2 - 8*i + 4. Let t(b) be the first derivative of a(b). Let d(w) = w**2. Determine t(d(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -7. Suppose 3*t + 6 = 3. What is the remainder when (101 + t)*(-6)\/(-15) is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41372788 to the power of 1\/4, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 - 5*y**2 + 6*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -5ba5612?\nAnswer: 5ba5611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = -t - 12, -52656 = -2*v - 3*t - 52788 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 98 - 88 = 0. Let s be (-2*(-2)\/r)\/((-10)\/(-47650)). Is 6\/15 + s\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -37\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 961\/42 - 159\/7. Let g(t) be the second derivative of 0 + 2\/3*t**3 - 2*t**2 + y*t**4 - 2*t. Determine g(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d0 (base 14) to base 16\nAnswer: -b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -130. Let c = -182 + q. Which is smaller: -54 or c?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/((-680)\/(-40))*(4212\/8)\/(-13).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*z**3 + 2446*z**2 - 10*z - 21162 wrt z?\nAnswer: 366*z + 4892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -1. Solve 7 - 6*o**2 - o**3 + 4*o**3 - z*o - 1 = 0 for o.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/62 - (-816)\/(-3689).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*i + 7, -4*i - 2 = 4*u - 38. Suppose 0*w = 3*w + u*z - 36, z = -w + 10. Calculate the smallest common multiple of 2 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/(-10)*(-48)\/20. Suppose 0 = -z*i + 3*i - 29400. Round i to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1277064.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71.1*80.513.\nAnswer: -5724.4743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544266 is divided by 90668.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 179985166*q**3 + 293305489*q.\nAnswer: 1079910996*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -707966, 2, -24 in descending order.\nAnswer: 2, -24, -707966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2966027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 = 624*r - 580*r - 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q + 14. Let i = 8 + -6. Suppose -4*b = i*m - 2*b - 18, -4*b + 20 = 0. What is the remainder when u(m) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1082*m**4 - 3*m**3 - 3*m**2 - m + 9667.\nAnswer: 12984*m**2 - 18*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -199476, -199446, -199416, -199386, -199356?\n\"Answer: 30*n - 199506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*l*v**5 + 2*b*l*v**2 - 2*b*l*v + b*v**2 - 87*l*v**5 - l wrt v?\nAnswer: 60*b*l*v**2 - 5220*l*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 53\/4 of a millennium?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21098*z - 266 = -21117*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100375 and 55?\nAnswer: 100375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8269.\nAnswer: 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 + 21*w**3 - 47565731647*w**2 + 47565731647*w**2 - 14*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/4*-1171 - ((-50)\/40 - -2). What is the highest common divisor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22971 - 10534. List the prime factors of m.\nAnswer: 12437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from hwyhgwwhwmhhhewe.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 613, 611, 607, 601, 593, 583, 571?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 50 = 62. Let m(q) = -12*q - 3. Calculate the remainder when m(-2) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*sqrt(405) + sqrt(405))\/(sqrt(1089)*1 + sqrt(1089) - sqrt(9)).\nAnswer: 2*sqrt(5)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 9 + 26. Let n be (-26)\/p - (-22)\/77. What is the third derivative of m**6 + n*m**2 + 4*m**2 - 6*m**2 wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b0 (base 13) in base 12?\nAnswer: -805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -3. Suppose -z + 4*c - 4 = 3*z, 4*z - 2*c - w = 0. What is the second derivative of -4*s**z + 7 + 2*s - 7 wrt s?\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6832)\/(-2562))\/((-7)\/(-3))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = 13*l - 143. Calculate the least common multiple of 498 and l.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-12) + 114\/(-8). Let s be (-4)\/r - 14699972\/(-98). Round s to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150172794 to the power of 1\/4, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = n - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 0*u**4 + 0*u - 5*u**2 - 2\/3*u**3 + 0 + 13\/60*u**5. What is the remainder when z(2) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 92 = 148 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 4:41 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h + 7. Let w be x(-11). Let z = -16 + 28. Calculate the greatest common factor of z and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 5. Let n be t(-2). Let g = -1.9 + 2. Let l be (-8)\/(-6)*3\/(-10). What is the nearest to l in g, 4\/7, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5574)\/82 + (-884)\/36244 - 32.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3926021*k - 3926021*k - k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**4 + 2*j**3 + 451*j**2 - 3501*j?\nAnswer: 24*j**2 + 12*j + 902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 10:14 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 - 81. Suppose y = 5*f - 6*f - f. Solve f = 7*q - 2*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 24*m - 7*m + 2*m - 10*m. Let c(b) = b**2 + 3*b - 8. Let s be c(2). Let a(p) = 6*p - s*p - 6*p + 4*p. Calculate a(o(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 76418, 305626, 687638, 1222454?\n\"Answer: 76402*m**2 + 2*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 91*d - 31*d - 38*d + d - 3*d + 4*d + (-2 + 2 + 1)*(2*d - 4 + 4) + 0*d + 4*d - 2*d.\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 520274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5316043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/8*-2)\/(45\/(-12))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + z - 3. Let m be d(3). Find the second derivative of -m*u - 15*u + 17*u + 12*u**4 wrt u.\nAnswer: 144*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25465802 and -1.2.\nAnswer: -30558962.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2618)\/(-165) - (-4)\/30. Suppose b*m = 13*m. Suppose -t + 7 = -m*t. Solve -3*v = 3, t*g + 4*v - 4 = 5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*n**4 + 3860*n**3 - 37844*n**2 + 48624*n + 23760 = 0. What is n?\nAnswer: -3\/8, 2, 9, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*k - 4 = -174*k. Suppose -86 = -k*m - 2*i, -m = -i - 28 - 1. Calculate the least common multiple of 14 and m.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -495001*q**3 - q**2 + 5*q - 3. Let i be d(1). What is i rounded to the nearest 10000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, d: 4}. What is prob of picking 2 s and 2 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (68 - 19 - 43)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**4 - 5 + 5)*(3 + 1 - 2) + h**4 + 0*h**4 - 3*h**4 + (-4 + 1 + 5)*(-7*h**4 + 6*h**4 + 3*h**4).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*s + 7. Let u be 47 + (s + -6)*3\/1. Suppose -2*c - u = -13*c. Solve -c*y = -4*w - 7*y - 5, w = 4*y - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 126, 973, 3214, 7527, 14590, 25081?\n\"Answer: 113*m**3 + 19*m**2 - m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 21*z + 77. What is f(-5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-44))\/((-42)\/28)*12?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/sqrt(99))\/(-2*sqrt(9)*-4 - sqrt(9)).\nAnswer: sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1 (c) 34 (d) 7 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -62dc (base 15) to base 12\nAnswer: -10123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwzwwwwwwwwwwwzw. What is prob of sequence zzzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**4\/6 - 43*y**3\/2 - 259*y**2 - 22*y - 4. What is the derivative of a(f) wrt f?\nAnswer: 4*f - 129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13061 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) -1\/9 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - 1 + 1 + (-j - 2*j + j)*(17*j + 5*j - 7*j) + j - j**2 - j + 2*j - 2*j - j**2 + 31*j**2 + 17*j**2 + 41*j**2.\nAnswer: 59*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -112 + (40\/(-54))\/(22\/297)?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-19\/4))**(-3\/19) assuming r is positive.\nAnswer: r**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -57*s + 136. Let y be u(2). What is the nearest to 1 in 3, y, 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -5 - 14 - ((-7 - -15) + 0).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/8)\/(12\/(-10))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**5 - 60*w**4 + 224*w**3 - 224*w**2 - 192*w + 320.\nAnswer: 4*(w - 10)*(w - 2)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 + -0.26. Let b = -847343.7199996 - -847344. Let o = k + b. What is o rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-9)*-1*(-15)\/(-120).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**2 - 36*t - 7. Let u be r(-7). Suppose -c = 44 - u. Solve -5*h = -3*n - 9, n - c*h + 4 = -9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 + 886*s**2 + 16113*s + 415. Calculate h(-424).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/5 + 246208*i\/5 - 6654906 = 0. What is i?\nAnswer: -123239, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005087712 to 6 decimal places.\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2069.2722599093 + 0.1.\nAnswer: 2069.3722599093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + 0.8. Let i = -14873 - -74364\/5. Which is the closest to f? (a) 2 (b) -1\/8 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*h - 79*h + 44*m - 38*m + 28, -h - m = -0*m + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2038065086?\nAnswer: 2, 4391, 232073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-14) + 40\/7. Suppose -4*j + 2*m = -38, -j - 5*m + 27 = 1. Let u(c) = 6 - 4*c**2 + 29*c**2 - 15*c**2 + 3*c - j*c**2. Determine u(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooooooooooooog. Give prob of picking 3 o.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1058 is divided by 79.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -5*i + 468. Suppose 2*x - 69 = -5*k, i = -3*k + 5*k + 5*x. Let w(l) = l**2 + 6*l - 28. List the prime factors of w(k).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 826 and 316948?\nAnswer: 2218636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**2 + 1965*c - 1935900 = 0.\nAnswer: -1195, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b = -9. What is the third smallest value in 0.08, -0.1, b?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 127569.77 to the nearest 1000.\nAnswer: 128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w - 4. Let f be r(3). Suppose 4*h = f*t - 5, 2*t - 4 + 2 = 4*h. Which is greater: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 2*u**2 + 2. Let w be m(2). Solve -w*x + 5*y + 4 = -2, 0 = 3*x + y - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/30 and -76\/5910801?\nAnswer: 59108010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oododdddddddoddddod. What is prob of sequence oooo?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.77 - -0.531. Let f = -21.639 - s. Round f to zero decimal places.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -192\nAnswer: 1\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6456*f**3*u*y - 2*f**2*u*y + f**2*u - 610*f*u + 2*f + 2*y wrt f.\nAnswer: 38736*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 46*d + 22*d + 27*d.\nAnswer: 3*d + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -762 - -766. Put -1, w, -26, -4 in ascending order.\nAnswer: -26, -4, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 174748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2833641 = 68*x + 866605. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -104, -108, -114, -122, -132?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2806 = 2*j, -5*p = 2*j - 0*p - 2814. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-10) + 2853\/15. Suppose 0 = -3*w - r - 45 + 193, 5*r - a = -4*w. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64711\/10152 - -1\/1269. Let x = p + -243\/40. Find the common denominator of x and -51\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -106*i**3 + i**2 + 10*i. Let w(d) = -107*d**3 + 2*d**2 + 9*d. Let f(m) = 4*n(m) - 5*w(m). Let p be f(-5). What is p rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 + 426642.5\nAnswer: 426642.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74466*a + 11147 - 11147.\nAnswer: -74466*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1245 - -1262. Solve 48 - 133 = y*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 5, 3, -5, -196 in ascending order.\nAnswer: -196, -5, 1\/2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4 + 6*a**2 + 2 + 3 + 20*a + 6*a**4 + 24*a**2 + 20*a**3 = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 41. Let j(m) = -m**3 + m**2 + 4678. Let x be j(f). Find the second derivative of -3*k - x*k**2 + 6*k**3 + 4678*k**2 wrt k.\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 711438514 to the nearest integer?\nAnswer: 26673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiittiiiitiii.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 51. Let 9*v + 8*v**3 + 20*v**m - 1 - 11*v - 16*v**2 = 0. Calculate v.\nAnswer: -1\/2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2356 and 3715909014.\nAnswer: 3715911370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(99)).\nAnswer: 6 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 - p**4 - 2*p**4 + 10*p**2 - 2*p**4 - 10*p**2 + (p**2 - p**2 - 2*p**2)*(2*p**2 + 0*p**2 - p**2).\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6)*-1*-4. Suppose 4*m = g*m + 8. Solve -m = 2*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3132940 and 279590?\nAnswer: 228704620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**4 + 6*x**4 + 2*x - 3*x**3 + x**4 - 3*x**2 - 5*x**4 to v*x + g*x**3 + o*x**2 + f*x**4 + l and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 36036?\nAnswer: 36036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60188 is divided by 11603?\nAnswer: 2173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*v**2 + 23261*v\/2 + 479661\/2.\nAnswer: (v + 21)*(20*v + 22841)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 69 = -25*h + 469 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 3:43 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 89 = 7. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8128 - 3703 - 3969 + (1 + 1 - 3)*(-3 - 1 + 3))*(4*b**5 - 4*b**5 - b**5).\nAnswer: -457*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91261.48 grams to tonnes.\nAnswer: 0.09126148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -170507 or -170456?\nAnswer: -170456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 19 = -4*g, 57*g - 4*y = 59*g + 22 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**5\/5 + 256*q**4\/5 + 252*q**3\/5 = 0.\nAnswer: -63, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/9)*o)\/(o**(1\/4)*o*o*o)*(o**(-1)*o)**(30\/7))\/(o**3\/(o*o*o*o**(2\/9)*o*o*o)*(o**0*o)**23) assuming o is positive.\nAnswer: o**(-85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 10 + -46 + 48?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 + 36. Let k = 7 - b. Let o = k + -47. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 15473.9\nAnswer: -15473.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 greater than or equal to 136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 907, -0.5, -0.1 in ascending order.\nAnswer: -0.5, -0.1, 907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 0. Put -5, d, -4, -3 in descending order.\nAnswer: d, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378810874?\nAnswer: 2, 13, 23, 633463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -41351 (base 6) in base 3?\nAnswer: -21121011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 118970766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, q: 1, c: 3, o: 1, a: 1, z: 2}. Give prob of picking 1 z and 1 c.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -302112511 (base 6) in base 13?\nAnswer: -10b0520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 644*a**3 + 665*a**3 + 7*a**2 - 1283*a**3 in the form z*a + i*a**2 + m + w*a**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/52*((-15)\/270)\/((-219)\/(-292)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**3 - 7*s - 1. Let x(h) be the first derivative of h**4\/4 + h**2 - 3. What is -7*x(t) - 2*y(t)?\nAnswer: -t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**5\/(l\/l**(1\/22)*l))**46)**(-1\/17) assuming l is positive.\nAnswer: l**(-1541\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2150, -2151, -2152, -2153, -2154?\nAnswer: -2155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-1)\/l)*l*l*l**(-1\/17))\/(l**(2\/9)*(l\/(l**(4\/3)*l)*l)\/l*l*l) assuming l is positive.\nAnswer: l**(467\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6995 by -1399.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrnnnnrnnnrrnnrrnrn. Give prob of picking 1 r and 2 n.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -609, 46, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -25 (b) 5 (c) 20\/17 (d) 1\/8 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 38*b**3. Determine h(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2\/89, -0.3, -2\/37, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 10 = -5*m - 12, 17 = -5*l - m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3228262441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 42 = -9*g. Suppose 0 = 5*a - g - 6, -t + 3*a = -5. Calculate the remainder when 30 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62640421 (base 7) to base 5.\nAnswer: -2323142323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305395, 610790, 916185?\nAnswer: 1221580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -296, -334 in ascending order.\nAnswer: -334, -296, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85081 is divided by 230.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 325 + 632415?\nAnswer: 633043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2819 + -2809. What is the greatest common factor of 92 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + x**2 - x + 1. Suppose a + 3 = 4. Let t be l(a). Sort -1, 1, t in ascending order.\nAnswer: -1, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (14 - 10) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1076.6 - -362.4. Let o = 714 + i. Does o = -0.31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2844 + q**2 - 2844 + q**2 + 0*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = q, -5*p - 2 = -5*q + 9*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 5 (b) -5 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9727*d**3 + 72311*d.\nAnswer: -58362*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (155\/(-55) - -3)\/(320\/440)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o**5 + 18*o**3 - 4*o**5 + 7*o**5 - 15*o**4 = 0 for o.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -47*f + 48*f + 180, -o - 5 = 0. Which is smaller: -167 or f?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + l**2 - l - 16. Let h be x(0). Which is greater: h or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 19. Suppose -2*r + 5*r + 2*o = 10, g*r = -3*o + 12. Solve -2*t = r*t + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2034380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342537652 and 3951.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**2\/2 - 79. Suppose -2 = 5*b - h, 2*b + 2*h + h = 6. Let v(q) = 6*q + b*q + q. Determine v(d(o)).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 12 = -2. Suppose -y*s - 252 = -9*s. Suppose 0 = -u + s + 33. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382112 divided by -36?\nAnswer: -38392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.5 * 0.044.\nAnswer: 0.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6 + 4 + 8*u - 4. Let p(t) = t + 1. Let j be (176\/(-24))\/((-2)\/3). Suppose -n + 4*o = j, 3*n - 7*n + 16 = 4*o. Give n*r(a) - 6*p(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 6:57 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 5*w + 0*w**3 + 0*w**4 + 1\/2*w**2 + 3\/20*w**5 + 0. Differentiate t(g) wrt g.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3920 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59784 and 282?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/295?\nAnswer: 2\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2. Suppose -2*x + 59 + 3 = 0. Let a(l) = 22*l**2 - 18 - 13 + x. What is d(a(t))?\nAnswer: 484*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*i + 4854 = 717*i + 198*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 11*d + 12. Is 3 a factor of b(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/8)\/s*s*s**1)\/((s**(-4)*s)\/s*s**(-3))*(s**(-5)*s**0)\/(((s\/s**(2\/3))\/s)\/(s\/(s\/(s\/(s*s**(-4\/5)))))) assuming s is positive.\nAnswer: s**(491\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/((-16)\/(-140)) - (2 - 2). Find the second derivative of n*w**3 + 5*w - 23*w - 16*w wrt w.\nAnswer: 210*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (39\/6)\/(4433\/4092). Let f(y) be the second derivative of 1\/2*y**4 + y + 1\/5*y**5 + 1\/30*y**t + 2\/3*y**3 - 6 + 1\/2*y**2. Factor f(a).\nAnswer: (a + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(4\/3))\/(-92 - -95).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -468122691801 minus 8?\nAnswer: -468122691809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 337*r**3 - 12*r**2 + 13*r. What is the units digit of m(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/((-16)\/1676))\/(5\/(-30)). Let z = g + -648. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 16 = 3*u - 5*x, -5*u + 9 = -x. Let b be 2 + (66 - 0)*u. Let v = b - 28. Is v a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 7*d. Suppose 5*t - 12 = 28. Suppose -2*m - t = 4*n, -m = -2*n - 2*n - 14. Let p(w) = 2*w. Calculate m*s(z) + 7*p(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 25 + 38. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*((-2)\/4)\/1. Is d + 2 + (-3 - -204) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -59*v - 3*v**2 + 2*v**2 + 58*v. Let m(n) = -n**3 - 2*n**2 + 2*n + 2. Let a(x) = -f(x) + m(x). What is a(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24781 is divided by 97.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297320 divided by -5.\nAnswer: -59464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -39*i**2 + 11*i + 12. Determine d(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -28. Solve -2*z + 3*z = -x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002224 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 264\/(-140)*(-30310)\/1299?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (80 + (-56 - 37))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 2 + 2)*(0 + 1 - 3) + 5 - 3 + 0)*(-3*j - 5*j + 4*j + (-2 - 1 + 1)*(2 + 2*j - 2) + 5*j - 2*j - j) to d + i*j and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -69, -136, -231, -360, -529?\nAnswer: -744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 22*n**3 - 1077*n**2 - 69*n + 916. Calculate g(49).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 10. Let p be x(0). Suppose -5*w = -p - 1110. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -208*k**3 + 32*k**2 - 32. Let n(f) = 36*f**3 + 7*f**2 + 9. Let b(t) = 35*t**3 + 4*t**2 + 8. Let g(q) = 4*b(q) - 3*n(q). Give 32*g(j) + 5*y(j).\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from ellnvai.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93006 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 8 = 2*p, 22*c = 19*c - p + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a = -20*a - 2*m - 302, -3*a - 2*m + 310 = 0. Does a = 102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -4\/9 (c) 0.03 (d) -5\/4 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-18))\/(-1)*1. What is the second biggest value in 0.2, j, 3\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45410+19.16\nAnswer: -45390.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-54)*1)\/((-12)\/(-1050)*-25)\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61053, 122103, 183151, 244197?\nAnswer: 305241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147289.9 - -161298.24. Let h = i - 13861. Let t = h - 148. What is t rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/8 (b) -24 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + v - 33 + 31, -3*v = -5*c - 6. Let o be (-40)\/6 + (-40)\/(-5). Factor -2\/3*k**5 - o*k**4 + c*k**3 + 0*k + 0 + 0*k**2.\nAnswer: -2*k**4*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25739*p**4 + 25738*p**4 + 1 + 7*p - 2*p**3 - 2 to the form i*p**4 + j*p + w*p**3 + a + q*p**2 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-40) - (-3)\/15. Suppose -10 = -k - 2*o + 2, -4*k - 2*o + 18 = a. Solve -5*c + 23 = -k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 840 divided by 21\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -173 and -2475.\nAnswer: 428175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 77*t**2 + 13*t + 3. Let b(y) = 4. Let s(x) = 3*b(x) - o(x). Find the second derivative of s(w) wrt w.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31\/4 or -22?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 + 644*d**2 - 51*d**2 - 176573 - 2*d + 2*d**4 + 176571 to the form c*d**3 + r*d**4 + s + m*d**2 + g*d and give m.\nAnswer: 593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**2 - 7*x - 7. Let l be t(5). Suppose 0*h - w = 3*h - l, 0 = -5*h - 4*w + 180. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4787200 rounded to the nearest 10000?\nAnswer: -4790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -126*y + 1928. Let x be o(12). What is the highest common factor of x and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8157 - -29148. What are the prime factors of t?\nAnswer: 3, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 12420?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/9050 and 57\/4075.\nAnswer: 1475150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 67 - 192. Suppose -4*y + 76 = -4*t, 5*t + j = 5. Let x be y\/21 + (-4)\/(-14). Calculate the highest common divisor of 8 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -32.404?\nAnswer: -32.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 36*j**3 - j**2 + 645*j - 1303. What is g(2)?\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -69883 from -0.23145.\nAnswer: 69882.76855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -2711840?\nAnswer: 2711841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6 (b) -3\/4 (c) 3 (d) 1.854\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.3 - -2.94. Let k = -0.43 - d. Round k to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -7*s**4\/24 + 3*s**2 + 17. Let o(n) = 20*n. Calculate c(o(m)).\nAnswer: -140*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 250\/(-100)*(-8)\/(8\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20835, 41319, 61803, 82287, 102771, 123255?\nAnswer: 143739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l = 6. Let d = -1004 + 1005. What is the units digit of 5 + (3 - (l - d))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 2)*(-13*b - 15 + 15) - 3*b - 9*b + 55*b to the form k*b + u and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1358 * 822.\nAnswer: 1116276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, -10, -109, -300, -613?\nAnswer: -1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, 7, 10, 11, 10, 7, 2?\n\"Answer: -w**2 + 8*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3501*s**3*w**4 + s**3*w + 4795*s**3 - 13*s*w - 53*w**4 - 2 wrt w.\nAnswer: -42012*s**3*w**2 - 636*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-175))\/((-72)\/270).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + a = 0, 2724*a - 2726*a = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1794 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 309*x**2 + 3397*x - 20. Give q(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfwwwwwwwffw. Give prob of picking 1 w and 3 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2, 0.1, 0.3, 147 in increasing order.\nAnswer: -0.5, 0.1, 0.3, 2, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(8) - 1*sqrt(968)))**2 + (-6*-6*(sqrt(15)\/sqrt(3) + sqrt(5)))**2 - (2*(-1 + sqrt(80)) + 5*-2*sqrt(80))**2.\nAnswer: -128*sqrt(5) + 415921\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/(-16)*((-48)\/(-9))\/(-1). Let d = 101 + l. Does 31 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/(12\/(-1512)). Suppose 0 = -6*n + 7*n + b. What is the remainder when (-8292)\/n + (-4)\/(-14) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -802 - 0.2?\nAnswer: -802.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((21\/35)\/((-6)\/(-5))). Suppose -5*n + 38 = d*o, 4*n - 5 - 3 = 4*o. What is the smallest common multiple of n and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*g - 15, 5*u + 30 = 6*g - g. Solve 3*l - g = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 31836.\nAnswer: 350196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-16)*(19 + 1). Solve -2*w = 5*b + 1, -2*b - 9 = -3*b - p*w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5078*r**2 + 4*r + 5. Let j(v) = -2*v**2 - 3*v - 6. Give -j(s) - y(s).\nAnswer: 5080*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-72) - (0 + 15\/36). Put 2\/9, x, 20\/11 in decreasing order.\nAnswer: 20\/11, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + (7 - 8) + (-7 - -8) + -7 + 6.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 11583.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 5*a**2 - 3*a. Let z be -1 + (-12)\/2 + 1. Let w(o) = o**3 + 6*o**2 - 4*o. Calculate z*d(i) + 5*w(i).\nAnswer: -i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6075 and 825?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 576 and 306.\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 + -4.08. Sort -0.4, 4, g in descending order.\nAnswer: 4, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(-38)\/w)))\/w*w\/w**(-14)*w**(21\/4)*w**26*w)**(-3\/2) assuming w is positive.\nAnswer: w**(-87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l + 9. Let p be t(6). Suppose -120 = 83*z - 63*z. Is 15 a factor of z\/p - (-1153)\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -670, -1145, -1620?\nAnswer: -2095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s\/s**(4\/5))\/s*s**5*(s\/(s\/((s*s**(-2)\/s)\/s)))\/(s\/((s**(5\/2)\/s)\/s))*(s**0)**(13\/2)*((s*s**1\/s*s*s)\/s)\/s*s**(-2\/7)\/s assuming s is positive.\nAnswer: s**(99\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*g**2 - g**2 - 2*g**2)*(2 - 3 + 3) + 2*g**2 - 1 + 1 + 3*g**2 - 30*g**2 - 3*g**2 + (5*g**2 - 3*g**2 - 4*g**2)*(4 - 2 + 0))*(-4 - g**2 + 4).\nAnswer: 30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r - 6. Let s = -68 + 74. List the prime factors of g(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than or equal to -1051591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99.2 - 29.3. Let y = g - -129. Which is the biggest value? (a) -0.5 (b) y (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 350 = -5*o, 2*v = 2*o - 7*o + 340. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*x = -2*b + 16, 0 = -x - 2. What is the tens digit of b*((-25)\/4 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*(-16)\/(-480))\/((-24)\/(-2)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 9:57 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 154712398?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28.5 + 9.5. Let u = -30.8 + x. What is u rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6746522g in milligrams?\nAnswer: 674.6522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.13 + -0.13. Let n = -4 - q. Let z = 8.1 + n. Which is the closest to 1\/3? (a) 3 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57251.22 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 79*d**3 + 4 - 81*d**3 + 2*d - d**2 to z + q*d**3 + v*d + g*d**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -42. Suppose -2\/3 + 20\/3*i - 50\/3*i**r = 0. What is i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 98.\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, l: 3, p: 2, h: 2}. What is prob of picking 2 h and 1 p?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7190411\/28469694 - 2\/146751. Find the common denominator of m and -70\/3.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -691*g**5 + 1177*g**5 - 575*g**5 + 128*g**2 wrt g?\nAnswer: -5340*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 5\/6, 5, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1450635, 1450613, 1450577, 1450527, 1450463, 1450385?\nAnswer: 1450293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 51 + (0 + -3)*1. Suppose 0 = 3*y + 2*y - 30. What is the highest common factor of q and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.6183 rounded to one decimal place?\nAnswer: 13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**4*j*j**6*(j\/(j\/((j**(-1)*j)\/j)*j))**10 assuming j is positive.\nAnswer: j**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/481 bigger than 9467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32400\/192)\/(-225))\/(-30)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 157 + -76. Let d be 9\/24 - (-559584)\/(-256)*1\/(-3). What is the highest common divisor of a and d?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -1230 + 288. Let t be 18\/(-6)*k\/(-6). Is t - (-2 + 0 + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 10*z + 120. Suppose -3*f - 6 - 5 = -i, -z = -2*i + 4*f. Let v(p) = 15*p - 8. Calculate the remainder when v(6) is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (13 - 2)) + (-173 - -199)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(5\/3)*v*v*v))\/v**(-19))**(-34) assuming v is positive.\nAnswer: v**(-1462\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 + 2*u**2 + u - 3. Let o(d) = -3*d**3 + 3*d**2 + 2*d - 4. Let h(v) = -7*f(v) + 5*o(v). Determine h(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83709859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5, -322, 0.4, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2251514 (base 6) to base 16.\nAnswer: -1c426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 2*c**2 - 10*c - 6. Let v be y(-4). Let x be 22 - v*(1 - 0). Suppose -n - x + 28 = 0. Solve 2*w = -0 + n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904 is divided by 195?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 166 = 5*s. Suppose s - 206 = -3*u. Calculate the remainder when u is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 6 + 426*m + 1 + 140*m.\nAnswer: 566*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5488*p**2. Let g(a) = -339*a. Determine b(g(o)).\nAnswer: 630686448*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -123850937*y + 144624454?\nAnswer: -123850937","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 158*i**2 + 5*i + 15. Let t(r) = -79*r**2 - 3*r - 8. Give -3*s(z) - 5*t(z).\nAnswer: -79*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8450947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 4. Let l be m(0). Suppose 5*p + 4*r = 2*p - l, -8 = 3*p + 5*r. Calculate the least common multiple of p and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12768, -102304, -345382, -818772, -1599244, -2763568?\n\"Answer: -12795*u**3 - u**2 + 32*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/7 - 12*i**2 - 130*i\/7 + 1200\/7.\nAnswer: -2*(i - 3)*(i + 5)*(i + 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7618 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - -4. Let n = 36 - g. Suppose 5*p - n = 7. Calculate the highest common divisor of p and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - 4*y**3 - y**3 + (-15 - 5*y**2 + 15)*(6*y - 3*y + y) + (-5 + 3 + 0)*(2*y**3 + 4*y**3 - 5*y**3) - 11*y + 11*y - 2*y**3 + 0*y**3 + 3*y**3 - y**3.\nAnswer: -26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**8\/2800 + 17*v**7\/4200 - v**6\/180 - 19*v**3 - 32. Let h(c) be the third derivative of w(c). Determine m so that h(m) = 0.\nAnswer: 0, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5003, 9352, 13699, 18044, 22387, 26728?\nAnswer: 31067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 5*b**2 - b - 4. Let i be l(5). Let d be (-15)\/(-2)*(-6)\/i. Suppose 189 = t + d*w, -w + 993 = -t + 6*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iziye. Give prob of sequence eeie.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/3 (b) 32 (c) 4 (d) -3\/11 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214250 (base 8) to base 3.\nAnswer: 10122120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, g: 4, y: 6, w: 3, x: 2}. Give prob of sequence wy.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:04 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s + 10 = -75*s + 332 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 37 + 41 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 164\/(-287)*77\/(-2)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 3*u + 4. Let s(i) = i**2 - 9*i + 14. Let h be s(6). Give f(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.0778 (b) 0.3 (c) 0.17 (d) 0.2 (e) -3 (f) 0.513\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-8)\/32*-2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-25))\/(32\/200).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - l + 4309, -5*v + 7673 = -3*l + 2291. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*5\/(-2)*32\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 4*n**2 - n - 10. Let k be t(-5). Let s be k\/(-5) + -60 + 1. Let c = -27 - s. 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: Let v = 9.33 - -0.67. What is the biggest value in -3, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500*j + 5143580 + 6451910 = -195*j. List the prime factors of j.\nAnswer: 2, 19009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 891*t - 146*t = -192*t + 112440 for t.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (546\/(-135) - -4)*(-2)\/116. Let u = -53509\/5220 + n. Is u >= -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -389, -397, -405, -413, -421, -429?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.9 in 307.8, -1\/10, 2\/3, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, c: 7, k: 5}. What is prob of picking 2 o?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-100)\/400*9\/1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 2 - 4590*p**3 + 1558*p**3 + 3*p**2.\nAnswer: -3032*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 1, -5 in ascending order.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 17 = -4*h + 2*o, 11 = -3*h - o. Let s(q) = -q. Let w be s(h). Suppose -39 = -w*b + 4*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 7*j - 10. Let f be y(-8). Let t be -30*-2*f\/(-4). Suppose 14 + t = 4*n. Solve 4*v + 1 + n = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**2 + 25*v + 1. Let d be a(11). What is the common denominator of d - 52\/128*18 and 79\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s + 7. Let w(y) = -1377*y + 4130*y - 1380*y + 4 - 1369*y. Determine -3*v(b) + 5*w(b).\nAnswer: -4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1419*y - 1415*y - 161 + 41 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3408071, -3408068, -3408063, -3408056, -3408047, -3408036?\nAnswer: -3408023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001001000110111 + 110110?\nAnswer: -11001001000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ataqmqaqatmmtmtaatt. What is prob of sequence att?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (560\/(-50))\/(1\/(-5)). Is 0 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116417*x**3 - x**2 + 72125*x?\nAnswer: -698502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -254038, -2032876, -6861156, -16263598, -31764922, -54889848, -87163096?\nAnswer: -130109386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-40)*(-4 + (-207)\/(-18))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 117 + -74. What is the second derivative of -v**3 - 136*v - l - 131*v + 269*v - v**2 wrt v?\nAnswer: -6*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1245 + 1245.1. Which is smaller: -6\/121 or n?\nAnswer: -6\/121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**2 + 0*m**2 + 0*m**2)*(-2*m + m**2 + 2*m) + (55*m**4 - 55*m**4 - 36*m**4)*(1 - 3 + 1) to u*m**2 + i*m + c*m**3 + f + r*m**4 and give r.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w + 11. Calculate s(9).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 0*w + 2. Suppose 7 = 4*g + 19, 0 = -h - w*g + 440. Suppose 4*b + 42 = h. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/11, 0, 82, -0.11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r + 8 = 0. Let q = 1435 - 1433. Suppose -r*n + 2*i = n - 251, 3*i + 107 = q*n. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24509837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - i - 15. Calculate n(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(0 + (-6)\/9). Suppose p*y = 3 + 1, -392 = -4*c - 4*y. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (126\/(-105))\/(6\/(-15)). Let z(o) be the second derivative of i*o**3 + 0 + 1\/4*o**4 + 27\/2*o**2 - 2*o. Factor z(c).\nAnswer: 3*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14 - -11) + 1*-5. Let z = 4 + p. Which is the nearest to -0.1? (a) 0 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 386377\nAnswer: 4\/386377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6118, -24317, -54622, -97039, -151574, -218233, -297022?\n\"Answer: -k**3 - 6047*k**2 - 51*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*a + 7*a + 36*a + 0*a + 0*a - a + a - 3*a + a + (4*a - 2*a - a)*(-2 - 1 + 1) + 2 - a - 2 + 2 + (-1 - 3 + 5)*(-a + 1 - 1).\nAnswer: 63*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, f: 5, u: 3, j: 1}. Give prob of picking 4 f.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -219*t**2. Let c(r) = -540*r. Give q(c(d)).\nAnswer: -63860400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -22*b**3 - 17*b**2 - 84*b - 456. What is the tens digit of k(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfhflhhfyyyyyrlerry. Give prob of picking 2 f and 2 y.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 15*s**2 - 56*s - 29. Determine z(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p + 1. Let d(c) = -8*c - 1. Let w be 1\/((-4)\/(-3) - 1). Let x(f) = w*o(f) + 2*d(f). Give x(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1278253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 12*v - 4. Let h be y(7). Let c = h - -23. Let z(l) = -l**3 - l**2 - 2*l - 1. Let w be z(-1). Put 4, c, w in decreasing order.\nAnswer: c, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68.53 + -65.53. Let k = -3 + 5. Let m = 0 + k. What is the smallest value in m, r, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785456 is divided by 261817.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -10224223?\nAnswer: -10224213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 16666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221 + -148. Let f = -267 + 391. Let c = f - i. Calculate the highest common factor of c and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 - 182*q\/5 - 184\/5.\nAnswer: 2*(q - 92)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -399, 0.1, -5, 1, 1245, 0.5 in decreasing order.\nAnswer: 1245, 1, 0.5, 0.1, -5, -399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11762 minus 0.5?\nAnswer: 11761.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 17 = -x, 3*n + 81 = 345*x - 350*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 45*i - 42*i + 2, -v + 4 = -i. Let p = -25 + 55. Solve v*w = 4*g + p, -5*w + 1 = 4*g - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 3*k**2 + 2*k**2)*(-7*k - 8*k + 25*k + (1 - 1 - 2)*(6*k - 3*k - k)).\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1704 - 1858 - (-301 - 1).\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5745 - -5748. Let p be (-5)\/(-10) + (-39)\/54. Which is the closest to -2? (a) -1 (b) i (c) -2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*m - 211 + 395 = -58*m - 524 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 12, -3*p - 5*s - 37 = -7*p. Calculate the greatest common factor of 15 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q + 1. Let w(f) = 66*f + 20. Let h(k) = -6*u(k) + w(k). Let g(z) = 3*z. Determine g(h(j)).\nAnswer: 18*j + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -40*j - 3278. Determine q(-81).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*j - 8 = 201*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 69, -2, 0.016844, -4, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*h**4*m + 874*h**4 - 2*h**2 - 31*h + 745*m wrt h.\nAnswer: -120*h**2*m + 10488*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 8:09 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*(-3 + 0 + sqrt(300)).\nAnswer: -60*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 58 - 22. Suppose 0 = 4*l + 4*c - 192, k*l - 10*l - 3*c + 48 = 0. Let d be 19\/76 + 38\/l*-2. Sort 0.1, 0.5, d.\nAnswer: d, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -14*h**3 - h - 5. Let i(f) = -7*f**3 - f - 2. Let r(u) = -5*i(u) + 2*s(u). What is the second derivative of r(m) wrt m?\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 10 = 2*g. Let b be 6\/(-3 + g)*-5. Suppose 3*v - b = -2*v - 5*s, 2*v = -4*s + 10. Calculate the greatest common divisor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -268295777500109 and 0.1.\nAnswer: -268295777500108.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 54948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 39*v - 125. Solve f + 1 = -d, 2*d - 7 = 3*d + v*f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 3*v = 4*o + 26, -8 = -4*o - 4*v. Suppose -o*y - 82 = -3*k, 6*k = 9*k + 5*y - 100. Calculate the remainder when 119 is divided by k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kpgppfpnpflnppplppp. What is prob of sequence kfkg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 18*a - 3. Let g(z) = -35*z + 5. Let u(o) = -3*g(o) - 5*x(o). What is u(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1041 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**7\/10 + 5*h**3\/3 + 25*h**2. What is the derivative of b(d) wrt d?\nAnswer: 84*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 7.5 (b) 4 (c) -154\/61 (d) 0 (e) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 45*j - j**2 + 4*j**2 - 45*j. Suppose 4*c + 38 = 18. Let q(x) = -9*x + 5. Let s(b) = 10*b - 6. Let r(d) = c*s(d) - 6*q(d). Give r(a(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 5*g + 0*g)*(31*g + 26*g**2 - 31*g)*(1 - 1 + g**2).\nAnswer: 52*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-18)*30\/50 + 204\/(-279)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -15*d**2 - 3*d - 8. Let f(m) = 21*m. Give l(f(h)).\nAnswer: -6615*h**2 - 63*h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - z + z + 4*z + 0*z + 2*z - 2*z - 2*z + (0 - 6 + 4)*(-2*z + 3 - 3))*(17*z - 42*z - 89*z)*(5 - 3 + 4) to the form s*z + f + c*z**2 and give c.\nAnswer: -4104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.00678 + 5.00678. Put -0.1315, -4, z in increasing order.\nAnswer: -4, -0.1315, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005569503 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -34*x - 1729. Let t(y) = 57*y + 3458. What is 5*a(s) + 3*t(s)?\nAnswer: s + 1729","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5, 0.4, -3, 46, -10\/3, 1\/70, -4?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-12))\/(3\/12). Let a be (-2)\/1 + 14\/6. What is the nearest to -0.1 in m, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -16*r**3 - 108*r**2 + 156*r - 36. Let x(i) = -49*i**3 - 324*i**2 + 467*i - 108. Suppose -20*g + 18 = -62. Let z(d) = g*x(d) - 14*a(d). Factor z(k).\nAnswer: 4*(k - 1)*(k + 9)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -335, -47, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2 + 6 = -b, h - 19 = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + i = 15. Let q(z) = 17*z. Let b be q(-3). What is the units digit of 6\/i + b\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62 - -74) + (-7 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22318064687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 0 + 9*y**2 + 0*y + 0*y**4 + 0*y**6 - 2*y**3 + 0*y**5 - 1\/35*y**7. What is the derivative of g(d) wrt d?\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*j - 5*j + 62*j - j**3 + 12*j**2.\nAnswer: -j**3 + 12*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8775)\/(-650)*(-14)\/189?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**3 - 435268*m**2 - 64943144*m - 64507872 = 0.\nAnswer: -148, -1, 108966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 9) in base 2?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -307 and 0.3.\nAnswer: -306.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, t: 3}. Give prob of sequence xtx.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -11*i + 10*i - 88 + 5*i. Let a be m(22). Solve 6*h - 5*k - 20 = h, 3*h - 4*k - 14 = a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 28\/23, 0, -4, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120817819 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 2*(3 + -2). Let c(g) be the first derivative of 0*g**x + 0*g**3 + 2 - g + 1\/2*g**4. Differentiate c(f) wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - -13 - (0 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3656*x - 2073. Is 17 a factor of h(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -11*t**5\/20 - 5*t**4\/24 + 1415*t**3\/3 - 7*t**2 + 5*t - 1. What is the first derivative of r(b) wrt b?\nAnswer: -66*b - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -1 - (-55 - -50)) + 8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/25610 and -25\/28171?\nAnswer: 281710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3255786.0082 + -3255440. Let m = h + -0.0082. Let t = m + -347.41. Round t to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45252 - 14?\nAnswer: 45238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3249*c**4*p**2 + 26*c**4 + 9*c**2*p**2 - c**2*p + c**2 + 641*p wrt c?\nAnswer: -77976*c*p**2 + 624*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 725, 3\/5, -2\/7, 1\/4, 1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 5482162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74946.\nAnswer: 2, 3, 12491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p = -32. Let y = -14 - p. Let b(r) = 4*r - 3. Calculate b(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15, -60, -105, -150, -195, -240?\n\"Answer: -45*j + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 328*f**3 + 8*f**2 + 2*f - 11. Is p(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -271 - -254 - (0 - -4) - 11\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7425 (base 14) to base 4\nAnswer: 10320321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 198\/(-72) + (-1 - 6\/(-8)). Let i be 1*a*(-50)\/(-75). Let z be ((-2)\/(-4))\/1 - -1. What is the smallest value in z, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 5:08 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -805662 by -1287.\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 34693 = -5*o, 2*i - 2*o - 582 = 34132. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -132*o + 76. Let p be m(-19). Suppose 2207 = 3*a - p. Suppose -7*b + 300 = -a. What are the prime factors of b?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 15. Let x = 1 - f. Suppose -5 = 5*h - 0. Which is the second smallest value? (a) h (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, -12, -48, -122, -246, -432, -692, -1038?\n\"Answer: -2*f**3 - f**2 + 7*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 48 - 2*v**2 + 38*v - 27*v + 35*v. What are the prime factors of d(21)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35.1 + -9.1. Let y = o + -26.1. Let x = 0 + 1. What is the closest to x in -0.2, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*p - 37*p - 21*p in the form r*p + f and give r.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 5) + (2 - (24 - 13))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**9\/15120 - d**8\/20160 - d**7\/2520 - d**6\/720 - 7*d**5\/12 - 6*d**2. Let t(w) be the third derivative of h(w). Give t(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*x + 15 + 12, 5 = -5*x. Solve -3*t = -0 + d, -4*s - 2 = t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5546.96t in nanograms?\nAnswer: 5546960000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*v**2 + 12 - 14*v + 14*v + 10 wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 5*b**6\/6 - 8*b**2 - 24*b. What is the derivative of s(g) wrt g?\nAnswer: 100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = 0, m = y + 244 + 9. Suppose 5*g - 85 = m. What are the prime factors of g?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - d - 1. Let q(j) = 2*j**2 + 2*j - 9. Let i(o) = -o**2 + 2*o - 3. Let h be i(3). Let g(t) = h*s(t) + 2*q(t). Factor g(x).\nAnswer: -2*(x - 3)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*i - 227 = 240 + 1325 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (148 - (33 - -47))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 x, and 1 s when four letters picked without replacement from mxwsxsxmsssswsxssx?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1\/5))\/v)**47)**(-30) assuming v is positive.\nAnswer: v**(-282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 190, 14, 5, 7, 2 in increasing order.\nAnswer: 2, 5, 7, 14, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*b = -37*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/10 - (-4)\/10. Let l be (2 - (-3 + p)) + -1. Suppose -3*b = 3*v + l, 5*b - 3*v + 0 = 3. Solve b*z = u - z + 3, 5*z = -3*u - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 55, -2, 1, -25 in ascending order.\nAnswer: -25, -3, -2, 1, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.523 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + -0.29. Let t = -0.12 - s. Let a = 0.1399983 - t. Round a to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.608594 kilometers?\nAnswer: 3608594000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -8. Let l be 4 + j + 0 + -2. Solve -4*t = -l + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3585 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 6*d**5\/5 + 2*d**4\/3 + d**2 - 29. Find the second derivative of i(m) wrt m.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-19)\/z**8*z*z\/(z**(4\/3)\/z)*z**(-9) assuming z is positive.\nAnswer: z**(-103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -189, -361, -533, -705?\n\"Answer: -172*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f + 16\/3*f**3 + 0 - 2*f**4 + 2*f**2.\nAnswer: -2*f**2*(f - 3)*(3*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135113 = 135111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*s - 505, -37*s + 33*s - 2563 = -5*o. Round o to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1216) + -3) + 1.\nAnswer: -17 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 9*s**3 - 3*s**2 + 9*s.\nAnswer: 3*s*(s - 3)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 + 28*x + 37. Let i be h(15). Suppose i*z + 14 = 49. Solve 0 = z*m - 5*p - 30 + 5, 3*m + 2*p = -5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*p - 20, -4*p - 3*z - 15 = -0*p. Suppose 5*i + 4*w = 3*i - 160, p = 2*i + w + 145. What is i rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-68))\/(1*(0 - 2)). Are 0 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 18*g + 78. Let h be f(10). What is the common denominator of -113\/686 and 169\/(-52)*(-1)\/h?\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywywkykkydydw. Give prob of picking 1 k and 1 y.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 573 + 557. Suppose 0 = 5*a - 2*u - j, 3*a + 129 = 5*u + 826. Let n = 533 + a. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3853.\nAnswer: 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -572, -856, -1138, -1418?\nAnswer: -1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-2))*t*t*t*t*t\/(t*(t**(-4\/7)*t*t)\/t)*t)**(2\/17)*(t\/(t**1*t))**(5\/3)\/(t**(-1))**(2\/37) assuming t is positive.\nAnswer: t**(-11089\/13209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (4 + -12 - -12) - (24 - 29).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-75.1.\nAnswer: 150.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2639 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 118*c. Let s(m) = -945*m. Determine 33*g(o) + 4*s(o).\nAnswer: 114*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 17*g - 16. Let x = -138 - -120. Let z be c(x). Let q(t) = 4*t**3 + t - 1. Let m be q(1). Solve -d = -m*k - 20, -z*d + 25 = 3*d - 5*k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236415 is divided by 273.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*i, -3*i = 5*b + i + 188. Let h = b - -37. Let o(d) = d**2 - 3 + 3 - 1 + 4*d. What is o(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2187*q**3 - 89665*q**2 + 503092*q - 460 = 0.\nAnswer: -46, 2\/2187, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3 - 6. Let u = 53 - 31. Let k = -12 + u. Solve -k = -4*s - 2*a, -s + m*a - 8*a = -16 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142103.7837 rounded to the nearest 10?\nAnswer: 142100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 7*v - 3*v + 123286662, -3*v + 5*p = 92464979. Let n = 16784938 + v. Let y = 5736730 + n. What is y rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w + 15*w + w**2 + w**2 + 2*w in the form t*w + h*w**2 + y and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sny when three letters picked without replacement from {j: 1, f: 1, s: 3, y: 5, n: 3}?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 214464 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -136, 0.5, 0.07 in ascending order.\nAnswer: -136, 0.07, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 283 - 1\/((-5)\/(1 - -9)). Let f = d - 3137\/11. What is the third biggest value in f, -0.1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/70 and 19\/49.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -56*r + 1249. What is i(22)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5\/5 + 8*b**4\/5 + 192*b**3\/5 - 1792*b**2\/5 + 5632*b\/5 - 6144\/5.\nAnswer: -2*(b - 4)**4*(b + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, p: 10, k: 4}. Give prob of picking 1 k and 1 e.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k. Let t(v) = 2*v. Let g(u) = 10*u. Let a(r) = 3*g(r) - 16*t(r). Give a(i(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -10, -5*s = -8*s - 5*o + 22 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 = -2*p + z, 2*p - 223 = z + 2*z. What are the prime factors of p?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -2*u + 6. Suppose -4*k + 2*r + u = 8, 5*k = -2*r + 23. Differentiate -2*s - s - 5 + k*s with respect to s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-45))\/(1178\/2232*-12)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) 7 (b) -25 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uude when four letters picked without replacement from {e: 1, d: 2, u: 7, y: 7}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111010020 (base 3) in base 4?\nAnswer: 23330202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -2. Is (-2338)\/(-6) - (-12)\/a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -899, -3056, -7263, -14204, -24563?\nAnswer: -39024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - -19) + -3 - 4\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2258337 is divided by 7356.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 451 and 2665?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x - 1. Calculate r(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 43*l**4 - 2*l**3 - 18*l**2 + l - 1. Let r(z) = z**4 + 2*z**3 - z + 1. Let o(d) = -2*j(d) - 2*r(d). Find the third derivative of o(b) wrt b.\nAnswer: -2112*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 2. Let u be i(6). Suppose -6 = -2*h + u. Calculate the greatest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/93)*j)\/((j\/(j\/((j**(-2\/91)*j)\/j)))\/j) assuming j is positive.\nAnswer: j**(25757\/8463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/5 + 6\/(-15). Let w(r) = r**3 - r**2. Let f(k) be the first derivative of 2*k**3\/3 - k**2 - 1. Let z(h) = x*f(h) - 2*w(h). Solve z(l) = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14802694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2 + 9*w. Let r(f) = f + 73. What is r(u(m))?\nAnswer: -4*m**2 + 9*m + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*n + 16 = 0, -2*n + 8 = k + 2*n. Let i be 2800\/182 - 6540\/(-1417). Solve k*m - i = -80 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 50*q**3 + 57*q**2 + 14*q - 9. Let i(w) = 100*w**3 + 112*w**2 + 29*w - 19. Let c(u) = -4*i(u) + 9*y(u). Factor c(g).\nAnswer: 5*(g + 1)*(2*g + 1)*(5*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.96 + -6. Let o = q + 0.04. Suppose 0 = 5*p + 2 + 3. What is the nearest to p in o, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(3) + (sqrt(3) - sqrt(12)) + sqrt(3)))\/(sqrt(160)\/sqrt(8)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 328*c + 49*c**2 - 19 + 50*c**2 - 82*c**3 + 35 - 103*c**2.\nAnswer: -2*(c - 2)*(c + 2)*(41*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {p: 4, y: 2, z: 1, t: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 11 = -4*t. Let n(j) = -3*j - 4. Let v be n(2). What is the tens digit of 6\/t + (-154)\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -865, -868, -859, -832, -781?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 4*j. Let n be y(0). Solve 3*c = -n*c - 2*v - 4, -4*v = -2*c + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 7:14 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -21 - 7)*29 + (0 - -5)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (1 - (0 + 19)) + (4 - 8)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*2 + 2)**2*6.\nAnswer: 288*sqrt(17) + 14712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -270\nAnswer: 31\/270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 6*k - 2)*(-5 + 6 - 7*k**2 + 1) as x*k + p*k**3 + f*k**2 + z and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 2*m**2 - 4. Let g be z(-3). Suppose -g*u = -4*u - 2. Let t = -48 - -68. Calculate the least common multiple of u and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.19 - -0.99. What is the closest to s in 0.2, 5, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + -3 + -14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 222\/2072*((-4)\/(-3) - 0). Solve 5\/7*i**3 - k*i**4 - 9\/7*i**2 + i - 2\/7 = 0 for i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*((4 - (-1)\/(-3)) + -4). Let r(s) = -12*s - 32. Let c(z) = -z - 1. Let u(y) = 56*c(y) - 2*r(y). What is the tens digit of u(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -3\/7, 3\/4, 4\/9, -59\/2, -1\/2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 539.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 + 52 = -19*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*i**2 + 5421*i + 13608 = 0 for i.\nAnswer: -8, -567\/155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 + -15.7. Let l = 4710 + -4724.019. Let c = l - f. Round c to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43043 and 1709.\nAnswer: 73560487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 2*m + 14 = 13*t, 5*m = -5. Let z = 5 + -10. Put z, -1, t in ascending order.\nAnswer: z, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - z**2 - 2*z - 2. Let r be n(-3). Let q = -40 + r. Let y(s) = -s**3 - 18*s**2 + 3. What are the prime factors of y(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-7 - -4) - 4. Let y be h*4\/20*-5. Solve -3*b = -y*s - 3, 2*s - 4*b + 4 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3197785878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, 1\/14, -0.4, -0.3, -8 in ascending order.\nAnswer: -8, -0.4, -0.3, 1\/14, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from nnxnnxnxxnnnnnnnnxn.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*p + 607 - 447 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/21))**(-41) assuming s is positive.\nAnswer: s**(41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20*((98\/4)\/(-7) + 4). Solve -y*o + 6*o = 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190\/13 smaller than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13515, 108563, 366547, 868935, 1697195, 2932795?\nAnswer: 4657203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j, 3*o + 0 = -j - 6. Let i = -28 + 59. Does 19 divide (1 + o)*(-7 - i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:08 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8 + 2. Let o = -0.7907 - -0.590715. Let u = p + o. What is u rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -1 + 2)\/(4\/6). Let d be (a\/12)\/((-1)\/(-6)). Suppose 3*z - 15 = -d*x, x - 1 = 3*z - 0. Let r(l) = l**2 - 11*l + 5. Give r(x).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53267456 and 640?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 0*u - u)*((3 + 3 - 5)*(2 - 1 - 3) + 3 - 1 - 3 + 3 - 3 - 9)*(-3 - 8 + 6*u - 7*u).\nAnswer: -36*u**2 - 396*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*f + 20 = 2*o + 3*f, -4*f = -7980*o + 7975*o + 47 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 + 4 = -26*p - 9. Let a(l) = -20*l - 15. Let h(q) = 7*q + 5. Let b(n) = 6*a(n) + 17*h(n). Let c be b(-5). Solve c = -5*x + p + 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5618.154 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2405838905?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*h - 71*h - 69*h - 8*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7798135 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6469809, -6469811, -6469813?\nAnswer: -6469815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30402.\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42444053 + -4?\nAnswer: -42444101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, i: 1, q: 5, z: 1, u: 3}. Give prob of sequence uq.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9556025 to 2 dps.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -2)*(6 - 1). Let m(i) = -i + 1. Let l(q) = -3*q + 1. What is x*m(t) - 3*l(t)?\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 5. Let g be l(0). Let m(t) = -t**3 + 5*t**2 + 6*t - 12. Let k be m(g). Let i = k + -18. Which is the closest to 1? (a) -3 (b) i (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104650 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-1347041.\nAnswer: -12123369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -102546.3 and -65.\nAnswer: 6665509.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 14*m**2 + 2*m - 8. Let l be n(-14). Let q = l + 46. Suppose 4*j = 3*c + 1 + 3, c = -2*j + 12. What is the remainder when q is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2633 - -2636. Solve l + 3*l = -2*m + 12, -z*l + 15 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1700) + 2 - sqrt(1700))**2 - -4*((sqrt(1700)*-4)**2 + sqrt(1700)))*-6.\nAnswer: -652806 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -4*w - 3*y - 1, -4*y = 4*w + 28 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18e - -1a3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -889, 0 in descending order.\nAnswer: 0, -3, -889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 1624.\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -10*l - 141. What is the thousands digit of 3\/1*(-4820)\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -44*a**3 + 11*a**2. Let r(i) = -9*i**3 + 2*i**2. Let y be -10 - (-19 - (-7 - 4)). Determine y*x(d) + 11*r(d).\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -26, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.3099 to 2 dps.\nAnswer: 33.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*(sqrt(1050) + sqrt(1050)*2)*-4)\/(sqrt(150)*-2 - (sqrt(486) - sqrt(486)*4 - sqrt(486) - sqrt(486) - sqrt(486))).\nAnswer: -90*sqrt(7)\/11 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -978, -974, -960, -930, -878, -798?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 + 0.4. Let i = j - -1. Which is greater: i or -5\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/4 and 59\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117\/(-234))\/(20\/446) + 11?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/8 + 2\/(-1). Suppose o - 20 = -3*q, -g*q + 4*q - 3*o + 5 = 0. Solve 7*b - 3*b = -q*y + 25, 0 = 2*y - 4*b - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 979b1 - 2?\nAnswer: 979ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*137090.1.\nAnswer: 4386883.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -59, 1, -0.09, 5\/4?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-12 - -2) + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -16*c - 4*c**2 - 4 + 29*c - 10*c + c**3. Give o(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-4))\/(3\/10). What is the third derivative of -3*x**5 + 3*x**5 - 4*x**2 - 4*x**t + 6*x**5 wrt x?\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 14*h - 62. Let m be t(5). Determine v so that -19*v**2 - 20*v - m*v**4 + 20*v**3 - 13*v**2 + 32*v**2 + 8 = 0.\nAnswer: -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142974 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2035.341 months?\nAnswer: 1.6961175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + y**2 - y + 486. Calculate the remainder when s(0) is divided by (41 - 2) + 1792\/(-448).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 427 and 1632841.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -5*u - 503. Let d = u + 629\/8. Let s = 149 + -1339\/9. Which is the nearest to s? (a) -3 (b) d (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8025383 is divided by 1791.\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*1.0288.\nAnswer: -0.061728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70295196 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 - 3*t**2 + 4*t + 8. What is the tens digit of n(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.21 times 5187\nAnswer: -6276.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146817 is divided by 11268?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 987\/1316*(-3)\/(270\/4)*4\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 11 - 5. Let f(q) = -3*q - 46. What is the remainder when a is divided by f(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3064 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 2*a - 180. Let w(p) = -2*p**2 - 7*p - 5. Let c be w(-5). Let b = a + c. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/2 - 0\/5. Let a be (-6)\/(-2)*(-20)\/3. Let u = r + a. Sort -5, 11, u in descending order.\nAnswer: 11, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 3:10 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 363616.2 millennia in centuries?\nAnswer: 3636162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o + 7. Let y(x) = -x. Let g(a) = n(a) + 4*y(a). Let i be 4\/(-10) - (-17)\/5. What is the smallest common multiple of 1 and g(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0938 - 19.5838. Round o to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -290 + 289.98. Let b = 0.221 + -5.221. What is the smallest value in -8, b, y?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 6*y + 4. Let r be j(-8). Let o(d) = d**2 + 7*d - 17. Let v be o(r). Suppose -12 - v = -u. Calculate the greatest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9*v. Let i(t) = -13*t + 0*t + 7*t + 0*t + t. Give 7*i(x) - 4*w(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 8*b**2 - 4*b - 21. Let v be d(7). Sort 2, -7, -1, v.\nAnswer: -7, -1, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 7*w + 42. Let q = -26 - -28. Solve 4*g - 28 = 4*f, -3*g = -q*f - 6*g + w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93 + 93.0000087. What is r rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 9*o + 2. Determine l(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000947803 to six dps.\nAnswer: 0.000948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*(5 + sqrt(242)) + 1 + 0)**2.\nAnswer: 132*sqrt(2) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 620739*a**3 - 9086*a**2 - 4543*a - 9086. Let p(j) = -820*j**3 + 12*j**2 + 6*j + 12. Give 6*i(y) + 4543*p(y).\nAnswer: -826*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8581?\nAnswer: 8581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1460 and 33088710?\nAnswer: 66177420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*b**2 - 54*b**2 + 11*b**2)*(5*b - 2*b - 2*b) as x + z*b**2 + w*b**3 + r*b and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -3\/2, -5, -3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 10*p + 7. Let t be m(-9). Let c be (4\/8)\/(t\/(-44)). Solve 5*a - 5*k + 4 = -21, 0 = -3*a - k - c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 6*n + 43680. Let v be q(0). Suppose -32*f + v = -2*f. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*u**2 + 11*u**2 + 2*u - 7*u.\nAnswer: 61*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 70*k**2 + 64*k + 128. What is z(34)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2668 divided by -58.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55808?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 28 - (-3 + -29) - 9\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from vllovllloddollllollo?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {l: 1, e: 2, b: 4, d: 1, a: 5, n: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6039?\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2645, -8406, -14167, -19928, -25689?\nAnswer: -31450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2. Let l(i) = -i + 1. Let g(v) = -34*v**2 - v + 1. Let u(j) = g(j) - l(j). What is u(x(f))?\nAnswer: -34*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpvvpvvvvpvvvvvvvvvp. Give prob of picking 3 p and 1 v.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6812*w**2 + 4892*w + 318. Let v(j) = -j**2 - j + 106. Let z(l) = p(l) - 3*v(l). Find the second derivative of z(h) wrt h.\nAnswer: -13618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*g = -31, 0*c - 4*c + 3*g - 109 = 0. Let r = c + 32. Let w(z) = z - 9. Calculate w(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/20 and -47\/314?\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*k - 222 = 0, 0 = -2*l - 67*k + 62*k + 459. Solve -87*m = -938 + l for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4448.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 1. Suppose c + 3*c + 2*y = -56, 5*y - 25 = c. Let h = -10 - c. Let d(s) = 4*s - 2*s - 4 + h + 0*s. Calculate -3*d(z) - 4*q(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**3 - 66*z**2 + 9*z - 20. Let n(i) = 3*i**3 - 32*i**2 + 4*i - 9. What is 4*f(d) - 9*n(d)?\nAnswer: -3*d**3 + 24*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 3) + 0 - (-8 + 4 - 2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3553 - 976018?\nAnswer: -979571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**8\/480 + 2*b**7\/945 + b**6\/270 + b**4\/24 + b**2. Let u(v) be the second derivative of o(v). Solve u(q) = 0 for q.\nAnswer: -2\/7, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxx. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121286?\nAnswer: 2, 11, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14227 + -14172. What is the greatest common divisor of 2123 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -306060.913579\nAnswer: -306051.913579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.332*2460\nAnswer: 816.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 8*i**2 - 6*i + 13. Calculate s(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-25) - 26\/10. Are y and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -503009*g - 503017. Calculate x(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u - 7*u - 10. Solve -h = -0*h - u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 3 - 4*d)*(d**2 + 2*d**2 + 3*d**2)*(-6 + 4 + 0).\nAnswer: 48*d**3 + 36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 divided by -34296?\nAnswer: 49\/17148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(4 + (-33)\/12). Let q = 11 + h. Suppose -11*g + q = -10*g. What is the highest common factor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x = 11*x + 56. Solve -3*o = -x*y + o - 8, -y - 2 = -2*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09482 - -0.1066. Round q to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1498315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143 - 83*x**4 + x**3 + 4*x - 48 + 14*x**3 + 85*x**4 wrt x.\nAnswer: 24*x**2 + 90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18879 by -7.\nAnswer: -2697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 74 = -6. Let m = z - 4. Suppose f - 2 = -5*i + 5, m*f - i = 70. What is the greatest common divisor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2593 and 4940.\nAnswer: -12809420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/18 - (-2)\/(-3). Let f(z) = -z**3 + 3*z + 6. Let k be f(y). Suppose -k*x - 114 = -8*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 + -122. Let o = y + 27. Calculate the highest common divisor of o and 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06241 + 0.06242467. Round w to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2 + 21\/2*p + 53\/4*p**2 - 7\/4*p**4 + 3*p**3 = 0.\nAnswer: -1, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 10:23 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -463, -468, -485, -520, -579?\n\"Answer: -n**3 + 2*n - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -7) + -19 + 14 + 6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = 5*s, s = 5*p - 522. Let g(t) = 395*t**2. Let z be g(1). Let v = z - p. What is v rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + -10509*(-6)\/18*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 27 = -8*c. Differentiate -5 + 6*d**2 - 3 - c*d**2 - 1 wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + 100210?\nAnswer: 100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 8 - 28 - (-3 + 2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 - 4*r**2 + 2*r**2)*(0 + 0 + 2)*(-1 - 2 + 5)*(-55*r + 150*r + 10*r)*(0*r + 3*r - r) as y*r**3 + u*r**2 + g + m*r + c*r**4 and give c.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13771505.\nAnswer: 5, 11, 337, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -121. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -13. Let f = -10 + k. Suppose 0 = 11*w + 21 - 76. Which is the third smallest value? (a) w (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -1 - -1) + 215. Let d be y\/(-2)*(-26)\/(-3). Let a = d + -327. Round a to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-19)*o*o**(-34) assuming o is positive.\nAnswer: o**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -31*a**3 - 5*a + 23. Let d(y) = y**3 + y. Let p(u) = 5*d(u) + m(u). What is the first derivative of p(b) wrt b?\nAnswer: -78*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12760821.\nAnswer: 3, 257, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**2 - 62148290*a - 193120497496205 = 0 for a.\nAnswer: -6214829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 122 = 151. Suppose 59 = -5*s - z. Let p = -25 - s. Solve 0*l + p = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-3 + 4)\/1). Put -2, 2, r in descending order.\nAnswer: 2, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -80011 greater than -80337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**4 - 75*r**3 + 8598*r**2 - 14784*r - 200736 = 0.\nAnswer: -68, -4, 6, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116610 by -23322.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77451454?\nAnswer: 2, 31, 1249217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 170673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 21*j - 27. Suppose -5*f - 11 = -2*o, 218 - 206 = -o - f. What is n(o)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, y: 5}. Give prob of sequence pypp.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139979, -139966, -139929, -139856, -139735?\nAnswer: -139554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0759 plus 18?\nAnswer: 18.0759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36294 (base 12) in base 4?\nAnswer: 101310100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjsjss. Give prob of sequence sss.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(76) + -2*sqrt(76))**2 + ((sqrt(76) - 1*sqrt(76))*-6 + sqrt(76))**2)*-6 + -5.\nAnswer: -923 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 384570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/8 - 2\/(-8). Suppose q*g = 3*g. Let v(k) = g*k - 3*k + 4*k. Let y(r) = -4*r**2. Determine v(y(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 9:34 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11365385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(9\/(-11)) + 1. Let r be (399\/(-35))\/3 - (-4)\/5. What is the biggest value in x, -1, 11, r?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 - 40 = -4*f. Suppose -80 = -4*d - f. Determine s so that -36*s**2 + 96*s**3 - 64*s**4 + 37*s - 19*s - d*s = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 3077*l**2 - 15367*l - 19. Calculate b(5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70*(-45)\/(-2100))\/(0 - -1 - -110)?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1.02. Let c = -1020.28 - -1020. Let g = c + d. Sort g, 15, -2, 5 in descending order.\nAnswer: 15, 5, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -553, -595, -717, -961, -1369, -1983, -2845?\nAnswer: -3997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12362)\/210 - (435\/(-105) - -3 - 268\/(-210))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -28\/4072263?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -21 + (7 - 8) + 13\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1600\/(-576) + 3)*(-342)\/24\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/490*-10*(-210)\/132.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**2 - t**2 - 2*t**2)*(-2*t - 2 + 2 + (2*t - 2*t + t)*(-1 + 0 + 0) + 6*t + 2*t - 7*t) in the form u*t**2 + q*t + o*t**3 + k and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23156231195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 88, 31, -34, -107, -188, -277, -374?\n\"Answer: -4*n**2 - 45*n + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/13 - 32718*x\/13 - 98136\/13 = 0. Calculate x.\nAnswer: -16356, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 5*i = -44, 95*i + 102*i - 201*i + 48 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*b + 4*b, -2 = 2*b. Let l(v) = 10*v**2 - 4*v - 16*v**o - 6 + 7*v**2 - v. Calculate l(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 36*z**2 + z + 1. Let f be u(-1). Let g = 2 + f. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 102110?\nAnswer: 102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8302663835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/7)\/f)\/(f**7\/f))**(-7\/8)\/((f**(-1)*f)\/f**(-8))**50 assuming f is positive.\nAnswer: f**(-394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1245 - 1306 - 26*n + 63 + 33*n.\nAnswer: 7*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) - -1*3983\/28. Let c = 138 - z. Let t(b) = -4*b - 2. What is t(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/8)\/(3\/6). Let p(i) = -i**2 - 13*i - 32. Let h be p(g). What is the greatest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-88)\/(-288) - 1928\/(-4338)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = 0, 3*o - r + 9 = 4*o. Let m = 18 - o. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -66, -110, -172?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 12. Suppose 0 = n*h + 3*i + 2*i - 35, -4*i - 4 = 0. What is the lowest common multiple of h and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94603, 94591, 94565, 94519, 94447, 94343, 94201?\nAnswer: 94015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1301210 divided by 10\nAnswer: 130121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -52148)\/(-10 - -9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*g**2*y**4 - 2*g**2*y**3 + 3*g**2*y**2 + 6*g**2 + 3*y**4 + 7*y**2 wrt y.\nAnswer: 552*g**2*y - 12*g**2 + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - f + 24 = -19, t + f = 23. Let n = t + 4. Suppose 3*l - 8 = -l. Solve l*x + n = 3*i - x, 4*i = -5*x - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 10*h**2 + 16*h + 2. Let g be v(-8). What is the units digit of (-6)\/12*152\/(g\/(-1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698*m + 3928 + 10745 = 1411 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**3 - 44*h**2 - 3*h + 2. Let s(f) = -4*f**3 + 44*f**2 + 2*f - 2. Calculate -3*s(i) - 2*y(i).\nAnswer: 2*i**3 - 44*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 2:13 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73.6 - -81.6. Which is the closest to -4? (a) 0.1 (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7686 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 + 3*t + 2. Let j(y) be the second derivative of 0*y**2 + 1\/6*y**3 + 2*y + 0. Determine 5*j(s) - x(s).\nAnswer: -2*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 74*c + 483. What are the prime factors of t(-5)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4104, 29, 4, -6, -13, 2, 0 in ascending order.\nAnswer: -13, -6, 0, 2, 4, 29, 4104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3158*x + 3279*x - 6529*x. Let g(j) be the first derivative of 2*j**3\/3 - 14. Calculate o(g(a)).\nAnswer: -184*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2273 times -60\nAnswer: 136380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6460)\/136)\/95)\/((-1)\/(-58)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -738 + 694.36. What is u rounded to zero dps?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1086 to the nearest 10.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u - 68*u**2 + 8*u - 29*u**3 + 83*u**2 in the form s + k*u**3 + j*u**2 + c*u and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u - t, 3*t + 3 = -2*u. Suppose -u*r + 40 = r. What is the remainder when 29 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33258.\nAnswer: 2, 3, 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-13))\/6 + 160\/26. Let w(d) = d + 46. Let s(q) = -q - 17. Let c(h) = -3*s(h) - w(h). Let n(j) = 1. Calculate p*n(k) - c(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1373 + 6485*j**3 + j - 6484*j**3 - 454 + (-j + 0*j + 2*j)*(-j + j - 3*j**2) to the form o + q*j**3 + l*j**2 + x*j and give o.\nAnswer: 919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46788430 by 23394215.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(32)*3).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165)\/(-440) - 51\/8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -5*k**4\/4 - k**2\/2 - 1. Let g be 2\/(4\/(-6)) - (-2)\/1. Let h be j(g). Solve -2*q - 4*r = -h, -r - 2 = -1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.1775869 weeks?\nAnswer: 107404557120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -408 + 410. Which is bigger: p or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0 (b) 4 (c) 10\/13 (d) -2 (e) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 + -24 + -11 - -2) + -15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence innp when four letters picked without replacement from {p: 5, n: 3, i: 1}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 10. Suppose -q*g = -8*g + 12. Solve 0*d + 3*z = 4*d + 35, -40 = g*d - 4*z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7541522.\nAnswer: 2, 3770761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1902 is divided by 316.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + v = 4*v - 178, -3*v = i - 26. Suppose -20426 = i*r - 52*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**(8\/5)*(f**(-1\/4)*f)\/(f\/f**(-1\/12)))\/((f*f\/f**0)**38*(f**(-1))**(1\/38)) assuming f is positive.\nAnswer: f**(-8699\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 20 = -28. Suppose -18*z - 185 = -797. What is the remainder when z is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7*h + 8*h = 311679, 2*h + 415572 = 4*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -254, -1124, -2590, -4658, -7334, -10624, -14534, -19070?\nAnswer: -24238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.95 + -0.05. Let s = 5.2 - 5. Let q = 78.39 - 77.89. Which is the third biggest value? (a) 2\/17 (b) v (c) q (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -635.914 + 78\nAnswer: -557.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11041000 rounded to the nearest one hundred thousand?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97231932?\nAnswer: 2, 3, 7, 241, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76*57.\nAnswer: -4332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -1 - 5 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u + 5*a - 46, -186 = -3*u - 3*a. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64250 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 76585, 76575, 76561, 76543, 76521?\n\"Answer: -2*l**2 - 4*l + 76591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/1410)\/((-176)\/(-1100)*330 - 53)\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*g - 0. Suppose c = -5*d + 10 - 0, 0 = -3*d + 6. Solve g*y = -2*i + 16, -i + c = -3*y + 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10688413 to the nearest integer?\nAnswer: 3269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93431 + 262614. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Let j(x) = -1 + z + 2*x - x. Let a(c) = -4*c + 4. Suppose 58 = 22*k + 124. Give k*a(r) - 14*j(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1857 - -1926. Solve 63 - d = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5835, -23299, -52405, -93153?\n\"Answer: -5821*d**2 - d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 43*m - 151. Let y be h(9). Suppose 2*v = 2*s + 44 - y, -3*s - 2*v + 278 = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93.6 - -110. Let x = 16.069 - a. Let b = 66.769 - x. What is b rounded to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -4. Let r be 9\/s*2\/(-3). Is r >= 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50087 - 231876?\nAnswer: -181789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.41 + 1.40999224. What is c rounded to seven dps?\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 8*a**2 + 5*a + 15. Let j be 158\/8 + (-9)\/12. Let r = j - 27. Let h be o(r). Round h to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 11 = 3*n, -5*v + 15 = -n - 0*n. Let y(u) = -4*u**2 + u + 1. Let z(m) = -5*m**2 + 2*m. Calculate v*z(a) - 3*y(a).\nAnswer: 2*a**2 + a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.18507 - 0.185061596. Round s to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 + 8 = 0. What is the lowest common multiple of 7 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqqqsssqqswqsqqwqqww. What is prob of picking 1 s and 3 w?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114364 (base 14) to base 13.\nAnswer: 177786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 6:58 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1528 divided by -2\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/401778 and 77\/65246.\nAnswer: 7633782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c8 (base 13) to base 6.\nAnswer: 5242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0 - 9 - ((26 - 4) + -18)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6604 = -102*r + 98*r, -8252 = -5*c + 4*r. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1008)\/(-96))\/((-6)\/(-140)*-5).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.094 + 1.494. Let g = 1.5 - s. What is the nearest to -0.2 in g, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y. Let k(h) = 872*h + 19. What is k(a(g))?\nAnswer: 1744*g + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -15, 11, -4 in descending order.\nAnswer: 11, -4, -15, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 10 in descending order.\nAnswer: 10, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91202 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knry when four letters picked without replacement from {r: 1, y: 2, z: 3, n: 4, k: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 5*v, -5*o + 8*v + 4 = 12*v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136267*w + 9477*w + 386*w + 167461*w + 5708*w.\nAnswer: 319299*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9474084*d**4\/5 - 46422999288*d**3\/5 - 56868128881204*d**2\/5 + 14780552080*d - 4802000 = 0. Calculate d.\nAnswer: -2450, 1\/1539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*m - 3*a + 45, -63 = 5*m - 2*a. Let t = 7 - m. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1114206 + -17?\nAnswer: -1114224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1035 - 1033. Solve 4*y + 4 = 2*n, -5*y + n = -3*n + w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**4 - 105*y. Let g(b) = 2*b**2. Calculate h(g(r)).\nAnswer: 48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yusszzuxzxzuzzu. What is prob of sequence uxz?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 3 + -3 + 7 - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*x - 333 - 146 = 45 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - 1201202444?\nAnswer: -1201203023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -15*m - 28. Let g be ((-18)\/27)\/(4\/(-30)) + 2. Suppose -4*d = -z + 35, -d - 3*z = 2*z - g. Does 25 divide k(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + 12 + 31 + -28?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/31))**(-4\/25) assuming v is positive.\nAnswer: v**(8\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from cbbbcbcccbbccbcbbbc?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (210\/45)\/((-6)\/9) + 297. What is the highest common factor of 9628 and s?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-21)\/(-24)*4\/14.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 1896?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 6*v**2 - 8*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o*o**2)\/o)\/o**(-2\/5))\/((o*o*o\/(((o\/o**(-2\/3))\/o)\/o))\/(o\/(o\/(o\/(o*o*o**(-3)*o*o))*o))))**(-36) assuming o is positive.\nAnswer: o**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**2\/4 - 123*c\/4 - 1349\/2 = 0.\nAnswer: -19, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 483 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w - 85. What is g(35)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - ((-4 - 36 - -31) + (-1 - 1)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5392 - -5397. Solve 0*d = -4*c + 2*d + 12, -t*c + d = -21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Let m(d) = d - 19. Let h be m(18). Let s = h + t. Solve 3 = 4*k + 3*a - 7, -18 = -s*k + 5*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115950 = -5*g - o - 115915, 0 = -2*g - 2*o + 38 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -32221?\nAnswer: -32223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k**2 + k + 16. Let l(j) = 12*j**2 - 3*j + 32. Let m(y) = 5*b(y) - 3*l(y). What is m(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmhcmmsmm. What is prob of picking 1 c, 1 s, and 2 m?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -193 and -295?\nAnswer: 56935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-20 - -9) - -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.2 - 5. Let p = m + -0.7. Let d = 1.64 - 1.34. What is the second smallest value in -0.06, d, p?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1220 and 43676.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -711*u**2 + 716*u**2 + 9*u**5 + 0*u**4 + 2*u**4 wrt u.\nAnswer: 540*u**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 + 2*y**2 + 2*y + 2. Let k(p) = -p**3 - p**2 - p + 1. Determine 2*k(a) + s(a).\nAnswer: -4*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**4 + 77052*c**3 + 258502038*c**2 - 9673274127060*c - 47282498046132075 = 0.\nAnswer: -6493, 19335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*t - 5*h = -157*t + 86*t - 56, 3*h - 7*h + 224 = 16*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 587550*u**2 - 34080423*u\/2 - 123544582.\nAnswer: (u - 293804)*(2*u + 29)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p + 6. Let m = 9 - 5. What is the remainder when m is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.4, 118?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 12 = -5*k, -q + 4*q + 3 = -2*k. Solve 2*i = k + 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 3 + 13. Let u be (-4)\/(a*(-5 + 2)). Let w = 31\/2 - 15. Sort w, u, 4 in increasing order.\nAnswer: u, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10166799 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3*sqrt(68) + sqrt(68) - sqrt(68)))\/((sqrt(176)\/sqrt(4))\/sqrt(11)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.957478 * -641\nAnswer: 613.743398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -271 + -20. Let q = v + 290.9754. Round q to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + 4 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 757095 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -87*c + 46*c - 2 + 2*c + (2 - 6 + 3)*(-c - 2*c + c).\nAnswer: -37*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.75 + -2.55. Let v = 6 + y. Let l = 18.1 + -18. Which is the third smallest value? (a) l (b) -1.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*t**2 + 18*t**4 + 95*t**2 - 193*t**2 - t - 5*t**3 - 6*t**4 + 3*t**3 to z + d*t + y*t**2 + m*t**4 + v*t**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 202*f**3*l**3 + 606*f**3*l**2*t - 7*f**2*l**3*t + 4*f**2*t + 12*f + l*t + 10*t wrt f.\nAnswer: 1212*l**3 + 3636*l**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 - -1 - -15 - (3 + -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3411 and 390.\nAnswer: -1330290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Let q(x) = r - 7*x + 1 - 6. List the prime factors of q(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -32 - -2) + -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3502002 and 5543.\nAnswer: 3507545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + (0 + 0 + sqrt(12))**2 - ((sqrt(3) + 0)*-3 - sqrt(6)\/sqrt(2)*-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*(-1219)\/(-12084)*114.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 0.052663714?\nAnswer: 0.052663714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000110110011 (base 2) in base 11?\nAnswer: 14794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2 - 10 + 0 - 27*g + 24*g wrt g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 5 + 5 - (3 + -13 + -5 + 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 0*v + 1\/2*v**2 - 1. Let w(n) = 2*n + 2*n**2 - 2*n. Give p(w(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 17, m: 1}. Give prob of picking 1 m and 1 e.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 168\/(-112) - (-13)\/2. Suppose 24*t - 5*n - 201 = 23*t, h*n = 20. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -3 + 0)*2. Suppose -d*i - 3*x + 4 = -5*x, 6 = 3*i + 5*x. Suppose -6 = -i*z - 4. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 2\/125 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnkknnnnkuununuu. What is prob of picking 1 n and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(17\/(-5678))*(-39)\/2. Calculate the highest common factor of k and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**3\/6 + 2*u**2 + 5. Let j(t) = -2*t**2 - 6. Determine -6*b(a) + j(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1711642 is divided by 994.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 4235?\nAnswer: 4235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.1, 2\/11, -37, 6\/5, 2\/7 in descending order.\nAnswer: 6\/5, 1, 2\/7, 2\/11, -0.1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(684) + -2 + sqrt(684))**2 - (2 + 1*sqrt(76) + sqrt(19)))*-6.\nAnswer: -16500 + 594*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 5*t**2 + 3*t**2)*(3*t - 6*t + t)*(747 + 610 + 448).\nAnswer: -3610*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -601, -1154, -1707, -2260, -2813, -3366?\nAnswer: -3919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0 = 5, -82 = 5*m - 2*d. Let v = 18 + m. Solve -19 = -3*b + 4*a, v*b + 7 = -2*a + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 - 4.2. Let k = -6 - t. Let r = 59\/6 - 61\/6. Which is the closest to 2\/7? (a) k (b) 3\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/4)\/(135\/(-83700)) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-5)*(28\/10 + (-422518)\/7310)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -584 * 0.18\nAnswer: -105.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c + 31764 = -2886. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2430390.\nAnswer: 2, 3, 5, 81013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*n + 3*n**2 + 650*n - 216*n - 214*n + 5317.\nAnswer: 3*n**2 + 5317","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/3 + 2504 - 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4723\/8 <= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2011 (base 3) to base 15\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 259286893949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 18*t - 37. Calculate the remainder when 38 is divided by v(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**4 - 5*h**4 + 3*h**4 - 2*h**4 + h**4 + 3*h**4 + (-1 + 1 + 2*h)*(0*h**3 - 5*h**3 + 3*h**3) - 900*h - 211*h**4 + 900*h)*(0*h + 0*h - h).\nAnswer: 219*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.21444 rounded to 1 decimal place?\nAnswer: 388.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 - 686898 + 2*f**3 + f + 686904 - f**2. Let w(r) = -r**3 - 2*r**2 - r - 5. Give 5*u(y) + 6*w(y).\nAnswer: 4*y**3 + 3*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65106 or 65110?\nAnswer: 65110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84614685.\nAnswer: 3, 5, 421, 13399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-235)\/(-4030) + (-288)\/(-7488).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3169 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 684178.9l to millilitres.\nAnswer: 684178900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -5*y, 76*y = -3*h - 1116 + 219 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*o**5 + 6076*o**3 + 267263*o**2 wrt o.\nAnswer: -1980*o**2 + 36456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0 + 8. Let q(b) = -3*b - 2*b - 1 + u*b. Let y(j) = -2*j**2 - 3*j - 5. Let m(t) = -t**2 + 3. Let z be m(0). What is z*q(l) - y(l)?\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/30 + (-2)\/(-5). Let o be (2 + 18\/(-3))\/1. Let u be o\/1 - (-17)\/4. Is u greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 17*v**2 - 1954*v + 33226. What is b(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329 divided by 7.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**1*z)**(-1\/9)\/(z**0)**(-4\/7) assuming z is positive.\nAnswer: z**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 8a3?\nAnswer: -8a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124 - 123.996. Let d = -5.996 - f. Let r be (-3)\/(-6)*4\/14. Which is the third biggest value? (a) 5 (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -185, -279?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.66 minus 3.7?\nAnswer: -19.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 9*d - 7. Let k be u(10). Suppose -k*j = h - 4*j - 2, -3*j = -4*h + 9. Find the second derivative of 4*s**h - s**3 - s + 0*s - s wrt s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*j = -21, 5*n - 2*j - 27 = 17. Let f(i) = 2*i**2 + 7*i. Let x be f(-6). Calculate the greatest common factor of x and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7718726*y**3 + 6358691.\nAnswer: -23156178*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109*m + 1485*m**2 - 747*m**2 - 736*m**2 to d*m**2 + r + i*m and give i.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -15) + -9 - (-1 + -14). What is the tens digit of (-10)\/(-4) + (-12)\/i*-1286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4.8, 3, 2\/5, 0?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 103 = 24*x - 290 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (15\/5)\/(4\/(-3))*(-1568)\/147\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 7:48 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3055377396 to the nearest integer?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 32 + -6 + 10 + -14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 33*t**3 - 4*t**2 + 13*t - 12. Let r(z) = -z**3 + z - 1. Let s(u) = -c(u) + 3*r(u). Let i be s(4). Let a = 3193 + i. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 20*f + 57. Calculate the remainder when 1469 is divided by l(-7).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + 8.8. Let q = 620 - 203. Let v = -413 + q. Which is the biggest value? (a) 5 (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(11) - (-1 + sqrt(11) + sqrt(11))))**2 + (sqrt(1100) + 1 + sqrt(1100))**2.\nAnswer: 36*sqrt(11) + 4416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/30)\/(8\/40 - 1). Let l(i) be the third derivative of -2*i**2 + 0 + 0*i - w*i**4 - 2\/3*i**3. What is the first derivative of l(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -7. Let j = t - -11. Let p be 125000\/(282\/280 + j). Round p to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27121 is divided by 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 59*f**2 - 372*f + 47. Let b be d(9). Solve q - 744 = -b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 5*x**2 + 50*x + 40.\nAnswer: -5*(x - 4)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1483 and 7418\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -o + 9 - 2*o - 1 + 2 in the form c*o + w and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -194, -393, -592, -791?\n\"Answer: -199*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-8 - 8) + -6 + -1 - 11.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l**3 - 2*l**2 + 9*l + 13. Is k(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 14 = i, 4*i - 2*f + 9214 = -3*f + 9218 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + g**2 + g. Let v(r) = 8*r**3 + 3*r**2 + 3*r + 3. Give -3*m(t) + v(t).\nAnswer: 5*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 12*x**2 - 2*x - 3. Let s be u(4). Let y = s - 177. Put -2, 2, y, 0 in increasing order.\nAnswer: -2, 0, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13531749 by -13531749.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183899*t**2 + 183805*t**2 - 367701*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*q + 66*q - 16 = 0. Let k(o) = 116*o**2 + 290*o. Let g(f) = f**2 + 2*f. Let c(m) = q*k(m) + 290*g(m). Let y(r) = 3*r. Give c(y(v)).\nAnswer: 522*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 410, 619, 820, 1013, 1198, 1375?\nAnswer: 1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8215355 - -5?\nAnswer: 8215360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63033 is divided by 1589.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + (-25 - -12) + (-37 - -75)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -99623.56+-0.0718\nAnswer: -99623.6318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o**2 - 4*o - 3. Let l(w) = -w**2 + w. Let s(j) = 3*l(j) + v(j). Let r(m) = -16*m**2 + 6*m + 16. Determine -4*r(i) - 22*s(i).\nAnswer: -2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 236, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 24*u**2 + 258*u - 136. Calculate l(-32).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-21))\/((-12)\/(-21))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 14 (c) 2705870\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*y**2 - 8*y**3 - 379*y**2.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30799 divided by 23?\nAnswer: -30799\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 146.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -30*m**4 + 31975*m**3 + 37340*m**2 + 5335*m = 0.\nAnswer: -1, -1\/6, 0, 1067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -4*z**5\/5 - 5*z - 6. Differentiate o(n) with respect to n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*k - 240 = 101*k. Let d = -1 - -5. What is the lowest common multiple of k and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1082.1 - -1082. Which is the closest to 0.1? (a) -1\/6 (b) 11 (c) j (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 1, -4\/3, 5, -8, 878\/9 in descending order.\nAnswer: 878\/9, 5, 1, -1, -4\/3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttuuutt. What is prob of picking 2 u?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 12*q**2 + 12*q - 27. Suppose 30 = g + 18. Let i be b(g). Let n = i - -74. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 19446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 6:21 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*1\/(-2)*(-2328)\/(-1358)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4509689?\nAnswer: 1933, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 7*m**2 + 11*m - 6. Let z be k(5). What is the tens digit of -1 + 47 - (z - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 23*d + 6. Let v be s(3). Let r = v - -91. Suppose -73 = -2*l - 4*t + t, 5*l - r = -2*t. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10325456 (base 7) to base 12\nAnswer: 365812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + -0.2. Let u = 3 + -7. Let r = u - -4. Which is the second biggest value? (a) 3\/8 (b) r (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 2*q + 5. Let d(i) = i**2 + i - 4. Let b = 3 - 6. Let m(r) = b*d(r) - 2*a(r). Let p be (6\/(-12))\/(3\/(-12)). What is m(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16907 - 34635\/2. Let w = b - -8131\/20. Calculate the common denominator of 53\/16 and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -350205*g**3 - 185*g + 1480. Let b(h) = -11297*h**3 - 6*h + 48. Give 185*b(k) - 6*m(k).\nAnswer: 11285*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*s**2 - 599*s**3 - 36*s**2 - 42*s**2 + 119*s**3.\nAnswer: -480*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7 + 7075*q - 7075*q - 19*q**2. Let w(k) = 2*k. Determine n(w(c)).\nAnswer: -76*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 13*l + l - 26 + 6*l. Let u(h) = 7*h - 9. What is -6*n(v) + 17*u(v)?\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttti. Give prob of sequence ttit.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*z - 128*z = -208*z + 1736 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.9 - 0.9. Let f = 1.101 + -1.001. Which is the closest to f? (a) -13 (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1228 + -1225. Let i(n) be the third derivative of 0*n**k - 1\/8*n**6 + 0*n**5 - 1\/2*n**4 + 0*n - 14*n**2 + 0. Find the second derivative of i(f) wrt f.\nAnswer: -90*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4556, 4528, 4500, 4472?\n\"Answer: -28*p + 4584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 134?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4135 or -37213\/9?\nAnswer: -4135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 6*n**2 - 4*n + 6. Let q be o(4). Calculate the greatest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 31. Solve -x*p + 4 = -1, 3*r + 11 = 2*p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4493, 3.\nAnswer: -4493, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (11 - (6 + -6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 7. Let r be v(5). Suppose 32 = -5*k + 2*s, -8 = r*k - k - 2*s. Let i be (-14)\/8 - (k + 6). Which is smaller: -4\/7 or i?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3212 + -5?\nAnswer: 3206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/k*k)**(2\/5))**42 assuming k is positive.\nAnswer: k**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 19 = -331. Put -8, 4, z in decreasing order.\nAnswer: 4, -8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + sqrt(60) + (sqrt(240) + (sqrt(240) - (sqrt(240) + sqrt(240)*2)))\/sqrt(4) - sqrt(60))\/(sqrt(24)\/sqrt(2)*3 - sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 991536 - 0.\nAnswer: 991536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 + 1?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.0398 + -0.0398. Which is the nearest to -4? (a) f (b) -2\/17 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*j**3 + 29*j**2 - 29*j**2)*(-5 + 4 - 3)*(1 - 2 - 1 + (-2 + 0 + 0)*(-3 + 2 + 2))*(0*j - j + 2*j).\nAnswer: 224*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 0*t**2 - t + 4*t**2 - 3*t**2. Suppose 0 = 3*k + 15, 4*l + 3*k + 8 = -11. Let d(y) = -4*y + 5*y**2 + 2*y - 2*y. What is l*d(q) + 4*g(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -661*r**4\/24 + 20*r**3\/3 + 296*r**2. What is the derivative of d(x) wrt x?\nAnswer: -661","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/276 and 43\/552.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2589335235 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96 - 0) + (21 - -12) + -24.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733208691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*z - 252*z + 511*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/7)*h*h*h**0*h*h**(-3)\/((h*h\/(h\/((h**(4\/3)*h)\/h)))\/h))\/((h\/h**0)**16*h**(-3\/7)\/h*h**(-2)) assuming h is positive.\nAnswer: h**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 4, 3435, 3 in increasing order.\nAnswer: 1, 2, 3, 4, 3435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385720 is divided by 524.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217315 and 245?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 11:29 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5161 is divided by 595.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 2*a + 42, 8*a = 227866 - 227874 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l - 20. Let z be g(10). Suppose 6*w - 81 - 9 = z. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42934170 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -3\/10, -1076\/381?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0353 in -3.58, -4, -17?\nAnswer: -3.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-14)\/(66\/(-44)*(-4)\/(-2))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30842543?\nAnswer: 30842543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6595, 26370, 59299, 105358, 164523?\nAnswer: 236770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6480458063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 0.4, 171, 0.3, -0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13940342?\nAnswer: 2, 13, 37, 43, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 4:40 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2508294 divided by 16?\nAnswer: -1254147\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - -54. Suppose -4*r = -6*r + q*a + 1300, -a - 2564 = -4*r. Is 32 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7575 and 3939?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12817484005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from illliiwildi. Give prob of sequence il.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 36. Suppose -k = -3*a, 3 + 0 = 4*s - 5*a. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -585103.9 + -22.7?\nAnswer: -585126.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3 - 18 = -a, 0 = -2*f - 4*a + 12. List the prime factors of (822\/f - 0)*76\/(-114).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1182690 and 33.\nAnswer: 13009590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -3 (b) 0.1 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2598*h**3 - 260*h - 583988.\nAnswer: 7794*h**2 - 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z - 2. Let d be j(3). Suppose -d*w + 8 = -5*w. Solve 0 = -w*x - 1 + 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)\/z)**(1\/23)\/(z\/(((z*z\/z**(-4))\/z)\/z*z))**(16\/9))**11 assuming z is positive.\nAnswer: z**(15994\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1925 and 16\/73425?\nAnswer: 513975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 14*j - 12. What is the remainder when 86\/((j - 7)*6\/(-18)) is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 3*m - 3. Let i(l) = 6*l - 3. Let b be i(1). Determine r(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.397 - 14.397. Which is the closest to 0.3? (a) 5 (b) o (c) 6 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -89, 130\/19, -5\/11?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*z + 8, 14 = j + 4*z. Let q(u) be the third derivative of -u**5\/12 - u**4\/12 + u**3\/3 - 3*u**2. What is q(j)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -7, 2\/11559 in ascending order.\nAnswer: -7, -0.1, 2\/11559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4*f**3 - 16\/3*f**4 + 0*f**2 - 2\/3*f + 2*f**5.\nAnswer: 2*f*(f - 1)**3*(3*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, i: 8, m: 1, u: 2, l: 1, e: 3}. What is prob of picking 1 l and 3 e?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17787.2226 take away -1?\nAnswer: -17786.2226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**2 + 8*z. Let y be u(5). Suppose -3*p + 32 = -13. Calculate the highest common divisor of p and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.17 - 0.14. Let g = v - -0.07. Let u = g - -1.9. Put -18, 4, -4\/9, u in ascending order.\nAnswer: -18, -4\/9, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4944*u + 1119. Calculate n(0).\nAnswer: 1119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -162.952 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 6714.01481 to the nearest 10.\nAnswer: 6710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 9. Let o be -2*(-8)\/4 - (64 + -50). Determine k(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 1111120?\nAnswer: 1111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 0 - 3\/14*f**4 - 1\/140*f**5 + 4*f**2 - 11\/14*f**3 + 0*f. Factor t(j).\nAnswer: -3*(j + 1)*(j + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1303 + 310000?\nAnswer: 311303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.15261257 + 2.1527. Round q to 6 dps.\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -155240?\nAnswer: 155243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 42014.\nAnswer: 84028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767067 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1))\/g*g*g)**(-1\/16) assuming g is positive.\nAnswer: g**(-1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjujjjjjujjujjjju. What is prob of picking 1 j and 2 u?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54642078742 - 54642077871.00000487. Let w = l + -871. Round w to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 8. Let l be t(6). Let w = 804 + -789. Let i = w + l. Solve i = 3*k - k - 3*j, -j = 5*k + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 14\/169 (c) -0.3 (d) 4 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.597 + -0.3042. Round x to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 4. Let g be m(-3). Suppose g*u - 100 = -0*u. Let a(p) = p**2 + p - 2. What is the remainder when u is divided by a(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(637) + 2)*3)**2 + -2 + (-6*(-2 + sqrt(1872)))**2.\nAnswer: -1476*sqrt(13) + 73303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 18498462*l - 28516091363787.\nAnswer: -3*(l - 3083077)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**2 + 10*z + 4. Let n be i(-2). Which is the closest to n? (a) 5 (b) 2 (c) -3 (d) -97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(7\/(-3))*1. Let x(h) = 3 + d*h - 3*h - 2*h - h. What is x(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445787 to the power of 1\/2, to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/124900 and 13\/5730?\nAnswer: 71567700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/5)\/u**(-1\/5))**(-45)*(u**0*u**4\/u)\/(u\/((u*u*u**(2\/5)*u*u)\/u)*u*u**(-6)) assuming u is positive.\nAnswer: u**(-173\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*(sqrt(91) - sqrt(91)*1) - (sqrt(91) + -3*sqrt(91)*-1 + sqrt(91))))\/(-1*3*-1*sqrt(14)\/sqrt(2)).\nAnswer: -10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 19 = -3*b + 52, -b = -4*c + 4. Suppose -b*a + 371 = -213. List the prime factors of a.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3 = -4*k - 12, 6 = -5*k + o. Is 3\/296 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 165*l - 296. Is i(6) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*t - 25*t - 612. Is 51 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -2497*i**4\/12 + 477*i**2 - 343*i + 3. Differentiate y(g) wrt g.\nAnswer: -4994*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, -5, -77, -145, -209, -269, -325?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 1 - 8 + z + z. Let t be l(9). What is the units digit of 3\/(t\/12*2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*k**3 - 41*k**3 + 416*k**2 - 41*k**3 + 106*k**3 in the form m*k**3 + i*k**2 + v + h*k and give i.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i, -5*d + 2*i + 5 = -i. Let t be ((-1 + -3)*d)\/(-2). Let a be 2 + -1 + 4\/(-4). Solve 5*s - t*s = a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -492637574 greater than -492637574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i + 82. Suppose -3*l = 4*m - 41, 3*m = -3*l + 47 - 8. Let o be u(l). Solve -4*y + 3*y + v = -5, 0 = o*y - v - 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4 + (-5 + 3 + 1)*(2 + 0 - 1))*(2*f - f + f)*(2 + 0 - 1).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/225*9\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2*i. Let y(g) = -g**3 - g + 4. Determine y(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 28*s + 4 + 23*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**3 - k**2 + 10*k - 8. Let s be w(1). Find z, given that -s - 4\/3*z + 4\/3*z**2 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Which is smaller: -1109 or -12954?\nAnswer: -12954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3764, 7315, 10866?\n\"Answer: 3551*s + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45.1 + -0.9. Let x = -45.8 - v. Let t be (-4)\/6*15\/35. Which is the second smallest value? (a) x (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39682444*h**6 - h**4*k**2 + h**2*k**2 + 36*h**2*k + h**2 - 1184*h + 16*k**2 + 1 wrt h.\nAnswer: 4761893280*h**3 - 24*h*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35433 + -10?\nAnswer: 35423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2077 + -1194. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.866 and -0.517.\nAnswer: -2.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 + (-6 - -35) + -1. Solve -6*t + 2*t = 4*z + 8, 2*z - 4*t = w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2950236 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000009556504 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-1)\/(-14) - 663\/(-1428). What is d in -2*d**2 - 15\/8*d + 1\/8*d**5 + i*d**4 + 9\/4 + 3\/4*d**3 = 0?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/27 (b) 2 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 3325\/15 - (-10)\/(-15) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 167460528 to the nearest 10000.\nAnswer: 167460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45, -55, -67, -81, -97, -115?\n\"Answer: -r**2 - 7*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**3 + 2575*p**2 + 201375*p + 4303125 = 0.\nAnswer: -425, -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + -4)*-6 - ((sqrt(176) - (sqrt(176) + -2)) + 3))**2.\nAnswer: -912*sqrt(11) + 6697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*b = -24, -38 = -3*m + 3*b + 22. Let u = m - 4. Find the common denominator of (-8)\/u - 167\/(-48) and 3\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, z: 3, k: 11}. What is prob of sequence zxzk?\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2634 - -2634.4. Let r = 8 + -3. Suppose 21 = -4*t + r. What is the nearest to 4 in 1\/5, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 876 divide 80154000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 13529361?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -223.736 - -229. What is n rounded to 1 dp?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**4\/5 + 57*a**3\/5 - 598*a**2\/5 - 228*a\/5 + 2408\/5 = 0.\nAnswer: -2, 2, 14, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474735 is divided by 157887.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**0*u)\/(u**(1\/8)*u))\/(u*((u*u**(1\/2))\/u)\/u*u)**10)**(-3) assuming u is positive.\nAnswer: u**(339\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -18)*((-27)\/15 + -2 + -3)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + (21 - 18) - (-188 + 195).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 2\/5 (c) -153 (d) 0 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -9821784761403.\nAnswer: 9821784761403.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 + 165*q + 207. Calculate y(8).\nAnswer: 1335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003144572 rounded to 7 dps?\nAnswer: -0.0000314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8268\/1696 - (2\/16)\/(-1). Solve -2*x = -5*u - 8, -5*u - 3 - 2 = -i*x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 313.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**5\/4 - 16593*w**4\/4 + 16589*w**3\/4 + 49777*w**2\/4 - 8295*w\/2 - 8296 = 0.\nAnswer: -1, 1, 2, 16592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**4\/12 + 5*s**3\/6 - 3*s**2 - s. Let r be (-8 + 11)\/((-6)\/(-10)). Determine z(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -62*l - 18. What is the hundreds digit of r(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8948182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -16. Let n = -6 + u. Solve -i + n = s, -4*s + 7 + 22 = 3*i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 297 - 179. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153853 is divided by 76897.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*t = -c - 405*t - 33, 4*c - 4*t + 2*t = 22 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -314925 divided by 1425?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - x**2 + x**2)*(-2 + 4 - 4) + (-2*x - 2*x + 2*x)*(x - 2*x - x) + 3*x**2 - 3*x**2 + x**2 + 2*x**2 + 0*x + 0*x.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqoluolllollouqllll. What is prob of sequence olou?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/86 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**6\/40 - 7*n**5\/60 + 2*n**3\/3 - 33*n**2 + n - 1. Let i(z) be the first derivative of a(z). Factor i(k).\nAnswer: -(k + 1)*(k + 2)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1216)\/(-320) - 11 - (-1)\/5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p + 11. Let v(y) = -13*y**2 - 5*y - 3. Let k be v(-2). Let q = k - -54. What is the least common multiple of z(0) and q?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/18 and -83\/8558?\nAnswer: 77022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**3 - 13*p**2*z**3 + 36*z**3 wrt p?\nAnswer: -3*p**2 - 26*p*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -501 - -801. Suppose -2*l = 2*l + z. What is the remainder when l*(35\/15 + -3) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r - u = -4, 10 = -5*u. Let j = 17263 - 241581\/14. What is the common denominator of (r - -5) + 57\/(-36) and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38.445 in 0.2, -1\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/833 and -30\/11.\nAnswer: 9163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 25*h**2 + 2*h - 84. Give m(25).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -341*c**2 + 3*c**3 + 1 - 12*c**4 + 336*c**2 + 0 to the form b + r*c**2 + o*c + u*c**4 + z*c**3 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/v**(1\/5))\/v))\/(v*v**1*v)*(v**6\/v)\/(v\/(v*v*v*v\/v**(-4))) assuming v is positive.\nAnswer: v**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 411557?\nAnswer: 411558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/21*(-3)\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-262899)\/916916 + (-3)\/12 + (-684)\/(-1254).\nAnswer: 2\/229","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -703*g**4 - 30495*g**3 - 52187768*g wrt g.\nAnswer: -8436*g**2 - 182970*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34145500 rounded to the nearest 100000?\nAnswer: -34100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1363 and -0.0497933.\nAnswer: 0.00678682679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001126991 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 1. Let p(q) = 2*q + 1. Let m(t) = -p(t) - v(t). Let s(w) be the first derivative of 2 + 4\/3*w**3 + 0*w**2 + 0*w. Calculate s(m(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107483 is divided by 7253.\nAnswer: 5941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-19 + (10 - 11))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/21)\/((-120)\/(-27)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*i + 8, -5 = 5*i + 4*q - 18. Calculate the remainder when 58 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20110020122 + 12?\nAnswer: 20110020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 1 - 1)*(-10*l - 3*l + 2*l) + l**2 + l**2 - 4*l**2 in the form x*l**2 + k + f*l and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 - -146. Let o = h + -83. Suppose 0 = -o*m + 4*b + 204, -3*m - b + 336 = 3*b. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1009 divided by 5\nAnswer: -1009\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbfbbffbbb?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60296 is divided by 7537.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 + ((-550)\/(-20))\/11\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 8. Let c be d(-6). Let s = 2 - c. Solve s = 3*l + l + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/6*(-540)\/(-100). Suppose -2*d + d - n = -5, 4*n - z = -2*d. Suppose -3*b = -13 + d. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 + 434. Calculate the greatest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -154 + 93. Let u = r + 109. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 38, 51, 68, 89?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1110 by -1718.\nAnswer: 555\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*o - 20*o - 18*o + 43*o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*k**4 - 432\/7*k + 0 - 48*k**2 + 99\/7*k**3.\nAnswer: 3*k*(k - 4)*(k + 1)*(k + 36)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 4 (c) -54 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 13 + 4*j**2 - 4*j**2.\nAnswer: j**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8283, -8293, -8321, -8373, -8455?\nAnswer: -8573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h + 6 = 0. Which is the second biggest value? (a) h (b) -6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -488, -486, -482, -476, -468, -458?\n\"Answer: d**2 - d - 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -75, -164, -255, -348, -443, -540?\n\"Answer: -o**2 - 86*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 20 + -12 + -12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211407, -845620, -1902637, -3382458, -5285083, -7610512, -10358745?\nAnswer: -13529782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/576 and 59\/256.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7461 = -q, 6*b - b = -4*q + 7464. List the prime factors of b.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = -f - 89, 2*h = -4*f + 58. Calculate the greatest common divisor of 161 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**2 + 71*q - 37. Let d be w(-15). Sort d, 170, 0 in descending order.\nAnswer: 170, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(12\/2))\/(6\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*h + 432. Is 54 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 2*(-1 + 0). Suppose x*g = 8 - 0. Determine f so that 12*f**2 - 12*f**g - 2*f**3 + 2*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119044 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4)\/w**5*(w*w**0)**(-2\/19)*w**(2\/13)\/(w**(1\/10)\/w)*(w\/w**(-6))\/w*w**(2\/5)\/w assuming w is positive.\nAnswer: w**(-6549\/2470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -4. Let r(d) = -3*d**3 + d**2 - 3*d + 2*d**3 + 3 + 2*d**2. Let z(h) = -h**3 + 5*h**2 - 5*h + 5. Suppose -o = 3*o - 20. Calculate o*r(y) + x*z(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7154?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -42, -73, -104, -135, -166?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26626963477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(10)\/(sqrt(2)*2*6).\nAnswer: -5 + sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*j = -5*y + 20 + 40 + 52, -2*y + 298*j = 296*j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72877594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -22, -1, -4 in decreasing order.\nAnswer: 1\/4, -1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/3*(492\/(-24) + 25). Solve 0*z - a = 3*z + 18, -4*a - h = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.92 + 0.08. Let u = 3.96 - o. Let x = u + 0.13. What is x rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-7) + (-2)\/((-112)\/2024). Suppose -h*n + 27*n + 18 = 0. Solve 0 = i - n*i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13365718.300045 - -13365755. Let p = -36.7 + m. Round p to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1573) + -5)*-3 + 5.\nAnswer: -33*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/1*(-15)\/(-50). Let g be (-6)\/(-21) - (-3)\/(-35). Which is the smallest value? (a) q (b) 0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -248*u - 860. Determine n(5).\nAnswer: -2100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b - 22 = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -58*x. Let z be t(-2). What is the highest common factor of z and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/51740 and -105\/44.\nAnswer: 569140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1963876388 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, b: 1, t: 2}. Give prob of picking 2 t and 1 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/(-20)*(-200)\/(-125).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10*m**2 - 190*m + 474. Let v be y(16). Let q(g) = -3 - g**2 - 6*g + 2*g - 2. Determine q(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/32 + 163\/224. Find a, given that 0*a**2 + z*a**3 + 2\/7 - 2\/7*a**4 - 4\/7*a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -q, -2*q = l - 13 + 4. What is the remainder when 69\/9 + 4\/(-6) is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 931 - 3363 = 0. Calculate the remainder when n is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (3552\/162 + (1526\/189 - 8)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 + 3*v**2 - 7*v**2 + (10*v + 3*v - 10*v)*(2*v - 3*v + 0*v) + 3*v**2 - 3*v + 3*v as b + u*v + r*v**2 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91538062 is divided by 4148.\nAnswer: 4146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**3 - 236840*a**2 + 7226*a + 713?\nAnswer: 24*a - 473680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2132 and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*s + 6 = -23, 0 = 3*s + 12. Let u(v) = v**2 - 13*v - 3. Let a(q) = q + 1. Let r(t) = m*a(t) + u(t). What is the second derivative of r(l) wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10121 - -10750. List the prime factors of i.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 6. Let n be 1\/y*(-18)\/(-2). What are the prime factors of (6 - n\/1)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 5. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, f: 2}. Give prob of sequence fg.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 11*w + 1. Let b(p) = -4*p. Determine l(b(j)).\nAnswer: -44*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 7*i = 99, -420*f + 417*f + 5*i = -55 - 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1693*q - 40257 = 70664 + 66254 - 38349 for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*d - 8*d. Is -1\/9 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1351 + -53044?\nAnswer: -54435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-73*g - 86*g + 166*g + 1)*(54 - 99 - 19) as t + u*g and give t.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 15 - (12\/(-8))\/(21\/28).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1976335 by 5.\nAnswer: -395267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -1131 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010265617 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and 159?\nAnswer: -190.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 3\/4, 1\/22?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3656960450 to the nearest integer?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4792317 or 19?\nAnswer: -4792317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 921, 923, 925, 927, 929, 931?\n\"Answer: 2*h + 919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 5642712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**5\/20 + 7*o**4\/12 + 7*o**3\/6 + o**2 + 4*o. Let x be -10*(3 + 5\/(-2)). Calculate the remainder when z(x) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 16*z = -5. Suppose 4 = -z*u + 24. Calculate the highest common divisor of 88 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -4. Let g(t) = -t + 2. Determine g(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*30 + (7 - 7). Let r be l\/260*2\/6. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 5*h**2 + 3*h + 2. Let r be x(-4). Suppose -4*y = -2*g - r - 6, -2*g = 2*y + 6. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(448) + sqrt(448) + (1 + sqrt(448) - sqrt(448)) + -4 + 4)**2.\nAnswer: 64*sqrt(7) + 1796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**4 - 4*l**4 + 8 + 25*l - 21*l wrt l.\nAnswer: -20*l**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6*v = 4. Let x(t) = -110*t**v - 106*t**2 + 222*t**2. Let d(r) = 2*r**2. Give x(d(w)).\nAnswer: 24*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*y + 62*y + 5 = 0. Solve -g + 4 - y = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*a - 40*a = -62*a + 1050. What is the remainder when 464 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3408*p - 340668. Determine i(100).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-2 - -5 - (1 + 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-2\/23)*a\/(a*a\/(a\/(a\/a**(2\/19))))*a**(1\/3)\/(a**(1\/4)*a) assuming a is positive.\nAnswer: a**(-4711\/5244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 - 576. Let w = 655.0301 + n. What is w rounded to 3 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d - 144 = -48*d. Calculate the remainder when d is divided by 42.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 17*t - 140. Let n be g(11). Let u(c) = 48*c - 150*c + 54*c + n*c. Let z(f) = -41*f. Let j(k) = 21*k. Let w(x) = 5*j(x) + 3*z(x). Give w(u(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 11*o. Let k be g(-1). Let p = -13 - k. Is p greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70359.9 times -6\nAnswer: -422159.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9675\/52 + 23\/52. Let o = 187 - d. What is the closest to o in -2\/9, -3, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4614499 and -10.\nAnswer: -4614509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 9:24 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -2, -2\/3, 2\/17, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 4*p + p)*(-2 - 1 + 0 + (14 + 6 - 1)*(5 - 2 - 1)) + (2 - 2 + p)*(-7 - 4 + 2).\nAnswer: 61*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*k - k + 5*n, -k - 2*n + 9 = 0. Solve 3*d - k*g + 10 = 0, -18 = 3*d + d - 2*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrr when three letters picked without replacement from {o: 4, w: 3, r: 7, f: 4}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 2575 = -827. Let s = d + 581. Solve -5*g = s + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205 a factor of 176815675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**6\/120 - j**5\/10 - 5*j**4\/24 + j**3\/3 - 7*j**2. What are the prime factors of g(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 192.1045 hours?\nAnswer: 11526.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**2 - 35*l + 31. Let m be h(40). What is m rounded to the nearest one hundred?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 + 103 = 66*s - 194 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 711 + -585. Let i be 38\/x - 244\/549. Which is the second smallest value? (a) i (b) -1 (c) -0.1 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -609034 divided by -2\nAnswer: 304517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 11 - (8 + -60 + -19 + 36)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -446\/36847?\nAnswer: -446\/36847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + 3*w + w**2 - 4*w - 5*w**2 + 2*w**2 to the form d*w + g*w**2 + s and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113820 and 28818140?\nAnswer: 5420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*d*j**3 - 20*d*j + 9*d + j**3 wrt j.\nAnswer: 42*d*j + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3711, 4149, 4587, 5025, 5463?\n\"Answer: 438*d + 3273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21115 (base 11) to base 3.\nAnswer: -1120011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 104271480569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11656.3 and 0.2.\nAnswer: -2331.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 53. Let z(f) = 3*f**2 + f - 105. Let d(m) = -5*t(m) - 3*z(m). Differentiate d(c) with respect to c.\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 2*i + 28, -112*f + 111*f = -3*i - 12 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 61.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107384 is divided by 343?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f - 234. Calculate d(-79).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -838 - 11*k - 2*k**3 - 2*k**3 + 419 + 419.\nAnswer: -4*k**3 - 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.93 - -2.31. Let g = m + 1.12. Which is the second smallest value? (a) -3 (b) -2 (c) -1\/5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18778.425ns?\nAnswer: 0.00000031297375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(sqrt(832)*1*-5 + (sqrt(832)*-3*-4 - sqrt(832))))**2*1*2.\nAnswer: 3833856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2 = -2*o, 110 = -2*r - 5*o. Let u be 30\/r*-1*15. Calculate the greatest common divisor of u and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2349*s**3 - 11*s + 44 wrt s.\nAnswer: 14094*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -28*n - 479. Calculate u(-18).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -234268, -468531, -702794, -937057, -1171320?\n\"Answer: -234263*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 3) + -12 + (2 - 4) + 11 + -27\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + (-8)\/(-12))\/((-39)\/(-117)). Put -5, m, 1\/4, -0.1, -1\/4 in ascending order.\nAnswer: -5, m, -1\/4, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -564 (base 14) in base 7?\nAnswer: -3054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v - 7265 = 0. Let r = v + 3303. Suppose -5061 = -13*k - r. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 30 - 5, 5*z - 530 = -h. Suppose -4*r + 27 = -z. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2018266 divided by -1009133?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*f + 912, 2*k + 2*k + 4*f = 3612. Suppose -k = 5*p - 2*z, -36*p - 720 = -32*p + 2*z. Which is smaller: -179 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 9:37 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16758 = 4*c - 4*o - 16774, 6 = 3*c - 2*o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*u + 25 = 0, -l + 8 = u - 0. Solve -l*i = -8*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 837*c**2 - 7*c - 41. Let m(t) = -836*t**2 + 6*t + 34. What is -6*m(s) - 5*n(s)?\nAnswer: 831*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 = 27. Let j = 51 - 32. Let s = j - -10. Calculate the remainder when s is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 97332, 194836, 292366, 389934, 487552, 585232, 682986, 780826?\n\"Answer: 2*s**3 + s**2 + 97487*s - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-195)\/(-9))\/(((-4)\/438)\/(-2)). Suppose -169 - p = -18*z. Is z a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.604 * -0.6.\nAnswer: -0.3624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*a + a - 98, -2*a + 180 = 2*z. Suppose 6*k + 34 - z = 0. Solve -2*v + 4*v + k = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 0 - i**2 - 1\/2*i**3 + 3*i. What is z(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - f + 3, 3*f + 7 = 2*g + 10. Is 17 a factor of (-1)\/3 + (-128)\/g + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a3 (base 13) in base 12?\nAnswer: 7b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 95 * 8\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -232 - 54868?\nAnswer: -55211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-4 - -2 - -7) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13813 or 13821?\nAnswer: 13821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 288 - 160. Let z = 133 - i. Suppose -a + z*a = 0. Solve a = 5*w + 9 - 29 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24 + 1836*s + 20*s**2 + 1870*s - 3710*s.\nAnswer: 4*(s + 1)*(5*s - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 13860 = -8*n. Calculate the highest common divisor of n and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 138531*r*w - 160433*r wrt w?\nAnswer: 138531*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9879.90622 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 9, -5 in ascending order.\nAnswer: -5, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 25 = -3*c + 3*q, -2*q + 12 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 4*i + 3. Let s be c(-3). Let a(r) = -2 - 2*r + s + r. Let z be a(-5). Solve -u - z*o + o + 7 = 0, 0 = u - 5*o + 28 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/8 and -76\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*m + 2*u + 681289, 54481 = 2*m - 315*u + 318*u. List the prime factors of m.\nAnswer: 7, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -446653.9527 rounded to the nearest ten?\nAnswer: -446650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -7. Let l = 1.8 - 2.1. Let o = 9 - 5. Which is the third biggest value? (a) l (b) k (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2. Let f(w) = 7*w**2 + w. Determine -3*a(b) + f(b).\nAnswer: 4*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 18 = 2*c - 0*c, 3*c - 3*p = -18. Let q be 18\/4*(c + 9). Let s = 32 + -23. What is the highest common factor of s and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/9 + 62*a**2\/3 - 1634*a\/3 + 39710\/9.\nAnswer: -2*(a - 55)*(a - 19)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 62 - -5?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 27*n**2 + n - 3. Let v(i) = -134*i**2 - 6*i + 17. Give -2*v(h) - 11*y(h).\nAnswer: -29*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 + 901 = 5*j. Calculate the greatest common factor of 15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*d + 688*d + 1563*d - 18705 = -1525*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-27) - 1)*64\/240*-9.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-108)\/81*((-18)\/4)\/(-3). What is the second smallest value in -5, 0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 + 4*b**3 - b**3 + 8*b**3.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -21*b**2. Let d(r) = 27 + 27 - 8*r**2 - 82 + 28. Give f(d(g)).\nAnswer: -1344*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 62, 96, 130?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -3 (b) 0.321 (c) -78 (d) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.9507 + 415487\nAnswer: 415485.0493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 172141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1ed7 (base 15) to base 2\nAnswer: -1101001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3014405 is divided by 6152?\nAnswer: 6077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 - 8*d**2 + 60*d**3 + 47*d**3.\nAnswer: 107*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*w = 8, 1 = -x + 7*w - 3*w. Suppose 7*h - 13 = 1. What is the second derivative of 2*i + i**2 - 6*i**2 + 3*i**2 - x*i**h wrt i?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 1358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 699 - -1932. What are the prime factors of v?\nAnswer: 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -15, -4, 173, 2057 in ascending order.\nAnswer: -15, -4, 0, 173, 2057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 28*z + 47. Let m be v(25). Is -26 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (50\/(-15))\/(-4 + 789\/198) and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17253 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 4*h - 1. Let f be (-2)\/(((-8)\/10)\/2). Let g be z(f). Let m be (g\/(-72))\/((-4)\/(-16)). What is the nearest to -1 in -3\/8, 0, m?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvlfra. What is prob of picking 1 l and 1 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45326705?\nAnswer: 5, 281, 32261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*s + 12 + 4 = 0, 20 = 4*l - 2*s. Solve 3*t + 14 = -g, -23*t + l*g = -21*t + 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -247.915 + 360.834. Let j = c + -113. Let l = 0.901 + j. What is l rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 168*r**2 + 3*r - 27. Let a(t) = -59*t**2 - t + 9. Let f(s) = 17*a(s) + 6*x(s). Give f(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 27. Suppose -7*z = -14*z + 28. Let d(v) = -3*v - 53. Let b(j) = z*d(j) + 7*x(j). List the prime factors of b(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131.1 + -131. Let j = -0.06 + -0.24. Let q be (-1)\/3 - 2\/6. Which is the nearest to j? (a) q (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -78, -159, -258, -381, -534, -723, -954, -1233?\n\"Answer: -z**3 - 3*z**2 - 65*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 138*a - 464 - 752 + 112 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2924 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: Rearrange 50*x - 5*x - 24*x - 140*x**2 + x**3 - 20*x to the form p*x + a*x**3 + j + z*x**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3996*s + 153 = 3979*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2 + 4) + -20 + 27. Let w be (-20)\/(-9)*108\/24. Let q(n) = -5 - 11 + n + w. Give q(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q + 108. Let w be h(35). Solve 25 = 5*t, 0 = -w*l - 2*t + 25 - 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 32*v**2 + 47*v + 307. What is m(30)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33*1 + 7\/(-7) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 500\/16 - (30\/(-8))\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*f - 4*p, 4*f + p + p = 50. Let a = -12 + f. Is 12 a factor of 996\/42 + a\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2239?\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-8)\/560*4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -58 + 58 + (2 - 1)*-1. Let p = 1685\/112 - 104\/7. Is j equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -5*t**7\/14 - 35*t**3\/6 - 59*t + 100. Let g(a) be the first derivative of p(a). Find the second derivative of g(u) wrt u.\nAnswer: -300*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/43? (a) 0.2 (b) 2\/5 (c) -5\/2 (d) -4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -152 * 50660\nAnswer: -7700320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1239900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-4 + -2) - (-5 - -4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((0 + (-30)\/(-10))\/17).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 5*h**2 + 49*h - 30. What are the prime factors of x(-13)?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 101110001011001011100?\nAnswer: 101110001011001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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 l(f) be the second derivative of f**4\/12 + f**3\/3 + f**2\/2 + f. Suppose -5*i - 31 = 2*v, -4*v + i - 6 = 1. Determine l(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 89?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**2)\/u)*u*u**0)**(-19) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 82*k**2 + 109*k - 45. What is h(0)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 4 (b) -5 (c) 0 (d) -10004 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, v: 7}. Give prob of picking 4 v.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/8 + ((-1287)\/(-72))\/(-13).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9792, -9786, -9780, -9774, -9768, -9762?\n\"Answer: 6*p - 9798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1180237533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003431 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6 + (8 - (45310\/240)\/23).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.128 (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2224543, 2 in ascending order.\nAnswer: -2224543, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4)*-2)\/(17\/(-170)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1731*s + 386 + 394 - 780 to the form r*s + v and give r.\nAnswer: -1731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -42, -1, -2, -0.2 in decreasing order.\nAnswer: -0.2, -0.5, -1, -2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29158057 and -0.2.\nAnswer: -5831611.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/5556 and -7\/7408?\nAnswer: 22224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 0 - (-51 - -45)) + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-u + 0*u + 0*u) + u + 2*u - u + 3 + 4 - 4*u + 5*u.\nAnswer: 5*u + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 206*s**3\/3 + 2*s**2 - 885*s - 2650. What is the first derivative of n(p) wrt p?\nAnswer: 412*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/(-9) - (-2)\/(-3). Let p be (0 + -3)\/(3\/(-4)). What is the first derivative of 0 - 4 + p*i**d + 1 wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96\/37, 4, 3 in descending order.\nAnswer: 4, 3, 96\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 + 170 = 9*s. Let r(a) = -a**2 + 7*a + 5. What is r(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13015)\/1445 + 58 + -49. Let t be -1*2 + (2 - 2). Let i be (4\/2)\/(4\/t). Which is smaller: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51607 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*-2*0*10\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w - 23. Let y be z(7). Suppose 0*f - 349 = -y*f + 2*c, 2*f - 2*c = 142. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**0)**(-1\/48)\/(m*m**(-4\/9)*m*(m*m*m*m\/(m*m*m\/m**1)*m*m)\/m))\/(m**(5\/6)*m*(m\/m**(2\/3))\/m*m**(2\/7)\/m**(-2\/15)) assuming m is positive.\nAnswer: m**(-31057\/5040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 1718*h**3 + 7972*h**2 + 11368*h + 4544.\nAnswer: (h + 2)**2*(h + 568)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 8:02 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/520*-5*(-38)\/133.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i*t**2 + 114*i*u**2 - 5*t**2*u**2 + 3*t**2*u + 3*t wrt i.\nAnswer: t**2 + 114*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52595 and 335.\nAnswer: 52595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.8 + -23. Let t = -0.7 + -4.3. Let r = 4.6 + t. What is the nearest to -3\/2 in -5, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 3*h + 6. Let w be u(-4). Let a(y) = y**2 - 1. Let k be a(2). Suppose k*t = -t. Solve -2*g - 5*m - w = t, -35 = 4*g - 7*g + 5*m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 - 129*h**2 + 404*h - 382. List the prime factors of y(63).\nAnswer: 13163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j - 19. What are the prime factors of m(15)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i + 15. What is d(-12)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - s**2 + s**2)*(0 + 2*s + 0*s + 2).\nAnswer: -2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8908.518ug in nanograms?\nAnswer: 8908518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of -7 + 366\/54 - (-28732)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 370 and ((-66)\/(-12) - 8)\/(5\/(-444))?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2685 is divided by 192.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*b = 18, 3*b = -2*a + 4 + 15. Suppose 3*y - 145 = -2*w, a*y - 144 = 5*w - 60. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 + 718 = 214*v - 145. Factor 2\/11*c**v - 2\/11*c - 20\/11 + 20\/11*c**2.\nAnswer: 2*(c - 1)*(c + 1)*(c + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**2 - 118*b\/7 + 832\/7 = 0.\nAnswer: -13, 32\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -2760366.\nAnswer: -11041464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1077 and 1786384.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.28 - 0.35. Let l = -0.07 - z. Let q = 25\/33 - 1\/11. Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3 - (-4 - -6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(1285007*g + 6*g**5 - 3 + 5 + 7*g**2 - 1285006*g).\nAnswer: -6*g**5 - 7*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3302153 = 3302348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17079*p**3 - 5*p - 205018 wrt p?\nAnswer: 51237*p**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -b5 (base 13) to base 7\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 5*f**2 - 24*f + 130. Let b be k(5). Solve 11 = -m + b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from rwpwpdwrpararwarwww.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-8)*23\/((-414)\/216). Let l(p) = 2*p**2 - 23*p + 36. What is l(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/65867?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -92.7 and -3942.25.\nAnswer: -4034.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -44. Let d(j) = -g*j + 7*j + 20*j - 45*j. Let v(x) = -x**2. Give v(d(h)).\nAnswer: -625*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - h)*((-h - 4 + 4)*(0 + 1 + 0) - 19*h - 558 + 558 - 31*h + 36*h - 19*h) in the form m + f*h + s*h**2 and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -16*s**2. Let o(z) = 2*z - 7. Determine o(n(a)).\nAnswer: -32*a**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -43*y - 53. Suppose 3*q + 9*c - 6*c + 21 = 0, -4*q - 2*c = 26. Is 41 a factor of n(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1111512 is divided by 369501.\nAnswer: 3009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570490932.\nAnswer: 2, 3, 11, 4321901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57902 at most as big as 57902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 23. Let d(t) = 29*t**2 + 5*t - 7. Is d(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/10)\/(3\/375). Let p = l + -28. Calculate the least common multiple of 10 and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - 1. Let l = -0.03 - -13.03. Let r = v + l. Which is the nearest to 2\/3? (a) r (b) 4\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**6 + p**4 - 547*p**3 - 4*p**2 + 6820 wrt p.\nAnswer: 120*p**3 + 24*p - 3282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 21 + (2 - 6 - (-10 - -14))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-8) - ((-1288)\/(-672))\/(2\/(-18))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*v + 14, 11*v - 8*v = t + 9. Let j(y) = y**2 + 4*y + 3. Let z be j(-3). Let p be (10\/6)\/(480\/(-576)). Put z, t, p, -5 in decreasing order.\nAnswer: t, z, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 minutes after 6:55 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.7 - -2.1. Let h = 25 - m. Let u = -0.8 - h. Which is the smallest value? (a) 1 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-110)\/16 + 7 + 66\/(-16). Which is the fourth smallest value? (a) 1 (b) 0.04 (c) 2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((6 - -15) + -28)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -819 - -804. What is the nearest to m in -5, 1, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122170928.\nAnswer: 2, 11, 373, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 16*b**2 - 12*b - 7. Let n be r(-12). What is the highest common divisor of 391 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = -3*n - 7*d - 196, 8 = -d - d for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 + 7*v - 2. Calculate b(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(18\/(-8)))\/(58\/(-261))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/364)\/(217\/806)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11045, -21511, -31977, -42443, -52909, -63375?\nAnswer: -73841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-223 + 223)*1\/(-9). Let a(b) = -b + 2. Let x be a(3). Let d be 2\/2 + -1 - x. Solve -g - d = -y*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 22?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 578 + -577.8. Which is smaller: i or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a - 12. Let u be d(6). Suppose -9*s + 7*s + 26 = u. Suppose -10*z = -s*z + 54. Calculate the smallest common multiple of 21 and z.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from cmmcmcm?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 104190067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (3 - (1 + 4 + -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 - 3480151387.\nAnswer: -3480151386.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 20 = -0*o. Suppose -o*w - 6 = -2*w - 2*q, 4*q = 20. What is the second derivative of x**4 + x + 3*x + x**4 + w*x wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.006 (b) -16 (c) -11.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*c - 68 = 0, 3*c = m + 4*c + 9. What is the third biggest value in -7, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (-36 - -10) + 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 h, and 2 b when four letters picked without replacement from {d: 2, y: 1, j: 1, h: 4, b: 2, w: 5}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 15*z + 21. Let b(h) = -h**2 - h - 1. Let a(s) = -3*b(s) + m(s). Let o be a(11). Let q = 28 + o. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 43056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4375, 17490, 39349, 69952, 109299, 157390, 214225?\nAnswer: 279804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 10. Let w = -44 + 80. Calculate the highest common divisor of p and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/((-225)\/(-78)) - 6\/(-18). Which is greater: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 3*p**2 + 3*p**2)*(144*p + 2755*p**2 + 72*p - 2754*p**2).\nAnswer: -p**4 - 216*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -4 (c) -1\/3 (d) -3 (e) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 1122?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17653, 17384, 17115?\n\"Answer: -269*c + 17922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 171 = -18*w, 27 = -4906*w + 4902*w + 3*q for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0313 - -206.0313. Let u = -205 + k. Let a = 0.31 + -0.01. What is the second biggest value in a, u, 10\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**3 + 2*u**2 - u + 1. Give q(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -33*v - 27. Let f(z) = 16*z + 14. Let u(n) = -5*f(n) - 3*j(n). Let r be u(9). What is the highest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132 + 158.7. Let f = -28 + g. Let a = -2.7 + f. Put a, -6, 4 in descending order.\nAnswer: 4, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 8:36 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -100, -101, -102, -103, -104?\n\"Answer: -f - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/24)\/((-4)\/48). Suppose -4*m - 2*b = -9*m + 12, -z*b - 2 = 0. Solve -m*a + 24 = -5*a - 4*p, a - 2*p = 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32688 and 22473?\nAnswer: 359568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6937381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 1}. Give prob of sequence ij.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + d = -50, 4*d - 75 = -7*o + 2*o. Let w(m) = 12*m + o*m - 29*m + 5. Let i(a) = a. Give -4*i(g) - w(g).\nAnswer: 2*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/9 + 46*l**2\/9 - 40*l\/3.\nAnswer: -2*l*(l - 20)*(l - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -35. Suppose r = 2*s + 29 - 97, 4*r - 68 = -2*s. What are the prime factors of (-6)\/g - s\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/11 and -2 + 5 - 214\/16.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/935 and -31\/255?\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53397162?\nAnswer: 2, 3, 7, 13, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -37*c**2 + 6*c. Let v(w) = 2*w**2. Give a(v(r)).\nAnswer: -148*r**4 + 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1347)\/(-396) - 22\/(-121) and 25\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2289?\nAnswer: 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 34621 * 0.7064\nAnswer: 24456.2744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-1 + 1 + 2*v) - v - 2*v + 2*v - v - 5*v + 4*v - 7*v + 6 - 27*v - 15 - 5.\nAnswer: -33*v - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95111755?\nAnswer: 5, 19022351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 476061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.94 + 0.06. Let p = 0.01 - -0.29. Sort 2, p, z in increasing order.\nAnswer: p, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - n + 2*n)*(2*n**3 + 2*n - 2*n) + 0*n**4 + n**4 - 6*n**4 + 9*n**4 + 2 - 1 + 2*n**4 to p + s*n**3 + w*n**4 + x*n**2 + z*n and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2 - 22052848*u - 30395506556944 = 0. Calculate u.\nAnswer: -2756606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(21)\/sqrt(3) + sqrt(7) + sqrt(7) + -4 + sqrt(7))**2.\nAnswer: -32*sqrt(7) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 11. Let f(w) = -3*w + 7. Let k be f(g). Let z(p) = -3*p**3 + 2*p**2 - p + 2. Let s(m) = -7*m**3 + 5*m**2 - 3*m + 5. What is k*z(y) + 2*s(y)?\nAnswer: y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*b - 2*c + 109, 2*c = 16*b - 19*b - 31 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*n - 19832581 = 76*n - 19825781 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -268 rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263088 = 7083*f - 3429*f for f.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine halves of a century?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) -3 (c) 92 (d) 4 (e) -2\/47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -30426.55434 to the nearest 10.\nAnswer: -30430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3\/4 + 425*n**2\/4 - 205*n\/2 - 210.\nAnswer: -5*(n - 84)*(n - 2)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -47266 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + sqrt(3)*4.\nAnswer: -3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 133 = 4*i, -174689622*i + 174689624*i = 2*q + 44 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 5:52 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - t - 4. What is j(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -5. Let w be -2*(-2)\/(-6)*75\/b. Let z(x) = x + 2. Let g be z(-2). Sort -5, w, g in descending order.\nAnswer: w, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 88*a**3 + a**2 + 5*a. Let y(g) = 179*g**3 + g**2 + 11*g. Determine -11*w(h) + 5*y(h).\nAnswer: -73*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 + 3*i**2 + 4958*i**4 - i - i**2 + 76*i**3 - 4956*i**4 to the form b*i**2 + c*i**3 + m*i + l + z*i**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1)\/(19\/19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1224 divided by -3.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2 - 57*o + 5. What is q(-21)?\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/21)\/(((-26325)\/350)\/(-39)). Which is smaller: k or -0.728?\nAnswer: -0.728","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -550*m + 278*m - m**3 + 278*m - 3. Suppose 0 = -3*k - 2*n - 9, 0 = 4*k - n + 12 - 0. Let a be y(k). Calculate the greatest common factor of 30 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1265519 by -614.\nAnswer: -1265519\/614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-71*p + 405 - 91*p - 410)*(-2*p**2 + 0*p**2 + 0*p**2) to the form q + d*p + i*p**2 + t*p**3 and give t.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b25a + 7?\nAnswer: 1b264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124*-3981.1.\nAnswer: -493656.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 10 = -5. Suppose -4*s - a*s = -117. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -65, 46 in descending order.\nAnswer: 46, 0, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/10 (b) 20 (c) 7066 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*n**3*q + 237*b*n*q**2 - 2*n**3*q + n**2*q**2 + 22*n*q**2 - 7 wrt b?\nAnswer: 2*n**3*q + 237*n*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74108, 72247, 70386, 68525, 66664?\nAnswer: 64803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 5*s + 6. Let x be n(-4). Let i = x - 0. Which is bigger: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000045829 rounded to seven decimal places?\nAnswer: -0.0000458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 2*f + 20, -35 = -2*b + f. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/12816 and 149\/3204.\nAnswer: 12816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 11*f**2 + 7*f - 16. Determine q(-11).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-8)*(-88)\/6. Let w = m - 17. What is the second biggest value in w, 2\/5, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-128))\/((-37)\/26640*-90)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139*f - 304*f + 1958*f)*(-5 + 4*f + 5).\nAnswer: 7172*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 1:25 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**5\/7 + 1887*a**4\/7 - 201030*a**3\/7 - 1470942*a**2\/7 - 3195261*a\/7 - 275319 = 0. Calculate a.\nAnswer: -721, -3, -1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 105751799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p*p\/(p\/(p**24\/p)))*(p\/(p\/((p\/(p\/p**(-12))*p)\/p)))\/p assuming p is positive.\nAnswer: p**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*a = 14*a - 2324 + 4452 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgvn. What is prob of sequence gnv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*m**2 + m - 12*m + 14*m + 39 - 43 - m**3 as t*m**2 + l + i*m**3 + q*m and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 3*p + 30, 6*p = 2*o - 15 - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -208 - 216 - 2*g + 677 - 223 to the form i + z*g and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 98*u**2 + 1. Let r = -26 + 27. Let a be i(r). What is the smallest common multiple of (-1)\/(-9) - (-385)\/a and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1100.9029995 + -0.3185205. Let b = w - -1101. Let p = 0.22 + b. Round p to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*l**3 + 12*l**3 - 5*l**3)*(2*l + l - l) + (13*l**4 - 4*l**2 + 4*l**2)*(3 - 3 + 1).\nAnswer: 43*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -57*j - 250. Let u = 3 + -6. Sort 1, u, j.\nAnswer: j, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*t + 5, 38 = -4*a + 6*a + 4*t. Let v(f) = f**3 - 7*f**2 - 11*f - 18. Is 15 a factor of v(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2252863, -4505681, -6758499, -9011317, -11264135, -13516953?\n\"Answer: -2252818*z - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 - (-3 - (-4)\/4) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 956423.3 seconds in microseconds?\nAnswer: 956423300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**2 - 9*l - 5. Suppose 0 = 5*b - 35. Suppose -3*r - 4 = 5*j, -j - r + 2 = 4*j. Let u(m) = -3*m - 3*m**2 - 2 - 2*m - j. Determine b*u(a) - 4*g(a).\nAnswer: -a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -55627 times 0.1\nAnswer: -5562.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkbkbh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9221 + 832*n**2 - 523*n**2 - 310*n**2 to f + d*n + o*n**2 and give f.\nAnswer: -9221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + n**2 + 2*n - 2. Let r(s) = 3*s**3 - 2*s**2 - 7*s + 7. Let a = -8279 + 8285. Calculate a*r(b) + 21*v(b).\nAnswer: -3*b**3 + 9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(-1 + 1 + 1)*(0 + 2 - 1)*(-4*a + 4*a - 5*a)*(0*a - a + 2*a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/30)\/(-1)*(-10)\/(-1). Are 7 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 16 = -44 + 8 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 6*m**2 - 8 + 3*m**2 - 4*m**2 - 3*m**2 + (1 - 1 - 2*m)*(-2*m - m + 2*m))*(0*m + 5*m - m)*(-3 - 7 + 3)*(m**2 - 3*m**2 + 0*m**2).\nAnswer: -448*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbaabbabbbbb. Give prob of sequence abb.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 7. Let c(p) = p**3 + 2*p**2 - 3*p + 3. Let k be c(y). Let x = -3 - k. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(143) + sqrt(143)*-1)*-2*5)\/(((sqrt(1100)*1 + sqrt(1100) + sqrt(1100))*4 + sqrt(1100) + sqrt(1100))*1)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 1. Let l(b) = 7*b + 2 - 8 + b. Let k(n) = l(n) - 6*r(n). Let s(o) = 8*o. Determine s(k(w)).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let y(f) = 4*f + 4. Let r be y(9). Let o be 3 + (r\/4)\/2. Let t(p) = 2*p - 8 + o + 0. Calculate t(j(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6337.908ml?\nAnswer: 6.337908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -0.38.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*160\/(-864)*-18?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**5 - 2535*s**4 - 803910*s**3 - 113528550*s**2 - 6059085495*s - 5946358323.\nAnswer: -3*(s + 1)*(s + 211)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29641 is divided by 5927.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44 and 49\/1411847?\nAnswer: 1411847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -38945\/6 greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 15*w - 10*w, 2*w = -5*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/15? (a) -2 (b) 3 (c) 0.08 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**6\/120 - 2*s**5\/15 + 7*s**4\/24 + s**3\/6 - 13*s**2. Let g be a(-9). Solve 6 + g = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-29 - -9) + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -6\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3. Let s(x) be the third derivative of x**5\/60 + x**4\/24 - 2*x**3\/3 - 8*x**2. What is -3*g(l) - 2*s(l)?\nAnswer: -2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(0*d + 0*d + 4*d)*(d**2 + 3 - 3).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + (0\/(-1))\/2. Let q(l) = l**2 - 7*l - 1. Let n be q(z). Solve -m + n = -3*u, u - 13 = -2*u - 4*m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 11*k**3 + 4*k**2 + 3*k. Let p(v) = -v**3 - v**2 - v. What is a(u) + 3*p(u)?\nAnswer: 8*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -28. Suppose 19 - 181 = -o*c. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*d - c, 5*c + 11 = 2*d - 11. Let a be (28\/49)\/(d\/14). Solve r = -r + a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93325?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + -6 + 7 + (-2 - 1). Solve -h*r + 2*p - 20 = 0, -3 = -r + 2*p - 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7732866 is divided by 8174?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1035b56 (base 12) in base 16?\nAnswer: -2eab32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*1 + -1 + 1. Let n = -0.09 - -0.19. Let o(q) = -24*q + 4. Let j be o(0). What is the closest to n in j, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -288ca2 (base 16) to base 13\nAnswer: -720768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111797251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*sqrt(13) + 2.\nAnswer: -2*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**3*b\/(b\/(b\/(b*b**(-17)\/b*b*b))) assuming b is positive.\nAnswer: b**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - u**2 + 3*u. Let l(s) = -s**3 - 3*s**2 + 5*s. What is 5*a(y) - 3*l(y)?\nAnswer: -2*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 946*-1239.\nAnswer: -1172094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/(k*k\/(k*k**(-2\/7))))**(6\/5))**(1\/7) assuming k is positive.\nAnswer: k**(-12\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*k**2 - 254 + k**2 + 51*k**2 in the form q*k**2 + l*k + t and give t.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 (base 6) in base 5?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.91 - 2.87. Let b be ((-6)\/(-24))\/((-6)\/8). What is the nearest to b in z, -4, 2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*c - 20. Let r(a) = 9*a**2 - 14 - a**2 + a**2 + c*a + a**3 + 3. Let b be r(-8). Solve 2*j - 4*p = 4, 0*j + b*p + 2 = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00201072 to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -49, -0.1, -0.06, 2, -5.6, -4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/3960 and 97\/13320?\nAnswer: 146520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64259.949 - 64222. Let m = i - -0.051. Let h = m + -36. Which is the closest to -0.2? (a) 0.3 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 292 = 37*z, c = 2776*z - 2781*z - 42 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-3)\/(6 - -3). Let a be f\/3*-9*3. List the prime factors of ((-15)\/a)\/((-3)\/81).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -549*k + 547*k - 3*t - 19, 0*k - t = -3*k - 23 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-46754)\/12 - -1) + -2. Let q = 3888 + s. Let j = -2\/35 - -127\/385. Find the common denominator of j and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.039 - -25.039. Let d = -21 + q. Let t = 30 - 30.4. Sort t, d, 0.3 in descending order.\nAnswer: d, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2))**(13\/6)\/((l\/l**(-3))\/l**(-2\/5))*((l\/(l**2*l))**47)**43 assuming l is positive.\nAnswer: l**(-242849\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/16)\/(3\/(-12)). Let i = m - 3. Solve i = -4*r - 12 + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -556 < -554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4757 + -2187. Let x = -1010 + p. What is x rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 49*i**2 - 35*i - 405. Let m(k) = k**2 + 3*k + 1. Let x(a) = c(a) + 7*m(a). What is the derivative of x(z) wrt z?\nAnswer: 112*z - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -149 and -1016681.\nAnswer: 151485469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 12*m - 36. Give t(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 4605*z**2 - 1413735*z - 144672215.\nAnswer: -5*(z + 307)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 7:49 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**3 - l**2 - 9*l - 5. Let h(p) = -5*p**3 + p**2 + 8*p + 6. Calculate 6*f(j) + 5*h(j).\nAnswer: 5*j**3 - j**2 - 14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + 2*l**3 + 2*l**3 + (-4*l + 6*l - l)*(-l**2 + 4*l**2 - l**2) - l + l - l**3 - 4*l**3 + 0*l**3 + 5*l**3)*(-1 - 4 + 4).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, -1.5 in decreasing order.\nAnswer: 0, -0.4, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, p: 1, u: 2}. Give prob of sequence upuo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9338, 18587, 27838, 37091, 46346, 55603?\n\"Answer: v**2 + 9246*v + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8947772 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 1. Suppose w - 1 = 1. Let f(g) = 1 - 3*g**2 + w*g + 2 - 5. Let x be 45\/63 + 1\/((-7)\/(-2)). Calculate x*f(k) + 2*s(k).\nAnswer: -k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0.077?\nAnswer: -3.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -760*g - 243. Let n(b) = 350*b + 122. Let q(u) = 13*n(u) + 6*p(u). Determine q(9).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -5*z**8\/336 + 7*z**4\/24 + 12*z**2. What is the second derivative of d(l) wrt l?\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2bcb5 (base 14) in base 8?\nAnswer: 325727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43.21 in 21, 0.5, 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166 divided by -166.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-9)*136\/68*15\/(-4). Let k(b) = -b**2 - 10*b - 1. What is k(i)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84.2 + -93. Let d = -9810.9 - -9819.6877. Let s = d + w. What is s rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 265195.06272.\nAnswer: -265197.06272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(396) - -1*-2*sqrt(396))**2 - sqrt(396) - (2*sqrt(77)*4)\/sqrt(7)))*-1.\nAnswer: -395 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (192\/(-80))\/(4\/(-10)). Calculate the greatest common divisor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*l + l + 10*l + (4 - 2 - 3)*(6*l - l - 3*l) + (1 - 1 - 3*l)*(-1 - 4 - 3) to the form x + o*l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.2, -1\/662, 5\/4, 0.1, -1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**2. Let u(g) = 2. Let l(o) = -3*o - 2. Let k be l(-2). Suppose k*m - 3*m = -1. Let z(w) = -w + 1. Let q(r) = m*u(r) + 2*z(r). Give i(q(j)).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 237.\nAnswer: 4503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26441924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/6*2\/1. Let c = 14 - l. Let j(w) = w**2 - 5*w - 10. What are the prime factors of j(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -10023230103002?\nAnswer: 10023230103003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0.8. What is the second biggest value in -5, g, -13, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -90*k - 53*k + 130*k. Let f(b) = 4*b - 3*b + 6*b. Give d(f(a)).\nAnswer: -91*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:28 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by 54.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -33, 0.2, 0.46, -2\/3, -2 in increasing order.\nAnswer: -33, -15, -2, -2\/3, 0.2, 0.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s = -s - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(0 + 1)*-1. Let q = 1 + o. Suppose b = 2*b - q. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*s - s**2 - 68*s - 107*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16099 smaller than -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(10)\/(sqrt(5) + sqrt(5)*-2) + 0 + sqrt(72) + 4 + sqrt(72) + -2 + sqrt(72))**2*-4.\nAnswer: -2328 - 272*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.143 + -4.343. What is the nearest to -2 in -4, -1\/2, 1, f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 4*n - 25, 35 = 4*a + 31 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*4*(-6)\/18.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 11:16 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50090576 and 3824.\nAnswer: 3824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (10\/(-75))\/(4\/36)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-7)*o*o*o)\/o*o**(-1\/2)*o*(o**(-6)*o)\/o*o\/(o**(1\/6)*o) assuming o is positive.\nAnswer: o**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -23 - (110 + -95).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c*g**3 - 78*c*g**2 + 2*c - 26*g - 1 wrt g.\nAnswer: -18*c*g - 156*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*d**4 + d**3 + 44274*d - 841140 wrt d?\nAnswer: 12*d**3 + 3*d**2 + 44274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1977*g**3 - 1366*g**2?\nAnswer: -11862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, -51, -128, -245, -408, -623, -896?\n\"Answer: -b**3 - 11*b**2 - 3*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20887185 = 20887186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3141913 from 3.7.\nAnswer: 3141916.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12168 and 74496?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73349068 and 12.\nAnswer: 220047204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-28))\/((-47)\/(43710\/(-60)))*14\/4.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 - 0.29. Suppose 2*i + 0*s = s + 2, 0 = 2*i - 3*s - 2. Let p be i\/(-6)*4*1. Which is the biggest value? (a) p (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-408)\/510)\/((-14)\/(-5)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2660, 16046, 38356, 69590, 109748, 158830, 216836?\n\"Answer: 4462*r**2 - 1802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/2 - 93*z**3 - 92*z**2 + 93*z + 185\/2 = 0. Calculate z.\nAnswer: -185, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 9180597*p + 348858354.\nAnswer: 3*(p - 3060161)*(p - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 318811, 1, -5 in decreasing order.\nAnswer: 318811, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12410421103 + -1?\nAnswer: -12410421104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 6*n = -42 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -24, -26, -28, -30, -32?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 1. Let u be i(2). Let q(d) = 11*d + 25. Let c(j) = 4*j + 9. Let g(h) = -8*c(h) + 3*q(h). Give g(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190 - -184. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30430017 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4aa (base 12) to base 13\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 1488?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/241 or -6?\nAnswer: 4\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 17*j**2 + 9*j - 3. Determine m(-8).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 8:16 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 31. Suppose 8*z + 25 = f*z. Solve -z*r = 1 + 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -28 + 19 + -1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 11. Suppose 0 = 2*x - 2*w - 2, -1 - o = x - 2*w. Suppose -3*l - l = x*k - 224, -4*l = 2*k - 224. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(3\/13)))\/(z*z\/(z**(-38)*z)*z)*((z*z\/((((z**(1\/39)\/z)\/z)\/z)\/z))\/z)**(-2\/9) assuming z is positive.\nAnswer: z**(-14347\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 333381 divided by -334?\nAnswer: -333381\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 488 + -482. Suppose -16 = -13*r + 10*r - 5*s, -s = r - f. Solve -3*h = -4 + r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3637 (base 13) to base 8.\nAnswer: -16743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 88663414418376.\nAnswer: -88663414418382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**6\/40 - 61*p**5\/20 + 31*p**4\/4 + 3*p**2 + 12*p. Find y such that k(y) = 0.\nAnswer: -62, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2541.038 - -2541. Let l be ((-11)\/(-21))\/((-1)\/369). Let o = 193 + l. Which is the biggest value? (a) t (b) 0.4 (c) o (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 41930?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/27)*x)\/((x*((x*x**10)\/x*x)\/x)\/x) assuming x is positive.\nAnswer: x**(-218\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7956019 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11\/4)\/(6\/(-24)). Let s be 2\/a + (-128)\/22. Let i be ((-4)\/(-10))\/(s\/(-60)). Solve 15 = -i*h + h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1428638?\nAnswer: 714319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + (-284)\/36 - (-5 + 5). What is the third smallest value in b, -2\/9, 2, -3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-1\/16)\/r)\/r)\/(r*r*r**0*r))**(13\/3))**(3\/19) assuming r is positive.\nAnswer: r**(-1053\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 2, l: 4}. Give prob of sequence dl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 13*q**3\/3 + 1319. Let f(h) = -89*h + 1. Determine f(z(r)).\nAnswer: -1157*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 3:46 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = l. Which is greater: -6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(-3*g + 3*g - g)*(0*g**2 - 3*g**2 + 5*g**2) + 57*g**3 + 3*g**2 - 224*g + 449*g - 226*g.\nAnswer: 59*g**3 + 3*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-384)\/36*1\/(-4)*261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -42, -43, -42, -39, -34?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011101 + 100011000101100100011?\nAnswer: 100011000101001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79056772?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 518\/(-12)*108\/1176 and 79\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9734183 is divided by 159576.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -8.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 56291.1 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2. Let h(n) = -n - 11. Let v be h(-9). Let a be z(v). Suppose 0*w + a = 2*w. Solve -3*s + w*y - 3 = 0, 5*s = 2*y - 0*y - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*k + 347, -5*k + 597 = 3*b - 430. What is the highest common divisor of b and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -33. Solve -6*x + 2*x = k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/18 + 10\/45 - -3. Let j(h) be the second derivative of 1\/60*h**4 + 0 - 1\/10*h**3 + 1\/150*h**6 - u*h + 3\/100*h**5 - 1\/5*h**2. Factor j(n).\nAnswer: (n - 1)*(n + 1)**2*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4477, 4492, 4523, 4576, 4657, 4772, 4927, 5128?\nAnswer: 5381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.038 - -7.038. Which is the biggest value? (a) u (b) 3 (c) -3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -12. Let s = y - -10.66. Round s to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11342 in -0.06, 0.5, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 - -0.3. Let r = -27 - -19.7. Let m = -7 - r. Which is the nearest to -1\/3? (a) -3\/7 (b) o (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-7159\nAnswer: 715.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lok when three letters picked without replacement from otaotilolilk.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 12) in base 4?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -26085, 248, -8 in decreasing order.\nAnswer: 248, -8, -26085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4510005 = 5*w, 2*d - 13*w - 9020002 = -15*w. Round d to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - y + 17. Let k be c(-4). Suppose k*b + 170 = 6*b - s, -s + 355 = 2*b. Is b a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2\/3 - 66*a = 0. What is a?\nAnswer: 0, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 + 12 - 12 + (2*y + y - y)*(y + 3*y - 2*y) - 1 + y**2 + 1 + 0*y**2 + 2*y**2 + 0*y**2 + 19*y + 8*y**2 - 40*y + 24*y as r + n*y**2 + f*y and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-8 - (-3 + -8)) + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786 a factor of 12082983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + -40. Suppose t - 3 = -2*i, i - 4*t = -22 + 46. Solve -4 = -i*o + j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**3 - 2*w**3 + 2*w**3)*(2*w - 1 - 19*w - 12*w) in the form l*w**2 + p*w**4 + d*w**3 + j*w + h and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdbd when four letters picked without replacement from ddffbbwbbbbbbdd.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1 + ((sqrt(120)*3 - sqrt(120)) + sqrt(120))\/sqrt(6))**2 - (((sqrt(720)*3 + -5)**2 - sqrt(720)) + -2)).\nAnswer: -768*sqrt(5) + 12644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 8:43 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*m - 19*m**2 + 117*m.\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**5\/3 - 12976*q**4\/3 + 265340*q**3 + 17800312*q**2\/3 - 38680960*q\/3 = 0.\nAnswer: -19, 0, 2, 80, 3181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1758990)\/(-15) + 2\/(-1). Let v be ((-3 + 0)\/9)\/((-34)\/c). Let t = v + -1150. Which is greater: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/190 and -3 + (-2065)\/300 - (-2)\/(-10)?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.9 - -0.1. Let y = o + -22. Let t be (-3 + 1)\/(6\/(-3)). Put 3, t, y in ascending order.\nAnswer: y, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.15 + -219.85. Let u = r + 194. Sort -1, u, 0.1, -1\/2 in increasing order.\nAnswer: u, -1, -1\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - f**2 + 2)*(-378*f + 275*f - 180*f).\nAnswer: 283*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4)\/((-2)\/16). Let b(i) = i**3 - i**2 + i + 4. Let c be b(0). Solve -2*h + 5*h = c*n - 5, -20 = -t*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**4 + 11*d**3 + 64*d**2 wrt d.\nAnswer: -96*d + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -124655620 rounded to the nearest one hundred thousand?\nAnswer: -124700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -6\/5*t**2 - 18\/5*t + 1 - 2\/15*t**3. Suppose c(n) = 0. What is n?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12320 - 2210?\nAnswer: -21130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1833853ml to litres.\nAnswer: 0.0001833853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -549, -1046, -1563, -2106, -2681?\n\"Answer: -g**3 - 4*g**2 - 478*g - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.2725?\nAnswer: 0.2725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50\/9*c - 2\/9*c**2 + 68.\nAnswer: -2*(c - 9)*(c + 34)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**2 - 85376*p - 116480?\nAnswer: 4*p - 85376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108371864 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 a when three letters picked without replacement from {z: 1, a: 3, u: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-63)\/14)*-15*9\/(-15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -15*d - 129. Let k be q(-9). Suppose -20 = -4*t - 4*j, 2*t - 5*t - 6 = -4*j. Solve -k = t*a + a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(336\/(-24))*2*2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 + 4*h**3 - 4*h**3 - h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 13212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 55. Let z(h) = 8*h**2 + 5*h. Let s(a) = -20*a**2 - 12*a. Give m*z(u) + 5*s(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 18 = -10. Let o(d) = -6*d**3 - 7*d**2 + 9*d + 7. Let u(x) = 3*x**3 + 4*x**2 - 5*x - 4. Let r(y) = m*u(y) + 4*o(y). What is r(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29366 = 57*r - 4720. What are the prime factors of r?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 3062 - 3064 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*j**2 - 28*j**3 + 32*j**2 - 31*j + 2 - 40*j + 19*j wrt j.\nAnswer: -168*j + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-2)\/5) - 4\/8. Suppose 1058 = 2*v - 2*n, -2*v = 2*v - f*n - 2106. Suppose -v = -5*g + 581. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 6:00 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 37. Suppose -5*u - 37 = k - 14, 3*k - 21 = 3*u. Let w be (-2 + 2)\/(4 + u). Solve w = -3*f - t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**2 - 12*u**2 - 4*u**2)*(-1 - 3*u + u + 3*u) in the form i*u**2 + n + r*u**3 + o*u and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(54)\/(sqrt(12)\/sqrt(4))*2)\/(sqrt(45)\/(-2*sqrt(5) + sqrt(5)) + sqrt(36)\/sqrt(4)*5 + sqrt(9)) + 0)*-6)**2.\nAnswer: 288\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -15*t + 173. Let y be i(11). Is -5 - ((-10128)\/y - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 0.1 in ascending order.\nAnswer: -5, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66575 + 66705.196. Let y = -10.4 - 119.6. Let n = k + y. Round n to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18083826?\nAnswer: 2, 3, 1004657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 15*y**3 - y**2. Let j be b(1). Let r = -7 + j. Suppose -u - r = -2. Sort 4, u, -3 in decreasing order.\nAnswer: 4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10223 (base 4) to base 12.\nAnswer: 20b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 590225 divided by 118045?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**3 + 2*v**2 + 8*v - 2. Let h(g) = 5*g**3 - 2*g**2 - 9*g + 3. Give -6*h(i) - 7*p(i).\nAnswer: -2*i**3 - 2*i**2 - 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.366 + 4.366. Which is the biggest value? (a) -2\/9 (b) j (c) 8 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 - -309. Suppose -p - u = -2*p. What is the units digit of 1\/(-2) + p\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -405 >= -149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.56 (b) 1 (c) 0.3 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1270869.6 hours?\nAnswer: 52952.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2567601593?\nAnswer: 2567601593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 217880 divided by -21788?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 3*x**2 - 2*x + 2. Suppose -5 - 3 = -2*q. Give k(q).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1316*p + 2918*p - 1603*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/7*20916\/2241?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.14 - 0.82. Let h = p + 81.96. Let d = h - 81. Which is greater: -9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-6)*(-2)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1814.\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 207 - 2693\/13. Which is the nearest to -2\/5? (a) -35 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, r: 8, i: 2}. Give prob of sequence xxx.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + 63?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 2006 = 1522. Let u be (h\/(-21) - 14)\/(4\/30). Solve 0 = -2*i - 5*i + u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20193.999981314 - -20194. What is o rounded to seven dps?\nAnswer: 0.0000187","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 345 (base 12) to base 5\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141345563 and 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -1)\/(-8 + 9). Suppose -s*l = 2*l - 2*u - 5850, 0 = -2*u. What is l rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/17 - 6862*l**2 - 22342272*l\/17 - 1071544320\/17.\nAnswer: -2*(l + 96)**2*(l + 58135)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3166262697 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1111 by 1.\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3785454*b**2*d**3*k - 96298*b**2*d**2*k + b**2 - 2*b*d*k - b - d**2*k wrt d?\nAnswer: 22712724*b**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7916 and 13055463.\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 <= -45468\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 4. Let l = 3 - n. Calculate the remainder when 58 is divided by (-605)\/(-30) - 2\/l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y**2 + 3*y + 4. Let l(f) = f**2 + f + 1. Calculate -5*l(i) + o(i).\nAnswer: 3*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39*6\/(-5)*(-32 + 22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33818270 divided by -28135\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28369 or 28259?\nAnswer: 28369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67379.\nAnswer: 13, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*i**2 + 93*i**2 - 21*i**2.\nAnswer: 141*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 72*n + 771. What is the hundreds digit of b(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 25*v - 47. Let z(w) = -w**2 + 190*w + 3273. Let p be z(-16). Calculate a(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 4*z - 26 = -4*f, 4*f - 14 = -3*z. Let j = z - 4. Let l(i) be the second derivative of i**4\/12 - i**2 + 3*i. Give l(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05104 to three decimal places.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 945\/(-280)*(-4)\/3*-2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 917651331 and 873?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000111111 + -101?\nAnswer: 1011000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 3\/7)\/2. Let r = -5.08 - -0.08. Which is the second biggest value? (a) p (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, y: 3, u: 5, g: 1, m: 2, e: 1}. Give prob of picking 1 m and 1 g.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(6\/(-2) - -2). Let d(m) = 69*m**2 - 2*m - 1. Let a be d(-1). What is the highest common divisor of r and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/7 + 3162*x\/7 + 214839\/7.\nAnswer: 3*(x + 73)*(x + 981)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354958443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7951*r + 222631. Determine s(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*l**2 - 55*l**2 + 76*l**2)*(-2*l**2 + 2*l**2 + 12*l**3) + 3*l**5 - 2*l**2 + 2*l**2.\nAnswer: 867*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*n - 19500 = -1475*n + 653*n for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005786272 rounded to six decimal places?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -120 + 1c75d?\nAnswer: 1c63d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and 61 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1188, -1201, -1214, -1227, -1240?\n\"Answer: -13*p - 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 8:20 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01414192566 rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 4*j**2 - j - 3. Calculate the least common multiple of g(-4) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1423, 956, 4931, 10502, 17669, 26432?\n\"Answer: 798*d**2 - 15*d - 2206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 464 and 106024?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 255284173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 6*q**2 + q + 2. Let l be b(-6). Let g = l - -6. Let y(o) = -o**2 - 2*o**g - 2 + 2. Let f(v) = -2*v. Give f(y(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 9*d**2 + 15*d - 21. Let x be w(9). Let h = x - 113. Is -56 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 2 + -3 + 13 + -9 + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3201 - -3?\nAnswer: -3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 22\/4)*-2. Let u = f + -5. Suppose -3*m = -m + u*v - 4, -4*v - 4 = -2*m. What is the least common multiple of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9, 51, 127, 243, 405, 619, 891, 1227?\n\"Answer: g**3 + 11*g**2 + 2*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/32*4\/5. Is z smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-42*(-54)\/15876).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.25 + 1.4. Let m = 0.35 + f. Which is the nearest to 0.1? (a) m (b) -5 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*g - 5 + 3*g.\nAnswer: 5*g - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3. Let z(r) = -13*r**3 + 27*r. Let k be 5\/((-1 - 0) + 2). Let u(w) = k*v(w) + z(w). What is the second derivative of u(y) wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let x = 7 + -11. Which is the third biggest value? (a) i (b) x (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*i**2 - 223*i**2 + 107*i**2)*(-i + 1 + 4 - 3).\nAnswer: 200*i**3 - 400*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 5206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4*-2*sqrt(119) + (sqrt(119) - (sqrt(119) + 1*sqrt(119))*2)))\/((sqrt(21) - sqrt(84)\/(sqrt(4) - 2*sqrt(4)) - sqrt(21))\/sqrt(3)*-2).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5310 and 5.53887?\nAnswer: 5315.53887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 3*r - 2. Let f be d(-4). Factor -1\/3*j**f - 4\/3*j - 4\/3.\nAnswer: -(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013348606 rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 8*z + 143. Let f(w) = w**2. Give j(f(a)).\nAnswer: a**4 - 8*a**2 + 143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -41*z - 26. Let t(d) = -95*d**2. Give p(t(y)).\nAnswer: 3895*y**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 3*c**6\/4 - 87*c**5\/10 + 9*c**4 + 124*c**3 + 36*c**2 - 216*c - 2968. Let g(h) = 0. What is h?\nAnswer: -2, -1, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**(7\/4)\/(w*w*w*(w**(-1)\/w*w)\/w)**3*((w*w**1*w)**(5\/8))**(-7) assuming w is positive.\nAnswer: w**(-157\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -10. Let r be 1\/(-5) + (-220)\/25 + 4. Which is the nearest to 0? (a) w (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -0.3, -0.5, -6, -77\/2, -11\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.2 (b) -0.035 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.04, 766, -48, -2, 69 in increasing order.\nAnswer: -48, -2, -0.04, 0.3, 69, 766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2099 = -0*u + 2*u, 1392 = 2*v + 5*u. What are the prime factors of v?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from fwf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (6\/(-21) + (-24)\/14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 44. Suppose -3*w - 220 = -d*j, -w + 3*j - 80 = -0*j. Let x = 122 + w. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from kskyaauuayfy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7960, -16613, -25266, -33919?\n\"Answer: -8653*z + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.6 - -201.7. Let d = -193 + h. What is the closest to -0.1 in 1, d, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**6\/160 + 337*i**5\/40 + 113569*i**4\/32 - 4074*i**2 - 2*i. Let o(p) = 0. What is p?\nAnswer: -337, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296 + 106 = 22*u - 14 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21164)\/55 - (-8)\/10. Let u = 275 - v. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3. Suppose -k = -0 - z. Suppose -2*f + 5*f = -4*c + 46, f + k*c = 22. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, j: 3}. Give prob of picking 3 j and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, v: 3}. Give prob of sequence vv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (29\/(-5))\/((-2)\/10). Let x = 31 - w. Suppose -c = -6*c - 20, x*q - 490 = 5*c. List the prime factors of q.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -62*t**2 + 37*t + 6. Let o(x) = -2*x. What is o(h(a))?\nAnswer: 124*a**2 - 74*a - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39497509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbrd. What is prob of picking 1 d, 2 b, and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 595, -3, 3, -257 in decreasing order.\nAnswer: 595, 3, -3, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3350892 - 9?\nAnswer: -3350901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 217*d**2 + 6*d + 6. Let i(b) = b**2 - b - 2. What is 3*i(q) + s(q)?\nAnswer: 220*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-12))**(-35)*(f**(2\/25))**(-6\/31))**(1\/49) assuming f is positive.\nAnswer: f**(298363\/37975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23320 - 20855. Calculate the highest common factor of f and 2755.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 312\/2106*(-2 - (-7)\/2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19787\/110460 + -115\/1841. What is the common denominator of r and -2 + (-3)\/(288\/(-101))?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3024989*v**3 + 4928*v**2 - 101*v + 1?\nAnswer: 18149934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1519)\/1519*1\/7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -233b?\nAnswer: 2336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from {g: 2, s: 2, d: 11}.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 21 = -3*g, -2*g + 6 = -4. Suppose -5*n + 220 = -j*h - 2278, 0 = 2*n + 4*h - 980. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 467196, 468015, 468834, 469653, 470472, 471291?\nAnswer: 472110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8875*c - 22015 = 9504*c for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 884*s\/9 - 97682\/9.\nAnswer: -2*(s + 221)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -351937.54.\nAnswer: -703875.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1333, -2, -696 in increasing order.\nAnswer: -696, -2, 1333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -521*h - 37981*h**4 + 38376*h**4 + 3*h**2 - 3*h**2 wrt h.\nAnswer: 4740*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1386823mm in meters?\nAnswer: 0.0001386823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 d, and 1 w when three letters picked without replacement from yfgyydwpdgpgdpy.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**2 + 776395*c + 2329140 = 0. What is c?\nAnswer: -155276, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 8. Let o be 8\/g*(-15)\/(-6). Suppose -o*z + 0*z + 68 = 0. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43480 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1298292976?\nAnswer: 2, 81143311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 1533?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 12. Let l(p) = 12. Let b(v) = -4*g(v) + 5*l(v). What is the derivative of b(c) wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19a (base 16) to base 8\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -138, -548, -1230, -2184, -3410?\n\"Answer: -136*f**2 - 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -12. Suppose -f*c = -0*c - 6. Suppose -c*w = 3*q - q - 41, -2 = -2*w + 5*q. Solve w = -5*p - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 1. Let q be l(2). Let j(f) = f**3 - 4 - 5 + 9*f**2 - 2*f**2 - q*f. What is the units digit of j(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 111 = 65. Suppose t + 544 = r*u, 4*u + 4*t - 1064 = -0*t. What is the remainder when u is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 5316*p**2 - 5038084*p + 5032764.\nAnswer: 4*(p - 639)*(p - 1)*(p + 1969)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + 0*a - a)*(3 + 0 - 4) - 593 - 231*a + 593 + (3*a - 2*a + 0*a)*(-3 - 2 + 3) - 3*a - 4*a + 5*a to the form z*a + k and give z.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*v - 26*v - 20. Let h(t) = -t**2 - 9*t - 4. What are the prime factors of h(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(4\/(-9))*(-6)\/18. Let b(h) = h**3 + 5 - 195*h**2 + 200*h**2 + 9*h**r. Let t(v) = 5*v**3 + 2*v**2 + 2. What is 2*b(x) - 5*t(x)?\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -834 - -862. Solve -r + 5*h = -l, -9*r = -12*r + 5*h + 34 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1998617?\nAnswer: 1998617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 7, 0.4, 3\/2, 0.03, 144?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 20*z - 20. What are the prime factors of u(-23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5260, 10711, 16230, 21853, 27616, 33555?\n\"Answer: 6*v**3 - 2*v**2 + 5415*v - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 137 + 88 + 1 - 2*b - 3 + 3 + (b - 3*b + 4*b)*(-3 + 5 - 3) + 3*b + 3*b - 4*b - b + b - 2*b)*(2*b - 1 - 6 + 3).\nAnswer: -10*b**2 + 472*b - 904","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 11*n**2 - 3*n + 11. Let g(s) = s**3 - 10*s**2 - 2*s + 10. Let x = 9 - 4. Let d(o) = x*g(o) - 4*l(o). What is d(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65683 + 65683 + 26912*d + 19602*d.\nAnswer: 46514*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 309 and 69113.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 82*y + 382. Let t be m(4). Which is the closest to t? (a) 0 (b) 4 (c) 0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 3*o - 52 - 207, 3*o + 20*j = 244 for o.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 16*j - 9. Let g be y(6). Suppose 0 = -88*o + g*o + 839. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 813 and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/2*(-3)\/3. Let o = a - -9. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -282?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/5889 and 53\/1359?\nAnswer: 17667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 - 4*f**2 - 3 + 2 + 3*f**2 to l*f + v + u*f**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -5 + 0)*-69. Suppose 1 = -2*p + 3*p, p = -g + h. Let o = g + -40. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-62)\/9 + (-1)\/9. Let x be q\/4 + 1\/(-4). Let c(b) = b**3 + 4*b**2 + 2*b - 4. Let w be c(x). Which is greater: w or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l + 127 = 4*y, 3*y = l + 95. Calculate the greatest common factor of y and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -789 - -794. Let b(q) = q**2 + 3*q - 38. Let r be b(j). Solve 12 - r = 10*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 992 and 6.\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5277304 to the nearest integer?\nAnswer: 2297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 427*g**3 - 10*g + 30. Let v(l) = 2*l. What is s(v(n))?\nAnswer: 5124*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3214568*g + 3049191.\nAnswer: -3214568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15feb3 - 7?\nAnswer: -15feba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 4*q**3\/3 - 46*q**2 + 240*q - 609. Determine v so that a(v) = 0.\nAnswer: 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4))\/(1\/1844). Let n = y + -643. Suppose 0 = 2*k - 7 - n. Calculate the highest common factor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/6 + 2*g**3\/3 - 3*g**2 - 10*g. What are the prime factors of v(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r + 2. Let t(h) be the second derivative of 3*h**3\/2 + 3*h + 92. Calculate t(c(o)).\nAnswer: -18*o + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121 - 2*s**2 + 122*s**3 - 120 - 124*s**3 + 13*s**2 - 203*s**4 to the form c*s**4 + d*s**3 + i*s**2 + j*s + n and give c.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.4, 0.2, 5, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73.6 + -74. Let g = 592.5 - 592. Put g, -2.7, m, -1\/2 in descending order.\nAnswer: g, m, -1\/2, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0127 + 24998?\nAnswer: 24998.0127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + n - 8 = -n, -2*i - 5*n = -20. Let o = i - 9. Let l(j) = 27*j**2 + j - 18. Let y be l(o). What is y rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r + 12. Let a(t) = -2*t + 8. Let h(f) = 8*a(f) - 5*d(f). Suppose -2*m + 6 = -m. What is h(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from wjrwwrrxxjjjrwrxrww.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51478 is divided by 156.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14685 = -5521*o + 5610*o. What is the greatest common divisor of o and 13255?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-3 + sqrt(17))**2) + -1 + ((-3*sqrt(17))**2 + -5 - sqrt(17)) - (-1 + 5 + (-2*sqrt(1700))**2).\nAnswer: -6683 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -18*i**2 + 5*i + 4. Determine n(-4).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 15718.\nAnswer: 3\/15718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-57914)\/115)\/((-2)\/50) + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a hour in seconds?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 36. Let k(b) = -b**2 + 9*b**2 - 45*b - 9*b**v - 19. Is k(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 193*h + 916. Is j(18) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5739, 5736, 5733, 5730, 5727, 5724?\n\"Answer: -3*i + 5742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 15*f + 56. Calculate the remainder when q(16) is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*g = -g + 65, -5*s + 85 = -5*g. Let r be (-2)\/(-6) - (-15)\/9. Put -2, s, r in ascending order.\nAnswer: -2, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 710.6 + -1018.3. What is z rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -1 (c) -5 (d) 1266\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -46 - 164. Sort 0.1, o, 2\/7, 1\/2.\nAnswer: 0.1, 2\/7, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 3:36 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (80 + -80)\/((-2*1)\/(-1)). Solve c - 2*c + 5*y - 26 = p, 0 = -c + 2*y - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i + 0 + 19\/30*i**5 + 22*i**2 - 11\/72*i**6 + 2\/315*i**7 + 68\/9*i**4 + 64\/9*i**3. Factor a(z).\nAnswer: (z - 8)**2*(z + 2)*(4*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -505, -2, 440, -5 in decreasing order.\nAnswer: 440, -2, -5, -505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 2*h**3 - 4*h**2 + 5*h + 6. Is r(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -255095, -254811, -254527?\n\"Answer: 284*r - 255379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*r - 32*r + 78*r)*(9 - 8*r - 9) + (-7*r + 3*r + 3*r)*(2 + 2*r - 2).\nAnswer: -842*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 0*g**2 + g - 28 + 1\/6*g**4 + 0*g**3. Let q(a) = 16*a**2. Give q(s(k)).\nAnswer: 64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 525 + 67. Let q = w + -415. Is 31 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Suppose -4*m = -5*m + 6. Suppose -u = -q - m*u - 13, 2*u = -s*q - 16. Which is smaller: -4 or q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3256831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -648099 divided by -2019.\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7)*u**29 assuming u is positive.\nAnswer: u**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**4*u - f**4 - f**3*u + 74014*f**3 + 136*f**2 + 2707580*f*u wrt f?\nAnswer: 48*f*u - 24*f - 6*u + 444084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29717.486 rounded to the nearest 10?\nAnswer: -29720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 72952, 3, -5\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 31*y**3\/3 + 3*y + 73. Let l(b) = b**2. Calculate l(p(t)).\nAnswer: 961*t**4 + 186*t**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 42 = 234. Solve -6*r = c + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2149, -2319, -2487, -2653?\nAnswer: -2817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(0 + 16\/40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/10 of a minute?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53027851 is divided by 35025?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151.64 + 151. Let m = -0.66 - y. Let f = 1 + -2. What is the smallest value in f, 4, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 17*b - 13. Let z be 18\/27 + 25\/3. Let d(x) be the third derivative of -x**4\/6 + x**3\/2 - 39*x**2. What is z*d(l) + 2*w(l)?\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -230652.24 - 1212.8?\nAnswer: -231865.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/15 + (-4)\/(-3). Let o = v - 1. Let c(n) = n**3 - n**2 - n - 7. Give c(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1519063, -1519058, -1519055, -1519054, -1519055, -1519058, -1519063?\n\"Answer: -r**2 + 8*r - 1519070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 163107 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -5, 0.4, -3\/62, -105?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7555.\nAnswer: 5, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.42 - 29. Let l = h + 5.58. Which is the second biggest value? (a) 2\/19 (b) 2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**6\/60 - m**5\/20 - m**4\/8 - 2*m**3\/3 - 2*m**2. Let z = 0 + 3. Is 11 a factor of r(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*2\/352*28. Let f = p - -43\/33. Factor f - 13\/3*s + 28\/3*s**3 + 13\/3*s**2.\nAnswer: (s + 1)*(4*s - 1)*(7*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7677?\nAnswer: 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 195 and 11745 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1482 and 107\/20.\nAnswer: 14820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -125*b + 2. Let v be o(-8). Let m = 31 + v. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -11*r + 12*r. Let j = r - 14. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 - ((10 - 16) + 10). Put 1\/3, -0.2, 0.1, v in increasing order.\nAnswer: -0.2, 0.1, 1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/35*-1*(-2)\/(-4)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7040863897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 2, x: 2, q: 1, w: 10, o: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/105 - (1 - (-20)\/(-14)). Let m = r - 94\/189. Which is the second smallest value? (a) m (b) -0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 711.99999894 - 712. Round w to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/32488 and 51\/310.\nAnswer: 162440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*u + 124 = -0*u, 5*m - 3*u + 131 = 0. Let q = 29 + m. Factor 32*c**3 + 0 - 33*c**3 - q - 3*c**2 - 3*c.\nAnswer: -(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(27) - sqrt(3)))*-4.\nAnswer: -8*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29505 = c - 3*q, -117922 = -6*c + 2*c - 2*q. Does 36 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 - 78.6. Sort q, 5, -2, 3\/8 in decreasing order.\nAnswer: 5, q, 3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350258?\nAnswer: 2, 175129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 2*p + 2. Let i(b) = 3*b**2 - 5*b - 5. Let z be (4 + -19)*3\/3. Let a(j) = z*l(j) - 6*i(j). Let r(k) = -2*k**2. Give a(r(m)).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 2. Let z be m(5). Let j = 1097\/95 - 4863\/380. Put -3, z, j in increasing order.\nAnswer: -3, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-180)*2*5\/(-12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 2:33 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2673)*3 - sqrt(2673)) + sqrt(2673))\/(-1*1*sqrt(11)).\nAnswer: -27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(13) + (2*sqrt(117))\/sqrt(9)).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903564583?\nAnswer: 163, 1721, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 78477984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 578 and 20?\nAnswer: 5780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13015, 26037, 39067, 52111, 65175, 78265, 91387, 104547?\n\"Answer: g**3 - 2*g**2 + 13021*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 10. Let k(x) = -2*x - 6. Suppose -4*h - 36 = 8*h. Let y(i) = h*o(i) + 5*k(i). Let j(w) = -11*w. What is j(y(l))?\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -263 in -2, -2\/11, -0.4, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -315?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.10269815.\nAnswer: -0.10269815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-18)*(-2)\/(8\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-4))\/(5\/(-610)). Suppose -5*f = -q + 24. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15242 + 2243502?\nAnswer: 2224220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 802529.4 years?\nAnswer: 802.5294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + 0 + 7 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4)*k)**38*(k**1)**(2\/7)*(k*k\/(k*k**(1\/4)))**(-2\/31)\/(k\/(k\/(k**(2\/7)\/k*k)*k*k))**49 assuming k is positive.\nAnswer: k**(28587\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -37 (b) -7 (c) -4 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/63753 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6633\/92 or 71?\nAnswer: 6633\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2469.9 - 2470. What is the nearest to 1 in -2\/3, 5\/2, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**2 + 1381*a - 345 = 0. What is a?\nAnswer: 1\/4, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -21. Suppose h + 19 = 4*m, m - 2*h - 13 = h. Solve -j + m = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*m + m. Suppose 2*j = -3*j + m. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 13*o + 44. Let d(r) = -84*r - 292. Let u(k) = -5*d(k) - 32*h(k). Determine u(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -28. Let g be (6\/15)\/(2\/d). Let y be (-172)\/(-36) - ((-58)\/18 + 3). Put y, -5, g in ascending order.\nAnswer: -5, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/96 and 55\/32504?\nAnswer: 390048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from obooooooooooo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t - 644. Let s = t + 2848\/9. Find the common denominator of s and 109\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 633.8508 weeks in microseconds?\nAnswer: 383352963840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94468 is divided by 116.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*v + 88 + 206 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-35)\/(-26)))\/((-2561)\/(-2561))?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 5*l**2 + 14*l + 8. Let a be r(-5). Let v = 67 + a. Suppose -2*n + 210 = 5*x, v*x - 62 - 148 = 4*n. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10895036 - 396*o**3 + 10895036.\nAnswer: -396*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*v = 121*v - 9766138. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 11*h**3 + h**2 + 2*h + 1. Suppose 2*w + 14 = -3*y, -4*w + 4*y + 12 = -0*y. What is a(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1742 and 32006?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6160*h**6 + 4163*h**5 - 16*h**2 - 574141 wrt h?\nAnswer: 739200*h**3 + 249780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/(sqrt(10)\/sqrt(5))*6*2)\/(sqrt(200) + sqrt(200)*-1*-3 - (sqrt(200) - (sqrt(200) - (sqrt(200) - -2*sqrt(200)*1)))))**2.\nAnswer: 468\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*n - n. Let q(k) be the third derivative of -k**4\/3 + 13*k**3\/6 - 2*k**2. Does 25 divide q(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98*-1.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**5 + 3*n**5 - 5*n**5 + (1 - 5 + 2)*(2*n**4 - n**5 - 2*n**4) + 5*n**3 - 6*n**5 + 151*n**4 - 151*n**4.\nAnswer: -3*n**5 + 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20762314 and 1126?\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 326 = 3*o - 110, 0 = -2*s - 2*o + 496. Solve 2*r - s = -230 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhll. What is prob of picking 3 h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-14)*56\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*g + 34, -2*g - 64 = -5*v - 0*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14153 + 5*n - 4*n + 2*n - 14052 in the form d + h*n and give d.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8509*a**2 - 2122542 + 2122542 + (-a + a - 2*a)*(-1 + a + 1).\nAnswer: 8507*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164606 and 2366.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/50)\/((-3)\/((-135)\/(-18))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) + 2766\/(-15). Let s = h - -382. Let f be (7\/(-3))\/(56\/(-528)). What is the highest common factor of f and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 365 + -330. Calculate the lowest common multiple of 140 and c.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 3 (c) -2.63 (d) -4\/5 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 3*j + 2 + 1, 0 = 5*o + j + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3 = 5*v, 35982*z + 4*v = 35980*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305856?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -9 (b) 9 (c) -1 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 4 + 11)*(0*k**4 - 2*k**4 + k**4) in the form q*k**3 + s*k**4 + v*k + d + t*k**2 and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2430) - (sqrt(2430) + sqrt(2430) + sqrt(2430) + sqrt(2430)*3 + sqrt(2430)))\/(sqrt(6) + sqrt(24)\/sqrt(4)*2 - sqrt(6)).\nAnswer: -27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22221202 + -1?\nAnswer: -22221203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 232?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**3 - 6*d**2 + 7*d + 6. Let u(y) = -9*y**3 + 11*y**2 - 13*y - 11. Let c be (-11)\/(-2)*4\/(16 - 14). Calculate c*h(t) + 6*u(t).\nAnswer: -10*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -18226*m - 5996366. Give v(-329).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**7\/1260 + j**5\/30 + j**4\/12 + 4*j. Let u(t) be the third derivative of o(t). Differentiate u(f) wrt f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 5*h - 3. Let n be f(6). Suppose 8*d = n*d + 770. Let x = 193 + d. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*p - p = -12, 5*w + 3*p = -12. Suppose -5*l + 4*v + 671 = w, -266 = -0*l - 2*l + v. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 2*3*(-2)\/4*8736\/(-468).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27742, -55482, -83222?\nAnswer: -110962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (23\/5 + -2). Let z be (-162)\/81 - (-3)\/2. Let i = 2 - -2. What is the smallest value in -0.4, z, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 107*t + 238. Give n(98).\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 12*o + 7*o**2 - 7 + 0*o**2 - 8*o**2 + 0*o. What is the units digit of z(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -5, 1\/4, 5 in descending order.\nAnswer: 11, 5, 1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 164305*k. Let l(u) = -2*u. Determine l(o(a)).\nAnswer: -328610*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 3*n**2 + n - 1. Let z be g(3). Let t be 15\/42*z - 1. Let p = -31\/6 - -5. Is p bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(104) + (-2*sqrt(104) - sqrt(104)))\/sqrt(2)*-3 - (1*(sqrt(520) + sqrt(520)*1))\/sqrt(10)) + -4)**2.\nAnswer: -4240 + 320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*c + 10, 3*p - 2 - 2 = 4*c. Suppose p*y - 5 - 5 = -2*f, 3*y + 5 = -4*f. Find the third derivative of 0*t**2 - t**y + 0*t**5 - t**2 wrt t.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s. Let r be ((-2 - -6)\/2)\/1. Let a(f) = -f - r*f + 2*f. Calculate a(p(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-2\/9))*r**(-2))\/(r**(-3)\/(r\/((r*r*r*r\/(r**(-2)\/r))\/r))) assuming r is positive.\nAnswer: r**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3016 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 60868 divided by 15217?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6497*v + 6495*v = -5*f + 16, 0 = -6*f + 2*v + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**3 + 0*o**3 + 2*o + 3*o**2 - 3 + 3 as t*o + i*o**3 + b*o**2 + u and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4 = -2*z, -106*z - 7 = -g - 105*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4658 - -1.37324. Round i to 3 dps.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 - 181 - 5*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/5 and -36\/145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*q - 46, 0 = -q + 1 + 1. Let d(c) = c**3 + 10*c**2 + 5*c - 5. Calculate the remainder when 90 is divided by d(v).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 20 = -6*x + 6. Let k(s) = 4*s**2 - s - 1. Let j be k(-1). Sort x, -3, j, -6.\nAnswer: -6, -3, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72499 is divided by 23022?\nAnswer: 3433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2 - 2*s + 1. Let v(j) = 2*j**2 + 11*j - 11. What is the remainder when v(3) is divided by p(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-7) - 138\/(-7). Let h = 5134 - 5134. Solve h = -2*w + f + 3*f - k, 3*f - 6 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-72)\/15)*(24\/(-26))\/((-88)\/4576).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -10. Let s be 1\/(-2) - (-2)\/4. Suppose s = -0*d - d + 2*k - 2, 5*d + 1 = k. Solve -v - 2*v + 5*i - 34 = d, -j*v - 2*i - 5 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8402443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 5*b + 4. Let c be ((-46)\/(-4))\/(3\/6). Suppose r + 3*r = -5*p - c, 4*p - 5*r = -2. Does 7 divide k(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**2\/(j*j**(-1)\/j)*(j*j**(-4))\/(j\/(j*j**6))*(j*j**(-2\/3))\/(j*j*j**(5\/4)*j)*j**(-2\/5)*j\/(j*j\/(j\/((j**5\/j*j)\/j))*j)*j assuming j is positive.\nAnswer: j**(-139\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48, 199, 446, 789?\n\"Answer: 48*c**2 + 7*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 7:13 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -0.47.\nAnswer: -0.0376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 0\/1) + ((-1394)\/42517 - 4859\/(-1220)).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3059.822ml?\nAnswer: 3.059822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -3, 1, -14, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 66, 1, 5 in decreasing order.\nAnswer: 66, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115932 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: Suppose 123*c = 128*c - 10. Does 75 divide -2 + (-437)\/(-3) - c\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 6:17 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9846 and 80808.\nAnswer: 90654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76\/(-6)*(-3)\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 0) + (-2 - (-3 + 2)). Solve -5*r = i + i + 4, h*r + 4 = -2*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 3\/2*n**2 - 9*n - 6. Let x be f(4). Solve -5*s - 8 + x = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 4. Let g(t) = 3*t - 11. Suppose -2*c + 26 = 4*b, 0 = 2*c + 2*c + 2*b - 64. Let a(q) = c*s(q) - 6*g(q). Let y be a(-2). Solve y*z + z = 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 777*s + 57115. Determine g(63).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000090709946 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-481389250 - 3303*x + 481389250)*(-4 - 2 + 4) to the form p + k*x and give k.\nAnswer: 6606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69482051 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 788 - 172. Let z be (-3)\/(-7) + (-244)\/u. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533 at most 1533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/22 - (-1127)\/1078. Let y(d) be the first derivative of 2 + 2*d**2 + 0*d - 2\/3*d**3 - r*d**4. What is n in y(n) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35761 and 616.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -223*j + 221*j + 286*j to v*j + m and give v.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1779381 + 594*d**2 - d + 889692 + 889689.\nAnswer: 594*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - -35?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 48322*r - r**3 - 48322*r.\nAnswer: -r**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13253 and 27877.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 45*5\/(-20)*6672\/(-2502)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2527)\/(-49) - (-3)\/7?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -1.02, 0.2, 0.03, -0.3?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 4, 1113 in increasing order.\nAnswer: -4, 4, 5, 1113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*b = s - 54, 2*s - 30 = -3*b. Let j = 4 + s. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*c - 986 + 0*c + 568 + 895 in the form p + o*c and give p.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2802679210?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/301 + 316\/1505. Let g = -19 - -19.31. Let r = 20.31 - g. What is the smallest value in -1\/4, p, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56269, 225210, 506787, 901006, 1407873, 2027394, 2759575?\nAnswer: 3604422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-11 + -1)*-6. Suppose v*w - 3*f = w + 16, f = -3*w + 8. Let o(x) = 7*x - 2. Does 9 divide o(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pckbvkcb. What is prob of picking 1 c and 2 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/9))\/(o*o\/(o*o\/(((o\/(o\/o**(1\/6)))\/o)\/o)))*(o**(-3\/4))**(-50) assuming o is positive.\nAnswer: o**(361\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -64, -23, 28, 95, 184, 301, 452?\n\"Answer: t**3 - t**2 + 37*t - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -731363.\nAnswer: -731362.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900\/9 at least 211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-64496\nAnswer: -64495.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 5 + 4 - 2*m - 56 to the form q*m + o and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011709 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21002695 is divided by 51.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**6\/150 - y**5\/20 + y**4\/10 + 2*y**3\/15 + 41*y**2. Suppose f(h) = 0. Calculate h.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -17)*35\/(-4). Suppose -w - 29 = -2*h - b, -b - 86 = -h. Let v be h\/10 - 3\/(-2). Solve -m = 4*m - v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151818.\nAnswer: 2, 3, 25303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a hour in minutes?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 540 and 603?\nAnswer: 36180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7882*q + 241. Is z(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4032360 (base 9) to base 7.\nAnswer: 24152031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21998 (base 10) to base 11.\nAnswer: -15589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-230)\/(-575))\/((-12)\/9).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 5 - -3)\/(-10). Let j = -0.066 + -4.934. Which is the second smallest value? (a) j (b) -3 (c) f (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t + 50. Let z be p(-23). Suppose 9*r - z*r - 795 = 0. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -164 - -185. Let k = -34 + t. What is k rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 7*k + 3. Let f(y) = -5 + 4 - 3 + y**2 - y + 3*y. Let d be f(-4). Let u be d - -1 - (-4)\/4. Give h(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/29)*w**(-9\/4))\/(w**(-1))**(1\/19) assuming w is positive.\nAnswer: w**(-5071\/2204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3 + sqrt(931))*-2 + 6*(sqrt(931) + -2))**2.\nAnswer: -336*sqrt(19) + 14932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**4\/4 + 2*x**3\/3 - 3*x**2\/2 + 10*x - 1550. Determine b(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) 0.2 (c) 2\/183 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 13*n = -18. List the prime factors of n\/(-15) - 1512\/(-45).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4569988325?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 34, 85, 158?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 2. Let s be l(-2). Let j be 6\/33 + (-13)\/11. Let d be 3\/(12\/(-88))*j. Solve a - t = 5, -5*t + 6 - d = s*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.01 + 0.01. Let z = -27.6 - p. Let r = -2667\/13 + 205. What is the smallest value in r, -0.08, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8450254?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 268 = 2*g - b, -4*g - 3*b = -572. Let c = -5177 - -7249. Suppose 24*i = -13*i + c. Calculate the highest common factor of g and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*d + 21, -4*d + 0*z = 2*z + 14. Let r = 165 - 681. Calculate the remainder when ((-2)\/(-6))\/(d\/r) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 32*a - 33. Let q be k(-33). Suppose -5*s + 18*s = 65. Solve -16 = -r + 2*n - s, -3*r - n + 12 = q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b\/(b**(-3)*b)))\/(b\/(b\/(b\/b**0))*b))\/(b**0)**(-15\/7))**(-6))**50 assuming b is positive.\nAnswer: b**1200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10049 - 894373\/89. Let l be -1 + 0 + 1 - 1. Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 27*m - 464 = -160 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.035 - -1.335. Let a = m + 1.7. Put a, -6\/5, -0.5 in ascending order.\nAnswer: -6\/5, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1424 <= -1424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216837, -217523, -218659, -220239, -222257, -224707, -227583, -230879?\nAnswer: -234589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 1:41 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*h = 152*h + 35. Suppose -9*w = -h*w - 24. Let y be 3\/(w\/(-8)) + 16. Solve 4*b + 2*n - 2 = 0, -4*b + y = -n - n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5197286?\nAnswer: 2, 53, 49031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from ddddnn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768a8 (base 11) in base 5?\nAnswer: 32210420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153 - -166. Calculate the greatest common factor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/7)*g\/(g*((g\/(g\/(g\/((g**2\/g)\/g*g))))\/g)\/g)*g**(1\/6)*g**6\/g assuming g is positive.\nAnswer: g**(283\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, h: 4, x: 3, v: 1, o: 4}. Give prob of sequence xh.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 168\/(-77) - (-4)\/22. Is (2 + 152)\/(k + 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -834 divided by 468?\nAnswer: -139\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1154038, 1, -4, -2\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 558 divided by -2\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174627 is divided by 10907?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -187*h + 196*h - 4*v, 0 = 3*h + 3*v + 9 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -67*d**2 + 11*d - 64*d**2 + 2 + 130*d**2 + 5. Determine v(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4559588 nanoseconds in milliseconds?\nAnswer: 0.0000004559588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - 4*n + 2*n)*(0 + 0 + n)*(-1643 + 54 + 46)*(n + 1 - 1) to the form u + y*n + z*n**2 + t*n**3 and give t.\nAnswer: 6172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-12)*-4)\/((-19)\/(-2)).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.374 + -0.226. What is the fourth smallest value in -5, h, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r + 119. What is j(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t + 3*t)*(-t - t + 3*t) + 1150*t**2 + 889587 - 889587.\nAnswer: 1151*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.1. Let k = 2979 - 5961\/2. Which is the nearest to q? (a) -3\/5 (b) k (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -649, -1295, -1951, -2623, -3317, -4039, -4795?\nAnswer: -5591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 244089446 a multiple of 1599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1358 = 15*c - 13*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h. Let a(t) = -77021*t**2 - t. Give u(a(z)).\nAnswer: -154042*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 - -22?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0 (c) 33 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 14*j - 5865 = -19*j, j = 4*p + 5845. What is the remainder when p\/(-5)*1*6\/8 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*c - 271*c = 284*c + 976*c + 73573 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5115621596?\nAnswer: 2, 277, 761, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 506*n**2 + 36*n**3 - 1069*n**2 + 561*n**2 - 17*n as z*n + p*n**3 + k + j*n**2 and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 12*a. Let w(c) = 2*c. What is b(w(f))?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 24. Let p(x) = -3*x**2 - 3*x + 2. Let b(w) = w**2 + w. Calculate q*b(i) - p(i).\nAnswer: 2*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 - 462 - 292 + 0*q - 2*q + 487 as z*q**2 + x*q + i*q**3 + t and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4b41d (base 15) to base 13\nAnswer: -85651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -b - 1, -2*g = -5*b - g + 13. What is the first derivative of 46*p + 5 - b - 2*p + 66*p + 10 wrt p?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1574662, 3149325, 4723988, 6298651, 7873314?\nAnswer: 9447977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002111200122 + 1122?\nAnswer: -10002111122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, z: 3, c: 1, d: 4, u: 2, l: 2}. Give prob of picking 1 u and 1 c.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 37 - (51 - 23) - (2 + -17)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + g - 1. Let w(c) = 8*c**2 - 2*c - 8. Let v(q) = 6*l(q) + w(q). Let s be v(-10). Let r = s - 86. Does 30 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5671473 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*q - 117 + 29, c = -q + 16. Suppose -3*s = 2*s + 4*h + q, -2*s - 5*h - 25 = 0. Solve s = -4*a - a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -75854*z**3 - 5*z + 75852*z**3 + 9*z + 22 - 9*z**2. Give f(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381 = -76*g + 151 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 245622 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.207+0.7\nAnswer: 1.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -677*r*x**3 + 262*r*x**2 - r*x - 1022063*x**3 wrt r.\nAnswer: -677*x**3 + 262*x**2 - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26012 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (141 + -136 - (-2 - 0)) + -1 + 6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62934 is divided by 123.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, v: 7}. Give prob of sequence xvvv.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*i + 1 = 0, 0*i - 3 = -3*i. Sort 3, k, -5 in decreasing order.\nAnswer: 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -414\/5 - -1731\/20. Find the common denominator of -4 - (2 - 1225\/90) and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4046348513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6761, -6760, -6759, -6758, -6757, -6756?\n\"Answer: f - 6762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47466 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 181 or 57786\/317?\nAnswer: 57786\/317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 6*q**2 - 4*q - 9. Let o be p(-6). Suppose o = 2*x - 27. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l + 11. Let n be 2\/9 - (-6)\/(-27). Let b be (3 + n)*6\/9. Suppose -r = -3*x - 4*r - 3, -b*x + 13 = 5*r. Let j(i) = -4*i + 6. Give x*a(h) + 11*j(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 6*z**2 + 3*z.\nAnswer: 3*z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02757048 rounded to 4 dps?\nAnswer: 0.0276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 155, 234, 313, 392, 471?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2344 - 2341. What is the nearest to -0.1 in c, 5, -1520?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*d**2 - 1 + 4*d + 19*d - 17*d**2 - 23*d.\nAnswer: -63*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -55.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 543 and -126.\nAnswer: -68418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -255, -259, -263?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -826 + 828. Suppose 2*q = -w*z + 1120, -5*z - 179 + 2424 = 4*q. Is 37 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 - -71. Is t a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113733 = -853*q + 47199 for q.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -23. Suppose 0 = y*w - 6*w. What is the units digit of (3 - (w + (-2 - -2))) + 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 207af?\nAnswer: 207ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + 0.5. Suppose 19*v - 95 = -2*v + 10. What is the second smallest value in -4, g, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 6*y - 13*y + 5*y + 0.\nAnswer: -2*y - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -3*d + 51. Solve -6 = -2*h - d*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 25. Let n be 6\/(-4)*(-2)\/5. Is n < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 1, -1342 in descending order.\nAnswer: 1, 0, -2, -1342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26 and 115640?\nAnswer: 115666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 - 3 = 0, 0 = s - 4*j + 10. Let p be (-3 - 38\/(-13))*s. Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 14*d**2 - 1. Let v be g(13). What is the greatest common divisor of v and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21140405*v**2 + 15958903*v?\nAnswer: -42280810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20140 = 974*l + 86*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 208953*q - 208993*q - 96 + 0*q**2 - 4*q**2 = 0.\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/3662 and 31\/23.\nAnswer: 84226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 77199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 0*q - q)*(-3*q - 2 + 5*q - q + (1 - 3 + 5)*(q - 2*q - 2*q)) - 2*q**2 + 4*q**2 + 0*q**2.\nAnswer: -22*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 353210 (base 6) to base 16\nAnswer: 7746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 1100*t = 1105*t + 11, 33 = 3*o - 2*t for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/(-6) + 1)\/((-4)\/6). Suppose c + 2*j + j = 5510, -22082 = -4*c + v*j. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -497 (base 10) to base 11\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*(-38)\/5320*45*2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23649 + -7*(-2 + 10)\/((-7)\/1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3776540 and -121\/6797772.\nAnswer: 33988860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 65 - (0 + -1 + 2). Suppose 5 = 5*i, -s = -5*l + i - 0*i. Let o = -93 - -131. Calculate the remainder when o is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 6. Let n = 0.1559 - -1.8441. What is the closest to -0.1 in a, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*p + 2*p**2 + p**3 + 1 + 5 - 21*p - 4 to the form d + r*p**3 + c*p + x*p**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Let z = 15 + -1. Suppose -z = 4*l - r, -3*l + 0*r = -r + 10. Sort l, 0, f in decreasing order.\nAnswer: f, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -23, 37, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 11. Let a be -3 - (276\/(-161))\/((-3)\/(-14)). Suppose 2*q + 8 = 3*k, -q + 2*q + 4 = -k. Solve -a*d = -k - l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 - 3248*s - 10038983\/3.\nAnswer: -(s + 1171)*(s + 8573)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -195264.\nAnswer: -13\/97632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3622 - -3624. Solve f = k - 7, -f - 4*k - s = -5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5068.901521 to 0 dps.\nAnswer: 5069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(27) + -2*(sqrt(27))**2 + 4 + 5 + 1*(0 + sqrt(27) + sqrt(27)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -5) + 8\/14 + 2. Let h = -36.52 + 41. Let l = -0.48 + h. Put t, -3\/5, l in descending order.\nAnswer: l, t, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 852, 8, -21495 in descending order.\nAnswer: 852, 8, -21495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**5\/45 + 188*o**4\/9 + 70688*o**3\/9 - 2*o**2 + 163*o. Factor w(q).\nAnswer: 4*(q + 188)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 79, 1\/2, -701?\nAnswer: -701","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*l = -1300, -2*z - 2*l - 238 + 2830 = 0. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - v - 3*v. Let u(s) = -6*s**2. Determine u(j(n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1567 + 9694?\nAnswer: 8127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 260, 1233, 2966, 5549, 9072, 13625?\n\"Answer: 15*y**3 + 290*y**2 - 2*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/45)\/(2\/30). What is the nearest to -1 in -0.2, k, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.762 times -0.2?\nAnswer: 2.7524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 2*b**2 + 0*b + 0*b**3 + 1\/60*b**5 + 0*b**4 + 0. Let l(c) be the second derivative of -c**3\/3 + c. What is v(l(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*b - 3237 = 0, b = 4*x + 5580 + 927. Let n be 1\/((3\/x)\/(84\/(-8))). Suppose 6*k - 4707 = n. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45646327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 9:46 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1022 divide 19190698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-1 - 24) - 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7000234, 1, 19 in increasing order.\nAnswer: -7000234, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjtwotfh. Give prob of sequence tf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 12:43 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 466036, 466039, 466044, 466051, 466060, 466071?\nAnswer: 466084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**4 - 28*l**3 - 56*l**2 - 32*l = 0?\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 573 - 398. Suppose -21*i + h = -16*i. Calculate the highest common factor of 21 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + -47. Let m = -50 - a. Let x = m + -7.5. Sort -1, x, 4 in increasing order.\nAnswer: -1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -80, -103, -144, -209, -304, -435?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 301123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 12. Suppose 4683*r - 4680*r - 6 = 0. What is the biggest value in 0, -1\/3, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 5*r**2 + 7*r - 8. Let b be g(6). Let n(x) = 3*x - 2 - 3*x - 2 + 4*x. Let q be n(8). What is the highest common divisor of b and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -102 + 2*z + 46*z - 12*z**2 + z**3 - 61 - 76 + 59. Factor u(c).\nAnswer: 3*(c - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 8*i - 30. Determine h(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16165\/2466 + -38\/137. Calculate the common denominator of j and 64\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - r + 361, -5*g - 5 - 447 = -r. Let b = 84 - g. What is the remainder when b is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-200)\/12*(-12)\/(-5)*(-38)\/(-95)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 27) + 20 - 11.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 92 (b) -24 (c) 0 (d) -0.0187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + 2*p**2 - p**2)*(89 + 77 - 137 - 2*p)*(1 + 3*p - 1).\nAnswer: -24*p**4 + 348*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 75*d + 1873. Calculate z(-16).\nAnswer: 673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -178.8 less than 87?\nAnswer: 265.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c + 3. Let h(r) = -12*r - 5. Let y(o) = -3*h(o) - 7*m(o). Let q be (20\/(-5))\/((-2)\/(-2)). Is y(q) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1941?\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-1 - (-8 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 22.5. Let c = a - 8. Let z(i) = -i + 3. Let r be z(7). What is the biggest value in r, -0.03, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 20*h**2 - 41*h - 420. Calculate u(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1117*c*n**2*x**2 - c*n**2*x - 169*c*n**2 - 4119*n**2*x**2 + 1725*n**2*x wrt x?\nAnswer: -2234*c*n**2 - 8238*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 27, 0, 26098 in decreasing order.\nAnswer: 26098, 27, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1776)\/64 + 155\/(-124)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-1)\/(-2) + -1. Let m be (8\/14)\/(u\/(-7)). Suppose -4*t + m*t + 36 = 0. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*a - 10591 = 0, -5*n + 2*a = -2017 - 11216. List the prime factors of n.\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 11, 16, 126 in ascending order.\nAnswer: 0, 3, 11, 16, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 278776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/8)\/(1549\/(-6196)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6357 and 151.0712918.\nAnswer: -6205.9287082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 210528849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 + 3 + 3 + -47 + 77?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*b**2 + 14*b**2 + 9175*b - 18345*b + 9170*b.\nAnswer: 248*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 810902013 to the nearest integer?\nAnswer: 28476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:00 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-1 - 1) - -1. Let n be 66\/4*(-4)\/(-6). Let t be 0 + n - (-4)\/(-2). Calculate the greatest common factor of t and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31125.7? (a) 3\/2 (b) -4 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315419704?\nAnswer: 2, 131, 300973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76\/9*g**2 - 2\/9*g**3 - 640\/9*g - 1600\/9.\nAnswer: -2*(g - 20)**2*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -816994 * 0.36.\nAnswer: -294117.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-222)\/(-407))\/(-65*(-117)\/5577).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 - 28*g**2 + 38*g + 113. Determine d(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + z + 6 = 0, 2397*g - 2395*g + 4 = -2*z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 5. Let u be b(0). Let j be (3\/u)\/(1\/1). Let g = 39\/2 + -19. Sort g, 2\/3, j in increasing order.\nAnswer: g, j, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 213*v = 208*v - 172, 0 = 3*j + 3*v + 105 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**3 - 35*q + 2*q**3 + 48*q**2 + 47 - 48*q**2 - 12*q as t*q + k*q**3 + b + m*q**2 and give t.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5149 - -5145. Let s = -0.3 - -1.3. What is the nearest to s in -2, -3\/10, x?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35819990?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = 5*p. Sort -3, 5, p.\nAnswer: -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and 3827071111033?\nAnswer: 3827071111039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4765922 and 1288?\nAnswer: 19063688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 8. Suppose -3*a - 4*q - 3 = -12, 3*q - k = -a. Calculate the remainder when 10 is divided by -1 + 10 - 0 - a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17763 = -382*s + 385*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 473829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -302 - 4?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3841*a**2 - 1 + a**4 + 3841*a**2 - 5*a as g*a + t + r*a**3 + l*a**2 + n*a**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 + -8 + 153 + (21 - -2)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Suppose -2*z + m = -m - 2, -4 = 2*z + 4*m. Let s(q) = z + 2*q**2 + 0 - 6*q**2. What is s(o(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -155*x - 26*x - 2928 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 4*l + 6 = 0, 4 = -l - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzwzzzzwzzzzww?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1363800 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*d + 58, -6*d + 49 = -3*d - 5*o. Suppose d*h + 12 = 12*h. Let k(p) = -2*p. Let b be k(h). What is the highest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibbh when four letters picked without replacement from hhiihhbbbhbbhbh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/11 + 3757\/1001 + -3\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6.85 (b) -1 (c) 4 (d) 15 (e) -3\/5 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 22. Calculate the remainder when 118\/4 - h\/(-2) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1809 and 173463?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 30. Solve -4*y - 13 = -5*y + 4*k, -4*k + 7 = s*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, y: 4, c: 7}. Give prob of sequence cby.\nAnswer: 49\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0*d - 66. Suppose 3*s = 3*n - 2*s - 4, 4*n + 5*s - 52 = 0. Suppose -5*a + n = -d. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-184)\/(-28) - (240\/8)\/5)*1.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 209*q**2 - 845*q + 280. Determine n(-213).\nAnswer: -1211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3\/2 - 25*j**2 - 40*j.\nAnswer: -5*j*(j + 2)*(j + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5429718.\nAnswer: 2, 3, 7, 43093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1922\/17225 - -56\/1325. Let f = 28 + 30. Which is the smallest value? (a) f (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48 - (-1731)\/36)\/(2\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -17 - 28 + 16 - 151*x - 50. Let k(b) = 4*b - 1. Let q(y) = -2*k(y) - p(y). Find the first derivative of q(g) wrt g.\nAnswer: 143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1387 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33069007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w + 4 = 26*w. Let y be (12\/3)\/w - -67. Suppose 4*d - d - y = z, -5*z = 5*d - 140. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35651517 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Factor 10175*w + 4*w**3 + 21168 - 18732*w + 348*w**2 + 16621*w.\nAnswer: 4*(w + 3)*(w + 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 29*y**3 - y**2 + y - 1. Let w(n) = -n**2 + n - 1. Let t(i) = p(i) - 2*w(i). Does 7 divide t(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*v - 3*v. Let a be v*((-10)\/(-4) + 0). Let j be 1\/(6 - 3)*6. Solve a*z - j = -7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 659.41458 - 0.11458. What is i rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/9)\/(1\/9). Suppose 5*t - 50 = 4*p, -o = 2*t - 5*t - 2*p. Suppose 2*f = 8 + t. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 7, 49, 139, 295, 535, 877, 1339?\nAnswer: 1939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.0114 + -4. What is k rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sho when three letters picked without replacement from kyyohoosos.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a17494 - 5?\nAnswer: a1748f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f**3 + 3*f**2 - 6*f + 9. Let d be ((-6)\/(-4))\/(2\/(-8)). Let c(z) = 17*z**3 - 6*z**2 + 13*z - 19. What is d*c(o) - 13*m(o)?\nAnswer: 2*o**3 - 3*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -47\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 172*z = -3*v - 830, -4*v - 48*z - 30 = v - 44*z for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 238 + -224 - ((0 - -1) + 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*h + 27*h - 80. Suppose h + 10 = 5*d. Solve k = 2, 2*j + 5*k - 26 = -d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247632 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**4\/4 + 470291*u**3\/2 - 2257377*u**2\/4 + 423257*u - 94057 = 0.\nAnswer: 2\/5, 1, 188114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.5*31.\nAnswer: 108.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 456 and 21825564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2366, -10377, -23728, -42419, -66450, -95821?\nAnswer: -130532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 222 = -3*a, -y - a + 110 = y. Calculate the greatest common divisor of y and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/226 and -35\/2034.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from klenkccm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -1\/60*y**6 + 0*y**3 + 1\/12*y**5 - 4*y**2 + 0*y - 1\/12*y**4 + 0. Let g(p) = 0. Calculate p.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 11.1. Let p = -144 - -144. Which is the closest to t? (a) -5 (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -38\/10254141?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*1*sqrt(243) - sqrt(243)) + -4*sqrt(243)*-1)\/(-2*1*sqrt(729)))**2.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 74.5.\nAnswer: -74.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343817215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8380 by -5.\nAnswer: -1676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*w = -69. Suppose -71*y = -w*y - 12. Calculate the greatest common factor of 12 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 14. What is the smallest common multiple of l and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**5\/10 - 13*u**4\/12 + u**3 - 3*u**2\/2 + 37*u. Let l be m(-7). Solve -f + 5*d = 8, 2*f - 4*d = -14 + l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Let t = w - -2. Suppose t*o = -2*m - m + 90, -2*o - 60 = -2*m. What is the highest common divisor of m and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2781 and 12?\nAnswer: 11124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l\/(l\/l**(-8\/5))))*l**12*l*(l*l*l**(-6\/7))\/l*l*(l**(2\/21)\/l)\/l assuming l is positive.\nAnswer: l**(1117\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*k + 4*k - 20, 0 = -3*w - 4*k + 25. Let a = 2 - 2.2. Sort w, 0, a.\nAnswer: a, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8*t - 6. What is a(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1628?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(152) - 4*sqrt(152)*2)\/(sqrt(72)\/sqrt(144)))**2.\nAnswer: -29792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a*k**3 - 2*a*k**2 + 378*a*k + 3405*k**3 - 2*k wrt k.\nAnswer: 24*a + 20430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (180\/65)\/6*1\/3. Is -1 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0 + 2. Find the second derivative of 15*f - 14*f + 11*f**u + 12*f wrt f.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -192.06 + 192. Sort b, 5, -3, -3\/4 in ascending order.\nAnswer: -3, -3\/4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.40000196 + -6.4. Round a to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -50490*w + 3 - 4 + 50491*w. Let p(c) = -22*c - 7. What is 2*p(m) - 14*r(m)?\nAnswer: -58*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -502, -504, -506, -508, -510, -512?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*a**3 + 559*a**3 - 723*a**3.\nAnswer: -359*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15 - 241\/16)*24\/(-9). Let q = -7 + 15. Let p = q + -8. What is the biggest value in -0.3, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 12*u = -25. Let l(a) = -a**2 + 8*a - 2. Let h be l(7). Solve 5*m - h = -5*p, -2*m + 1 = -p + u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 * -9\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6194, 24784, 55768, 99146, 154918?\nAnswer: 223084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/99, 4, -0.04, 10 in decreasing order.\nAnswer: 10, 4, -1\/99, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 244480 divided by 3820?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, f: 10}. Give prob of picking 1 v and 1 f.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 - 11?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2\/12 - (-3)\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 3 (b) 25.267 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1008) + sqrt(1008))**2 + 1.\nAnswer: 4033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaay when four letters picked without replacement from axaxxyc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f + 11. Is u(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239102313511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1471649*y**3 + 1820*y - 343 wrt y.\nAnswer: -8829894*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 + 397*u**2\/6 + 589*u\/6 - 197\/3.\nAnswer: (u + 2)*(u + 197)*(2*u - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2928166 times -0.3\nAnswer: -0.08784498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/3)*w**(-1\/6))\/(w\/w**(5\/4)*w*w*w**5*w) assuming w is positive.\nAnswer: w**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51518 is divided by 161?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 7*a**2 + 4*a - 5. Let c be p(-6). Let k(o) = 4*o - 24. Let n be k(c). Suppose 0*v = n*v + 2960. What is v rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + 1. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-111)\/(-6) - (-1)\/2. Differentiate o**3 - 19*o - 5 + f*o with respect to o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 32*g**2 - 33*g + 2. Let o be t(-33). Suppose 4*l + 25 = 2*p + l, -5*p + 3*l + 40 = 0. What is the greatest common factor of o and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161063.\nAnswer: 7, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012 (base 4) in base 6?\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - (15 - 26)) + 5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*n = 18, -6*m + 170*n = 166*n - 74 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -785b960 + 5?\nAnswer: -785b957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -4\/5, -0.57?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + -1*(sqrt(180) + 2) - ((sqrt(500) - sqrt(500)*2*3) + 5)**2*5.\nAnswer: -62624 + 2494*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3791*l**2. Let j(t) = 12*t**2. Determine g(j(p)).\nAnswer: -545904*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01082166752 to 4 dps.\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**2 + 15582*m + 20233227 = 0. What is m?\nAnswer: -2597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/534 and 74\/63.\nAnswer: 11214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -1. Let g(r) be the second derivative of 0 - 1\/3*r**4 + 0*r**3 + 0*r**2 + 3*r. Determine g(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 193 - 193 - 6*l**3 + 4*l - l**4 to c*l + k + u*l**3 + f*l**2 + b*l**4 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*c + 9 = -3*s, 3*c = -5*s - 31 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1784, -26, -73, -2 in descending order.\nAnswer: -2, -26, -73, -1784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 2:34 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*l**3 - d**2 + 167*l**3 - 2*l - 29 wrt l?\nAnswer: -6*d**2*l + 1002*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from eeqsp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5024533\/477780 + (-2)\/(-5) - -1. Let w = -2\/7963 - i. What is the common denominator of 59\/44 and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 + 110 = p. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -66, -156, -302, -522, -834?\nAnswer: -1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + -88.062. Let d = s - -0.062039. What is d rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 k when four letters picked without replacement from yuumyyykkku?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/18 - (3478\/(-2115))\/(2\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -391802\/11 or -35617?\nAnswer: -35617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 - 78*x**2 - 541*x - 888. Let g(s) = s**3 - 26*s**2 - 180*s - 297. Let m(f) = 8*g(f) - 3*l(f). Factor m(d).\nAnswer: -(d - 32)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*(10 - 6). Let w be (1\/(3\/p))\/(10\/(-465)). What is the greatest common factor of w and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1003325?\nAnswer: 5, 67, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 - 4*o + 1. Let l(w) = -4*w**2 - 4*w + 1. Let g(b) = -2*l(b) + 3*s(b). Let q(j) = -j**2 - 20*j + 39. Let x be q(2). Calculate g(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -418839, -837680, -1256521?\nAnswer: -1675362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 494 in -2\/17, -19.278, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 75*v**2 + 65*v - 833. Let q be x(-76). Let a(h) be the second derivative of -1\/66*h**4 + 0 + 11*h - 4\/11*h**2 + 4\/33*h**q. Factor a(w).\nAnswer: -2*(w - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vxvvxxvvxxxxvxvvvx?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 4165.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 + 4.05. Let m be (54\/(-5))\/(-3) - 4. Which is the second biggest value? (a) 1 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*f + 173 - 45, -3*f + 128 = 4*g. Suppose 0*v + 12 = -3*v, -4*p - v = -g. Solve -p*o = -0*o + 45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-375)\/(-55) + (-1)\/11*-2. Let w(h) = -2*h + 7. What is w(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 88, 125, 154, 169, 164?\n\"Answer: -x**3 + 2*x**2 + 38*x + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/12 - 20\/(-6). Suppose -y*h + h + 3 = 0. Calculate the remainder when 5 is divided by (-2)\/(-3)*(h - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15506 is divided by 7753?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 1. Suppose -p = 4*g - 12, 6 = p + 2*g - a. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 3*u - 3*a + 6026 - 6075, -4*u + 3*a = -67 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 555383\/68 < 8166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + p + 72. Let n be z(-8). Suppose n = -4*h - 1 + 13. Calculate the smallest common multiple of 340 and h.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -543*m - 21. Let f(k) = 136*k + 5. Calculate -5*c(a) - 21*f(a).\nAnswer: -141*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-3\/7))*j**(-6)*j*(j*((j\/j**(-3))\/j)\/j)\/(j*j**(-6)))\/((j\/j**9*j)\/(j*j\/j**14*j))**(-17) assuming j is positive.\nAnswer: j**(494\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2060\/21 - 10\/105. Round l to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 11:32 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*g**2 - 142*g**2 - 127*g**2 + 414*g**2.\nAnswer: 45*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11754 = 4*y + 5*m + 11770, -3*m = -5*y - 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 5. What is r(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1770?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11920565*k*m**2 + 5652845*m**2 wrt k.\nAnswer: -11920565*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 20.01.\nAnswer: 8.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-125)*(10\/8 - 0).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = 3*l. Let h(t) = -t**3 - 5*t**2 - t - 3. Let k be h(-5). Solve 2*g - g**l - k*g + g = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (376\/(-14))\/(-4) + 8\/28?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65741221 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72962?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(13) + (sqrt(13) - (1 + sqrt(13))) + -2)**2.\nAnswer: -6*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 - 4*t**2 + 3*t - 10. Determine s(4).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, -468, 1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwywjjjwhtwstyhjw. Give prob of picking 2 y, 1 j, and 1 w.\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64 - (6 + 7 + -12)) + (3 - (2 - 3)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -29 (b) -4\/9 (c) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from ddhdddddddhdhhdhhd?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*v - 415, -4*v - 56 = 5*k - 453. What is the second derivative of -24 - 57*b - 25 + k - 175*b**2 - 16*b - 33 wrt b?\nAnswer: -350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**6\/120 + v**5\/60 - v**4\/24 + 8*v**2. What is the units digit of r(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6346\/593 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1086 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -67597, -67607, -67617, -67627, -67637, -67647?\n\"Answer: -10*l - 67587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t. Let s(d) = 21514*d**2 + d - 2. Determine v(s(f)).\nAnswer: 193626*f**2 + 9*f - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2214, 3089, 4548, 6591, 9218, 12429?\nAnswer: 16224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-33) - ((-578)\/(-88) - (-47 - -54)). Let v = -151 - -1055\/7. Which is the closest to 1? (a) x (b) 3 (c) -1.5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43303348 to the power of 1\/2, to the nearest integer?\nAnswer: 6581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18220 - 108671\/6. Let n = z - 122. Calculate the common denominator of n and -67\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 7*v - 6. Let m(f) = -f**2 + 6*f + 5. Let o be m(4). Let a = -27 + 18. Let c = a + o. Determine y(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 23*d**7\/210 + d**5\/30 - 36*d**3 + 183*d**2. Differentiate b(v) with respect to v.\nAnswer: 92*v**3 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 1, l: 2, x: 12, m: 2}. Give prob of picking 1 q and 1 m.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*w - 2332 + 412 = 0 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*s + 15*s - 2146 + 2134)*(3*s**2 + 3*s**2 - 5*s**2).\nAnswer: 32*s**3 - 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d**3 + 2*d**3 - 4*d**3)*(5 + 1 - 5)*(-3*d - 3*d + 4*d) + 16*d**4 + 257*d**3 - 257*d**3 to p*d**3 + r*d**4 + y*d + l + v*d**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70255837 to the nearest integer?\nAnswer: 8382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 9\/(-3) + 2. Let f(w) = -w**2 + 4*w + 1. Let m be f(x). Suppose 0*q + m = q. Solve 2*y = q*y + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 + 1. Let b(l) = l**3 - 3*l**2 - 1. Let d(w) = -2*b(w) - 3*u(w). Let y(r) be the first derivative of d(r). Let j(f) = f**2. Determine y(j(h)).\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*r + o, 3*o - 16 = 7*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3066103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -35)\/(6\/4). Suppose -j = 3*g - 13*g. Solve -2*l = 2*m + 4, 6*l = -5*m + g*l - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*v - 52 = 0, 0 = 2*q - 4*v - 3 - 13. Let g be ((-30)\/(-14))\/((9435\/31598)\/85). What is the highest common factor of g and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113272800 divided by 1039200?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 15*y - 18. Let u = 2 - 6. Let l(d) = d**2 + d - 2. Let z be l(u). Does 15 divide a(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, e: 1, k: 9, t: 1, h: 4, p: 1}. What is prob of sequence et?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 4, i: 5, o: 5, w: 1}. What is prob of sequence il?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-735)\/1225*(4\/2)\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 48546, 48548, 48550?\n\"Answer: 2*p + 48544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*(3 + (sqrt(275) - sqrt(275)*3) - (1 + 2*sqrt(275)))*3)**2*-6.\nAnswer: -6421032 + 116640*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109*d*v**4 + d*v**3 - 2*d*v**2 + 158*d - 1 wrt v.\nAnswer: -436*d*v**3 + 3*d*v**2 - 4*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 821 = -5*h, 5*h - h - g - 661 = 0. Suppose -h = -2*y + 2*i + i, 4*y + 2*i - 338 = 0. Calculate the greatest common factor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 37 = -3*p, -7*f - 2*p + 62 = 35. Let j(z) = -27*z**2 - 5*z - 5. Let b(n) = 55*n**2 + 11*n + 11. Determine f*b(y) + 11*j(y).\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 8*x)*(0 + 1 - 2)*(-220*x - 346*x + 257 - 125 - 130).\nAnswer: -4528*x**2 + 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -144*25\/(-18000)*(-2*3)\/2\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167772 is divided by 6887.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 23 + 14 = 0. Let p be (u + 1)*6\/12. Let f be (3 + p + 0)\/2. Solve 2 + f = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51967 > 51965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1812, -7198, -16170, -28728, -44872?\n\"Answer: -1793*y**2 - 7*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 7*o = 5*o. Suppose 0 = 7*m - o*m. Suppose -3*w = c + w + 6, 0 = c - 5*w - 12. Solve c*g + m = 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(1 + 1) - 2. Let d be (-5)\/(-180) + t\/8. Suppose 0*j + 2*v - 8 = 4*j, 3*v = -2*j + 4. Which is the second smallest value? (a) d (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.91 - 1.81. Sort s, -4, 3 in decreasing order.\nAnswer: 3, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 16 = g. Let m be 4*(-1)\/(g\/(-5)). Which is the nearest to -2\/5? (a) 1 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 13936057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 10 + -11 - 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5494969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m = -36. Let z be 3\/(m\/2 - 3). Solve z*d - 7 = 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5 = 2*f - 1, -5*f - v = -1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5 + 1\/5*k**3 + 0*k**2 - 3\/5*k = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 2*d. Suppose 4 = 2*p - 3*p. Is 13*((-4)\/p - d) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-55 - (-102 + 37)) + 2 + -8 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 11*y + 12*y - 8*y - 15*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93.65 + 1.65. Let s = g + 90. Suppose 5*o - 4*o - v + 1 = 0, -5*o - 5*v = 5. Which is the nearest to o? (a) -1 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1768, 1781, 1794, 1807, 1820?\n\"Answer: 13*x + 1755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 3:08 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 713 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22644*b + 22683*b + 27*b**2 - 1 - 45293*b)*(-4*b**2 - 2*b**2 + 5*b**2) to y + m*b + g*b**4 + u*b**3 + v*b**2 and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*z + 32. Let f be z - 4 - 1*3. Suppose -10*i + f*i = -95. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*p*q**2 - 67*p*q - 76*p - 5*q**2 - 215 wrt q?\nAnswer: 50*p*q - 67*p - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*t**2 - 294*t**2 + 18*t**2.\nAnswer: -613*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -14 and -1.139331.\nAnswer: -15.139331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5767*x**2 - 11704*x + 340.\nAnswer: (x - 2)*(5767*x - 170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 2 = -8*a - 2*g, 6*a + 38*g + 45*g - 26 = 81*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50217313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 319515467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 6, s: 1, p: 3, e: 3, j: 1}. What is prob of picking 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 4*z. Let v(h) = -1. Let l be (3\/6 - -2)*(7 - 9). Let o(a) = l*v(a) - m(a). Give o(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 60*n + 15*n - 124*n + 40 + 16 to the form c + b*n and give c.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00528 rounded to 4 dps?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, b: 2}. What is prob of sequence tbbt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 2*y + 8, -5*a - 4*y = -0*y + 16. Let t(j) = a*j - 2*j + 129*j**2 - 1 - 127*j**2. Determine t(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -804 - 400 = -86*b. Sort 0, -5, 6, -1, b in decreasing order.\nAnswer: b, 6, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.8 - -0.8. Let q = -697762\/27543 - -2\/9181. Let d = 26 + q. What is the third biggest value in p, d, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7 - 40*q**3 + 3 + 39*q**3 + 18 wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18044, -36076, -54108, -72140?\n\"Answer: -18032*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**8\/1008 - o**7\/315 + o**6\/360 + o**5\/90 + 33*o**2. Let i(v) = 0. Calculate v.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**5\/15 + 142*y**4\/15 + 874*y**3\/5 + 18122*y**2\/15 + 8768*y\/3 + 1880 = 0.\nAnswer: -47, -10, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 4*d + 3. Let p be q(-5). Let u = -9969\/7 + 1424. Which is the closest to 0.1? (a) p (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*x + 2 = 0, -2*f - 2*f = 3*x + 1. Let w = -0.8 + 1. Let q be (-156)\/(-1365) - 2\/(-7). What is the nearest to f in w, q, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -135*t**2 + 24 - 2*t - 8 + 4 - 12 - t**3 - 6 as m*t**3 + o*t**2 + d + f*t and give o.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -7. Let j = -0.9 - a. Which is smaller: 0.04 or j?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 64 + 76 = 3*w, 2*m - 12 = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/162 + -319\/810. Sort 5, -1\/9, k.\nAnswer: k, -1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 15 = 65. Let o(b) = b**3 - 7*b**2 + 7*b + 12. Let g be o(4). Let y = g + n. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**4 - 2*y**3 - 17*y + 3*y**4 + 24*y + y**2 + 8*y**4 - 16*y to the form q + c*y**4 + u*y**3 + i*y + x*y**2 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:02 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79806 and 10?\nAnswer: 399030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -528 - 514 + 4006*q + 1042 to the form t + d*q and give d.\nAnswer: 4006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a factor of 79158707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 8*c + 7. Let y be d(-9). Suppose 8 = -3*s + s. Put y, s, -3 in decreasing order.\nAnswer: y, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.56 - -0.96. Let q = 738.3958 + -730.795898. Let k = q + j. Round k to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450*v**3 - 231*v**3 - 224*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*q + 670, o + 2*q + 870 = 5*o. Let m = o + -214. Solve 3 = -3*w + m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 2. Let g be l(5). Let j = 56 - 50. Let m(z) = 12*z - 16*z + j*z - 5 + 3 + 2*z**2. Give m(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 85*i - 3 + 32*i + 10 - 20 in the form g + b*i and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 5:52 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 - (91 - (-35 + -39))?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -2, -3804 in decreasing order.\nAnswer: -1, -2, -4, -3804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90417 to the power of 1\/2, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.86 - -0.46. Suppose -12 - 28 = -5*y. Let p = y - 3. What is the second biggest value in p, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/2? (a) -4 (b) -24 (c) 1\/4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3 = 75. Calculate the greatest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6683086 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65587401 by -891.\nAnswer: -73611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 639166 (base 11) in base 14?\nAnswer: 1c8849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 - -4)\/12)\/((-3)\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*f + 2*f = 140, 5*z = -3*f + 350. Suppose r = -4*r + z. Let g = r + -9. What is the highest common factor of 15 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -629\/15 - -42. Let r(z) be the second derivative of -4*z + 1\/15*z**4 - 1\/50*z**5 - 2\/5*z**2 + k*z**3 + 0. Determine o, given that r(o) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 0.1, 3\/2, 2\/5, 16, 3, 2\/7 in descending order.\nAnswer: 48, 16, 3, 3\/2, 2\/5, 2\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v. Let f be n(-4). Calculate the greatest common divisor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/48)\/((-6)\/(-42))*56\/(-14).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24 + 7*q + 68 + 307 + 72 + (0 + 5 - 6)*(2*q - 4*q + 4*q).\nAnswer: 5*q + 423","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q + 23. Let v be g(6). Suppose 3*m = -i - 5, 4*m - 9 = 4*i + 5*m. Let x be 0 + (-55)\/i*(-2)\/(-1). What is the highest common divisor of v and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvxxvxvxvv. What is prob of picking 1 v and 3 x?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12883.5820112 + -12892.582. Let l = -9 - o. Round l to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -42.01. Let c = g + -2.01. What is the fourth smallest value in c, 4, 1, 3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/534 and 93\/722.\nAnswer: 192774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3126.\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.042 - 7.242. What is the nearest to -16 in -4, -0.01, 0, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 6 + 18. Let f be (14\/(-6))\/(2\/r). Suppose 2*m - 3*h + 6 = -6*h, -4*h = -4*m + 8. Solve -3*q - f = s - m, 0 = -4*s - 3*q - 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n - 8. Let u(y) = -4*y + 6. Let d(b) = 3*s(b) + 4*u(b). Suppose 0 = 4*w + 1 + 3. What are the prime factors of d(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 3*y + 59, -4*b - 89*y = -84*y + 69 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (7 + -19 - -8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(-144*f + 144*f - 16*f**3) + 0*f**3 + 3*f**3 + 5*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 212795, 5, 3, -2, 8, -1 in decreasing order.\nAnswer: 212795, 8, 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*z**3 + 1563 + 36*z**3 - z + 24*z**5 - 645 + 1531 + 136 wrt z?\nAnswer: 480*z**3 + 570*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 250798 and -0.1.\nAnswer: -25079.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + (-4*1*sqrt(85) + sqrt(85))\/sqrt(5) - (1 + (sqrt(17) - (-2 + sqrt(2448)))*-1)**2).\nAnswer: -2055 + 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from frgurfrf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**3 - 4*s**2 - 20*s. What is b(6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 8, 4*z - 59 = 5*m - 3. What is the remainder when 35 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3752)\/84*((-343)\/4 + (-10)\/8). What is the highest common factor of 1742 and q?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 179*j**5\/20 - 13*j**4\/3 - 5*j**2\/2 - 67*j + 2. Find the third derivative of h(d) wrt d.\nAnswer: 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 77*h + 68*h - 38 = 0, -5*j - 68 = -h - 20 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -28*t**2 - 8*t - 7. What is h(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2350 is divided by 165?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 290, 1171, 2634, 4667, 7258, 10395, 14066, 18259?\n\"Answer: -2*v**3 + 303*v**2 - 14*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 10*f**2 + 130*f - 35. Let d be t(-13). Is d less than or equal to -1217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -33*r**4\/4 + 2*r**3\/3 - 3*r**2\/2 - 3*r + 1350. Let t(i) = 33*i**3 - 2*i**2 + 4*i + 4. What is -4*q(g) - 3*t(g)?\nAnswer: 33*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*o + 71, 0*h - 3*h = -3. What is the remainder when 66 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1640.2885 times 0.2\nAnswer: -328.0577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdt when three letters picked without replacement from tdtttdtd.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*-362.\nAnswer: -15928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + g**2 - g - 2. Let j be n(-1). Factor 5*h**3 - 17*h**3 + 10*h - 12*h - 8*h**j - 2*h**5 - 8*h**4.\nAnswer: -2*h*(h + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 282511 and 2128?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1284\/5992)\/(2\/(-14))*1\/12?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17, 458\/7, 1\/5, 3\/2?\nAnswer: 458\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 14*p + 11. Let k(a) = a**3 + 7*a**2 - a - 5. Let m be k(-7). Let c(g) = -4*g - m + 9 + 0 + 13*g. Calculate -8*c(o) + 5*d(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 170334*w**3 - 4*w**2 - 74*w - 161 wrt w.\nAnswer: 1022004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22864?\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -54*-4\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**4 + 3*r**4 + 0*r**4 + (2*r**3 - 4*r**3 + r**3)*(r - 4*r + 5*r) - 4*r**2 + 4*r**2 - 2*r**4 - 6*r**2 + 6*r**2 + 3*r**4.\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 209 - 438 + 8*p**3 + 108 + p wrt p?\nAnswer: 24*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -3*v + 3*k, 16 = -v + 3*k - 20. Let q = 23 + v. Suppose -4*z + 2*h + 90 = 4*h, q*h - 110 = -5*z. Calculate the remainder when 37 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14275766?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 13*h. Let u be 1\/(-2)*24\/90*3. What is the fourth biggest value in h, 4\/3, u, -2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/18 - ((-6223)\/63 + -6) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (0 + -5 - -12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 9*t - 6. Solve -t*v - 5*q + 10 = 0, -4 - 6 = -2*v + 4*q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -113.371757 times 0.1\nAnswer: -11.3371757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 853208399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 32, 1, 119\/6, 3, 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 2*i + 1. Let a be d(1). Let f(z) = -4 + 6 - a. Let u(n) = -6*n - 29. Let q be u(-4). Let x(g) = -2*g - 5. Calculate q*f(v) - x(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -118?\nAnswer: -11\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 4 + 2)*(44*j - 242*j + 29*j).\nAnswer: -1352*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 917, 823, 727, 629, 529, 427, 323?\n\"Answer: -h**2 - 91*h + 1009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*2 + 0)**2 + sqrt(17)*-2 + -4.\nAnswer: -2*sqrt(17) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -387678 divided by -87.\nAnswer: 129226\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51 in 1, 2\/3, 0.18, -3, -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(660)\/(sqrt(72)\/sqrt(6)) - 2*sqrt(880))\/(-2*sqrt(33)\/((sqrt(3) - sqrt(18)\/sqrt(6)) + sqrt(3))).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 128, 189, 248, 305?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 2*v**2 + 3. Let m(h) = 36*h**2 - 4*h - 3. Let p be m(-1). Let i = p + -40. Let o(a) = -a**2 + 1. Calculate i*o(g) + t(g).\nAnswer: -g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s + 12. Suppose -h = -m - s*h + 10, h = -m + 6. Let r = -0.2 + -0.3. Which is the third biggest value? (a) -2 (b) -4 (c) r (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115267 divided by -2254?\nAnswer: 115267\/2254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12188 is divided by 677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18624 - -18633. Let f(u) = 2*u**3 - 16*u**2 - 20*u - 8. Calculate f(z).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 4 + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 111232 (base 4) to base 16\nAnswer: 56e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 12. Suppose 2*o - 14 = -3*y, -2*y + 5*y = -5*o + g. List the prime factors of (-1)\/(o\/(-12) - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3478500 and 1217475?\nAnswer: 24349500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjsuceepjjus. Give prob of picking 1 c, 1 u, and 1 j.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -31 (b) -3 (c) 4\/5 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8*w + 11. Let r(v) = 3*v - 4. Let l(y) = -11*r(y) - 4*u(y). Let p(k) = 13*k - 11. Let q(h) = -7*h + 6. Let i(z) = -6*p(z) - 11*q(z). Give i(l(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -3*f**4\/2 + f**3\/3 + 2. What is the third derivative of r(h) wrt h?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 0 + -1 - -12. Suppose 4*d = i - 2. Solve 0 = -d*w - v + 4*v - 2, 0 = 2*v - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -543993+-0.05\nAnswer: -543993.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -1, -15\/4, -0.2, -22, -0.1?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**42\/k)\/(k\/(k\/(k\/(k*k**(-3\/7)*k))*k)) assuming k is positive.\nAnswer: k**(298\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8874, 8875, 8876, 8877, 8878, 8879?\n\"Answer: j + 8873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeieeeaeesarieia. Give prob of sequence ie.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 416 and 520.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 18. Let p be o(-8). Solve -4*f + p*u = -2*u + 16, -2*u + 10 = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -292a674 (base 11) to base 14\nAnswer: -9513ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, and 2 b when four letters picked without replacement from {y: 2, c: 1, w: 1, f: 1, b: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38201, -152823, -343869, -611345, -955257, -1375611, -1872413, -2445669?\n\"Answer: -f**3 - 38206*f**2 + 3*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40576 in 2, 4\/3, 643\/4?\nAnswer: 643\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 take away 7818.982848?\nAnswer: -7730.982848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbem when four letters picked without replacement from vmddebdvmybmv.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -945504 divided by -8?\nAnswer: 118188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**3 - 1208*i**2 + 65348*i - 242320 = 0.\nAnswer: 4, 65, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 9*g + 5 = 0. Is 18 a factor of -13*(g + -2) - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 - 3*q**2 + 4*q**2 - 2*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -483 - 4?\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 196 = -33*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8414 and 623.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-15)*2\/4)\/(1515\/18180)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 611 and 1030185?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 350 = 46. What is the remainder when 114 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x. Let q(o) be the third derivative of o**5\/60 - o**3\/2 + 2*o**2. Let l(g) = -4*g**2 + 11. Let v(i) = -6*l(i) - 22*q(i). What is w(v(z))?\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 14*n - 28. Let v(g) = -5*g + 9. Let j(o) = 2*u(o) + 7*v(o). Let a(z) = 6*z - 6. Give 6*a(r) + 5*j(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3745 = 81*k - 1358. Which is smaller: 62 or k?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3*q**2 - 2)*(-5*q + 18*q - 12*q - 24) to the form l*q + r*q**2 + j + x*q**3 and give r.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 5. Let n(x) be the second derivative of -x**2\/2 - x - 197. What is -3*n(f) + o(f)?\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -520.756388 to one dp.\nAnswer: -520.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 125 = 13. Suppose -3*g = -2*z - j, 0 = 2*g - 0*z - 4*z - 20. Suppose 80 - 32*h + 5*h**2 + g*h - 26*h = 0. Calculate h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0 - 1. Let c be 1 - (2 - (j + 1)). Let x be (0\/2)\/(1\/1). Put 3, c, x in decreasing order.\nAnswer: 3, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z - 2. Let g be t(2). What is the remainder when 10 is divided by g + 3*4\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 24*g - 132. Calculate n(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*r - r. What is the tens digit of (-14)\/35 - (-57)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 567676 and 556.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1281 - 1832 = 283*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -43. Suppose -8 = s - q. Calculate the greatest common divisor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0499 and 4.\nAnswer: 3.9501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(159\/(-12296))\/(6\/(-8)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409094 - -557?\nAnswer: 409651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/44 - 178\/(-11). Calculate the greatest common factor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2555070 + 1649893 - 3000393 = -10*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -396, -899, -1604, -2511, -3620?\nAnswer: -4931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1 + f)*(-147 + 35 - 13)*(-2 + 3 - 3).\nAnswer: 250*f + 500","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*q + 77924 = -190*q. List the prime factors of q.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*w + 34, -h - 6*w = -w - 40. Suppose 5 = 16*t - 21*t. Calculate the remainder when h is divided by t + 3 - 10\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -235718*u**3 + 745*u**2 + 745*u + 745. Let i(b) = 1901*b**3 - 6*b**2 - 6*b - 6. Give -745*i(t) - 6*l(t).\nAnswer: -1937*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -59 - 84. Calculate the remainder when 505 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 10 = -4*y, -36 + 6 = y - 3*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 24. Suppose 5*k - 28 + d = 0. Solve 0 = 5*u - 20, 4*c + 32 = 4*u - k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*q**2 - q + 1\/2*q**3.\nAnswer: q*(q - 2)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 2 + -4 + 5. Let d(n) = n. Let k(b) = -5*b. Let v(p) = t*k(p) - 4*d(p). Let u(w) = w. Calculate u(v(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 8:16 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-1*sqrt(440))\/sqrt(8))\/(sqrt(605) + (-1*sqrt(605) + sqrt(605) - sqrt(605)) - 4*(sqrt(5) + (sqrt(5) - sqrt(5)*1))))**2*1.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 3389 - 6746 + 3357.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2 - 137. Let u(w) = -w**2 + 34. Determine -2*q(o) - 9*u(o).\nAnswer: -o**2 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a + 171 + 164 - 425 - 81 + 171.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11b41 - -b?\nAnswer: -11b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 16*b - 60 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/31 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (2*sqrt(68)*-3 + sqrt(68)))\/(3*sqrt(100)).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**2 + 2*h. Let i(a) = 11*a**2 - 5*a. What is -6*i(c) - 14*l(c)?\nAnswer: 4*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -173298.5 rounded to the nearest one hundred?\nAnswer: -173300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 391.2167t to micrograms.\nAnswer: 391216700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149*d**3 - 64*d**2 - 3*d?\nAnswer: 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000034271 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 28*v - 26*v - 1 - 4. Let b be x(5). What is p in 2*p**3 + 2*p**2 + 5*p**3 - b*p**4 + 7*p**4 - 3*p**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -15*t + 107. Suppose -6*d + 3*d - 4*z = -33, 0 = -4*d - 3*z + 37. Let k be p(d). Solve 9 = k*v + 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 4*d - 6*o - 48, -16*d - 4*o + 5*o - 24 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/89899 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q**2 + 173*q - 95. Let d be n(34). Let k(g) be the first derivative of -g**3\/3 + 7*g**2\/2 + 7*g + 1. What is k(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y - 245. Suppose 118 = h + y. Suppose -8*a + 1062 = 918. What is the remainder when h is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*u - 3*u = 19, 6 = -2*z - 4*u. Which is the fourth smallest value? (a) -0.02 (b) z (c) 0.2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1752790\/3 or -584262?\nAnswer: -1752790\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -443*l**6 - 1020*l**4 - 7*l**3 - l**2 - 10105158*l - 2 wrt l.\nAnswer: -53160*l**3 - 24480*l - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 283, 674, 1221, 1924?\nAnswer: 2783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 38. Is -5 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 14*t - 35. Let f be w(-10). Suppose -5*n = j - 87, -11 - 73 = -f*n - 2*j. What is the greatest common divisor of n and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 243106233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2 + 3. Let x(a) be the third derivative of -a**5\/4 - 4*a**3\/3 - a**2. Let m(r) = 3*x(r) + 8*z(r). Let c(n) = 1 - 4 + n + 3. What is m(c(d))?\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110376 * 0.3.\nAnswer: 33112.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -55?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 4*h + h + (22 - 8 + 14)*(h + 4*h - 4*h).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61253783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -833, -868, -917, -986, -1081, -1208, -1373?\n\"Answer: -g**3 - g**2 - 25*g - 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3562 - 1544 + 1002 = 114*l for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 901675.2l?\nAnswer: 901675200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774754.\nAnswer: 2, 53, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 48.2. Let w = -0.1 - j. Which is the closest to w? (a) -1\/4 (b) 1\/4 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-17 - (-4 + 13)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71.3 + 63.3. Sort j, 4\/7, 4.\nAnswer: j, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(-264) - (-32)\/(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 10. Let y be i(-7). Let s = 2 - y. Sort 0, s, 1 in increasing order.\nAnswer: s, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8273428*o**3 - 6*o + 1209062?\nAnswer: 49640568*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.62004 kilograms to milligrams.\nAnswer: 87620040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 plus 14655.6?\nAnswer: 14536.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11736189 or 11736191?\nAnswer: 11736189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 90\/55*242\/858\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 22*p**2 - 18. Let t be c(22). What is the hundreds digit of 240 - (-36)\/(-2)*t\/(-108)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101220000122 (base 3) to base 11.\nAnswer: -137048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 42315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-14)*(2 + 14\/(-7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -368.7, 2\/3, 2\/11, -0.1, -3 in descending order.\nAnswer: 2\/3, 2\/11, -0.1, -3, -368.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 358, 1097, 2328, 4051, 6266, 8973, 12172?\n\"Answer: 246*n**2 + n + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3020 - -12?\nAnswer: 3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 67. Let s = b + -27. Let p = 1 - 1. What is the nearest to 0.1 in 1\/4, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 2*w + 25*w - 8*w - 10*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27\/81)\/((-2)\/(4\/(-3))). Let t(g) = -g**3 - 2*g**2 + 3*g. Let x be t(-3). Which is the third biggest value? (a) x (b) 1\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 100*t**3 + 93.\nAnswer: 100*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -ae6219 (base 15) in base 12?\nAnswer: -2954820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in 1, 2, -16, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 - 4*t. Let w(l) = -6*l - 2*l + 10*l - 3*l. What is j(b) - 4*w(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -5*r - 85, 52822*g = 5*r + 52823*g + 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 7*p - 25. Suppose -180 = -5*t + 5*z, p*t - z - 189 + 36 = 0. Let r = 108 - t. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m - 18. Let z(p) be the second derivative of -p**3 + 4704*p. Give z(y(i)).\nAnswer: -12*i + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + 0 + -6 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 6)*(-2398*o**4 + 2318*o**4 - 4*o - 41*o).\nAnswer: -240*o**4 - 135*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -3132?\nAnswer: 3136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3124 is divided by 323?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*q**6*y - 4169*q**3*y + 8*q**2 + 6*q*y + 3*q + 672*y - 2 wrt q.\nAnswer: 6480*q**3*y - 25014*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*(sqrt(76) - 3*1*sqrt(76)))\/((sqrt(4) - (sqrt(4) - sqrt(144)\/sqrt(4))) + sqrt(4) + (sqrt(484)*-1 - sqrt(484))).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 12:51 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - c**2)*(-c**2 + 3*c**2 - 4*c**2) + 0*c**4 - c**4 + 2*c**4 - 2*c + c**4 + 2*c + c**4 + 7*c**4 + c**4 + 6*c**4 - 2*c**4 - 3*c**4.\nAnswer: 14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 101525931 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 2473a3?\nAnswer: -2473a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10350 (base 7) in base 3?\nAnswer: -10112200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*z**2 - 2*z**2 - 6*z**6 - z**6 wrt z.\nAnswer: -840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 - 3*z**3 + 4*z**3 + z**3 - 4 + 4 + (-6*z**3 + 2*z**3 + 2*z**3)*(0 + 1 + 0))*(33*z + 33*z - 48*z).\nAnswer: -54*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*k**3 - 17369*k + 1043726.\nAnswer: -117*k**2 - 17369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3115788, 12463212, 28042252, 49852908, 77895180?\nAnswer: 112169068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 1. Let n be m(1). Suppose a - n = -0. Suppose -f + 10 = -a*d - 6*f, 2*d = 3*f + 22. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 39*b**2 - 172*b - 3. Give i(-43).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 22*l**2 + 21*l + 49. Let z be c(23). Solve 0 = -4*p + 5*n + 11, -17 = -2*p - z*p + 3*n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -13, -378, 4, -3, 3, -11 in decreasing order.\nAnswer: 18, 4, 3, -3, -11, -13, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2375*o**3 + 6*o**2 - 169121?\nAnswer: -7125*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + -64.8. What is the closest to -1 in 0.5, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -589448*b**2 + 328010*b wrt b?\nAnswer: -1178896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2110489167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - -3) + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51013560 divided by 24063.\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(10\/11)*f**(1\/36))\/(f**(5\/12))**(-10\/9))**(-3) assuming f is positive.\nAnswer: f**(-691\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + 7 - (1 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3920668 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 133291117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -4.9. Let j = -2.86 - -1.86. Which is the nearest to 1\/35? (a) v (b) j (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from engggeeneenne. What is prob of picking 3 n?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + 0.44. Let g(d) = d**2 - 17*d - 312. Let i be g(28). What is the biggest value in l, 2\/3, -0.3, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*o - 44*o + 18 + 2)*(-4*o**2 + 4*o**2 + 4*o**2) in the form t*o + b + p*o**3 + d*o**2 and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 + 1892*s**3 + 500472*s**2.\nAnswer: -4*s**2*(s - 662)*(s + 189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 - 49. Let p(o) be the first derivative of 0*o**4 + 2 - 2\/5*o**5 + 0*o**2 + 0*o + 2\/3*o**x. What is the third derivative of p(s) wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) -0.4 (c) 11.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2 - 5 + 33*c**2 + 1 - c - 23*c**2. Let q be a(2). Calculate the greatest common factor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -10 (b) 0.3 (c) 48 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-3)\/2*(-102)\/765).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*-22*(-24)\/8712?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -198*x**2 - 180*x - 609.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g - 39. Suppose 0 = -z - 2*z - 3, -2*z = -j + g. Suppose 4*p - 31 = -j. Put -4, -5, p in descending order.\nAnswer: p, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v - 37*v = 20. Solve -2*i = 3*q - 2*q + 11, -v*i = 3*q + 28 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2808178*h**2*n**2*w + h**2*n**2 - 23*n**3*w - 37722982*n**3 with respect to w.\nAnswer: -2808178*h**2*n**2 - 23*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 11*z**2 + 33*z**2 + 432*z - 14*z**2 - 616 - 132*z.\nAnswer: 4*(z - 2)*(z + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.34958 + -0.35. Round q to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = -137*f + 115*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28793.9115 - -0.384.\nAnswer: 28794.2955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -959780, -3, 4, -1?\nAnswer: -959780","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23602*g - 528885 = -28201*g for g.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148409460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4947037 is divided by 2473203.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09166 take away 222752?\nAnswer: -222752.09166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 361.63 + -360. Round c to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-357.4922\nAnswer: -357.0922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 1. Let b = 0 - -2. Let y(g) = g - 1. Let q be y(5). Let d = q - b. Determine n(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 19) + (34 - 46) + -4 + 2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 121629977*z**4 + 90316811*z**2 wrt z?\nAnswer: 2919119448*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pggg when four letters picked without replacement from {a: 7, j: 3, g: 2, p: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, b: 8, y: 6}. Give prob of picking 2 y, 1 r, and 1 b.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14212 (base 5) in base 13?\nAnswer: 6cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 2, k: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247507270?\nAnswer: 2, 5, 24750727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179341469.\nAnswer: 3, 139, 942719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*k**2 + 233*k**2 + 274*k**2 - 1050*k**2 + 273*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 772760746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/6*(-81)\/270*-35.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:22 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 4708?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476*m = 488*m - 410268. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18260 and 0.4567?\nAnswer: -8339.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39611 by 2.\nAnswer: 39611\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1262, -2 in ascending order.\nAnswer: -3, -2, 1262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 109 = -99. Which is smaller: 2\/249 or u?\nAnswer: 2\/249","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2260 + 2263. Suppose -1 - 2 = -3*s. Solve -s = 2*o - n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 105, 108, 113, 120, 129?\n\"Answer: h**2 + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**5\/40 + 65*f**4\/24 - 66*f**3 - 2268*f**2 - 723*f. Let s(h) = 0. What is h?\nAnswer: -7, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 17*d + 8. Let s be c(6). Let z(y) = -y**3 - 3*y**2 + 5*y + 6. Let x be z(-4). Suppose x*w - s = -0*w. Does 21 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/12 + 1)*-18. Let v be (1 + -3)*x\/(-4) - 400003. What is v rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23794712?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 i, and 1 g when four letters picked without replacement from iipsiiisppspsgips.\nAnswer: 15\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 32 + (15 + -11 - -14).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -120, -240, -360?\n\"Answer: -120*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7 = -4*j, -5*j - 5 = -3*h - 23. Solve 5*k = j*l - 21 + 3, 1 = 4*l + k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5108?\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.82397 to 1 decimal place.\nAnswer: 82.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(75)\/(1*sqrt(5)) - (sqrt(60)\/sqrt(4)*4 + sqrt(15)))\/(sqrt(54)\/sqrt(18) - -1*sqrt(432)).\nAnswer: -3*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*i - 28146 = 2814 for i.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 5) + -1 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89 - 54. What is the highest common divisor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*p, 3*p + 3*u - 3 = -p. Suppose -1 + 3 = k, 0 = -2*b + 4*k - 32. Let q be (9\/b)\/((-15)\/8). Sort q, 1, p in increasing order.\nAnswer: p, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 50*w + 49. What is the closest to w in 3, -0.26, 1\/5?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2*a + 10 = 3*v, -4*v + 15 = 3*a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 4*t + 19. Let z be b(-8). Let k = z - 65. Suppose -5*c - k = -5*i + 85, -4*i + 132 = 4*c. Calculate the highest common divisor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -1\/6 (c) 1.4 (d) -1\/44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3394 + 13*u - 1699 - 1695.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 10*s**2 + 56*s - 375. Determine r(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1523590956 rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 19*z = -33204. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, v: 1, g: 4, z: 2, q: 4, o: 1}. Give prob of picking 1 v and 1 o.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.375669 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 - 8*n**2 - n**3 + 8*n**2.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w - 133. Let m(v) = 4*v + 134. Let t(x) = -5*m(x) - 4*u(x). Let g be t(-16). Let f(p) = p**3 + 9*p**2 - 11*p - 15. Calculate f(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1370, 2745, 4122, 5501, 6882, 8265?\n\"Answer: j**2 + 1372*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -256, -1, -4, -0.288, 2 in descending order.\nAnswer: 2, -0.288, -1, -4, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -55\nAnswer: 26\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 l when three letters picked without replacement from xztnznlt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4 - 1.9. Let r = 1.2 - 1.44. Let s = 0.06 - r. What is the third biggest value in s, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -120\/61?\nAnswer: -120\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -25. Let c = v - -25. What is the remainder when c is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 26*h**2 + 7*h + 8. Let z(u) = -u**3 - u**2 + 2*u + 2. Give -v(p) + 3*z(p).\nAnswer: -2*p**3 - 29*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12491 in 2\/21, 1\/6, 14, -0.1, -2\/7, 2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -6*s + 3*s, -31*c + 150*s - 147*s = 99 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168856, -337711, -506566, -675421?\nAnswer: -844276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10230750 + 34989174731\/3420. Let a = 4\/855 + y. Find the common denominator of -13\/45 and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 212 + -210. Let v = -25.3 - -25. Put i, 3\/2, v, -1\/8 in ascending order.\nAnswer: v, -1\/8, 3\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.43, 3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 6*b**2 + 6. Let z be d(-6). Suppose -2*g = -z - 0. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 33. Let q = -13 - z. Which is the smallest value? (a) q (b) -1 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzddnnsddsnzddwddz. Give prob of sequence dn.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*h = 8, -8 = 2*f - 4*h + 2*h. Let i = 35.6 + -87.1. Let w = -52 - i. Which is the closest to f? (a) -1 (b) -2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 152 + -155. Let s be (-12)\/6 + 3\/(-18)*i. What is the nearest to 2\/7 in s, -5, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 407527 or 407529?\nAnswer: 407527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 49?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 848997*w.\nAnswer: -3*w*(w - 282999)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019566 centuries in months?\nAnswer: 23.4792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = 3*j + 16, 10 = -j + t. Let a = j + 10. Put -1, a, 1 in ascending order.\nAnswer: -1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*g - 10*g - 14*g - 8*g - 14*g - 12*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6633 and 239793?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*u + 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 3*o**2 - 2*o + 3. Let f be t(3). Let w be f\/(-6) + (-1)\/(-2). Let z(a) = 37*a**2 + 2*a - 1. List the prime factors of z(w).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28172, 112663, 253502, 450707, 704296, 1014287?\nAnswer: 1380698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -4, 2\/21, 1.2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/5))**(-2\/29)\/(i*i**(-3\/5))**(-1\/38) assuming i is positive.\nAnswer: i**(143\/2755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -113474*g - 253277 with respect to g.\nAnswer: -113474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91)\/((-320229)\/306)*3\/66*-2.\nAnswer: -2\/253","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 2\/(3 - 196\/68). Let b = f - 84. Let r be 35\/b - (-9)\/15. Is 0.04 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0027 - 3.9973. What is the second smallest value in 1\/2, 18, v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -27. Is 48\/(-9)*(-1 - (-6)\/h) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6499.215cm in kilometers?\nAnswer: 0.06499215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**14\/s*s*s\/(s\/((s*s**(-9))\/s)) assuming s is positive.\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 plus 11465?\nAnswer: 11413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/2535 - -195259\/40560. Let r be 3\/((-60)\/49229) + 0. Let m = 2462 + r. Calculate the common denominator of z and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (95\/(-4))\/((-145)\/(-139002800)). Round g to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 4*v + 1. Let c be i(-4). Let x be (((-8)\/6)\/((-9)\/27))\/2. Let u(a) = x*a - a - 334*a**3 + 331*a**3. Give u(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/36 and -67\/1124?\nAnswer: 10116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*k + 1, 8*k = 3*f + 5*k + 3. What is the units digit of (4 + -6 - (f - 0)) + 331?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + 5 + sqrt(7) + -2 + 5 + 1*(sqrt(7) + 3 + 0).\nAnswer: 2*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 21017*h - 105148. Calculate y(5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 189, -2, 6, 1515 in ascending order.\nAnswer: -2, 6, 189, 1515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*i - 0, 4*d - i = -6. Let y be (d + 9)*15\/12. Suppose 4*c - 58 = 4*l + y, -3*l = 6. Calculate the remainder when 28 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 3*x**6\/5 + 7*x**2 - 8*x. Differentiate n(d) wrt d.\nAnswer: 72*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 2342224331?\nAnswer: 2342224324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -3. Let q = 28 - 27.677. Let o = 0.723 - q. Put 0.1, 12, o, m in descending order.\nAnswer: 12, o, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {i: 11, l: 9}?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4117)\/368 + (-21)\/(-112).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -36 - 84. Let m = -16 - r. Does 16 divide ((-84)\/m)\/(-3)*40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 5*b. Let j(y) be the second derivative of 0*y**2 + 1\/30*y**6 - 1\/20*y**5 + 3*y + 0 + b*y**3 - 1\/12*y**4 + 1\/42*y**7. Factor j(g).\nAnswer: g**2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 366*a - 365*a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13206 (base 11) to base 12.\nAnswer: ab16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/24 - 2027\/(-6). Suppose 4*c + 61 + 45 = 5*k, -5*k = 4*c - 154. What is the greatest common factor of k and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in -30, -1, -0.06, 0.4, 2\/3?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -532802, -532585, -532372, -532163?\nAnswer: -531958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 532*d*j**5 - 18*d*j**2 - d*j + 152*d + 2*j + 1 wrt j.\nAnswer: 10640*d*j**3 - 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 + 208*c + 162. Calculate the remainder when 4091 is divided by b(70).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -1\/5*n**2 - n + 1\/5*n**3 - 3\/5 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4440702933?\nAnswer: 3, 19, 239, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 2:34 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 12) to base 11\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*i - 3*c - 24, -40 = -5*i - 5*c. Solve i - 22 = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 4406392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16726, -16690, -16638, -16576, -16510, -16446?\nAnswer: -16390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 678, 5419, 18286, 43341, 84646?\nAnswer: 146263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -210 - 851750?\nAnswer: -851960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - 0.2. Let z = x - -0.159. What is z rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54008 is divided by 7643?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3 + 15*f**2 - 3*f**2 - 17*f**3 + 8*f**3 wrt f.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**16*b)**(-1))**(-8\/11) assuming b is positive.\nAnswer: b**(136\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/90 and -97\/165.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24698000 and 889128.\nAnswer: 222282000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -63540 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*s = -338*s + 392 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10212100200101 + -101?\nAnswer: 10212100200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 37866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122599077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 15927993.4.\nAnswer: 15927996.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 683064198*b**4 - 95863516200*b**3 + 4605134263488*b**2 - 81051338137088*b + 256483604934656.\nAnswer: 2*(b - 4)*(699*b - 31768)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3332534.\nAnswer: 2, 53, 149, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3 + 7778*a**2 - 203580*a = 0.\nAnswer: -3915, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155983 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 265958457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04744096115603 less than -1?\nAnswer: -0.95255903884397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2 + 1*(-1)\/14. What is the fourth smallest value in 0, z, -3, -1\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 5*u, u - 4*u = -4*m - 32. Let l = 19 - 14. Find the second derivative of u*z - z - z - z**l wrt z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/4*924\/594\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25054 (base 7) in base 5?\nAnswer: 202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 13*y**2. Let v(b) be the third derivative of b**7\/1260 - b**4\/12 - 20*b**3\/3 + 13*b**2 + 4. Let l(u) be the second derivative of v(u). Give l(i(g)).\nAnswer: 338*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38993*d - 23 = 38988*d + 3*a, 0 = -3*d - 3*a + 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 5481.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (1\/6 + (-90)\/(-90))*3. Find q such that 3\/8*q**3 + 15\/4*q**4 + 3 - u*q + 9\/8*q**5 - 27\/4*q**2 = 0.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2522 divided by 2\nAnswer: -1261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 267 - 270. What is the third biggest value in -5\/3, 2\/15, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -367.38 - -364. Let s = -3.38 - q. Which is the nearest to 3\/4? (a) s (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70)*-1)*4 + sqrt(70))\/sqrt(10).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 7\/3. What is the nearest to r in 3\/2, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, -17.8557, -3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 439 * -0.1357.\nAnswer: -59.5723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g**3 - 2*g**2 - 6*g - 26. Let q(y) = 17*y**3 - 2*y**2 - 11*y - 52. Let h(c) = -11*p(c) + 6*q(c). Differentiate h(w) with respect to w.\nAnswer: 9*w**2 + 20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 + 228*p**2 - 238*p + 1361. Calculate n(113).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -15. Let n = u + 14. Solve -4*k + n = 2*z, 0*k + 1 = k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 8*u**2 - 24*u + 10. Let m(a) = 12*a**2 + 2*a - 2. Let t be m(1). Is j(t) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + -50. Suppose g*j + 50 = 8*j. Suppose -j = 5*h - 0, 2*a - 4*h = 802. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10398 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2. Let c(k) = 17*k**2 - 5*k. Let y(n) = -264*n**2 + 77*n. Let l = -14 - -9. Let d(p) = l*y(p) - 77*c(p). Give m(d(z)).\nAnswer: 121*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-8 - -18)) + 9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1650, -8, 0.4 in descending order.\nAnswer: 0.4, -8, -1650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, n: 2, c: 2, h: 3}. What is prob of sequence nh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -115405, -115409, -115421, -115447, -115493, -115565?\n\"Answer: -i**3 + 2*i**2 - 3*i - 115403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7817698261?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/5 + 2243*h**2\/5 + 724983*h\/5 - 651395259\/5.\nAnswer: (h - 379)*(h + 1311)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 + 53 = -45*p + 438 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*sqrt(80)\/(sqrt(10) + sqrt(20)\/sqrt(2)).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-28))\/(-1)*28\/12. Which is the closest to l? (a) -1 (b) -2 (c) -0.4 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308 and 12320?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1485316519?\nAnswer: 29, 51217811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1585*k**2 + 791*k**2 + 795*k**2. Suppose -5*o = 5*z - 97 - 83, -2*o = 3*z - 73. Let i(v) = 1 + o*v**2 - 10*v**2 - 1. What is i(s(b))?\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/43875 and -33\/25?\nAnswer: 43875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.121 + -0.079. Which is the nearest to z? (a) -2 (b) -4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/335 and -81\/13534.\nAnswer: 67670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.42596 millilitres in litres?\nAnswer: 0.02442596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p - 73. Determine m(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 18. Calculate k(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24\/25 + 1126\/1225. What is the second biggest value in w, -1, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0732984 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4875 is divided by 410.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75769, 151517, 227257, 302989, 378713, 454429, 530137?\nAnswer: 605837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.94 - -15. Let g = -9 + 9.2. What is the biggest value in v, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 101862?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42881 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: In base 15, what is -10 - -c?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*v - 1\/2*v**5 + 0 + 1\/2*v**2 + 1\/2*v**3 - 1\/2*v**4 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*s - 103*s + 6584 = 4*w, 0 = -2*s + 4*w + 6616. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 4 = -5*r. Let i(s) = -s**2 - 4*s + 0*s + r*s. Let u(h) be the second derivative of -h**4\/6 - h. Give u(i(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 10 - -2) + -2 + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, t: 2, l: 1, e: 1, w: 4, u: 2}. What is prob of sequence uy?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94016*p**5 - 16*p**3 - 251723*p**2.\nAnswer: 5640960*p**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 7*j - 6*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2337, 274, -39?\nAnswer: -2337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**8)*f**(-7))**(-7\/6))**2 assuming f is positive.\nAnswer: f**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/153 and -55\/21402.\nAnswer: 363834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8989 - -9649. Calculate the highest common divisor of d and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 2, r: 3, x: 3, n: 3, u: 5}. What is prob of sequence lxn?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 17*c**2 + 38*c + 14. Calculate p(-19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 9. Suppose -s*i + 9266 = -8834. Let m be (-1 - 15)*250*i. Round m to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(475)*1 - ((-2*sqrt(475) - sqrt(475)) + -4)**2)*-6.\nAnswer: 870*sqrt(19) + 25746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {e: 9, o: 8, n: 2}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y**2 - 6*y + 1. What are the prime factors of h(-4)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 25. Let f be 6\/(a\/(-1 + 3)). Let l = 14 + f. Solve 0 = 2*y - l - 2, -28 = -3*p - 5*y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698*a = -71163 + 18813 for a.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a minute in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/12 and -51\/39834260.\nAnswer: 119502780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012442 to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(6)*-3) + (sqrt(7) - (sqrt(567) + 0)))*-2.\nAnswer: 50*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0, -4, -5 in descending order.\nAnswer: 15, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44184 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221 - 2334313111?\nAnswer: -2334312340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*1 - 4\/(-32)*0. Does 30 divide ((-24)\/4)\/2 + (t - -331)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2. Let r(c) = -c**2 - c - 1. Let x(s) = -12*s**2 - 3*s - 3. Let v(o) = -3*r(o) + x(o). Give a(v(k)).\nAnswer: 243*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*t**2 - 9*b**2*t - 205*b**2 - 39*b*t**2 - 437*b*t wrt b?\nAnswer: 2*t**2 - 18*t - 410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9169326, -9169327, -9169328?\n\"Answer: -p - 9169325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64844 + 92025. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128421 is divided by 382.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Suppose -g*m = -2*i - 30, -m + 19 = -2*i - i. Solve 2*n = -5*s + 1, -2*s - 2*s + 3*n = m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -5*f + 7, -f = -3*y - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 836386004 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/10 and -7\/254.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -61, -0.11, -27, -0.5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4082?\nAnswer: 2, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 111783377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 93*y. Let j(b) = 2*b**2 + 2*b + 2. Let o(c) = -14*c**2 - 15*c - 15. Let h(m) = -15*j(m) - 2*o(m). What is i(h(v))?\nAnswer: -4*v**4 + 186*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**4\/12 + r**3\/6 - 2*r**2 - r. Let k = -3 - 0. Is a(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 11*m + 14 = -3*t, m - 4*t = 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*b + 28*b - 175 - 1697 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) -0.036 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40093 in -4, -1, -0.07, 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -178 + 214. Calculate the highest common factor of 108 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + -0.0691702?\nAnswer: 0.5308298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*o + 313*o - 3*c = -45, -195 = 15*o + 3*c for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, v: 8}. What is prob of sequence cv?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(350\/(-126)))\/((-180)\/(-380))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmcm when four letters picked without replacement from mmmmmcmmcmmcmm.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5173 = 69*n + 1309. Solve 23*l = -n*l - 237 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -4*q**2 + 0 + 0*q + 0*q**5 + 1\/6*q**3 + 0*q**4 - 1\/8*q**6. List the prime factors of r(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 14*x - 8. Calculate z(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -141, -106, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2, i - 4 + 0 = 4*h. Suppose x + 0*p + 2*p - 2 = 0, -5*x + p = -32. Let b be (x\/(-8) - -1)*8. Solve 3*o - a - b = i, -3*a + 1 = -2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1751, 100, -3, -4, -2\/13 in decreasing order.\nAnswer: 100, -2\/13, -3, -4, -1751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 9. Suppose -d*l + 3*u + 6 = -0, -3*l = -2*u - 6. Solve 4*q + 3*o + 11 = -6, -q = -l*o + 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 2:46 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let m = -8 + 26. Let l(w) = -18*w + 2*w**2 + m*w. Give a(l(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9)*m**4)**(-49)*((m*m*m*m*m*m*m**(1\/8))\/m*(m*(m\/m**(-7))\/m*m)\/m)\/(m\/(m**4*m*m)*m**(3\/7)) assuming m is positive.\nAnswer: m**(14711\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 109*l - 1561. Let a be m(13). Solve 3*t = 4*c + a, -96*c + 92*c = -t + 19 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 + 2*f**3 - 6*f**3 + (f**2 - f + f)*(1 + 3*f - 1) + 0*f**3 + 2*f**3 - 4*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - u**2 + 2*u - 3. Let q be n(0). Let m = -2.9 - -3. Let o = 17 - 12. What is the closest to 0 in q, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 12. Solve -3*t - 2*t + s = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13772 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 11:02 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104154022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1813, 4580, 9197, 15664, 23981, 34148, 46165?\nAnswer: 60032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -14*m - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21632 and 16?\nAnswer: 21632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 7:15 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Let f be ((-24)\/28)\/(m\/14). Let i(j) = j**2 + 8*j + 9. Calculate i(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33925, 260630, 875989, 2074330, 4049981, 6997270, 11110525?\nAnswer: 16584074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 18*m + 78 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33847 + -33846.7. What is the closest to 0.2 in h, 26\/21, -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 5*d - 3*d**2 - d**3 + d. Let l be q(-4). Let k = l - -5. Calculate the least common multiple of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*k, 4*k - 3 = -13*y + 10*y. Sort y, 2, -7, -5 in increasing order.\nAnswer: -7, -5, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*t**3 + 424*t**3 - 724*t**3.\nAnswer: 88*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i**2 + 0*i**2 - 2*i**2)*((2 + 1 - 2)*(1 - 1 - 1) - 1 - 3 + 2 + 3 - 2 + 0 + 1 + 0 + 0)*(251 - 251 - 39*i) to y + z*i**3 + d*i + n*i**2 and give z.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1158164 divided by 289541.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-70)\/(-56))\/((-1)\/(-64)). Suppose -5*r + 60 = -k. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/3*n**4 + n**3 + 0*n**2 - 1\/3*n.\nAnswer: n*(n + 1)**2*(2*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2))**2 + 0 - (sqrt(2) - 2*sqrt(98))) + 2 + sqrt(8)\/(sqrt(16)\/sqrt(4)).\nAnswer: 4 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 427750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/6)\/(181\/724). Let v = -9536\/15 - -1966\/3. Factor 0 + v*o + 2\/5*o**3 - 28\/5*o**f.\nAnswer: 2*o*(o - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, n: 5, c: 5, m: 2}. What is prob of sequence vvvc?\nAnswer: 175\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68\/13 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/14, 1, -2\/551, -5\/4, -3 in decreasing order.\nAnswer: 1, -2\/551, -3\/14, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1591\/(-43) + (-245 + 247)*-5*(0 - 1)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93888 and 984031.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.37233 and 63.\nAnswer: -23.45679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15412 - -15406.99992. Let k = -5 - l. What is k rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 - r**2 + r**2 + (-4*r**2 + 4 - 4)*(817*r - 337*r + 464*r) to the form q*r + v*r**2 + h + g*r**3 and give g.\nAnswer: -3774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(1053) - (0 + (sqrt(1053)*-6 + sqrt(1053) - sqrt(1053)) + sqrt(1053)) - (0 + sqrt(1053)*-5)))*1)**2*-1.\nAnswer: -127422 - 594*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 2:20 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -3) + 4 + -5 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.4, -1\/49, 7433 in decreasing order.\nAnswer: 7433, 0.4, 0, -1\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t + 1. Let y be a(1). Let x = y - 1. Let m(b) = 9*b - 6. Let p(u) = 3*u - 2. Let k(o) = -6*m(o) + 17*p(o). Determine k(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1))**12\/((q\/(q\/(q\/q**(-1\/2))))\/q)**(-10\/7))**22)**(2\/27) assuming q is positive.\nAnswer: q**(-3476\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 61120.16mm in kilometers?\nAnswer: 0.06112016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -1121021?\nAnswer: -1121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77302036.\nAnswer: 2, 7, 59, 73, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -0.03, -1, 1\/2, -5, 0.4 in decreasing order.\nAnswer: 1\/2, 0.4, -0.01, -0.03, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h - 2. Let b(u) be the first derivative of -7*u**2 + 5*u - 1. Let w(t) = -4*b(t) - 11*z(t). What are the prime factors of w(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 19*y**8\/56 - 3*y**7\/7 + 111*y**4\/4 + 614*y. Find the third derivative of h(o) wrt o.\nAnswer: 2280*o**3 - 1080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 9 = 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23844 = 11*s - 32553. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4319751*u**4 + 4708*u**2 + 13*u wrt u?\nAnswer: -103674024*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 163826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -112, -195, -288, -397, -528, -687, -880?\n\"Answer: -x**3 + x**2 - 79*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f - 5. Let d be (-10)\/6 + 2 - 1. Sort f, 2\/5, d.\nAnswer: d, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**7*m)**(-3\/11)\/(m\/(m**(-4\/3)*m)*m**(6\/25)))**(-2\/107) assuming m is positive.\nAnswer: m**(6196\/88275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 5*n - 4. Let f be m(5). Let b be f\/30 - (-2)\/15. Solve b*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k + k**4 - 4*k)*(k - 5*k + 3*k).\nAnswer: -k**5 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 991610.4 grams in milligrams?\nAnswer: 991610400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + sqrt(76)\/sqrt(4)) - (sqrt(1539) + -2)*-4.\nAnswer: -18 + 34*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-180)*(-4)\/(64\/12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 100, 379, 850, 1519, 2392, 3475, 4774, 6295?\n\"Answer: j**3 + 90*j**2 + 2*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28763\/6908 - -179\/44. Is 0 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**8\/2520 + 2*g**5\/15 + 10*g**2. Let i(p) be the third derivative of s(p). Let r(y) = -2*y. Give r(i(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 7. Let c be t(-4). Suppose 65 = -c*w + 251. Let l = 87 - w. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*(0 + 3 + 0)*(-5*v**2 + 3*v**2 + 0*v**2) - 4*v**2 - 2*v**2 - v**2.\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**2 + 4*r**2 + 4*r**2 + r**2 to g + d*r + l*r**2 and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**2 - 458*n - 451*n + 901*n + 17 - n**3 + 2*n**2 to the form p*n + w*n**3 + h*n**2 + b and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*j**3*l**2 - 563699*j**3 - j**2*l**2 - 18257*j**2*l - j*l - 87*l**2 - 2 wrt j.\nAnswer: 276*l**2 - 3382194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -602171, -2408198, -5418241, -9632300, -15050375, -21672466?\n\"Answer: -602008*v**2 - 3*v - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8115793 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5453670.\nAnswer: 5453667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - -2. What is the greatest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.6 in -2.3, 2, -12, -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4199158013 to the power of 1\/3, to the nearest integer?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 11}. What is prob of sequence kk?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -318, -325, -340, -369, -418?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 45\/28 and -36 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(3731\/(-14700) - 1\/(-4)). Suppose 15*d - 9*d - y = 0. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.82 - -15. Let z = h + -2.18. Sort -0.05, 5, z in decreasing order.\nAnswer: 5, -0.05, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m + 66. Let u be o(-6). Suppose 16*v - 188 = u. Calculate the smallest common multiple of v and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, u: 6}. Give prob of sequence kkk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (75\/(-10))\/(-5) + 1\/2. Suppose -a*l = 4*m - 312, 4*m + m - 405 = 5*l. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 57, 73, 91, 111, 133, 157?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from jjjjjjjjdjdjljllj.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 + 0.03. Let p = h - -0.09. What is the second smallest value in 3, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11180 - 1?\nAnswer: 11178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -148. Let w be 4\/(-5)*y\/(-4). What is the highest common divisor of 176 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48003 + -4?\nAnswer: -48007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9993 + 9993.1. What is the closest to 1\/6 in -1\/3, 2\/5, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 243.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(-2*(-6)\/(-18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 11:07 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -204.2938947683 plus 0.1?\nAnswer: -204.1938947683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 412 * -0.4723\nAnswer: -194.5876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 - 60*m + 200. Let c be t(4). Solve -x - c + 3 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 + o. Let f be v(1). What is the third biggest value in f, 3\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(200) - 5*sqrt(200)*2 - (sqrt(200)*-2 + -5)))**2*4.\nAnswer: 39200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (11916\/(-32438))\/(9\/(-7))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 11) to base 3.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 9) in base 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/20*(-16)\/(-14).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/6 - 196*p**4\/3 - 6637*p**3\/6 + 18899*p**2\/3 + 425194*p\/3 + 403172\/3 = 0. Calculate p.\nAnswer: -374, -14, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 1\/2 (b) -1\/15 (c) 0 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = 0, 7 = 5*r - 4*z - 1. Let b = 3975 + -3965. Solve 5*g = -r*g - b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - f. Let a(c) = -c + 1. Let q be a(2). Let z(g) = 6*g**2 + 3*g. Determine q*z(h) - 5*l(h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11544787 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-230)\/3*303\/(-202). Solve 113*v - t*v + 2 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32398 is divided by 4585?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b - b - 3 = -31*b. What is the smallest value in b, -1\/2, -1.09?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/9 + 2050*h**3 - 110786*h**2\/9 - 43078*h\/3 = 0. What is h?\nAnswer: -9231, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 + 0*l + 0*l + 0*l**2 + 0*l**2 - 3*l**2 - 2*l**2 + 3*l**2 + 2*l**2 + (0 + 0 - l)*(-4 + 4 + l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 1863.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10110 + -2202?\nAnswer: -20012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*o = -4*k + 39*o - 25, 3*k - 3*o = 42 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, e: 8, j: 5, h: 2}. Give prob of picking 2 h.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -d - 100. Suppose -520*k + 129*k + 375360 = 0. Calculate the greatest common factor of k and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 24 = -2*z, -2*z + 21 = -5*r - 5*z. Let m = -4 - r. Factor -8*u**2 + 0*u**2 + u**3 + 6*u**m.\nAnswer: u**2*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/612769 and -77\/11685.\nAnswer: 376852935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*t + 395*t = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 c when three letters picked without replacement from {e: 5, n: 2, c: 6, v: 1, b: 5, h: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1799 - 1787. Suppose 5*l = 37 + 28. Suppose -x*w = -l*w + 135. Is 27 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3606 - 40?\nAnswer: 3586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 208 in 0, 1\/230, -235?\nAnswer: 1\/230","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 183*q + 4. Let t(h) = -90*h - 2. What is -7*t(b) - 3*w(b)?\nAnswer: 81*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 5*j**2 - 35*j + 7. Suppose -214*k = -210*k + 28. Is 29 a factor of i(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/167265 and 61\/35.\nAnswer: 167265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - n**3 + 2 - 8*n**2 + 4 to u + w*n**2 + p*n + z*n**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/20)\/((-99)\/(-165))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -19 + 90 + -2 + -18?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 23 = 4*b, i = 2*i + 4*b + 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-10)*g)\/((g**(2\/23)\/g)\/g))\/(g**(2\/21)*g**(-1)) assuming g is positive.\nAnswer: g**(-2986\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137980 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - 2*h**3 + (-3*h - 5*h**2 + 3*h)*(1 + 2*h - 1))*(0*h + 28*h**2 - 2 - h - 27*h**2).\nAnswer: -12*h**5 + 12*h**4 + 24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 178241093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 15093058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 877219.\nAnswer: -1\/877219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h = 12*h - 5*l + 21, 2*h + 4*l = 18 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*r**4 - 33*r wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 23220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 3*z - 1. Let g = 8 - 11. Let x be a(g). Put 3, x, 4 in ascending order.\nAnswer: x, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1036 + 3508. Suppose -2*m - 2*m = -l. Calculate the remainder when m\/11 - (-10)\/(-55) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhu when three letters picked without replacement from {o: 1, l: 1, h: 5, c: 3, u: 1}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2 + 132*x + 18. Give p(47).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50)\/13 - 16\/104. Let o(i) be the first derivative of -1\/3*i**3 - 3*i**2 - 3*i + 1. Give o(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2189196671?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*b - 418 = 384*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*c + 72 = 53*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22502, -22860, -23218?\n\"Answer: -358*h - 22144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (903 - 273 - 595 - 339)*(-38*n**3 - 30*n**3 + 11*n**3).\nAnswer: 17328*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -64*a**5\/3 + 560*a**4 - 1099*a**3 - 3862*a**2\/3 + 369*a - 24 = 0. What is a?\nAnswer: -1, 1\/8, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5777*m - 5778*m + y, 3*m = 4*y - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 14*f**3 + f**2 + 2*f. Let l be v(-1). Let w(y) = y**3 + 15*y**2 - 14*y + 6. Does 12 divide w(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**3\/4 - 1815*l**2\/2 - 450495*l\/4 - 3480975\/2 = 0. What is l?\nAnswer: -573, -135, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -555, 6, -17, 0, 1, -5, -4 in decreasing order.\nAnswer: 6, 1, 0, -4, -5, -17, -555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59.8 + 55.8. Which is the closest to 15? (a) -0.9 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/(-120))\/(4\/(-24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2*(-185)\/(-10). Let g = v + -34. Suppose -g*c + 3 + 12 = 5*d, -2*d - 3*c + 6 = 0. Solve -5*i + x = 10, -d*i - 1 - 3 = -x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4113789*t**3 - 2*t**2 + 685140 wrt t?\nAnswer: 24682734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100000001110010 (base 2) to base 14.\nAnswer: -13d50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 11:34 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4*o + 1 - 1 + 4 to g*o + l and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 711 + -496. Suppose -191 + w = 6*t. Solve -s - 2 + t = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) 10\/17 (c) -2\/9 (d) -0.16803\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - -4) + (5 - 3) + 7. Let y(m) be the second derivative of m**5\/20 - m**4\/3 - 7*m**3\/6 - 2*m. What is y(z)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**6\/10 + 4*i**3\/3 - 10*i**2. Differentiate l(u) wrt u.\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 50*c - 127. Let m be b(26). What is the highest common divisor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -1\/36*w**3 - 107*w + 0*w**4 + 1\/120*w**5 + 0*w**2 + 0. Let m(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-20) - 111\/4. List the prime factors of (3\/(-6))\/(2\/m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*f + 3*c, 2*f - c = -f + 5. Is 166*(f\/(-6) - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d4795 (base 14) to base 6.\nAnswer: 133025315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105044663323 + 1?\nAnswer: 105044663324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.1, 0.8, -0.9, -0.08, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 9, t: 9}. Give prob of sequence oooo.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/(-80))\/(4\/(-10)). Let c = r + 2. Find the third derivative of -c*z**3 + z**2 - 3*z**3 - 3*z**2 - z**2 wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {x: 4, z: 4, a: 5, w: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/3*30\/(-10). Let a(c) = 17*c - 85. Let s be a(m). Are s and 153 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 12 = -j, 14*t = 2*j + 19*t + 29 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcvtpppvccvcppp. Give prob of picking 3 v.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 1. Let x be c(2). Let i(p) = 358*p**2 + p. Is i(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2*d + 1 = 3, -3*d = -5*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 25*n**2 + 20*n + 100.\nAnswer: -5*(n - 2)*(n + 2)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1030243404 divided by 302\nAnswer: -3411402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*m + 9, -186 = -2*s + 4*m. Suppose -3*l + 18 = -s. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137 + 85. Let c = 169 - 75. Let x = c + w. Calculate the remainder when x is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49.3 + -6.7. Let b = 48.6 + w. Round b to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z - 5820 + 694 = -203*z for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 8:19 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 2 i when four letters picked without replacement from {m: 2, h: 2, i: 4, o: 4, a: 1, e: 2}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028652 rounded to 3 decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (3 - (0 - 6 - (-40 - -33)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-83502)\/(-5670) - 15 - (-32)\/72)*5\/51?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w + 187. Let f be n(-31). Let p(u) = 35*u**2 - 1. What is p(f)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.509 - -0.111. Round c to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 18)*(-566)\/11037?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 3*w + 0 + 1 + (-32 + 70 + 30)*(-5*w - 5 + 5) as d + k*w and give k.\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 6:19 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -16*o. Suppose 5*k = 4*w - 11, 3*w - 2*k - 2 = 8. Find the third derivative of 0*t**2 - w*t**2 + o*t**3 - 5*t**3 + 2*t**3 wrt t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/8)\/(4\/24) - -9. Is (5\/6 - (-1)\/c)*250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**3 - 11*s + 5. Let h be j(-4). What is the second derivative of 369*d**2 - 55*d - 12*d**4 - 22*d**4 - h*d**2 wrt d?\nAnswer: -408*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - q**2 - 4*q - 3. Let f be v(-3). Let h = -15 - f. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 338.1 + -327. Let t = c + -11.103846. Round t to 4 dps.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*d**3 - 2 - 4 - 4 + 1 wrt d?\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 26.5\nAnswer: 26.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 6*u**2 + u - 4. Let t(r) = -r**3 + r + 1. Let l(y) = -m(y) + 2*t(y). Let j be l(6). Factor 12 - 17*c - 9 - 7*c - 2*c**3 + 13 + j*c**2.\nAnswer: -2*(c - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*(sqrt(160)\/(sqrt(72) - sqrt(8)))\/(sqrt(20)\/(sqrt(8)\/sqrt(4))))**2*6.\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 365 = -2*r, 4*k + 20 = 8*k. Does 29 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.105 - -0.05244.\nAnswer: -0.05256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + 1c?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*p**5\/17 - 20*p**4\/17 - 12*p**3\/17 + 16*p**2\/17 + 18*p\/17 + 4\/17 = 0. What is p?\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13780, -13775, -13766, -13753, -13736?\n\"Answer: 2*b**2 - b - 13781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8*m - 22 = 3*m, m = h + 3. Are 0.7 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 290*g**2 + 13505*g - 25810.\nAnswer: -5*(g - 29)*(g - 2)*(g + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10029?\nAnswer: 3, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 5 + 35. Let b = w + -9. What is the closest to b in 4, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -167\/4. Let i = 0.26 + -0.26. Let t = i + 0.1. Sort z, t, 5 in descending order.\nAnswer: 5, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 14*j + 30. Let d(t) = t**2 - 2*t + 14. What is the least common multiple of d(0) and p(6)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 q when three letters picked without replacement from {q: 7, w: 5}?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 99828 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -348623000 rounded to the nearest 1000000?\nAnswer: -349000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -5, 14, 23, 32, 3 in increasing order.\nAnswer: -5, 3, 14, 16, 23, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmnx when four letters picked without replacement from {z: 2, m: 2, n: 1, x: 8, o: 1}.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31505235, 126020953, 283547149, 504083823, 787630975?\nAnswer: 1134188605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2385 + 1191 + 171*n + 1200.\nAnswer: 171*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(84)\/(sqrt(192) + sqrt(12)) - sqrt(7)) + 6*(-4 + sqrt(112)) + 2)**2 + -3.\nAnswer: -5104*sqrt(7)\/5 + 106217\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, j: 2}. Give prob of picking 4 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2253668.\nAnswer: 2, 563417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000784246 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x + 1. Suppose -5*b = 4*o - 14, o - 3 = 6*o - 4*b. Let y be v(o). Let z be 248001 - (2\/y)\/(5\/20). Round z to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 3*u**2 + u. What is the tens digit of t(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9399 and 3666.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 599873, 2399027, 5397615, 9595637?\n\"Answer: 599717*p**2 + 3*p + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29539 divided by -109?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2755*z + 2818 - 18458 - 14289 = 14151 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(7*g**4 - g**4 - 5*g**4)*(-4 - 2 + 7).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 4*q + 34, -3*s + 0*s - 14 = -q. Let t(h) = -5*h + 12. Let c be t(s). Do 43 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2079*m**2 - 4093*m + 1. What is r(-2)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*n - 6, n + 2 = -g + 1. Solve x = v + 2, v - 6*v = -g*x + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/27678 and 81\/532?\nAnswer: 1051764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 2\/((-4)\/(-26)). Let b be d*(14\/(-3) + 3). Let c = 57 - b. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4\/5 - 4*c**3\/5 + c**2\/5 + 6*c\/5 = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -3 + -3 - -1) + (1733 - 1792)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(((-2)\/(-6))\/(195\/(-45)*-3))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*w - 39 = 0, -6 - 4 = 5*w. Let v(z) = -10*z + 60. Let b be v(18). Let l = b - -131. Do h and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/13))\/(u**(2\/3)*u))**(-29) assuming u is positive.\nAnswer: u**(928\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - g + 131 = -f, f - 62 = -4*g. Let b be (3 + f\/(-12))\/((-1)\/(-2)). Let t(y) = -3*y**3 - 7*y**2 + 4*y + 9. What is the tens digit of t(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 - -68.5. Which is the smallest value? (a) t (b) -3\/2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**2 + 3*o**2 + 3*o**2 + 4963 + 1236*o**2 - 4963 + (-o + 2*o + 0*o)*(-o - 2*o + 0*o))*(o - o - 3*o) to a*o**2 + p*o + i*o**3 + b and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348921511?\nAnswer: 348921511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -878, -7407, -25242, -60035, -117438, -203103?\n\"Answer: -942*f**3 - f**2 + 68*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37845 and 14355.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-101)\/(-303))\/(((-43225)\/78)\/35)?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9140 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 = -0*o + z, 0 = 5*o - 5*z + 15. Let s be 0 - (56*112500 - o). Round s to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132391766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53a - 84?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291619.4km to meters.\nAnswer: 291619400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 minus -825522920.2?\nAnswer: 825522919.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*f - 4*f - 52 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 4*x + 9226 - 9230, 0 = x + 2*g - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 2, q: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213974 is divided by 2348.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -0.03017.\nAnswer: 4.96983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-6 - -3 - (1 - 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 4 + 0*l**2 + 0 + 1. What are the prime factors of w(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -306 - -441. Suppose -c*f + 134*f + 5 = 0. Solve 2 = -f*r + 22 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3696034 - 1914546385\/518. Let r = 2\/259 - x. Let -3\/4*l + r - 3\/4*l**2 = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 2\/3, -0.1, 17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*s, 7 = 4*s - 0*i + i. Suppose 5*a + 0*f + 2*f = 95, -4*a = s*f - 83. What is the greatest common factor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h + 5. Determine f(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -27 - 6. Let g(u) = -u**3 - 43*u**2 + 89*u + 152. Calculate the remainder when g(-45) is divided by r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llluczcllczl. What is prob of sequence cuzc?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 - 4*v - 3. Let f(w) = -9*w**2 - 11*w - 8. Let c(k) = k - 16. Let b be c(8). What is b*n(t) + 3*f(t)?\nAnswer: -3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10784*t - 3206*t - 2074478 - 1924952 = -22952*t for t.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 428000 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 856601803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 194733310*z**2 - 97366636*z**2 - 97366675*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - y + 3. What is the tens digit of v(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 69 (b) -68\/1857 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a kilogram in grams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 11*p - 3*n - 23 = 0, 2 = p + 3*n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*n**3 - 30 - 32*n**3 + 9*n**2 - 39 + 69 + n as x*n**3 + w*n + o*n**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen fifteenths of a week?\nAnswer: 10752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnzzn. Give prob of sequence zzq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 + -0.92. Let p = -1.1 + -10.9. Let k = -12 - p. Is d greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 27*u**2 - 25*u + 28. Suppose -q - 226 = -200. Let b be t(q). Solve -3*d + 2 = 4*n - 2, -b*n + 28 = -5*d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - u)*(-4 + 2*u + 4) + 5*u**2 - 4*u**2 + 0*u**2 to r + k*u**2 + c*u and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(3\/8))\/o*o*o**9\/o*(o*o**0)**(-38) assuming o is positive.\nAnswer: o**(-221\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from prprpprpq.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 316974 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 773801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*h**2 - 96*h + 45*h**2 - 20*h - 146*h**3 wrt h?\nAnswer: -876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-190178*l**2 + 190178*l**2 + 77*l - 4*l**4)*(-5 + 5 + l) + 15*l**2 - 15*l**2 + 5*l**5.\nAnswer: l**5 + 77*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-4\/7)))\/o)\/o**(-2\/5)*o**(-23)*o\/(o*o**(2\/11))*o assuming o is positive.\nAnswer: o**(-8991\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -858588.\nAnswer: 343435.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*z**4 - 1635*z**3 - 386*z**2 + 443*z + 110670.\nAnswer: 60*z**2 - 9810*z - 772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 + 40*h - 40*h + (h**2 + 2*h**2 - 2*h**2)*(5*h + h - 5*h) + (-5 + 0 + 1)*(5*h**2 - 45*h**2 - 5*h**2)*(h + 2*h - 5*h).\nAnswer: -357*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.530305 centimeters to meters.\nAnswer: 0.02530305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 15.96. Which is the third smallest value? (a) -3 (b) v (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 45, -4, -1, 2 in increasing order.\nAnswer: -4, -1, 2, 7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*l**2\/4 - 1857*l\/4 - 81\/2.\nAnswer: 3*(l - 27)*(23*l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 17. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2596 and 9\/413.\nAnswer: 18172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - -1*-2*sqrt(91) - 1*2*sqrt(91))\/(-4*(sqrt(175) - 2*sqrt(175))))**2.\nAnswer: 117\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.1 - -1.3. Let m = g + 2.05. What is m rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 0*f - 4\/3*f**3 + 0*f**5 + 0*f**2 + 0*f**6 + 0*f**4 + 4\/7*f**7 + 3. What is the third derivative of c(u) wrt u?\nAnswer: 480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 93 + -36 + 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3769580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*l - 328 = 0, l + 558 = 5*m - 2*l. Does 47 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -38, -8389, -4, 0.043?\nAnswer: -8389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 + 0 + -19 + 19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a factor of 34502610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/1)\/(-1)*-4. Suppose i*p + 2 = -2. What is the remainder when (p\/(-1) + 18)*1 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 124, 75\/113, 2?\nAnswer: 75\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**3 - 45*h**2 + 177*h + 10. Let k(g) = 5*g**3 + 50*g**2 - 178*g - 12. What is -6*f(w) - 5*k(w)?\nAnswer: -w**3 + 20*w**2 - 172*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 33 - 47 = 0. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69630, -69629, -69628, -69627, -69626, -69625?\nAnswer: -69624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 - 2*g**2 + 3 - g**3 - g + 4*g**2. Calculate the remainder when q(3) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(325))**2 - sqrt(325).\nAnswer: -1630 + 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.649 + -0.1538\nAnswer: 0.4952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, f: 1, y: 1, b: 3, g: 1}. What is prob of picking 2 b and 1 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 - 3 = 0. Solve -2 = -2*p - 4*z, 3 = 3*p - 0*z - h*z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2 - 3*w**2 - 4002 + 4422 + 125*w = 0.\nAnswer: -3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 9) to base 4\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -169882.\nAnswer: 1\/84941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1958.\nAnswer: -3\/1958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -1\/5430937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q - 6*q)*(-413*q - 140*q + 55*q).\nAnswer: 1494*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4511 - 4427. Suppose 0 = 3*l - 89 - 97. What is the second derivative of 38*m + l*m**5 - v*m**5 - 11*m wrt m?\nAnswer: -440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + z**2 - 3*z + 2. Let u be b(1). Let x be 119 + -2*1\/u. Suppose -3*o + x = -42. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*(1*sqrt(108) - sqrt(108))*-6 - (-3 + -5 + 0 + sqrt(108) + -2 + sqrt(108)))**2.\nAnswer: -360*sqrt(3) + 657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -93*y + 22. Calculate the least common multiple of c(0) and (-3)\/6 - 74\/(-4).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 204*t**2 + 251. Let q(c) = 205*c**2 + 253. Let i(z) = -7*q(z) + 6*w(z). What is the first derivative of i(g) wrt g?\nAnswer: -422*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 1891, -1, 4, -5\/88?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -371 - 353 + 251 - 1055 - 2*p to j*p + q and give q.\nAnswer: -1528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**6\/6 + 29*c**5\/4 + 275*c**4\/12 + 45*c**3\/2 - 403*c + 1. Factor y(g).\nAnswer: 5*g*(g + 1)**2*(g + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.92 - -26.92. Let n = z - 25.6. Let s = 64\/185 - -2\/37. What is the closest to s in -4\/7, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h - 5. Suppose 9*u - 867 + 129 = 0. Let t = -81 + u. Let d be f(t). Solve d*o - 1 = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3010 and 6720.\nAnswer: 288960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 18 - 2*j - 6*j + 4*j + 5*j. Suppose -117*k - 6 = -6. Calculate u(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s - 7. Let m be z(-3). Suppose -2*l = -5*u + l, m*u = 4*l - 5. What is the tens digit of (2 + -6)*(u - 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q. Let b(a) = 2*a. Let g(v) = -b(v) + w(v). Let z(x) = -2*x**2 - x + x. Let p(l) = l**2. Let s(j) = 5*p(j) + 2*z(j). What is g(s(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -119, -270, -481, -752, -1083?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-2 - 4\/(-2)). Suppose d - 90 = -4*l, 0*l + w*l = -3*d + 234. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*u + 24 = -8, -16 = a - 3*u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 1777 + 3683. Let x = 9607\/7 - z. Find the common denominator of -61\/10 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841748\/3 - 15*32\/(-1440) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from ddqqkqqydhdqhdkkdqq.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-15))\/(51\/(-2890)*-17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14 + ((-72)\/4 - -4). What is the nearest to 0 in 2\/15, g, 265, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.60622, 5, -15.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/16 (b) -4 (c) -248 (d) 8.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -197 + 2169\/11. Sort 4\/7, u, 0.08 in increasing order.\nAnswer: 0.08, u, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266109, 1064312, 2394641, 4257096, 6651677, 9578384, 13037217?\nAnswer: 17028176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o + 1538 - 314 = 49*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2\/5 - 25578*i + 2812128\/5 = 0.\nAnswer: 22, 42608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8832 is divided by 1968.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 5*m. Let p(t) = 1. Let x(w) = -k(w) - p(w). Let i be x(-5). Let g(a) = 10*a**2 + 2*a + 1. Calculate g(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -410.41 and -18.\nAnswer: 7387.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + 0. Suppose -2*d + l + 21 = 0. What is the remainder when 97 is divided by d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 9. Let a = -3 + h. Differentiate 0 - 4 - 26*p**a + 26*p**2 - 6*p**3 with respect to p.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 30. Let b be d*((-18)\/(-3))\/(-2). Let k = -15 - b. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4601254 and 1918.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 - 69. Suppose -139 = -d*n - 49. Calculate the highest common divisor of 63 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/1375945 and -53\/4850?\nAnswer: 13759450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -122 - 293. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 327.06?\nAnswer: 654.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -189311*t**2 - 181636 wrt t?\nAnswer: -378622*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -304 - -16392?\nAnswer: 1608c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 455*d - 16. Is l(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*a = -9 - 23, -2*a = -w + 7. Suppose -h = -2*h - 4*o + 12, 0 = -3*h + 3*o - w. Suppose h*g + 2*g = 24. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 c when three letters picked without replacement from cccckkcc?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 23.000023. Round k to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 13) + -8 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*v = -53 - 24 + 320 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*d*l**3 - 5*d*l**2 - 5*d + 4264071*l**4 + 254*l**2 - l + 1459 wrt l.\nAnswer: -192*d + 102337704*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 871, 1746, 2619, 3490, 4359, 5226?\n\"Answer: -z**2 + 878*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*v + 29 = 0, -7*v + 2*v + 123 = 2*c. Let r be c - 4 - (-1 - -1). Let w = r - -265. What is w rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -2\/13 (c) 6 (d) 2147.5 (e) 4 (f) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/4? (a) -0.9 (b) 10.44 (c) -2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1, -883, -6566, 1 in decreasing order.\nAnswer: 1, -1, -3, -4, -883, -6566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 5:03 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 11*j - 5*j. Let i(a) = j*a - 41*a + 21*a. Let y(p) be the third derivative of p**5\/15 + 6*p**2. Determine i(y(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + (4 - 8 - 6 - -19).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkfkfkf. Give prob of picking 3 f.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -640*b**2 - 288. Let p(d) = -9*d**2 - 4. Let x(a) = 2*j(a) - 144*p(a). Let u(t) = 100*t - 100*t + 14*t**2. Calculate u(x(q)).\nAnswer: 3584*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -422542311*g**3 + 65223194 with respect to g.\nAnswer: -1267626933*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -41705 and -42886?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 22*t**2 + 85*t - 247. Let f be h(18). Let x(a) = -2*a + 11. Let v(b) = -4*b + 23. Calculate f*x(l) + 6*v(l).\nAnswer: 2*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*(-184)\/(-92)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*i**4 - 25*i**3 + 10*i**2.\nAnswer: -5*i**2*(i + 1)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/10 - (-5404)\/35. Let q = c - 150. Solve -20 = -q*g + 8*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 7:15 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3024 and -41\/128.\nAnswer: 24192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 48*r**2 - 16*r + 36. Let c(q) = -q**2 + q - 1. Let g(z) = 16*c(z) + x(z). What is the derivative of g(t) wrt t?\nAnswer: 64*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 42. Suppose -30 = -3*a - 2*a. Calculate the remainder when a is divided by (1\/r)\/((-1)\/8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18185, -17048, -15907, -14762?\n\"Answer: 2*n**2 + 1131*n - 19318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4440312 (base 6) in base 8?\nAnswer: -663464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -35240 greater than or equal to -35240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901133 is divided by 58.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**3*w**3*x - 149*d**3*x - 3*d**2*x - 142*d**2 + 2*d*w**3*x - 2*w**3*x wrt d.\nAnswer: 24*w**3*x - 894*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -16*x + 28. Let j(w) = w - 1. Determine 56*j(p) + 2*n(p).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4022, 4025, 4030, 4037, 4046?\n\"Answer: t**2 + 4021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(4)\/(3*sqrt(2)))*-5.\nAnswer: -45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 7 - 10. Suppose 171 = 4*n - z. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0432366 and -1.\nAnswer: -1.0432366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(18\/(-9407)) - 2. Let y(g) = -392*g**2 - g. Let v be y(2). Let j = v + f. Find the common denominator of -57\/10 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2116088?\nAnswer: 2, 13, 20347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18\/805 + 697\/4830. Which is the nearest to -1? (a) -2 (b) -29 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*16\/(-24))\/((-30)\/66*2).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/(-5)*(-415)\/6806*-41?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2794217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/1 - (-33 + -16). What is the highest common divisor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - d8d2?\nAnswer: -d8d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90282 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 0. Suppose -z = 4*w - 2*j - 3, 20 = 4*j. Let n = -5 + 5.3. Which is the second biggest value? (a) n (b) w (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -3\/7 (b) 0.01 (c) 4 (d) 5 (e) -29\/11 (f) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from otcty.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(32)\/sqrt(2))\/(2*sqrt(288)) - ((sqrt(12) - sqrt(48)\/sqrt(4))*3)\/(sqrt(150) - (sqrt(150) + -1*sqrt(150))))*-5)**2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21872471*r**2 - 21991815 with respect to r.\nAnswer: 43744942*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-2))\/(-5)*-3*(-2)\/(-15)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/13))**(-4)*(((d**(-1)\/d)\/d)\/d)**(1\/41))**(-4\/3) assuming d is positive.\nAnswer: d**(-448\/1599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10520 * -9735\nAnswer: 102412200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*4 + (-37)\/(-21)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*m - 251*m + 22269 = 225*m - 55*m for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14539187 (base 10) to base 16\nAnswer: -ddd9b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {c: 2, z: 4, s: 1, b: 3, e: 4, y: 1}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -11*g**2 + 22*g + 13. Let u(p) = -5*p**2 + 11*p + 6. Let y(m) = 9*u(m) - 4*z(m). Let d = 1 + 10. What is the remainder when y(5) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 6 = 2*v - v, -2*v + 5*l + 24 = 0. List the prime factors of -1*47\/(-1) + v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57612*f**4 + 23*f - 306 wrt f.\nAnswer: -691344*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-15092)\/3087*(-28)\/(-231))\/((-8)\/42)\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 406, 851, 1342, 1885, 2486, 3151, 3886, 4697?\n\"Answer: v**3 + 17*v**2 + 387*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, n: 13, b: 5}. Give prob of sequence nba.\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -1\/8*k**4 + 1\/40*k**5 + 63*k + 1 + 1\/4*k**3 - 1\/4*k**2. Factor m(g).\nAnswer: (g - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u - 3. Let v(q) be the first derivative of -q**2 - 28*q + 1383. Let h(n) = n**2 - 7*n - 6. Let x be h(6). Let l be v(x). Determine i(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1480 is divided by 369.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 671, 1344, 2017, 2690?\nAnswer: 3363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -198.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -49573.1, -0.9, -3, -4 in ascending order.\nAnswer: -49573.1, -4, -3, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-115)\/26 - 15\/(-5). Let p = 1\/13 - r. Which is the third biggest value? (a) p (b) -0.1 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1788)\/42)\/(2*(-29)\/(-203))?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*d = -22, -53 + 43 = -t - d. Which is greater: t or 355?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*l - 2104 - 2207 = 1313*l - 445*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y. Let c(g) = g**2 + 2. Let u(i) = c(i) - 5*x(i). What is the tens digit of u(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**3 + 100*f**2 + 80*f - 1600 = 0 for f.\nAnswer: -4, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -72*m**3 - 601*m**2 + 1098586 wrt m?\nAnswer: -216*m**2 - 1202*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**3 - 1. Let f(q) = -q - 5. Let s(x) = -x**3 + 7*x**2 + 6*x + 10. Let g be s(8). Let n be (g\/8)\/(1\/8). Let l be f(n). Determine p(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(7) + -5 + -4.\nAnswer: -8 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6825 = -5*h + 3*o, -41*o = -43*o + 10. Calculate the smallest common multiple of h and 6.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282619 is divided by 10075.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 = 5*w + 7*q + 2*q + 36, 22 = -q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12411044 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57928 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 13*b - 111. Let w(f) = 3*f + 2. Let q(i) = s(i) + 2*w(i). Let r be q(5). Let k(y) = -y - 3. Determine k(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from {l: 2, u: 4, a: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 201917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 times 253420?\nAnswer: -18246240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.27 + 0.02. Let x = 66 + -66.35. Let p = x - y. Is p not equal to 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 1017*p + 232*p + 301*p + 309*p.\nAnswer: -175*p - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126017 by -23.\nAnswer: -5479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14376 - 14371. Let x = 33 + -32. Solve g - x = 6*g + 4*q, -2*g - 7 = -a*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*3.7.\nAnswer: 14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -1 (c) 13125304\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5*b + 32 = 0, 3*g + 7*b - 34 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4108354 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from {t: 1, l: 1, b: 1, j: 1, u: 1, n: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/9 - 296\/(-36). Suppose 4*p + j = 56. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d. Let u(t) = t - 1. Suppose -7*n - 39 = -53. Let b(g) = -14*g - 2. Let v(l) = n*u(l) - b(l). Give w(v(k)).\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5171 = 5*w + 1404, -5*r - w = -32953. What is the thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010 (base 3) in base 12?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 3*y = -95. Let k be -3 - (-2 + (-2 - 31)). Let i = y + k. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 6. Let z = i - -15.9. Let y = -1.62 + z. Round y to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1))**(-21\/8)*n**(1\/6)\/n*n*n*n**(-3)*n assuming n is positive.\nAnswer: n**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 20. Suppose w*c - 35880706 = -5*f, -2*c - f + 2*f + 17940346 = 0. Let x = -14850174 + c. Round x to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 - 1311?\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2649\/5*s + 3516\/5 + 9\/5*s**2 = 0. Calculate s.\nAnswer: -293, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.93 rounded to 1 decimal place?\nAnswer: 171.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 9*o - 1. Let u(y) = 28*y + 262. What is 3*s(m) - u(m)?\nAnswer: -m - 265","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + sqrt(684)*-1.\nAnswer: -6*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -466885704709 - -0.02\nAnswer: -466885704708.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 11*h**2. Let b(f) = -2*f + 514. Calculate b(d(n)).\nAnswer: -22*n**2 + 514","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386 greater than or equal to 2389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 m when three letters picked without replacement from {m: 3, f: 8}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050983.\nAnswer: 269, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 12:15 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 20 = 5*q - 3*y, -4*q - 2*y + 6 = 0. Suppose 12*p - 485 = 535. Let i = p + -82. Put 1, q, i in descending order.\nAnswer: i, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*q - 91 = 262*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 47334.\nAnswer: 47329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3465 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z**2 + 4*z. Let u be j(4). Let x be (-18)\/21*u\/12. Sort -1, 0, x.\nAnswer: -1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1073 - 776. What is the highest common divisor of i and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*n + 13689 - 1127 - 1978 = -1208*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -121 + -1752?\nAnswer: -1873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/((18\/(-15))\/3). Let y = -9 - k. Let z = 8 - y. Solve 3*a = a - z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = -12*n - 279 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 2:16 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**6\/30 + f**5\/15 + 5*f**2. Factor t(l).\nAnswer: 4*l**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 4:15 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o = -341918 + 4082776. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 5*q + 3. Let y be f(5). Suppose -43 = -n - y. Factor 3*r**3 + n*r + 18 - 9 + 12*r**2 - 3.\nAnswer: 3*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o**2 - 9*o**2 - 114 + 114 + o**2.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-142)*(-44 + 31106\/721)*(-2)\/(-6)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 25 = 19. Let u = b - 31. Calculate the least common multiple of 12\/u - (-116)\/14 and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 divided by 8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-14)\/t**(2\/7) assuming t is positive.\nAnswer: t**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -114*(-22)\/(6688\/8). Solve 90*a**d + 0 - 12*a**2 - 189*a**4 + 147\/2*a**5 + 0*a = 0 for a.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44849363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*f + 36 = 0, -f + 18 + 18 = 4*o. Let k = -108 + 164. What is the greatest common factor of k and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40326?\nAnswer: 2, 3, 11, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 2*w**4 + 0*w**4 + 0*w**4 + 0*w**4 - 2*w**4 + (2 - 2 + 2*w)*(2*w**3 - 2*w**3 - 2*w**3) + 4*w**4 + 3*w**4 - 5*w**4 + 3*w**4 + 11*w**4 + 16*w**4.\nAnswer: 27*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 8. Let k(c) = -10 + c**j + 10. Let u(r) = 2*r**2. Determine u(k(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3358890219?\nAnswer: 3, 22343, 50111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2140 + -2364?\nAnswer: -4534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25875 + 40967. Round q to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 - -92. What is the closest to l in -1, -0.1, 67?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 28225?\nAnswer: -112900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3993 + 4132. Calculate the remainder when i is divided by (-2 - -2 - -2) + 33.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 3, w: 10, n: 1}. What is prob of sequence ns?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < 74\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.30268 rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 428 + -3?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(6 - 289\/51). Let u(s) be the third derivative of 0 + 0*s + 10*s**2 + 1\/6*s**3 + o*s**4. Determine u(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkpppxkk.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, -16, -41, -74, -115, -164, -221?\n\"Answer: -4*z**2 - 5*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -2 (b) 0.5 (c) -332519 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12*(36\/27 + (0 - 0)). Solve 10 - b = -3*o, 2*k = 5*o - 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**0*k*k))\/k**(4\/7)*(k**12\/k)\/(k\/(k*k**(-7\/4))) assuming k is positive.\nAnswer: k**(215\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11450760 and 55500.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 346\/18 - (-1045)\/(-55). Which is the second smallest value? (a) -3\/10 (b) 5\/26 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/954584 and -111\/70190?\nAnswer: 4772920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -0.1, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1231 - -4)*1\/3. Let o = -192 - m. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -52, -21, 14, 53, 96?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 705.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 883782.6um in kilometers?\nAnswer: 0.0008837826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3213*n = 3212*n - 4*b - 9, -4*n = -4*b + 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002513733961 rounded to 6 decimal places?\nAnswer: 0.002514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/230130 and 97\/7050.\nAnswer: 54080550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/20)\/(9\/(-288)*-8)*(-8)\/(-284).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o - 36*o + 1216 = -4*t, 2*o + t - 2405 = 0. What is the least common multiple of o and 48?\nAnswer: 14448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - ((-12)\/(-12) + 53).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/286*-33*-14*14\/(-14847)?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1265 and 7590?\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7825 (base 14) to base 12\nAnswer: 10061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + (3 - (-2 - -5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 13*y - 20. What is the remainder when 34 is divided by f(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2107054 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007413 rounded to six decimal places?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12231203 (base 4) in base 15?\nAnswer: 822b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 6 = -69. Put 1, t, 0, 5 in descending order.\nAnswer: 5, 1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 2*o - 1870. Let h = o - 59. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -679049018 - -69249165667\/102. Let n = -135628 - y. Find the common denominator of n and 121\/20.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9950 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - 48. Let s = -113 - h. What is s rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + -2*(-4 + 1 + sqrt(68) + 2 + -1 + sqrt(68)*-1)**2).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 38 - 105 = -17. Solve 28 = 2*p - o + 30, 0 = -2*p - 2*o - j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2*m + 12 + 34 + 24.\nAnswer: -2*m + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -321, -797, -1437, -2247, -3233, -4401?\nAnswer: -5757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzffzfzzzfzf. What is prob of picking 2 f and 1 z?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 602 - 563 = -4*j, 0 = 5*k + 15 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - y**2 - 86*y - 609. Give g(-7).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8990 + 63403\/7. Let k = q - 253\/14. Let f = -252839\/22 - -11497. Calculate the common denominator of f and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19\/2, 3, 0, -2\/7, -25 in ascending order.\nAnswer: -25, -2\/7, 0, 3, 19\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.113 - -12.913. Let j = f - 13.2. Let x = 2 - -1. Which is the third smallest value? (a) j (b) x (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 320055 and -73?\nAnswer: -23364015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.38474 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**4\/2 - 14*z**3\/3 + z**2 - 14*z - 39. Let g be j(7). Determine f, given that 2*f**3 - 14\/5*f**2 + 4\/5*f + g = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1330754 - 374*o**2 - 1330754)*(4 + 1 - 2) as f*o + t + a*o**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2749043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = m + 18, -5*m + 5*d - 9*d = 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**3 - 6*z**2 - 6. Let x be (-308)\/55 + (-2)\/5. Let b(y) = -y**3 + y**2 + 1. Give x*b(c) - m(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 118*g + 243. Let n be u(61). Sort n, -0.2, 0.5, -9, -5 in decreasing order.\nAnswer: 0.5, -0.2, n, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*(-4 + sqrt(2736)*-1 - sqrt(2736))*6 - (((sqrt(2736) + 1 - sqrt(2736))*-3 - (sqrt(2736) + -1 + sqrt(2736)*-1)) + -5))**2.\nAnswer: 4896*sqrt(19) + 394273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(117)\/(1*1*sqrt(9)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -2\/3, -3, -1\/7, -136?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6897 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -96+-4.5\nAnswer: -100.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*(-11 - 203\/(-21))\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 193 + -111. What is the smallest common multiple of b and 22?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 76 - -1 - (-3)\/1. Let t(m) = -f - m - 4*m + 64. What are the prime factors of t(-10)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - o**2 - 1. Let s(n) = n**3 - 4*n**2 + n - 2. Let m = 2 - -2. Let b be s(m). Let t be g(b). Which is greater: t or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-80)\/(-28) - ((-90)\/(-21))\/15. Suppose 24\/7 - 36\/7*w + c*w**2 - 3\/7*w**3 = 0. Calculate w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 11 + 12 = -2*g, 2*b + 16 = 5*g. Let r(w) be the second derivative of 19*w**3\/6 - 15*w**2 + w. What are the prime factors of r(b)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 27 = 6*w - 10*w + 9*w, 3 = 3*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12878618 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5236983013 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.05 (b) -0.3 (c) 17082\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 19. Let f = -133923 - -2007778\/15. Let x = f - -71. Which is the nearest to 0? (a) s (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 11 - 32 = -j, -3*j - 8904*x = -8909*x - 97 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -1. Suppose 0 = -2*y + t*y + 25. Which is the smallest value? (a) y (b) 0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 370 and 15961430?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 579674 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -7 - 28) + 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19536 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, m: 1, h: 3, e: 2, a: 1}. What is prob of sequence emah?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) 0.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 + -0.98. Suppose -2*v = 3*x - 22, -13 - 27 = -2*x + 5*v. Suppose x*u - 18 = -68. Sort 14, t, u in increasing order.\nAnswer: u, t, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 - 4*c**2 + 2 + 4*c**4 + 6*c**2 + 0*c**2 to v*c**4 + l*c**2 + n*c + h*c**3 + t and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1313.\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-22)\/b*b**(1\/3))**21)**45 assuming b is positive.\nAnswer: b**(-21420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 + 116 = 3*v. Let a(j) = -j + 0 + 6 + 3. Calculate the remainder when v is divided by a(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.383 + 22236.\nAnswer: 22258.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11*a**3 - 2*a**2 - 2. Let d be (1 + 1)*(-16 - -15). Let n(m) = -56*m**3 + 11*m**2 + 11. Determine d*n(f) - 11*i(f).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 - 376972*z\/5 + 35526972196\/5.\nAnswer: (z - 188486)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -2, 45, 242, 0.1?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-770)\/66*(-6)\/(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3027*z - 20*z**2 + 2 + 36*z**2 - 15*z**2.\nAnswer: z**2 + 3027*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 896*o**2 - 1792*o**2 + 897*o**2. Let b(k) = -103*k**2 - 1. What is b(y(t))?\nAnswer: -103*t**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j. Let n(z) = -5. Let q(c) = -6. Let a(k) = 5*n(k) - 4*q(k). Let x(s) = 5 + 3 - s - 1. Let p(o) = -14*a(o) - 2*x(o). Calculate p(m(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 305755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 4. Suppose 5*a - 37 = -4*k, -k - 3*a - 21 = -n*k. Let m(v) = -v**2 + 13*v - 8. What is the remainder when 63 is divided by m(k)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73.4832567 - 0\nAnswer: -73.4832567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -649, -1441, -2551, -3979, -5725?\nAnswer: -7789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360699 is divided by 360632?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 77?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 1:49 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9954268 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-45)*-1*15*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*w - 3 = 0, 358*x - 356*x - 6 = -6*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -330*x**5 + 903*x - 1 wrt x.\nAnswer: -6600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -641 - -4465\/7. Is u greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 8060.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 38. Calculate the remainder when 2821\/39 + n - (-1)\/(-3) is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.1, -96, -1.12, 1?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 8*g**2 + 2*g - 28. Let k be t(-7). Suppose -c - 3 + 4 = 0. Put k, 0.2, 1\/4, c in decreasing order.\nAnswer: k, c, 1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 0*o + 616*o**3 - 582416 - 77*o**3 + 582421.\nAnswer: 539*o**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - 2*y. Let b be d(-2). Let m be -1 + 1\/3 + 14\/3. Suppose 5*p = -2*j + m, 14 + 9 = -5*j + 4*p. Which is smaller: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 11*n. Let o(p) = -4*p + 4*p - 11*p. Let g be 1 + 5\/1 + -4. Let k(v) = g*o(v) + 3*a(v). Find the second derivative of k(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15043 - 11298. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -1 + (29 - -3). Let f = -21 + u. Let y(p) = -4*p - 2. Let z(b) be the first derivative of -17*b**2\/2 - 9*b - 1. Calculate f*y(k) - 2*z(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6086.753595 rounded to one dp?\nAnswer: -6086.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 9*t**2 - 16*t - 26. What is the tens digit of q(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15, 0.3, 0.04, 32?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*q + 14 - 3, -3*u - 5*q = 17. Let i(l) = -l**2 - 5*l - 5. Let v be i(u). Does v = -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 5. Let s be t(10). Calculate the highest common factor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 146376 = 158*m - 159*m, z = -5*m + 146388. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**2 + z + z**3 + 2551 - 2581 + z**3)*(-1 - 9 + 2) to n*z**2 + f*z**3 + b + k*z and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + 2 + sqrt(245) + 4 + 1 + sqrt(245)*2)**2.\nAnswer: 392*sqrt(5) + 3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 39398990 to the nearest one hundred thousand.\nAnswer: 39400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 292 times 308\nAnswer: 89936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5470*b**3 - b**2 + 3*b - 1. Is z(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*n = n - 5, -5*u - 4*n = -45. Suppose 3*w + u*s = 18, 39 = 3*w - 0*s - 2*s. Suppose -5*a = -w - 9. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5215.226km in micrometers?\nAnswer: 5215226000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3602904 divided by -12\nAnswer: -300242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 l when three letters picked without replacement from dldldllllllldldlddl?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12240, -24214, -36188, -48162, -60136, -72110?\n\"Answer: -11974*v - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 76*c**3 + 1268*c**2 + 7360*c - 19200.\nAnswer: (c - 40)**2*(c - 2)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 3*a + 3. What is i(-5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/8 + 10\/(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.91 - -0.09. Let a = q + -8.93. Let y = -2.27 + a. Round y to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4219.09 * 2\nAnswer: 8438.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136908 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: What are the prime factors of 112355?\nAnswer: 5, 23, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -778245 (base 14) to base 11\nAnswer: -2320440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 - 2*v**2 - 5*v - 5. Calculate t(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 639261 and 994406?\nAnswer: 8949654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - -20. Let q = c - 37. Suppose 3*l**3 - q*l - 3\/4*l**4 - 9\/4*l**2 + 3 = 0. What is l?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4*n - 9)*(-n + n + n - 8*n - 6*n + 5*n + (0 - 4 + 2)*(5*n - 3*n - n)).\nAnswer: 40*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -278.3826 < -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1565*k = 3111*k - 1580*k + 1428 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -370744 = -370747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -29037.8 rounded to the nearest one hundred?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*x + 18273 - 1281. What is the remainder when x is divided by 50?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**4\/4 - 4*o + 12. Differentiate g(j) wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -4*n + 16, -3*n + 13 = 4*q + 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/20)*g**(-1))\/(g**(1\/2)\/(g\/(g*g\/g**(1\/17))*g)))**(15\/8) assuming g is positive.\nAnswer: g**(-1521\/544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 6*z + 26. Let b be l(14). Let x = 36 + b. Is 29 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 + (53 - 216) - (77 + 0)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 18. Suppose -r*v - 13 = -45. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 2, c: 1, o: 3, z: 7}. Give prob of sequence zh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) + 18\/4. Solve b - r = -3*r - 4, -b - x*r - 10 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1678*u = 1676*u + 48. Calculate the smallest common multiple of u and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59088 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 655029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2030*w + 123*w**4 + 4528*w - 2193*w wrt w.\nAnswer: 1476*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 t when three letters picked without replacement from gtzgtgtyugz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23565741 (base 9) in base 8?\nAnswer: 53673161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 - 25511*n**3 + 267417*n**3 - 3*n**2.\nAnswer: 241906*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 13, q: 5}. Give prob of sequence eqe.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -713, -1517, -2455, -3569, -4901, -6493?\nAnswer: -8387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*l**4*o + 3*l**4 - 3*l**3*o - 6*l**2 - 31*o - 1 wrt l.\nAnswer: 264*l*o + 72*l - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2596*i**2 + 2 + 1368*i**2 + 186*i**2 to z*i + n*i**2 + u and give n.\nAnswer: -1042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 16*o - 15*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5594 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: Simplify (0 + ((sqrt(45)*3)\/sqrt(9) - sqrt(5)*3*1)**2 + -5)*2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 124968192 a multiple of 1798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115014 and 1126302?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -159, 2\/17, 2\/13, -1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3780 and 220.\nAnswer: 41580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 14) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Suppose 0*m - 3*m + w*j + 12 = 0, 3*m - 9 = 4*j. Solve -3 = u - m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 129728 and 32432.\nAnswer: 129728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 620 + -469. Find the third derivative of n**5 + v*n**2 - 166540*n**6 + 166628*n**6 - 42*n**2 wrt n.\nAnswer: 10560*n**3 + 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4563 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 992151?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 0\/(-2 - 1). Suppose -2*a = r*a + 36. Let n(o) = 2*o**3 + 5*o**2 + 4*o - 6. Let v(l) = 5*l**3 + 11*l**2 + 9*l - 13. Determine a*n(i) + 4*v(i).\nAnswer: 2*i**3 - i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004272 rounded to four decimal places?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(20280\/(-53235)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(sqrt(3) + -1*sqrt(363)))\/(sqrt(32)\/sqrt(4)*-5) + -1)**2.\nAnswer: -sqrt(3)\/50 + 10003\/10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.59 - -0.32. Let t = -0.57 - f. What is the smallest value in 1\/5, -2, 1, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1548.258724331 and 0.27?\nAnswer: 1547.988724331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 18*m - 2. Let g(o) = -72*o + 5. Let l(r) = 14*r - 1. Let t(p) = -g(p) - 5*l(p). Give t(i(j)).\nAnswer: 4*j**2 + 36*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -211332, 1, 2\/45?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 15*y**2 - 5*y - 36. Let v be n(12). Calculate the highest common divisor of v and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**4\/24 + n**2\/2 - 2. Let i(p) be the second derivative of d(p). List the prime factors of i(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 404 (b) -3 (c) -1\/4 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1062 + 1563. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*w - 6*w, 5*w + 60 = 5*d. Suppose 0 = -3*h - 2*f + 6 + 6, 1 = 5*h - 3*f. What is the third derivative of -3*o**2 - 2*o**4 + d*o**2 - 12*o**h wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/1 + -5 + -1. Is 20 a factor of (-554)\/(-14) + j\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691381115 to the power of 1\/2, to the nearest integer?\nAnswer: 26294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(624) - (sqrt(624) + sqrt(624)*1)) + sqrt(624)))\/(3*sqrt(300)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 114\/17? (a) 197 (b) 0.3 (c) 3 (d) -0.5 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 3, z: 4, g: 8, p: 1}. What is prob of picking 2 z and 1 y?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16871 + -16871. Which is the closest to p? (a) -3 (b) -1 (c) 0.346\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15599699 and 993?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*y + 4, -5*v + 11 = -2*y - 7. Let p(k) = -6*k + k**2 - 1 + 2 + 0*k**2. Let c be p(5). Is y at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/13, 1\/3, 1\/6, 3, -4 in decreasing order.\nAnswer: 3, 1\/3, 1\/6, -3\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590742693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/7))**(-45) assuming n is positive.\nAnswer: n**(-225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48986 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826635 is divided by 3042.\nAnswer: 2253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -39878 equal to -32374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 4*u**2 + 4*u - 7. Let t = 2 - 7. Let p be w(t). Let a = p - -4. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**25*w\/((w*w\/(w*w**(-1\/3))*w)\/w))\/(w\/w**12*w**19\/w) assuming w is positive.\nAnswer: w**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27316 - 16162. Calculate the greatest common divisor of o and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -37*k + 1. Let i(t) = -t - 1. Give -b(q) - 2*i(q).\nAnswer: 39*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b + 1. Let d(o) = 173*o**2 + 1038*o - 519. Let g(r) = d(r) + 519*q(r). Let p(j) = j**2. What is g(p(m))?\nAnswer: 173*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.009, -4143, 2?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -753 by 211413.\nAnswer: -251\/70471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n + 0*n - 3*n + 0*n + 17. Let v be a(7). Is (-1005)\/(-75) + (-4)\/v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-42)*4278\/(-27094)\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -184.5 - -185. Sort 0, -3\/7, 3, o in descending order.\nAnswer: 3, o, 0, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1966360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555 = -2*w + q + 404, 5*w = 4*q + 2399. Suppose 0 = -7*f + 1166 + w. Is f a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*w - v + 22, -3*w + 9 = 3*v. Suppose 38 - w = 3*y + 4*g, g = -2*y + 19. Suppose 0 = -f - 2*f + 9. Solve 0*z - y = f*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4*r**2 - 8908665*a**2 - 3*a*r**2 + 16966*a - 4*r**2 - 6 wrt a.\nAnswer: 24*a**2*r**2 - 17817330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025095 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 1 - 5. Let w(h) = 4*h**2 + h**2 - 3*h**y. Let x(g) = -52*g**2 + 25*g**2 + 15*g**2 + 7*g**2. Determine x(w(t)).\nAnswer: -20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 140190?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 13*p**2 + p. Let g(n) = -30*n**2. Determine b(g(t)).\nAnswer: 11700*t**4 - 30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 0*w + 1\/6*w**3 - 3\/2*w**2 - 55. Solve q(i) = 0 for i.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**5 - 6*m**4 + 18*m**3 + 62*m**2 - 72 = 0.\nAnswer: -3, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 930*w**2 + 15955*w - 15030.\nAnswer: 5*(w - 167)*(w - 18)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -5. Let p = 2 + -5.9. Let c = p - o. What is the nearest to 2\/7 in -1\/5, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27885.\nAnswer: 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.922709.\nAnswer: -0.3690836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 4) in base 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -792407*z**4 + 11*z**3 + 724181*z**2.\nAnswer: -19017768*z + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 0 + 0*n + n**2 + 1\/24*n**4 + 0*n**3. Let o(h) = -1669 + 0*h + 1669 - 4*h. What is 6*m(y) + o(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*t - 4*x, -2*t + t + 5*x = -10. Let l(h) = -h**2 + 0 + 9 - 3 + 3*h. Let a be l(t). Does -5 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 12:34 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 1418*x**2 + 31 - 60.\nAnswer: 1418*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 15*l**2 + 3. Let q be b(-15). Suppose -r = 4*y + 38, 2*r - 5*y + 65 = -q*r. Which is smaller: -17 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 23. Let f be z(-13). What is the units digit of ((-8)\/f)\/((-4)\/710)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b - 0*b - 1148. Let d = -155 - b. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 30*j + 37. Calculate w(-17).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172926 is divided by 483.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1275) + -5*1*sqrt(1275))\/((sqrt(3) + ((-2*sqrt(6))\/sqrt(2) - sqrt(3)))*6).\nAnswer: 25*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 818835 and 4945005.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1634291 and -1634314 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(17\/(-799))*2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2382 + -107?\nAnswer: -2489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/96)\/((-12)\/8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 779 divided by 19.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 5*d**2 - 2. Let f(t) = -t**2. Let z(h) = 6*f(h) + j(h). Let q = -31 - -33. Suppose 5*a = a - q*v - 8, -a - 2 = -3*v. What is z(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + sqrt(396)*3 - (-3 + (sqrt(396) - (-2 + sqrt(396))))) + -4 + 3)**2.\nAnswer: -648*sqrt(11) + 14337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**5\/20 - 7*g**4\/12 - g**3\/2 + 2*g**2 - 13*g - 27. Give u(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6702624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/3, 0.1, 0.1842, 0 in decreasing order.\nAnswer: 3, 1\/3, 0.1842, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x**5 + 200*x**4 + 1885*x**3 - 3770*x**2 - 26320*x + 9120 = 0. Calculate x.\nAnswer: -6, -4, 1\/3, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 56645142?\nAnswer: 56645142.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48515 and 620.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/3)*o*(o\/((o**8*o)\/o))\/o*o)**(-44))**(-28\/9))**(-5\/9) assuming o is positive.\nAnswer: o**(123200\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-72)\/330 + (-4)\/(-10). Let v = 31 - 29. Suppose 4*g - j = v, 3*j - 2 = 4*g - 0*j. Which is the biggest value? (a) g (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 343 - 170. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from {p: 1, x: 3, b: 3, o: 6}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Let w(v) = 2. Let s(q) = 3*t(q) - 3*w(q). Let d(n) = 2*n + 3. Let j(p) = 11*d(p) + 6*s(p). What is j(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6465235 is divided by 1843?\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 6 (b) -2\/7 (c) 0.3 (d) -6\/11 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -45*y - 49*y + 92*y - y**3 + 18 + 12*y**2. Let w be r(12). Suppose -27 = 3*a + 3*p, 21 = -a - 0*a - 5*p. Are a and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30912 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 0.26.\nAnswer: 0.0182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 minus 2460.05098?\nAnswer: -2488.05098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -9*v**2. Let w(k) = -168381*k**2. Calculate w(l(y)).\nAnswer: -13638861*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 + 47)*(-6 - -3 - -1). Let u = -77 - d. Solve 0 = -h - 0*h + u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12*(-1 + 2 + -2). What is the greatest common divisor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-21 - 2 + 4)*(-21*z**2 + 26*z**2 - 23*z**2)*(0*z**3 - 2*z**3 + 3*z**3).\nAnswer: -684*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*i*n**5 - 3*i*n**3 + 714*i*n**2 wrt n.\nAnswer: 780*i*n**2 - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-41)\/(-5))\/((-18)\/(-5)). Let i = 113\/315 - -38\/35. Let r = g - i. Calculate the common denominator of 131\/6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -16. Let h be n\/(-8) - (-6)\/(-24). Suppose u + 0*u - 2*g + 2 = h, -3*u + g = -4. Solve -15 = -u*b - b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1094592270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115 - -132. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2 - 38*w\/7 - 12\/7 = 0?\nAnswer: -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3)\/((252\/8)\/(-3)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - (2 - (7 + -2)). Suppose c - 4*c + 4 = -4*j, -4*c + l = -3*j. Suppose -c*p - 5 = 7. Which is greater: p or -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 8 - 13 = -5. What is the closest to u in -2\/13, -24, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 6 (c) 14 (d) 0 (e) -0.2 (f) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -12*b**2 - 1. Let h(g) = -g**2 + 1. Calculate 3*h(i) + t(i).\nAnswer: -15*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 28 + 0 - 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5080*b. Let x(q) = 4. Let f(t) = t - 40. Let c(m) = -f(m) - 10*x(m). Determine c(s(u)).\nAnswer: -5080*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d*j - 1733591*d + 307567*j - 1 wrt j?\nAnswer: d + 307567","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 28843590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2700046 is divided by 2495?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h - 57*h + 31*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -48, -6, -2, 5, 7, 21 in descending order.\nAnswer: 21, 7, 5, 3, -2, -6, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321878 is divided by 4954?\nAnswer: 4822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 + 8*m + 31. Does 27 divide n(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236513673 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**7\/2520 - s**6\/120 + s**5\/60 - 3*s**4\/4 + 11*s**2. Let v(m) be the second derivative of x(m). Determine v(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -14 (c) 1\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -929, -7716, -26155, -62078, -121317, -209704?\n\"Answer: -972*a**3 + 6*a**2 - a + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.940874ug to nanograms.\nAnswer: 3940.874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y**3 + 23*y**3 - 41*y**3 + 1 - 1.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 smaller than 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2032.96835 - 2033. Round j to 3 decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 31*r**2 - 40*r - 180. Let f be s(-32). Is f greater than or equal to 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + 0. Suppose 9*t - m = 6*t. Suppose 2 - t = 5*i - 5*u, 3*i - 5*u + 16 = 0. What is the nearest to 2\/5 in -3\/2, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1402, -2113, -2824, -3535, -4246, -4957?\nAnswer: -5668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20964340*r**3 + 2659684 wrt r.\nAnswer: -62893020*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 39a8bc9 - 0?\nAnswer: 39a8bc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**4\/12 - k**3\/6 - k**2\/2 - 13*k. Let b(r) = 4*r**2 - 5*r - 5. Determine b(q) - 5*u(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/491287 - -982556\/4421583. Let b = 8 + -4. What is the second smallest value in -0.5, b, 3\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -79565*q**2 - 159140*q - 20.\nAnswer: -5*(q + 2)*(15913*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 5 (b) -20 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 19, m: 1}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*l + 360, 5*y - l + 2*l + 368 = 0. Let g = -220\/3 - y. Let w = -8 + 3. Which is the second biggest value? (a) w (b) g (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 96*y - 10. Let w(h) = -191*h + 18. What is -6*w(k) - 11*z(k)?\nAnswer: 90*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**2 - 6060*b + 42665 = 0.\nAnswer: -1219, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-6))\/(-5)*(-10)\/10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 380, 770, 1160?\n\"Answer: 390*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164424605 to the nearest integer?\nAnswer: 12823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -52*p - 32. Let k(j) = j. Determine k(d(t)).\nAnswer: -52*t - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - -2)*4\/10. Let p be (-33)\/(-3)*1\/1. Let z = q + p. What is the least common multiple of 9 and z?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*g - 499, 6*z - 143 = g + 2*z. Suppose 1340 = -3*r + 7*r + 3*b, -5*r = -4*b - 1644. Let h = g + r. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 399 + 2001 = 6*u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -14. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6602361*l**4 + 100*l**2 - 11489*l - 2?\nAnswer: 158456664*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 25. What is the hundreds digit of (-2506)\/(-21) + j\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2284?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 20*k = 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166692925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3*t - 4*t + 1)*(271 + 398 - 127)*(4 + 0 - 2)*(-2*t**3 + 4*t**3 + t**3) in the form y*t**4 + a + c*t**3 + v*t**2 + m*t and give y.\nAnswer: -3252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2891 + -2730. Suppose 0 = -p - 4*j + 34, 2*p - 3*p = -2*j - 46. What is the remainder when u is divided by p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**4\/24 - 3*y**3\/2 - y**2. Let b be x(9). Suppose -u + 2*u = b. Which is smaller: u or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 3, w: 3, x: 1, h: 5, o: 6}. What is prob of picking 2 p and 1 x?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78366927?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 3*q)*(-2*q**3 - q**2 + q**2) + 108*q - 108*q + 27*q**4 + (3*q**3 + 0*q + 0*q)*(11 - 11 - 24*q).\nAnswer: -49*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + s**2 - s. Let g(d) = -2*d**3 + 8*d**2 + d + 1. Let j(k) = g(k) - 3*y(k). Let w be (-2)\/(-6)*((-286)\/(-1287) - (-220)\/(-18)). What is j(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/31783 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16692 and 660?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 11 = 4*i, -3*g - 17 = -0*i - 2*i. Let k(w) = -1 + 2*w + 2 + 1. Let x be k(i). Solve x*n = n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 22 + 22*n - 22. Let p(i) = -6*i**2. Give g(p(c)).\nAnswer: -132*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013476457 rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 10:54 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 62*j**2 + 284*j - 17. What is w(-57)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-53070)\/280)\/183?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/35 - 36\/28. Are -1\/23 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 25*z - 55. What is j(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.27 + -29.4. Which is smaller: 18 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20104\/(-2970366)*3\/2.\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/66 + (-7)\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 28 = 5*n, 1 - 6 = -5*k. Let q = -1 - n. Calculate the remainder when 14 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 5*l + 2 - l - 33*l**3 + 29*l**3. Calculate the remainder when y(-2) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*k - 18, -k + 4*k = 9. Suppose 0 = -3*o + c + h*c - 6, 0 = -5*o + 3*c + 1. Solve -y + o*y - 2 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1248 * -3\nAnswer: -3744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4350 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 32 = -2*w, -4*i + 7 + 1 = 0. Let r = 5 + w. What is the remainder when 46 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 o when four letters picked without replacement from {n: 10, o: 6, p: 1}.\nAnswer: 135\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2 - 2)*(1 + 1 - 5) + 3 + 16352*m - 5 - 16911*m.\nAnswer: -556*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31137 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 38, -600, 242 in decreasing order.\nAnswer: 242, 38, -3, -600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = c + 45. Let w(o) be the third derivative of -o**4\/4 - 5*o**3 + 657*o**2. Calculate the least common multiple of 27 and w(c).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 1:43 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 2\/13, -103.\nAnswer: -103, -0.6, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(6*v + 32 - 32 - 2*v - 1 + 1 - v + 0*v + 2*v - 2*v + 3*v + 0*v + (-v + 3*v + 0*v)*(4 + 3 - 5) + 2*v - 2*v + 2*v - 2*v - 4 + 4).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**10\/10080 + o**6\/720 + o**4\/6 + o. Let b(z) be the third derivative of s(z). What is the second derivative of b(a) wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 - 2*l**2 - 19*l + 9. Let x be i(12). Let t be (x\/2)\/((-24)\/11296) + -2. Round t to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 297*b. Let q(w) = 4333*w**2 + 2*w - 4. Calculate q(t(z)).\nAnswer: 382209597*z**2 + 594*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -252 + 85 + 1061*w - 1059*w as g*w + k and give k.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**2 + 6*y + 6. Let t(n) = -14*n**2 + 17*n + 17. Let o(r) = 6*t(r) - 17*w(r). Let s(m) = 128 - 43 - 30*m**2 - 39 - 46. Give o(s(q)).\nAnswer: 900*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.54 - 0.66. Let y = -60 + 83. Let r = y + z. What is the biggest value in r, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 6\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3516*w**2. Let x(o) = 23*o + 1. Let a(u) = -u**2 + 69*u + 3. Let p(y) = -2*a(y) + 6*x(y). Calculate p(v(z)).\nAnswer: 24724512*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 7*r**2 + 7*r + 9. Let s be m(-6). Suppose -12 = s*v + u, -5*v - 2*u - 23 = -2. Let j = 3 + v. Solve j*x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 2*v + 1. Let l be g(-1). Suppose 0*j = -l*j, -q - j + 37 = 0. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 5*o**2 - 2*o + 6. Let h be b(5). Let r(z) = -z**2 - z - 1. Let f(m) = -7*m**2 - 9*m - 3. Let l(t) = -f(t) + 6*r(t). Determine l(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/19? (a) -1 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -414 + 227. Let l = 166 + i. Put 0, l, 5 in descending order.\nAnswer: 5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-1)\/(((-12)\/(-2))\/(-1))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.597526 rounded to one dp?\nAnswer: 57.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42821751 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -935148*t**2 - 935148*t**2 + 1870292*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1153 is divided by 587?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 81813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 13434386 and -2.\nAnswer: 13434384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 - 2*y**4 + 2*y**4)*(-3 - 1 + 5) - 3*y**3 - 18*y**4 + 3*y**3 + 3*y**3 - 351*y**4 + 15*y**3 - 18*y**3.\nAnswer: -367*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.07 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5 - 2*y**4 - 14*y**3 + 26*y**2 - 12*y = 0. Calculate y.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + 1 + (-2979)\/720 and (-105)\/(-2250)*245 + 4\/6.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 - 1) + -4 - -4. Suppose 2*c = -3*c - y. What is the remainder when 49 is divided by 126\/10 + c\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 7) + 5 + -18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) -4 (c) -657 (d) 1846 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -13*k - 109. Let y(w) = -154*w - 1309. Let i(b) = 49*r(b) - 4*y(b). Let a be i(-6). Calculate the highest common factor of a and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2. Let u(k) = 32 - 6*k - 16 - 14. Give w(u(h)).\nAnswer: 72*h**2 - 48*h + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*g**3*q + g**2*q**3 - 2*g**2*q**2 + 19*g*q**3 - 2*g*q**2 wrt g?\nAnswer: 114*g*q + 2*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Let p = -6 - -11. Determine m(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 118 - -36 - -61?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 0 - 5) + -3 + 16\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 100474171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:52 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*t - 19. Let f = t - 2. Factor 2*k**3 - 5*k**3 + 2*k**f - k**4.\nAnswer: -k**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, w: 2}. Give prob of picking 3 o.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 2744*w**6\/5 + 588*w**5\/5 + 21*w**4\/2 + w**3\/2 + w**2 + 37*w - 178. Let y(j) be the second derivative of c(j). Factor y(t).\nAnswer: 3*(28*t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1078 - 1407 = -3*f - y, -2*y = 2*f - 1658. Let r = f - 484. What is the greatest common factor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*((v**29\/v)\/v)\/v*v*v**33*v*v*v\/v**(-28)*v**(1\/12) assuming v is positive.\nAnswer: v**(1105\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2358 and 70478?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + 0*g**3 + 3*g**3)*(-2 + 2 + 1) + (3*g**2 + 0*g**2 - 4*g**2)*(0*g + 2*g - 3*g) + 3*g**3 - 9*g**3 + 0*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(3 + (sqrt(135)\/sqrt(5)*5*3)\/(sqrt(144) + (sqrt(144) - ((sqrt(144) - (sqrt(144) - (1*sqrt(144) - sqrt(144)))) + sqrt(144)))*5)).\nAnswer: 11 + 45*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 10728 = 9402. Is i a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*d - 82, 3*d - 81 = -2*a - 3. Suppose -k - 3*l + 25 = 0, 2*k + k - 5*l = a. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001199839 to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 0\/(-3)) + 2. Let b = t - 1. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 + 152*h**2 - 177*h + 2071. Let l be j(75). Solve l = -3*m + 70 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37620589?\nAnswer: 19, 1980031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*t + 37*t**2 - 256*t + 99*t.\nAnswer: 37*t**2 - 118*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409463 is divided by 1699?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43*p + 1\/4*p**3 + 0 + 47\/4*p**2.\nAnswer: p*(p + 4)*(p + 43)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 20*j**2 + 8*j + 6640 - 6640 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, d: 5, f: 2, m: 3}. Give prob of picking 1 f and 3 d.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 22*n = 20, 2*o = -5*n - 35. Let a = 113 + -78. What is the tens digit of a\/5*(-1 - o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*x + g - 1, -3*x = -g - 2. Let p be (-3 - -2)\/(4\/(-12)). Let o be (-2)\/((-1)\/1) - -1. Solve 0*z + p*z + o = x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by -8.\nAnswer: 135\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - v + 6 - 1 = 0, -4*v + 8 = 0. Let t = 15 - i. Calculate the least common multiple of 8 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4115 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 20007*y + 160056. Give n(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 not equal to -15948\/4465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16385975 is divided by 243.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43918919, 87837842, 131756765, 175675688, 219594611, 263513534?\n\"Answer: 43918923*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 5 + 0)*(w + 5*w - 3*w) + 3 - 3 + w)*(-36 + 105 + 62) + 0*w + 0*w - w in the form k*w + y and give k.\nAnswer: 916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**3 + 634*t**2 + 125*t + 271. Calculate q(127).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(1872\/12)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -119 - -149. Suppose 5*z + f = 25. Let b be (2 - 3) + z + 5. Solve 3*n + 5 = -0*n + 5*q, b*n + 5*q = 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10972*h**4*w**2 + 2*h**2*w + 19*h*w**2 + 554*h*w wrt h.\nAnswer: 131664*h**2*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 20*c**2 + 17211*c. Let x(o) = -o**3 + 12*o**2 + 8607*o. Calculate -5*x(h) + 3*z(h).\nAnswer: 2*h**3 + 8598*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*u**2 + 2*u**2 - 3*u**2)*(-3*u - u + 10*u).\nAnswer: 12*u**3 + 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.12, -1\/4, -0.2?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3827*m**2 + 8463*m - 6. Let y(w) = 3829*w**2 + 8460*w - 8. Let a(o) = -4*b(o) + 3*y(o). What is the second derivative of a(j) wrt j?\nAnswer: -7642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 22 - 18 = -2*u - 44, -55*u = -4*r + 157 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/2)*u)**(5\/6)*(((u*(u\/u**(-9))\/u)\/u)\/u*u)\/(u*u*u\/(u*u\/u**5)) assuming u is positive.\nAnswer: u**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3684 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1408 plus -237.578?\nAnswer: -237.7188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-15)\/(-5)))\/(5\/6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 48. Suppose 0 = -3*g + 3*u + 15, 3*g + 0*g - 4*u = 18. Suppose g*d - 8 = -0*d. What is the lowest common multiple of d and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**4\/12 + r**3\/6 + r**2\/2 - 1062*r. Determine f(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 3*p**2 - 10*p - 17. Let c be g(-4). What is the greatest common divisor of 203 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/15)\/(-17 - (-6523)\/385)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-4)\/(-2)))\/(-12)*2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6*a - 9 = 0. Let r be -48 + -3 + (a - -3). Let w be (1 - -2)*(-5)\/r. Are w and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 20 = 5*m, 2*a + a = m - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (11 + -13 + 9) - -16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-36))\/(6\/(-18))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473 = 15*w + 16*w + 12*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*h - 2116 = 0, -156*h + 158*h = -8. What is the greatest common divisor of 72 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j**3*z**3 + 3*j**3*z**2 - 7*j**2 - 21*j + 2*z**3 - z wrt j?\nAnswer: -30*j*z**3 + 18*j*z**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 2:28 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**3 + 5*v**2 + 4*v - 19. Calculate o(3).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1063, 2111, 3155, 4195?\n\"Answer: -2*n**2 + 1054*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 101110 (base 3) to base 12\nAnswer: 1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2149 + 2152. Let w = -0.2 + -0.3. What is the smallest value in 2\/23, -0.8, n, w?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0095 - -0.0603. Let a = c - -0.0302. What is the closest to a in -4\/7, -0.5, 2\/7, -1\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.03 - -41. What is the fourth smallest value in w, -2, -1\/3, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7960\/(-4025) - (1 - 3). Let v = a + 19123\/1610. What is the common denominator of v and 113\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -5*d**4\/12 - d**3\/3 + 68*d. Let c(n) = -9*n**2 - 4*n. Suppose -f = -12 - 12. Suppose -f + 36 = 2*v. Give v*c(x) - 11*t(x).\nAnswer: x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 4*v**2 + 4*v**2 + (-1 + 18 + 4)*(v + 2*v**2 - v) in the form u*v + p*v**2 + q and give p.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -8*q + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 462 - 450 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 11 + 10 - 13. Determine q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 524.529ml?\nAnswer: 0.524529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180.7 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, p: 1, x: 2, n: 4, t: 1, s: 4}. What is prob of picking 3 n?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 480. Calculate w(-35).\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*h - 585 + 611 + 17*h in the form z + j*h and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22794 is divided by 22785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/16, 2\/9, -1\/8, 3\/2?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*y + 3*t + 388582, 23*y + 4*t = 26*y - 30670. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37612187 + -1?\nAnswer: 37612186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*i + 891, 5*f + 1376 - 5831 = 2*i. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 9*u**3 + 29*u**3 - 6*u**3 + 2*u.\nAnswer: 14*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(((-21)\/(-4))\/(-20*27\/(-360)))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 22*w - 1094. Calculate a(50).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -1\/30*l**4 + 14\/15*l**3 - 208*l + 0 - 24\/5*l**2. Suppose b(w) = 0. Calculate w.\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11641?\nAnswer: 7, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {e: 1, p: 2, k: 3, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + j = 6*j + 41, -3*j + 1 = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91068?\nAnswer: 2, 3, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.85 + -1.85. Which is the nearest to -1.03? (a) 2\/5 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*d**3 - 41*d**4 + 44*d**3)*(-d + d - 4*d) + 5*d**5 - d**3 - d**4 + d**3.\nAnswer: 169*d**5 - d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-2\/15)*((t**(-2\/3)*t)\/t)**(-38) assuming t is positive.\nAnswer: t**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from bllblblbbbblbbbblb?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 0.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*w + 44 = 27*s - 29*s, -3*w + 3 = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/10 of a week?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 505 = g + w, w + 2 = 0. Let z = g + -98. What is the remainder when z is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -403 - 24502?\nAnswer: -25105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 1. Suppose -x + 1 = -2. Let m be s(x). Find the second derivative of -9*y**2 - 12*y**2 + 13*y + m*y**2 wrt y.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1196716 and -79\/156?\nAnswer: 46671924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199636892 a multiple of 3018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-40)\/(-15)*(-3)\/52\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -347 + 645. List the prime factors of h.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4280, 8543, 12808, 17075, 21344, 25615?\n\"Answer: n**2 + 4260*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 13*d - 59. What is f(0)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4 + 80*s**3 - 6454*s**2 - 238932*s + 1053360 = 0.\nAnswer: -57, -42, 4, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 + 6*s**3 - 5*s**3 - 8*s**3.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 3)\/((-1)\/7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**5\/7 + 20*o**4\/7 - 2076*o**3 + 62244*o**2 - 529200*o = 0. What is o?\nAnswer: -75, 0, 21, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/70 - 60\/(-14). Suppose 0*s = -3*s. Let y(o) = s + 11*o + 4 - m. Let h(q) = -4*q**2. Give y(h(v)).\nAnswer: -44*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-5))\/((i*i**(-1\/13))\/i))**(1\/12) assuming i is positive.\nAnswer: i**(-17\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17724 divided by -4.\nAnswer: -4431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4623955.1*-0.1\nAnswer: -462395.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(3 + (sqrt(112) - -2*sqrt(112)) - (5 + sqrt(112)*-1)) + 0 + -4)*2)**2*-4.\nAnswer: -1033216 + 24576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3781409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65494 divided by 13.\nAnswer: -5038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2. Let i(j) = 50955*j - 50955*j + 147*j**2. Give i(r(l)).\nAnswer: 3675*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 3:37 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 54, 92, 134, 180?\n\"Answer: 2*p**2 + 32*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 70?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2396 from 677386235.\nAnswer: 677383839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1712379249 to the nearest one hundred thousand.\nAnswer: 1712400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**2\/2 + 2003*n + 4005\/2 = 0?\nAnswer: -4005, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*m + 28 = 4*f, 5*f - 4*m = 26. Let h be (8 + 2)\/(15\/f). Solve 4*u - 5*j = 7, h = 4*u - 0*j - 4*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -13. Let p = -1927\/90 - -335\/18. Is p bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 260\/70 - 2\/(-7). Suppose 0 = b*f + f - 45. Let s = -6 + f. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12347179 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-78)\/195)\/((-1)\/(-695)). Let p = w - -629. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26 + c?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -563 - -1103. What is f rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (38 - 2\/1) + 1. Suppose 3*q = -a + r, 5*a + 0*q - 121 = q. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 5. Let c = -22 + 31. What is the greatest common divisor of g and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-10))\/(v\/v**0))\/((v**(-18)\/v)\/(v\/(v**(1\/20)*v))) assuming v is positive.\nAnswer: v**(579\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1126?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8012*z = -7272*z - 26640 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d91 - -3a4d?\nAnswer: 68de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1063.226185 - 1068.426. Let t = o + 5.2. Round t to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-3)\/(-1 - -4)). Suppose s = -k + 13 + 7. Let h(v) = v**2 - 4*v + 5. Let y be h(4). Solve 4*b + k = -0*b - 4*z, -5*z = b + y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -1?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226481 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - j)*(83 + 0*j**2 + j**2 - 80)*(-3 + 4 + 4)*(-2 + 2 - 5).\nAnswer: -25*j**3 - 75*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfi when three letters picked without replacement from {e: 1, i: 1, p: 2, f: 1, l: 1, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t + 1. Let z(p) = -7*p + 2. Let c(g) = 4*v(g) - 2*z(g). Let y(q) be the first derivative of 8*q**2 + 1. Determine y(c(s)).\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -708 + 4077. Suppose -1125 = 4*t - x. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1224 - -114?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 1:19 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(12\/(-10))*33\/(-165)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 0.2. Let k = a + 7.2. Let u = 4 - k. Which is smaller: u or -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/25 - (12\/9 - 134450\/116250).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-44250.\nAnswer: -4425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*u - 1178 = -5084 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -7*f + 60. Suppose 4*b = f*g + 1012 - 3543, 5*g - 2532 = 3*b. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + ((sqrt(28) + sqrt(308)\/sqrt(11)*6)\/sqrt(4) + -1 + (sqrt(7) - -4*sqrt(7)*-3))*6).\nAnswer: -72*sqrt(7) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l + 0*l - 5 + 4*l. Suppose -4 = 3*r - 2*o - 33, -5*r + 50 = -5*o. Calculate the lowest common multiple of r and t(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 4*a - 3410 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**3 - 5*t**2 + 5*t + 5. Let z(d) = -8*d**3 + 7*d**2 - 7*d - 7. Calculate -7*k(y) - 5*z(y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/12*(-4)\/(-24). Which is the smallest value? (a) 11 (b) d (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/2 - 47*a**3\/2 - 185*a**2 - 224*a + 432 = 0. Calculate a.\nAnswer: -4, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122443 is divided by 343.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6669 at least as big as 6023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 119833759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 6505641*p**3 - 6505640*p**3 + 2*p**2 - 2*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1.9, 2\/19, 0, 5, 4 in ascending order.\nAnswer: -1.9, 0, 2\/19, 0.4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1782 and 10544985?\nAnswer: 21089970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*6*(sqrt(228)*2*-5 + sqrt(228)))\/(sqrt(108)\/(sqrt(900) - 2*sqrt(900))*1).\nAnswer: -2160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 + 761877.4637.\nAnswer: 761887.4637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 5 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -127*t + 155. Let i(n) = 126*n - 156. Let h(l) = 2*i(l) + 3*v(l). Find the first derivative of h(q) wrt q.\nAnswer: -129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 - 43*w + 508. What is the units digit of z(41)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3 = -3. Let j be (-1)\/(49\/24 + r). Is j\/(-10) + 8\/(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, -11\/7, -82, -1\/2?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + 0 + sqrt(637))**2*-1 + -6*2*sqrt(637))*2.\nAnswer: -5096 - 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -4 + 0*w - 1\/18*w**4 - 1\/9*w**2 + 4\/27*w**3. Factor k(a).\nAnswer: -2*a*(a - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -993*m + 47826. Calculate i(48).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 2. What is the tens digit of i(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -590.8 - -591. What is the closest to -1 in 39, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwowwo. Give prob of sequence www.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/19423881 and -10\/90959?\nAnswer: 213662691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**2*x**2 + 1249728*f**2 - 353689*f*x**2 wrt x?\nAnswer: 4*f**2*x - 707378*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - 8)\/((-12)\/8). What is the highest common factor of b and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 15 + -2 + -54 + 41?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a day?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -533, 5, 2, 3944, -4, 6 in decreasing order.\nAnswer: 3944, 6, 5, 2, -4, -533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -33*o**2 + 21*o - 72. Let g(b) = -8*b**2 + 5*b - 18. What is 21*g(z) - 5*i(z)?\nAnswer: -3*z**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.14 + -0.14. Which is the second smallest value? (a) f (b) 5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1. Let q(p) = p + 3. Let a(u) = -2*j(u) - q(u). Let t(x) = 4*x - 21. Let c(k) = -3*a(k) - t(k). What is the remainder when c(-21) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 16*q + 80. Determine x(-23).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/((-6)\/(-3)))\/((-33)\/(-286)). Let z be 9\/(-5)*(-12740)\/147. What is the highest common divisor of v and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - o = -16, 3*b + 17*o = 15*o - 23 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*a**3 - a + 23*a**2 + 89*a**3 + 40*a**3 as s*a**2 + b*a**3 + t*a + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 31 + 150\/(-5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l. Let m(d) be the third derivative of -11*d**2 + 0*d**4 + 0*d**3 + 17\/60*d**5 + 0*d + 0. What is t(m(h))?\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 224 = v. Let t = 1606\/7 - v. Let f = -13 + 12.5. What is the nearest to 2 in 2, f, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 105082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164857442.\nAnswer: 2, 31, 43, 61837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfmmtkmtttttmxtkt. Give prob of sequence kt.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4525210 rounded to the nearest ten thousand?\nAnswer: 4530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-14) + 221\/(-91).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*n**3 + 25*n**3 + 25*n**3.\nAnswer: -56*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -11*b + 1326. Let u be 5\/(-6) + (-17)\/b. Let i(x) = 90*x**2 - 2*x - 1. Is i(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 737\/28 - -5\/28. Find the common denominator of 11\/4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/99 and 159\/3850.\nAnswer: 34650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 12 = 4*l. Suppose -2*t - 34 = -l*y - 7*t, y + 4*t = 23. Let c = -8 + 5. What is the second smallest value in c, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + t - 1. Let l(m) = -3*m**2 - 3*m + 3. Suppose 9*j - 103 = -49. Give j*h(b) + 2*l(b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**3\/3 - o**2\/2 + 8*o - 12. Let x be p(-9). Suppose -4*l = g - 291, -3*g + x = 2*l - 35. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-225))\/(33\/27)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttpkpkttkt. What is prob of sequence pp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349746.\nAnswer: 2, 47, 83, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 4*w**2 - 5*w. Let l be b(-6). Suppose -4*a + 3173 = 5*f, 3191 = 4*a + 2*f - 3*f. Let i = l + a. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 520 and 6630?\nAnswer: 26520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 439\/29, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(4*(sqrt(1300) + -2) + sqrt(1300)*-4*5 + 5))**2.\nAnswer: 960*sqrt(13) + 332809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**5 - 256117*h**4*q - 6*h*q + 60*h + 3579*q wrt h.\nAnswer: -40*h**3 - 3073404*h**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-31)\/(-4) - -1 - 10\/(-40). Let v = -32 - q. Let z = v - -42. Calculate the greatest common divisor of z and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6987 - 2442. Suppose -4*q - 4545 = -5*r, -5*r - q = 3*q - l. Find the common denominator of 37\/12 and (3\/2)\/(54\/r).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38856.\nAnswer: 2, 3, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 38.9248, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13704.74mg in tonnes?\nAnswer: 0.00001370474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*a = 4, 0 = -5*f + 3*a - 7*a + 20. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -68*c + 1. Calculate the remainder when l(-1) is divided by -14*(5\/(12 + -7) + 6\/(-3)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30188493431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/3 + 23*u\/3 - 8 = 0. Calculate u.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115795603 and 853?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -963, -1177, -1389, -1599, -1807?\nAnswer: -2013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 26*w**2. Let y(t) = -t + 5. Let g be y(3). Let q(i) = -156*i + 156*i - 2*i**g. Calculate q(o(z)).\nAnswer: -1352*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12126 and 59432106.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 3*n**2 + 7*n - 10. Let c be r(4). Suppose -2*b - b - 3 = 0, 0 = c*p - b - 681. Is 49 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012380397 to five decimal places.\nAnswer: 0.01238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 393360946 to the power of 1\/3, to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1 + 3*z**3 - z**3 + 3*z**3 - 6*z**3 + 4*z**2. What is the units digit of u(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(30)*1 + sqrt(30)))\/(sqrt(70)\/sqrt(112)))**2 + (3 + sqrt(243)*4*-4)**2.\nAnswer: -864*sqrt(3) + 63945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 220 - -147. Let s = k - 187. Calculate the greatest common factor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112030 (base 5) to base 6.\nAnswer: -230532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -11 (b) -173 (c) 1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1091836, 4367359, 9826558, 17469427, 27295960?\nAnswer: 39306151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 + -55. Let s be (l - 6)*4\/((-12)\/207). Let r = 45 + s. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1968522 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(25) + sqrt(25)))\/(sqrt(10)\/sqrt(2)*-2) + -3 + sqrt(10)\/(sqrt(12)\/(sqrt(12)\/sqrt(2))) + (sqrt(245)*-2)**2 + 2.\nAnswer: -5*sqrt(5) + 979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 + 58. Calculate the highest common factor of 21 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i - 6 + 0*i - 4*i. Let h be u(-8). Suppose 3*c - 5*f - 22 = 0, h*c + 4*f = c + 13. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 7. Let s be 11\/(-4) - (-3)\/(-12). Let i = -2 - s. Calculate the remainder when i is divided by k(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12323265 (base 7) to base 14\nAnswer: 2105dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 2)*(i**2 - 2*i**2 + 3*i**2) - 20002 + 20002 + 100*i**2 + (3*i - 3*i**2 - 3*i)*(3 - 2 - 4) in the form y + x*i + b*i**2 and give b.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 29*t + 1271. Determine h(-44).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69428 is divided by 78.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - ((-54)\/(-6))\/3. Suppose -4*m - 2*q - 10 = 0, -2 = 5*m - 5*q + 3. Sort b, m, 5, 1.5 in descending order.\nAnswer: 5, b, 1.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*2\/(-33)*10\/240*2\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + -4a6?\nAnswer: -48c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.29 and -4973?\nAnswer: -1442.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-6)*24\/(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2197a (base 12) to base 16.\nAnswer: -ae2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -245 - 8293?\nAnswer: -8538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1545030 + 301?\nAnswer: -1544426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 692105 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*p + 491, -t - 2*p - 1222 = 4*t. Let q = -1242 - -813. Let f = t - q. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(350) - sqrt(350)*-2*3)\/(sqrt(28)\/sqrt(4)*1)*5*3)**2 + -4.\nAnswer: 8819996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, m: 1, q: 2, s: 2, e: 3, f: 1}. Give prob of sequence fqze.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 6*y**2 + 6*y + 2. What is l(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16734 by -3.\nAnswer: 5578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/2 - 323*n**3\/2 + 25591*n**2\/2 + 79707*n\/2 = 0. Calculate n.\nAnswer: -3, 0, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59994 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -934 > -934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -40 - 45. Suppose -2*u + a = -71. Is ((-1529)\/u)\/(1\/(-20)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -2)\/(1*(-4)\/24). Let y be ((-402)\/30 - v\/(-10))\/(-1). What is the greatest common divisor of y and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 + 8530*p**3 - 11763252*p**2 + 4698101912*p + 756236236976.\nAnswer: -2*(p - 1462)**3*(p + 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 14. What are the prime factors of (0 + 6)*(-2)\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = 0, 0 = -2*o - 5*h + 4*h + 2. Suppose 5*a = -0*s - o*s + 31, s = a - 2. What is the first derivative of 2*b + b - 2 + 3*b - s*b wrt b?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -69*h**3 - 21391*h**2 - 324*h - 4344. Determine w(-310).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-7)*-1*238*20\/280. Which is the second biggest value? (a) w (b) -1\/5 (c) 3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/4 + 13455*l**2\/4 + 6862417*l\/4 - 6875871\/4 = 0.\nAnswer: -493, 1, 13947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2133016 or 2133018?\nAnswer: 2133018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -42.6 from -4639.\nAnswer: -4596.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.79481 millilitres to litres.\nAnswer: 0.06179481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -1, 1\/2, 0.076 in decreasing order.\nAnswer: 4, 1\/2, 0.076, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 5*q - 3*q)*(5*q - 5*q - 1 + q)*(q - q - q)*(-332*q + 830*q - 204*q).\nAnswer: 2058*q**4 - 2058*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p**2 - p + 53. Let s be a(-16). Let n = 844 - s. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(114)*-3 + sqrt(114)) - -6*(sqrt(114) - (sqrt(114) + (sqrt(114) - sqrt(114)*4))))\/((2*sqrt(66)*3 + sqrt(66))\/((sqrt(132)\/sqrt(3))\/sqrt(4))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2 - 2)*(m**3 - 4*m + 4*m) - 4*m**4 + 6*m**4 - m**4 - 17*m**4 - 24*m**4 - m**4.\nAnswer: -44*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08945 to three decimal places.\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**3 + 54*f**2 + 21*f. Give x(-13).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -0.73?\nAnswer: -0.0438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 4*q**2 - q + 6. Let m be g(4). Let u(n) = -3*n + n - n**3 + 4*n - 1 + n**m. Give u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 208\/(-12)*(-19)\/(190\/(-15)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3111 is divided by 130.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 0*m - 3*m + 230, 2*f = -4*m - 126. Let y = f - -63. Suppose y*n = n - i + 17, 3*n - 2*i = 11. Solve -7 = -n*s + 18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19434156 is divided by 171.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**4\/4 + 4*m**3\/3 + m**2 + m + 5. Let r be x(4). Let v(k) = k**3 - 10*k**2 + 10*k + 5. What is the units digit of v(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/12 + (-196)\/(-24))*84\/(-30).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 23 - 47 = 0. Solve 8*u + b*v - 16 = 4*u, u - v + 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67810.\nAnswer: 2, 5, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4181\/21 + -199. Let y = 5437 - 5437.1. Sort -0.4, 4, t, y.\nAnswer: -0.4, y, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597*p**3 - 152*p**3 - 151*p**3 - 144*p**3 - 153*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-60)*-5)\/(1\/6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 314*a*s**2 + a*s + 17*s wrt s?\nAnswer: 628*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g*h**2*l - 1259154*g*h*l + h**2*l - 2*h**2 + 13*h*l - h - 3124*l wrt g.\nAnswer: -3*h**2*l - 1259154*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9bad (base 14) to base 2\nAnswer: -110100101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 + 20*t**2 + t - 7. Give a(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -468.37, -1\/4, 1\/4 in increasing order.\nAnswer: -468.37, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 39. Suppose 2*o + 488 = 3*u, 2*o - 165 = -u - 5. Calculate the highest common divisor of u and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 6 + 27. Let s be 3\/4*1\/(m\/2). Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 - ((-129094306)\/330 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -3*z**2\/2 + 3*z + 3. What is the units digit of u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d - 25 + 217 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -l + 1840. Suppose 5*z + l = -155. Let r = 26 - z. 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 (2 + 19)\/(-7) + 12\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5, 0 = r - g + 38 - 0. Calculate the remainder when 14*(4 - r\/6) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*n**4 - 520*n**2 + 104182*n?\nAnswer: -276*n**2 - 1040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 430.37 + 1.225.\nAnswer: 431.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 168 - 164. Let s(a) = -16*a**2 + 4*a + 4. Let c(v) = 16*v**2 - 3*v - 3. Give d*c(r) + 3*s(r).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t**(2\/5)*t*t)\/t*t)\/t))**(-18))**(9\/5)*((t**(-2))**(-2\/17))**44 assuming t is positive.\nAnswer: t**(9908\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtwoorrr. What is prob of picking 1 r and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, l: 1, j: 2}. Give prob of sequence njn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1772040.079 and 0.275.\nAnswer: -1772039.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgg when three letters picked without replacement from ggggggggggjggggggg?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, 2, 148, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 13*x**2 + 7\/2*x**3 - x + 0. Let u(s) = -4*s - 5. Let v(a) = 11*u(a) + 2*z(a). Differentiate v(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -0*a - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3693091*q*t**3 - 10520*q*t**2 - 7*q - t**2 wrt t.\nAnswer: 22158546*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l + 3*c = -31*l - 3 + 5, 5*c + 10 = 0. Let h(p) = -p**2 + p. Let r(t) = -4*t**3 + 6*t**2 - 5*t + 3. Let n(m) = 3*h(m) + r(m). Determine n(l).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 1)*-1 + -41. Let o(q) = 4*q + 34. Let f be o(-15). Let v = f - n. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 13*k**2 - 13*k + 8. Let n be u(-12). Suppose -4*c - n = -9*c, -4*p + 3*c + 56 = 0. Calculate the greatest common divisor of 136 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281677016 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(168) - (sqrt(168)*-2 + sqrt(168))) + sqrt(168)))\/((sqrt(40) + sqrt(160))\/sqrt(5)))\/(sqrt(3)*-2*-2*-4*1).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 9*y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19270 - 19266. Solve 4*z + 11*y - 9*y = 20, -m*z = -3*y - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (261\/45 - 5)\/((-38)\/(-5))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4086559521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 535028 - 538492 = 63*q. Round q to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)*i**(-18)*(i**15*i)\/i**(1\/3))**34 assuming i is positive.\nAnswer: i**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/7 and 19\/1203?\nAnswer: 8421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291617 is divided by 1376?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9630 divided by -963?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*j - 43*j - 3*s = 181, -206 = -6*j - 2*s for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 12:55 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 + -41. Suppose -4*r - c = -2*r - 17, -3*r - c = -25. Suppose -r*v + 11*v - 12 = 0. Calculate the greatest common factor of j and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/21097076 and -95\/549892.\nAnswer: 864980116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/3264 and -79\/1700.\nAnswer: 81600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a**2*y**3 + 6*a**2*y - 3*a*y**2 + 128*y**3 - 2*y wrt a.\nAnswer: -12*y**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 + 2*s + 2. Let c be d(-1). What is the second smallest value in -0.1, -1\/3, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(765\/36) + 14\/20\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eteeeeeeeeeee. What is prob of picking 4 e?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (17 - 31) + 1 - (-12 - 1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349292 + 1397170 - 349299 - 349290 - 349289 - 2*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -271, -255, -223, -169, -87?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 3) to base 8.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3165384 is divided by 963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is -22738700\/3 >= -7579566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (184\/828)\/(1\/(9\/20)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-one halves of a microsecond?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -22.11. Let i = 41.89 - 47. Let h = t + i. What is the third smallest value in h, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from aooppaaapappp?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3279014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 10*r + 8 = 0. Suppose 5*n - 10*y - 20 = -15*y, -r*n - 4*y + 4 = 0. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -10*n. Let r(j) be the third derivative of -j**5\/60 + 11*j**2. Calculate r(p(z)).\nAnswer: -100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-219 + 250)*(-2)\/6 - (-20)\/12)*3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71481695?\nAnswer: 5, 43, 332473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 691815 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 423383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.85476 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 76 = -4*g, 22*r = -3*g + 25*r + 60. What is the lowest common multiple of 94 and g?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12333 + -12327. Sort -95, v, 5 in ascending order.\nAnswer: -95, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3870 + 3870 + 4*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -0.00535?\nAnswer: -1.00535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44433 + 399139\/9. Let f = -84 - d. Is f > 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, j: 1, r: 2, d: 1}. Give prob of sequence ffr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + c + 2*c)*(-217*c + 215*c + 548*c).\nAnswer: -546*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2664 and 15821644.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t + 82 + 14. Suppose -2*m - 6 = h, -2*m + t = 4*h + 20. Sort -1, -5, h, -41.\nAnswer: -41, -5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16014 is divided by 120?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2452 to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -10*s + 87. Let v be g(9). Let n be (-1)\/(-5) + 152\/(-120)*v. Solve x = 5*j - 17 + 4, -n = -2*x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 10:32 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -717 (base 16) to base 6\nAnswer: -12223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 1 + 9 + 28*v - 5 as n + t*v and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + 19 + 47 + -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6370 = 2*m, 2*m + 6608 - 218 = 2*p. Let x = -19075\/6 - m. Calculate the common denominator of x and -22\/59.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12\/25 of a millennium?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*n + 1974 = 24*n - 120*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97042.2ml to litres.\nAnswer: 97.0422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b + -2?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 12*l + 2. Let y be f(11). Suppose 0 = -5*x + y*x - 1392. Is 44 a factor of (4 + 1)*(-6)\/(-15) + x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqiqejqiiiieejeii. What is prob of picking 1 j, 1 q, and 1 e?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Let l(g) be the first derivative of -3*g - 3\/2*g**2 - 7. What is 4*f(m) + l(m)?\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v + 6*v - 8*v + 15*v.\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d**(-1\/2))\/(d**(-1)*d)**39*(d**(-8)\/(d*d\/(d*d**8)))\/(d**(1\/6)\/(d*d**(4\/3)*d)) assuming d is positive.\nAnswer: d**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/15 and 109\/1270.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 32. Let l = p - -9. Let k = 0.43 - 0.03. Which is the biggest value? (a) l (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 812\/3 - 13795\/51. Sort -3, r, 3 in descending order.\nAnswer: 3, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -614, -617, -620, -623?\n\"Answer: -3*o - 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36110580 rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(13))*-5 - 3*sqrt(468) - (sqrt(364)\/sqrt(7) + 0 + 1)) + -4.\nAnswer: -25*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 6) in base 8?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 3372, -1, 6, 403, 0 in decreasing order.\nAnswer: 3372, 403, 6, 4, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 215814 divided by 2\nAnswer: 107907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/282795 and -85\/12.\nAnswer: 1131180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 65161439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) 5 (b) -4\/9 (c) -0.03 (d) -0.2 (e) -8.64 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 72*v - 69*v. What is the greatest common factor of 260 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -15109*b**2. Let f(q) = 2*q. Give z(f(i)).\nAnswer: -60436*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -46, -71, -98?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167475 is divided by 18592?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12582 + -5986. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 < 2406026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12.3494? (a) 0 (b) 6\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65452 by -2.\nAnswer: 32726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/3 - 374*p**3\/3 - 745*p**2\/3 - 124*p.\nAnswer: -p*(p + 1)**2*(p + 372)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 3*h**2 + h**2)*(-3 - 5 - 14).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68440 and 80.\nAnswer: 136880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 0.01 (c) -0.5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -1\/2, -2, -12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6*y = -35. Let t be (-26)\/13 - 25*-2. Let q = t - 8. Calculate the highest common factor of y and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, 0.2, -2\/7, 54 in decreasing order.\nAnswer: 54, 0.2, -2\/7, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 - 124. Suppose -6 = w*n + 33. Which is bigger: n or -33\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46504?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-1) + -8)*8. Let h = m + 47. Solve -4*i - 5*w = -h - 1, 4*w = -i + 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4325.727 meters?\nAnswer: 4.325727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**2 + b + 9. Let r(f) = 9*f**2 - f - 17. Let s(k) = 5*d(k) + 3*r(k). Let l be s(3). Suppose -2*q + l = -407. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 64287 = -11*i + 42*i. Is -7142 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 less than 1188456076?\nAnswer: 1188456054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axxx when four letters picked without replacement from {a: 3, x: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k + 45. Let l be r(0). Suppose 0 = l*x - 30*x - 30. Solve -2*g - 4 = 2*z + 2*z, z + 1 = x*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23828202 by 6.\nAnswer: 3971367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 0, 3\/4.\nAnswer: -5, -3, 0, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i - 4 = k, -3*i - 9 = 0. Let d be (k - -5) + (8 - 0). Solve d = 5*o + 28 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 57*x**2 - 961*x + 7371. What is v(36)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 68, 458\/3, 0.4, 0.02.\nAnswer: -2, 0.02, 0.4, 68, 458\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o. Let g(b) = -48639*b - 2. What is g(w(f))?\nAnswer: 145917*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/51 + 107\/(38199\/(-16296)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 11*o**2 + 4*o. Let c be n(-1). Suppose 3*l + 5 = 4*d, 3*d + 5*l = -c + 47. Solve 0 = -j + 3*h - 7, d*j - 5 = 4*h - 18 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 6*z + 4. Let t be q(-4). Suppose 4*d = -0 + t. Suppose d*g - 2 = g. Solve -3*j = s + g, -2*j + 11 = 3*s - 0*j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 9*d + 4. Suppose -10*q = -8*q + 16. Let h be x(q). Let t be 16\/h - 8\/3. Is t less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**2 - 11276*h - 769720 = 0.\nAnswer: -2749, -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*p, -4*k - 1 = -4*p + 3. Let l = -1.5 - -1. Let d = 2.5 + l. Put d, 3, k in descending order.\nAnswer: k, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*c**2 - 33*c**2 + 602*c**3 + c**2 - 598*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j - 6*j + 3*j)*(0*j**3 + 6*j**3 - 2*j**3) + 3*j**4 - j**4 + 0*j**4 - 4*j**4 - j**3 + j**3 as i*j**3 + v*j + q*j**4 + f + t*j**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -195*k**3 - 3*k**2 - 22*k + 28. Calculate g(1).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2 - 11*b + 11. Let h(a) = a**2 - 2*a + 2. Let w(t) = 6*d(t) - 33*h(t). Let s(i) = 2480*i**2 + 2480*i**2 - 4983*i**2. Determine w(s(v)).\nAnswer: -4761*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*r + 371*r - 108584 = -429*r for r.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (2 - 9) - (0 + 1 + -11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3500)*4 - (sqrt(3500)*-1*-5 + sqrt(3500)))\/((1*sqrt(126) + sqrt(126) - sqrt(126))\/sqrt(2)*-6).\nAnswer: 50*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -297 (base 10) to base 14\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 1)*(37*o - 373 + 373)*(-57 + 9 - 221) as p + n*o and give n.\nAnswer: 19906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 7*s + 206. Calculate the smallest common multiple of 13632 and c(-12).\nAnswer: 13632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/3632436 and -47\/27.\nAnswer: 10897308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*x + 155804*x**2 - 155804*x**2 - 51*x - 20*x - 4*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/481)\/((-8)\/32264)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 1. Suppose -3*q - 27*q = -600. Calculate the highest common factor of q and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21834 + 19723*x**2 + 7281 + 7277 + 7276 - 19719*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)\/m*m*m)\/m*m**(-14\/9))\/(m**(3\/8))**31 assuming m is positive.\nAnswer: m**(-1021\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3568349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.2. Let i = 7 + -2. Let m(o) = -2*o**2 + o. Let y be m(-1). Which is the closest to h? (a) 1 (b) y (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = m - 5*u + 6, -4*m - u + 21 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u + 182. Let r be f(-29). Suppose 31*n + 102 = r*n. Calculate the remainder when 21 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/4)\/((-1)\/(-2)). Let g = x + 0. Suppose -5*s - 55 = -d, 5*d + g*s - 194 = 3*s. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 3, z: 2, i: 2, n: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 143 = -f - 24*f for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 20*k**2 - 2*k + 3. Let q be o(1). Let u be -15*(1\/q + (-10)\/(-35)). Suppose -3*b - 6 = -18. Put -4, u, b in ascending order.\nAnswer: u, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290973637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002854311 rounded to seven decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 + 111\/((-13764)\/(-2356)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 973\/4380 + -15\/73. Let g(h) be the third derivative of -1\/240*h**6 + 0*h + 0*h**3 + 4*h**2 - 1\/48*h**4 + 0 - j*h**5. Factor g(s).\nAnswer: -s*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 6, -0.15, 0.1, 0.06, 2\/67?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 11*s - 9*s = 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 30 = 5*o, 5*g - 2*o = -1404 + 1423 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.9540778 to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-8)*(-26)\/78.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 e, and 1 g when three letters picked without replacement from {g: 4, e: 1, p: 2, w: 5, b: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 46 + (-7095)\/198?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 10:39 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**7\/3360 - g**5\/480 + g**3\/3 - 8*g**2. Let j(n) be the first derivative of h(n). Factor j(k).\nAnswer: k*(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13348845.00382 + 13348485. Let w = l + 360. Round w to four decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 158, 4, 5, 7262 in ascending order.\nAnswer: -4, 4, 5, 158, 7262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 943*s**2 - 799?\nAnswer: 1886*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.5688 - 36.56176. Let f = -0.02804 + c. Let v = 31 + f. Round v to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 946.1 + -946. Let a be 1\/5*-1 - 0. What is the nearest to -1 in -3, l, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3233008 (base 9) to base 8\nAnswer: -6473233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6904780343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-15) + 83\/5. Let s = -12 + w. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 11*o + 311. Give s(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 1\/(3\/246). Suppose -4*c + c = 2*i + j, -5*i - 79 = 3*c. Find the common denominator of -77\/4 and c\/22*(-3)\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65748309?\nAnswer: 3, 11, 1992373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 9:43 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -18*l + 9. Let k(h) = 19*h - 10. Give 6*k(z) + 7*p(z).\nAnswer: -12*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+2850.49006\nAnswer: 2849.99006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464758822?\nAnswer: 2, 11, 179, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 3\/2, 198, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(3\/324*2). Is 55 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 11) to base 3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 9*h**2 - 2*h - 2. Suppose 0 = 3*t - 7*t - 20. Let y(n) = -n**3 - 10*n**2 + n + 2. Let q(a) = t*x(a) - 4*y(a). List the prime factors of q(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + 2*(sqrt(192) - (-4*sqrt(192) - sqrt(192))))**2.\nAnswer: -1536*sqrt(3) + 110608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 20, -4*j - 3*x - 12 + 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80790825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2362 - -2370. Solve q*j - 7*j = 5*y - 25, 0 = -5*y + 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6488123309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4816179463190 take away -0.2?\nAnswer: -4816179463189.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a millennium in years?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*o**3 - 32*o**3 + 63*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - -0.9. Let z = 2653\/11 - 241. Let i = 0 - -0.1. What is the closest to u in 2, i, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -835 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/7 - 1184*m**3\/7 - 83100*m**2\/7 - 162656*m\/7 - 11534 = 0 for m.\nAnswer: -511, -79, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8 = -2. Let a = m + 3. Let l(d) = -d**2 - 1. Let k(u) = -3*u - 4. Let f(i) = k(i) - l(i). What is f(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23794, -23798, -23802?\n\"Answer: -4*b - 23790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 12. Suppose 220 = -15*c + 59*c. Let j(r) = -4*r + 13. Give c*j(h) - 6*b(h).\nAnswer: -2*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00121306 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -119 + 76 + 55. Let r(w) = -w**2 - w - 12. Calculate 2*r(v) + 3*t(v).\nAnswer: -2*v**2 - 2*v + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 16 + 6. Let o = f + 4. Find the third derivative of 17 - 2*i**6 - o*i**2 - 17 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8259 + -3?\nAnswer: -825c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 b when four letters picked without replacement from eeeddeebddredeeberde?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1 - 1 + l. Let c(j) = 3*j - 4. Let y(i) = c(i) - 4*g(i). Let u be y(-6). Solve u*p = -3*w + 1, -w - 17 = 4*p + p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 119 = -899. Find the common denominator of -85\/8 and (a\/(-125))\/((-8)\/(-10)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**6\/30 + 3*g**5\/20 - g**4\/4 + g**3\/6 + g. Find k, given that r(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-28)\/(-24))\/((-64)\/(-12)) and 382\/(-624) + 8\/52.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96013851 to the power of 1\/2, to the nearest integer?\nAnswer: 9799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + (0 + -4)\/2. Suppose 27*r = 14*r + 26. Sort n, -4, r.\nAnswer: n, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.2 - 4.8. Let a = y + 32. Let i = -398 - -9156\/23. What is the third smallest value in i, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-176)\/(-264)*6\/(-4). Let y = -3.1 - -3.1. Which is the fourth biggest value? (a) x (b) y (c) 0.5 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, k: 2, u: 6, f: 6, r: 3}. Give prob of sequence kk.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9\/(((v*v**(-2\/27)*v)\/v)\/v))**27 assuming v is positive.\nAnswer: v**245","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 17*f**2 - 82*f + 29. Is 32 a factor of y(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -591358 divided by -29.\nAnswer: 591358\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1364 + 1511. What is the remainder when 595 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -745865 in -0.04, -3, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 185004 - 11?\nAnswer: 184993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1815 + 1905. What is the remainder when 248 is divided by c?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13853199 divided by -23\nAnswer: -602313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 15302, -4, -1\/7, -2, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 4*t**3\/3 + 14*t**2 + 23*t - 60. Is i(-38) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-15)\/(-24))*5\/((-960)\/(-72)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 32 - 16)*(-22*m + 112 - 112)*(3*m - 4*m + 2*m).\nAnswer: 792*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 0) + (31 - 69 - -24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(448)*1 + 1 + sqrt(448) + -3 - (5*(sqrt(7) + (sqrt(56)\/sqrt(4))\/sqrt(2) + sqrt(7) - sqrt(7) - sqrt(7)) + sqrt(14)\/(-6*-1*sqrt(2))))**2.\nAnswer: 254*sqrt(7)\/3 + 113047\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 2*t**2 - 2*t + 2. Let z be g(2). Does 12 divide (12\/(-7))\/(z\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 10*h - 17. Let j be o(-12). Let z = 30 - j. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -20*n + 14. Suppose -4*x - 5*w = -37, -4*x + w + 2 = -5. Solve n*q = -0*q - x*i + 11, -q = 3*i - 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 493448.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 3*s**3 - 91*s**2.\nAnswer: -3*s**3 - 91*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 5*i**5\/4 + 415*i**4\/3 - 1370*i**3\/3 - 680*i**2 - 3*i - 447. Determine r so that m(r) = 0.\nAnswer: -68, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -4, 31 in decreasing order.\nAnswer: 43, 31, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 55, 102, 145, 184?\n\"Answer: -2*i**2 + 53*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11743, 46988, 105733, 187978, 293723?\nAnswer: 422968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/6)\/(-7))\/((432\/1440)\/((-3708)\/20))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5881.392 to the nearest integer.\nAnswer: 5881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 11900339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**3 + 2 - 2)*(-3 - t + 3) - t**4 + 363*t**3 + 14*t**2 - 11*t**2 - 378*t**3 as q*t**4 + n*t + w*t**3 + i*t**2 + o and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 11. Suppose i*u - 2*d = -56, 71 = -3*u - u - d. Is (-5 - u) + 1*-3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 13462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 - 4*y**3 - 40 + 34*y**3 + 97 + 157 - 28*y**3.\nAnswer: 2*y**3 + 361","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/49*1\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/19 + 10*i**2\/19 - 8*i\/19 - 40\/19.\nAnswer: 2*(i - 2)*(i + 2)*(i + 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 21, 23, 23, 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -21*q + 119. Let l(i) = i - 6. Let a(t) = 4*t**3 + 75*t**2 - 27*t - 33. Let j be a(-19). Determine j*l(m) + 6*k(m).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/24 and 169\/126.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -38 + 0 + 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 + 85. Suppose 0 = 5*v - 2*x - 31, -x - 10 = -5*v - 6*x. Let y be r\/((20\/(-108))\/v). What is the highest common divisor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63\/(-5)*7400\/(-222) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -10, 0 = -4*p + 5*r - 0 + 10. Let f = -210 - -213.34. Let u = -0.34 + f. Which is the second smallest value? (a) p (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 502 = 166. Let t be j\/36 - (-2)\/(-6). Solve -n = f - 3 - t, -5*n = -4*f - 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605330822?\nAnswer: 2, 139, 2177449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(24)\/(sqrt(12)*-2))**2*4 - ((sqrt(180)\/sqrt(5))\/sqrt(6))\/(sqrt(9)\/sqrt(75)))*6.\nAnswer: -30*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -100*a**5 - 220*a**4 + 264*a**3 + 896*a**2 + 512*a = 0?\nAnswer: -8\/5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*b**2*w**3 + 2*b**2*w**2 + 9*b*w**3 + b*w**2 + 150*b*w wrt w?\nAnswer: -222*b**2 + 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (261\/116)\/(9\/24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5191 = 176*j - 1143 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - v = -15, 3*x = -0*v + v - 20. Is -4 - -118 - x*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.158 + -0.237. Let x = i + 0.0833. What is x rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-3))\/g)\/(g**(-3\/7)*g))\/((g*g*g**(-5))\/g*g**(3\/4)*g) assuming g is positive.\nAnswer: g**(-37\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001024875 rounded to 7 decimal places?\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34292 is divided by 928.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (-3*sqrt(320)*-5 - (sqrt(720) + -2 + 4)))*6*5)**2.\nAnswer: 388800*sqrt(5) + 52491600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -393, -29, 2, -59 in ascending order.\nAnswer: -393, -59, -29, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-6*(1*sqrt(70) + sqrt(70)) - sqrt(70)) + sqrt(70)*-1*2)\/((sqrt(90) - sqrt(90)*2)*-4))**2.\nAnswer: -175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58745, 111669, 164593, 217517, 270441?\nAnswer: 323365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33368\/181 or 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87309*i**2 - 8*i**3 - 174625*i**2 + 87323*i**2.\nAnswer: -8*i**3 + 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 14. Let s be 61\/6 + 3\/(-18). Let r be a(s). Suppose 0 = r*w + 4*h - 100, 0 = -4*w + w - 4*h + 80. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 15*l**2 - 25*l + 10 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 558\/45)\/(2 + (-88)\/8)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -604\/1241 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15 times 0.007\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32\/(-8) - (-18 + 1) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2. Let y(z) = -z**2 - 6*z + 5. Let x be y(1). Let o(f) = 3*f**2 - 2*f. Let d(g) = -7*g**2 + 5*g. Let r(s) = x*d(s) - 5*o(s). Calculate p(r(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times 33?\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 7*h + 3. Determine t(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 2*v + 17. Give y(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3)\/n**4)\/(n*n**(-2\/9)*n*n**3))\/((n\/n**(-1))**(-36)\/(n**4\/(n**3*n*n))) assuming n is positive.\nAnswer: n**(554\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1304691\/124256 + -3\/124256. Factor 27\/2*u**2 + 3\/2*u**4 + w*u + 3 + 15\/2*u**3.\nAnswer: 3*(u + 1)**3*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (259 - -7) + (-2)\/(4 + -3). Let l = 1053\/4 - z. Let w be 3\/8*(-2)\/3. Sort w, 5, -0.2, l in increasing order.\nAnswer: l, w, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*l + 60, -4*l + 2 + 18 = 0. Solve 2*w + t = 0, 5*z + 3 = -2*w + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 25*v + 1. Let h(p) = 5*p. Let a = 30 - 41. Let d be a + 19 - (-6)\/2. Give d*h(o) + 2*x(o).\nAnswer: -2*o**2 + 5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353965948.\nAnswer: 2, 7, 12641641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvqqdwwqqqqqqqww. What is prob of sequence dq?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16673169*i**4 + 10918771 wrt i?\nAnswer: -66692676*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -3*t - 4*t. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from {t: 1, n: 7, u: 5, p: 1}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111012 + 370679. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpe when three letters picked without replacement from pxxkkkhphoek?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f - 2. Let z be 3*1 + -3 + 6. Let k be l(z). Suppose 0 = 5*v + 3*q - k - 0, -2*v + q = -14. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/665*-7 - 6\/20.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**5\/20 - 3*r**4\/4 + 7*r**3\/6 - 11*r**2\/2 - 953*r - 1. Determine m(7).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(3\/19))*f*f*f**(-11))\/((f\/(f*f**(-4\/5)*f))\/f**(-10)) assuming f is positive.\nAnswer: f**(-1706\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 + 0)\/(-2)*(1 + -2). Let n(d) = 0*d**2 + 4*d**2 - d**2 + 5*d - 6 - d**3. Calculate n(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516 is divided by 121?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -268182 divided by 1?\nAnswer: -268182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 33\/2*t**4 - 31\/6*t**3 + t**2 + 2 + 21*t. Find the second derivative of h(r) wrt r.\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*q - 26. Solve 4*g = 0, 0 = 2*r - g + 2*g - q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -14, 0.3, -0.60396?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*y = 1564*y + 326*y + 15722 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 1, q: 1, u: 1, b: 1}. Give prob of picking 1 k and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1053569 is divided by 72?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1058 - -1054. Which is the biggest value? (a) 15 (b) w (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4\/3 - 136*v**3\/3 - 4486*v**2\/3 + 3128*v - 1587 = 0. What is v?\nAnswer: -69, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(-12)*(-11)\/(-22))\/(1\/9799437) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r = 16*r + 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**5\/30 - 23*y**2. Let j(b) = 10 - 10*b**2 - 5 - 5. Calculate s(j(d)).\nAnswer: -200*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 times -0.064171?\nAnswer: 4.299457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26107, 104309, 234645, 417115, 651719?\nAnswer: 938457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2155.0299975 - 2155. Let u = i - 0.03. What is u rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/5 + 299152*z\/5 - 28102616\/5 = 0 for z.\nAnswer: 94, 149482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.87 rounded to the nearest integer?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25354*a**2 - 5 + 29*a**3 - 25353*a**2 - 21 + 48*a**3 - 2 to x*a**2 + g + h*a + c*a**3 and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3*a - 10 = 0, 2*a = -336727*p + 336724*p - 28 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -53, -118, -181, -242, -301, -358?\n\"Answer: o**2 - 68*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 k when four letters picked without replacement from {k: 4, a: 2, d: 10, x: 3}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*i - 2*i**2 - i**2 - i**2 + 26*i.\nAnswer: -4*i**2 + 68*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from ssskssnsdskds.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -371*z**2 - 395*z\/2 - 6.\nAnswer: -(2*z + 1)*(371*z + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00047690135 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 185 + 103 - 119*l**3 + 389*l**3 - 58*l**2 + 30*l**2 + 30*l**2 wrt l?\nAnswer: 1620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 2100?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.354 rounded to 1 decimal place?\nAnswer: -65.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 502, 1002, 1502, 2002?\nAnswer: 2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 6 = 5*f, -6 = -4*f + 4*t - 6*t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 - 922872*f\/5 + 106461591048\/5.\nAnswer: 2*(f - 230718)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 2:14 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 68 - 182 - u + 45.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(750)*-1 - -1*sqrt(1920))\/(-2*((sqrt(1440) + sqrt(1440)*1 - sqrt(1440)) + sqrt(10))).\nAnswer: -3*sqrt(3)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 62, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25230027?\nAnswer: 3, 61, 137869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 8*m - 11. Let z be h(6). What is the closest to 1 in 5, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/28)\/((25 + -21)\/56). What is the highest common divisor of x and 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13927207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4188 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.045811 - 124.393811. Let j = 124 + b. Round j to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(605) + 1))**2 + -4 + (sqrt(15)\/sqrt(3)*-1 + sqrt(405) + 2*sqrt(405))**2.\nAnswer: 550*sqrt(5) + 18526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -11. Let t = -12 + 8. Let b = t + 9. What is the closest to -1 in b, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-208)\/(-273)*(-3294)\/(-1952)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + 135213?\nAnswer: 135225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130 + 113. Which is smaller: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.147697032 to 2 dps.\nAnswer: -2.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38584380, 77168765, 115753148, 154337529?\n\"Answer: -j**2 + 38584388*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -1. Suppose -3*c - 48 = -3*w, -5*w = -4*c - 27 - 35. Let n = a - c. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-203320)\/(-171600) - ((-2)\/(-4) + 1) and -53\/141?\nAnswer: 7755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-60))\/(2\/(-24)). Let y(q) = q**3 - 4*q**2 - 5*q + 2. Let a be y(5). Let v = u - a. Solve -2*o - 4 = -v*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2\/13, -389\/2, 0.1, -4\/3, -1\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2 + 16*y + 0 + 6. Let r be p(2). Suppose -4*m + 5*z = -0*z + r, 0 = m + 5*z - 16. Which is the closest to 0? (a) 28 (b) m (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-1 + 5 - 3)*(-38*c + 87*c**2 - 9*c - 89*c**2).\nAnswer: 4*c**2 + 94*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7567219853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**3 - 83*v**2 - 328*v + 2884. Let g(b) = b**3 + 10*b**2 - 2*b - 1. Let z(q) = -5*c(q) - 20*g(q). Factor z(f).\nAnswer: 5*(f - 5)*(f + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 12:56 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26399 + -9818. What are the prime factors of c?\nAnswer: 3, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -36, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 66\/(-5) + 0 + 2 and (-3 - 24\/(-11))*1.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1026)\/285*5\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43968 > 43968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/3 + (-22)\/(-66). Suppose -2*a + 16 = -g*n, -35 = -5*a + a + n. Calculate the least common multiple of a and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 91*x + 275. Let b be g(-3). Solve 0 = 2*w + 2*s - b, -w - 3*s + 9 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 754607592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -175838 = -5450988\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40666 - 40654. Let j(i) = i**3 + 8*i**2 - 239*i - 12. Determine j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -28 + -6 + 28 + -1 + 15. Let n be (-98)\/(-4) - 22\/(-44). Solve 3*i + 2*g + y = 3, 5*i - 5*g + n = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.312625km?\nAnswer: 312625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4070 and 85056895.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43630462 is divided by 6942.\nAnswer: 6934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 676813267896.0000032 + -676811324869. Let t = -1943024 + c. Let i = 3 - t. Round i to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 (base 16) to base 10\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20741 + 6.6642.\nAnswer: -20734.3358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/4*88\/(-220).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 k when three letters picked without replacement from lekkrseg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfmfmfhhmfffhh. Give prob of sequence hhf.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -281*w + 576*w + 1 + w**2 - 289*w. Suppose -2*r = f, -5*f - 14 = -0*f - 4*r. Let z = f - 2. Determine m(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m - 2*m + m)*(-1 - 3 + 3) + 0*m - 5*m + 3*m + 2*m - 5*m + 0*m - m + m + m + 4*m + 0*m - 5*m)*(-6 - 11 + 3)*(1 + 1 + 1).\nAnswer: 252*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = 6 - 16. Let r(a) = -4*a**2 - a. Let b be r(t). Let p(s) = -8*s**3 - 3*s**2 + 5*s. Let u be p(b). What is u rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/129560 and -12\/1975?\nAnswer: 647800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -837 + 1026 - (91 + -3).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1101010111111 (base 2) to base 7\nAnswer: 25651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -2)*75\/(-9). Suppose z - 40 = -3*z - 4*p, f = 3*z + 2*p. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 24 = 2*l + 10*d, -4*d = -5*l + 18 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - -15. Suppose -4*r - 3 = 1. Let c be (r - -23)*1\/2. Calculate the highest common factor of c and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9878 is divided by 1130.\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 6*d - 45. Let k(z) = -z - 12. Let s be k(d). Let h = -285 + 281. Which is the closest to -3\/5? (a) 1\/5 (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*g**2*q*s**3 + 8*g**2*q - 6*g*q*s**2 + 3*q*s**3 + 11*s**3 wrt g.\nAnswer: 32*q*s**3 + 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*p - 958 = 1363 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 3*b**2 - 2*b - 2. Let d(m) = m**3 + 2*m**2 - m + 4. Let z be d(-3). Let i be p(z). Let j be (1\/(-3))\/((-6)\/54). Solve j*x - x - i = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - -66. Solve -4*g - x = 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 5*c**3\/2 + c**2 + 98*c. Calculate z(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/23 - -34\/69. Which is the closest to q? (a) 9 (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33*-10*(-116995)\/550 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 9 = 24. Let w(z) = -z + 6 + 5 + 5 - 6. What are the prime factors of w(t)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 2*t**3 - 2*t**3 + t**3 - 1 + 0*t**3. Let o(s) be the third derivative of s**4\/24 + s**2. Determine o(p(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161474371?\nAnswer: 199, 811429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1\/3, 65, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47.69 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -3*m + 8, 13*m = 10*m - 3*p + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1184, 3\/5, -2\/15, -1971, 2\/9?\nAnswer: 1184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198617*r - 18 = -2*c + 198616*r, 4*c - 4*r + 72 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1470)\/(-112))\/35*9*(-22)\/891\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -7*v - 36. Let w be 3 + v\/(18\/7). What is the biggest value in w, -0.3, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - -10. Let m = b - 83. Let n = 21 + m. Does n = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168 - 125. Suppose -15*f + 47 + w = 0. What is the lowest common multiple of 28\/3*9\/2 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98105116.\nAnswer: 2, 233, 105263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 18*c**2 - 82*c + 19. What is h(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 - 2)*(3*z - z + 24 - 11).\nAnswer: 12*z + 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5591*r = -11372*r + 5626*r + 13284 + 7176 for r.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 671 divided by -2?\nAnswer: -671\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/5)\/c*c**(1\/5)*(c**(-1))**(-45))**16 assuming c is positive.\nAnswer: c**(3552\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 - 7*t**3 + 1 + 0*t**3 + 5*t**3 in the form d*t**3 + g*t + i + l*t**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -2)*(-11)\/2. Let z(n) = 6*n + 3. Is z(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -196, -278, -360?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 1 - 3) + -109 + 111.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10020 - 9998. Solve -22 = -3*x + 4*s, -21*s + w*s = -5*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.21 in -2\/5, 4, 5, 0.2, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-212)\/(-477)*2\/(-20)*3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4442 (base 5) to base 7.\nAnswer: -1546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i + 13. Determine l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21009561472 take away -667?\nAnswer: 21009562139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -290, -631, -1104?\nAnswer: -1709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**6\/180 - x**5\/20 + 5*x**4\/6 + 58*x. Let k(f) be the third derivative of d(f). Determine k(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a centimeter in micrometers?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o - 8. Suppose 2*k + 14 = 2*a, 2*a - 1 = -k + 10. Calculate the remainder when a is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3044.673 rounded to the nearest ten?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -517*k**3 - 11*k**2 + 11*k - 11. Let q(u) = -258*u**3 - 6*u**2 + 6*u - 6. Give -6*h(v) + 11*q(v).\nAnswer: 264*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22288*m + 26418 = -21574*m for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(-5 - l + 5 + 1)*(22 - 22 + 17*l**3) in the form m + i*l**3 + y*l**2 + p*l + o*l**4 and give o.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3334 + -3338.969. Let w = f + -0.031. Which is the biggest value? (a) 0.13 (b) 2\/13 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 3:50 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/4)\/(78\/(-104))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8 + 27\/(-1584)*463 and 91\/20?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**7\/42 - g**6\/12 - g**5\/12 + 5*g**4\/12 + 10*g**2. Factor h(n).\nAnswer: 5*n*(n - 2)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**3 + f**2 + 16*f - 16. Let h(o) = o**3 - o**2 - 6*o + 2. Calculate -8*h(w) - 3*u(w).\nAnswer: w**3 + 5*w**2 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, -65, -196, -377, -620?\nAnswer: -937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 7 + 1\/5*i**5 - 2\/3*i**3 + 0*i**2 - 13*i - 15\/4*i**4. What is the third derivative of r(q) wrt q?\nAnswer: 24*q - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 - 3?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(252) + -2*(sqrt(252) + -1))*1 - (sqrt(252) + 0 + 2 + 5 + 2*sqrt(252))))**2.\nAnswer: 288*sqrt(7) + 4068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2336438*b. Let a(i) = -i. Determine w(a(x)).\nAnswer: -2336438*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 - 25*i**2 - 6*i + 1. Give o(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/((-63)\/(-6))*-30. Let a be (44 + 1)*6\/10. Let m = r + a. Solve m*y = 3*y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 357784*r. Let d(z) = -3*z**2. Give p(d(k)).\nAnswer: -1073352*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*r + 125 + 140, y - 4*r = 76. Let z be y\/11 - 3 - 3. Which is the closest to -1? (a) -12 (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**30*d*d**(-2\/113)\/d*(d\/d**(-29)*d)**(-1\/16))**43 assuming d is positive.\nAnswer: d**(2180315\/1808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*i**4 - 7*i + 47*i - i + 16*i**4 wrt i.\nAnswer: -384*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 + 3*p**2 - 2*p + 2. Suppose 2*m - 5*g = 4, 0 = 4*m - 5*g - 8. What is l(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*a**2*q**4 - 13*a**2*q**3 + 5*a**2*q + 2*a*q**2 - 2051*q wrt q.\nAnswer: 3024*a**2*q - 78*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -19858 (c) -0.24 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2\/3 - 40*t\/3 - 35\/3.\nAnswer: -5*(t + 1)*(t + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2078 divided by 152482\nAnswer: 1039\/76241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -749455 divided by 304.\nAnswer: -39445\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16977.8305 rounded to the nearest 10?\nAnswer: 16980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535014 is divided by 54.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -46*l**2 - l - 1. Suppose p + g = -8, 2*g + 13 = -3*p - 15. Let v be 5 + 17\/(34\/p). Calculate z(v).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 3\/(3\/2). Let b = d - -3. Suppose -122 = -4*r - 3*s + b, -3*s = 2*r - 61. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 4574835*f**2 + 5232239932992*f + 88949400993092.\nAnswer: (f - 2287426)**2*(f + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a decade?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - 3) + -7 - -4) + (-15 - -23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 759232292 to the power of 1\/3, to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from {u: 5, z: 1, f: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/h*h**(-1\/4))\/(h*(h\/h**(-1\/3)*h)\/h)**(-2) assuming h is positive.\nAnswer: h**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2494210.52262268 - -0.5?\nAnswer: 2494211.02262268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/7))\/(n**(-2\/7)*n)*(n**(-1))**(-2\/21)*(n\/n**(2\/5)*n**2)**(1\/2) assuming n is positive.\nAnswer: n**(59\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 237014641*r**4 - 80262989*r**2 - 4*r?\nAnswer: 5688351384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 15) in base 4?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 282 (base 9) to base 2\nAnswer: 11101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + 0.4. Let h be (-1)\/(-4) + (-2)\/(-8). Let f be (-4)\/18 + -1 + 1. What is the closest to h in s, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 386.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*b**2*i**3*r - 3*b**2*i**2*r + b**2*i*r - 125*b*i**3*r - b*i**3 + 42*b*i - 81*i**2 wrt i?\nAnswer: 282*b**2*r - 750*b*r - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14514 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 440 - 279. Suppose -n - 3*n + 92 = 0. Calculate the highest common factor of v and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-920)\/(-12) - -20*(-5)\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 6032. Let d(j) = -59*j + 2. Calculate d(q(b)).\nAnswer: -59*b + 355890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three sixths of a decade?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007709127 rounded to 7 decimal places?\nAnswer: 0.0000771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(119)*3)\/(sqrt(35)\/sqrt(5)*-1)*-4 + -5 + 4)**2.\nAnswer: -48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1072 and -1?\nAnswer: -1072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6968 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**2 - 2*g + 1. Let p(a) be the third derivative of 3*a**5\/20 + a**4\/6 - a**3\/3 + a**2. Let d(j) = 3*p(j) + 5*x(j). Is d(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(72) - (sqrt(72) - 2*sqrt(72) - sqrt(72)) - sqrt(72))\/(sqrt(28)\/(sqrt(21)\/sqrt(3))) + (sqrt(32) + 0 - sqrt(2)*1*-6)*-2)**2.\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hwwxhwxwhhxw.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -17.71 times 0.4\nAnswer: -7.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001766 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 689 and 4293.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*h - 92 = 159*h. Suppose -2*s + 6 = -2*n - 0*n, 15 = 5*s + 2*n. Is (5 - s)*h\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*a**3 - 7*a**2 - 4*a**2 + 11*a**2.\nAnswer: 30*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -646*i - 45. What is p(0)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -319.865 and -0.144.\nAnswer: -320.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**13*y\/((y\/(y*y*y\/y**(4\/11)*y)*y)\/y) assuming y is positive.\nAnswer: y**(-81\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (45\/(-27) + 3)*(5 + -2). Solve 5*p - 15 = -j*y + 6*y, 4*y = 5*p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51019796?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 619*l**4*s**2 - 2*l**4 + 21*s**2 + 2*s + 89 with respect to l.\nAnswer: 2476*l**3*s**2 - 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2037880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -29360.\nAnswer: 1\/29360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*a + 14, -5*k - 2*a - a + 58 = 0. Let p = -35 - -17. Let j = p - -49. Calculate the remainder when j is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.8326357 - 8.833. What is o rounded to 5 dps?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -510, -347, 484, 1983, 4150, 6985?\nAnswer: 10488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*p = -191, -5*t - 3*p + 700 + 273 = 0. Calculate the remainder when ((-129)\/86)\/((-3)\/t) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 524 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14341645 + 12?\nAnswer: 14341660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjir when four letters picked without replacement from rrvisrj.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 3:23 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.472 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 300822 + -176217. Suppose 27895 = 5*u - j. Round u to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4102.\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -13. Let p = 80 + -719\/9. What is the second biggest value in p, b, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132 + -132. Factor -1\/2*t + h + 1\/2*t**2.\nAnswer: t*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1183, 1236, 1389, 1690, 2187, 2928, 3961?\nAnswer: 5334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 1. Let f = a + 4. What is the units digit of (-8)\/(f*2\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5039*y - 5041*y - 365*y**3 + 419*y**3.\nAnswer: 54*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 3*y + 4. Let c be n(-5). Let k = c - -10. Suppose 2*a = k*a - 332. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, b: 2, e: 2}. Give prob of sequence efef.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 r, and 1 w when four letters picked without replacement from rgrwg?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676255 is divided by 880?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**2*v**2 + 25*j**2*v + 2*j**2 + 2*j*v**2 - 1142*j - 4*v wrt v?\nAnswer: 4*j**2*v + 25*j**2 + 4*j*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2722872, -2722874, -2722876, -2722878, -2722880?\nAnswer: -2722882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j - 3 + 3)*(1 - 7 + 1 + 10 + 1 + 0 + (1 + 0 - 3)*(0 - 3 + 1))*(-5 + 6 + 4) as y + z*j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhmmjmxjmumj. Give prob of picking 1 x, 1 h, and 1 y.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 2\/(-1 - (1 - 3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523 divided by -17?\nAnswer: -1523\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 4:14 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 25*g**4 - 5535*g**3 - 387015*g**2 + 550415*g - 157890 = 0.\nAnswer: -57, 2\/5, 1, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -12*y + 3*y + 5*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 - 0.08.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 259*q**4 + 2*q - 175 with respect to q.\nAnswer: 1036*q**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 + -100. Solve -3 = -g - v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9832, -2, -1 in descending order.\nAnswer: 9832, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 32 = -s, 0 = 3*s - s + 2*g - 94. Let x(t) = 3*t + 1. Let n be x(7). Calculate the highest common factor of n and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354 + 399 - (-5 - (11 + -4) - (2 - 5)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 + 3*i**2 - 2*i - 4. Let x be (-8)\/36 - 25\/9. Let u(g) = 2*g**3 - 2*g**2 + 2*g + 3. Determine x*w(a) - 4*u(a).\nAnswer: -2*a**3 - a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 542*p - 4*u = 546*p - 53020, 0 = p - u - 13245. Is 144 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 27, 40, 53?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26 (b) 0.4 (c) -1 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13928 != -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1984.46 and -0.1.\nAnswer: 198.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -784*n + 41. Let s(m) = -m + 1. Let a be s(4). Is f(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 4*j**2 + 2*j. Let i be l(-2). Let u = -8 - -281. Let y = 268 - u. Sort y, i, 3\/11, -3\/4.\nAnswer: y, -3\/4, 3\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -22. Is 9 a factor of j\/16 - (-327)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -976 divided by -20\nAnswer: 244\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/21 and -32\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, q: 7}. What is prob of picking 2 h?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l. Let f(g) = 4*g**2 - g. Determine k(f(v)).\nAnswer: -24*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + p = 4*p + 522, -2*u + p + 352 = 0. Let f = 3192 + -3051. Let k = u - f. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591838 is divided by 194355.\nAnswer: 8773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from ciixtcxxieu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1300 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1051 divided by 1918.\nAnswer: -1051\/1918","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Add -0.0048 and -27791.378.\nAnswer: -27791.3828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -6*(1*sqrt(833) + sqrt(833)))*4 + ((sqrt(136)*-1 - sqrt(136))*6)\/((sqrt(8) - (sqrt(8) + (sqrt(8) - (sqrt(8)*-1 - sqrt(8)))))*-1))**2.\nAnswer: -5440*sqrt(17) + 1965264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18 and 30750.\nAnswer: 30732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 92, 95, 98, 101, 104?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55514685*c**4 - c**2 + 41703314 wrt c?\nAnswer: -1332352440*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 + 4498*u\/3 - 2076800\/3.\nAnswer: -2*(u - 1600)*(u - 649)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -4638 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2 + 21490348*q - 64471008 = 0 for q.\nAnswer: 3, 5372584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(75\/(-6)))\/(6\/(-4)*(-2252)\/(-447585))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 314, 468, 622?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -17005?\nAnswer: -39\/17005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + 82. Let g = 199 + q. What is the highest common factor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14637?\nAnswer: 3, 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8967, -17937, -26907?\n\"Answer: -8970*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -226952 - 2?\nAnswer: -226954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -9*k - 53. Let s(y) = -30*y - 164. Calculate -2*s(t) + 7*z(t).\nAnswer: -3*t - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -2\/19, 6, 2, 3\/2 in descending order.\nAnswer: 26, 6, 2, 3\/2, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**2 - 21*n = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z. Let k(p) = -4 + 0 + 4 - p**2 - 2*p. Calculate 2*j(v) - k(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 1. Let k be c(7). Suppose -k + 0 = -s. Suppose 3*q + 5*z - s = 0, 3*q - 36 = 4*z + z. What is the greatest common divisor of 49 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -314023 + 525230. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.7 + -1.8. Let f = q - -30. What is the second smallest value in -1\/3, 5\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/39, -66\/5, 5, 163 in decreasing order.\nAnswer: 163, 5, 0, -2\/39, -66\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -38970 rounded to the nearest 1000?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 71 + 84)*(5 - 4 - 2)*(4*l**2 + 0*l**2 - l**2).\nAnswer: -447*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -174.66 + 169.66. Let q = 0.04 + -3.04. Let g = 3.04 + q. What is the closest to -1\/2 in m, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p**3 - 224 - 3583*p + 237 + 3590*p.\nAnswer: -14*p**3 + 7*p + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5988 and (-429)\/(-11) + (-10 - -4)?\nAnswer: 65868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**5\/4 + h**4\/12 + h**3\/6 + 12*h. Suppose -5*y - 3*d - 6 = -2*y, 2*y = 3*d + 1. Let r be p(y). Is 0 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.78 - -28.13. Round s to 1 dp.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 - (4 - 1 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3*a = -9. Find the second derivative of 5*z**a + 0*z - z + 0*z**3 - z**3 wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*v**3 - 6*v - 4*v**4 + 21*v - 4*v - 7*v in the form m*v + h*v**4 + z + p*v**2 + t*v**3 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqeoegy. Give prob of picking 1 g and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q. Suppose 2*w + 0*u = -2*u, -5*u = 10. Suppose 3*b + w*x = -7, -3*b + 4*x - 13 - 18 = 0. Let p(s) = s - 14 + 14. What is b*p(n) + 3*c(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 11436035 and 11436035 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*11217.\nAnswer: 56085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1080?\nAnswer: -1\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340245531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.001288 + -5. Round d to five dps.\nAnswer: 0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2992 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**5\/20 - 5*u**4\/2 + 37*u**3\/6 - 10*u**2 + 266*u. What is the units digit of g(30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.19 and -15661634.\nAnswer: -15661632.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3363 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7207*w = -7202*w - 4*a - 93, 5*a - 1 - 35 - 18 = 7*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, u: 4, o: 3, g: 10}. Give prob of picking 1 o and 1 p.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -432 or -311642\/723?\nAnswer: -311642\/723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2 + 5. Let t be z(0). Suppose -k + 8 = 4*j - 1, -4*j + 24 = 4*k. Is k <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 70435 and 70435 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express c**4 - 117930 + 160*c**2 - c + 117931 + 3*c as b*c**4 + y*c**3 + r + j*c + i*c**2 and give i.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*w - 14, -3*o = 11 + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260838?\nAnswer: 2, 3, 43, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9884 divided by -12.\nAnswer: 2471\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**0*a\/(a\/(a**(-1\/10)*a*a))*a*a*a\/a**(-5\/3)*a**5\/a assuming a is positive.\nAnswer: a**(317\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 21) + (6 - 29)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42167858 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253453.\nAnswer: 17, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 3:30 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 5:44 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 5:49 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 1331565?\nAnswer: -1331605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1181286 to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1551*u + 27923. Give g(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176832 is divided by 1176821.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57*m**2 - 14 - 685*m**2 + 298*m**2 - 2*m wrt m?\nAnswer: -660*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -484, -970, -1458, -1948, -2440, -2934?\n\"Answer: -n**2 - 483*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100874 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 620*s - 462*s - 158*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -14, 0, 30, 82?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 54*j**4*s**3 - 2147*j**4 + 68153*s**3 wrt j.\nAnswer: 216*j**3*s**3 - 8588*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -267*q**2 - 1075*q - 872. Calculate s(-3).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25466681 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7697466 centuries in months?\nAnswer: 923.69592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 3*c - 17*o + 3*o, -o = 2*c + 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 376, 373, 372, 373, 376, 381, 388?\n\"Answer: j**2 - 6*j + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h = 0. Suppose -3*x - 2*x + 20 = h. Suppose 5*a + 5*c = 75, x*a = 3*c - c + 30. Calculate the least common multiple of 4 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 239 divided by 1636\nAnswer: 239\/1636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 19*c + 12 = 0. Suppose -5*n + 120 = 2*j - 6*n, c*j - 180 = 5*n. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, r: 7, e: 2}. Give prob of picking 2 u and 1 r.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*h + 11 = -133*h. Which is greater: -8\/289 or h?\nAnswer: -8\/289","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q - 6. Let p be u(6). Find the common denominator of -137\/18 and -7 + 8 - (-218)\/p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 3*m - 24. Calculate a(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 928\/5781 - 6\/41. Let w(a) = 4*a + 61. Let p be w(-11). Let m(g) = -g**3 + 17*g**2 - 4*g + 68. Let l be m(p). Which is bigger: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -9*j**2\/2 + 3*j - 2715. Determine g(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**2 - 7853 + 18*k**3 + 3*k**2 + 7788 with respect to k.\nAnswer: 54*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -925889, -926916, -927943?\nAnswer: -928970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by -227496.\nAnswer: 85\/227496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -32762520?\nAnswer: 32762522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206753052?\nAnswer: 2, 3, 11, 89, 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9240583 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqr when four letters picked without replacement from qrqqqqr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 4:14 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160*s - 1 - 1 - 162*s - 155*s + 399*s to z*s + r and give z.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -21, 1\/5, -3.\nAnswer: -21, -3, -4\/7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 144ab0 + -5?\nAnswer: 144aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 9*m**5 - 51*m**4 + 21*m**3 + 51*m**2 - 30*m = 0.\nAnswer: -1, 0, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 + 0.03. Sort 1\/6, 4, -0.1, n in decreasing order.\nAnswer: 4, 1\/6, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.77? (a) 3 (b) 2 (c) 2\/5 (d) -0.07 (e) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 2235310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(130) + 2*sqrt(130) + sqrt(130)))\/(6*2*sqrt(5)))\/(sqrt(56)\/(sqrt(252) - sqrt(252)*-1)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162112.41 hours to days.\nAnswer: 6754.68375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9882, 11754, 13626?\n\"Answer: 1872*q + 8010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 24*i - 36 = 0. Let h(f) = -f**2 - 12*f + 40. What is the remainder when h(i) is divided by (-2)\/(-6) + (-65)\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3916 (b) 0.5 (c) 16 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 28953.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 35. Let q(z) = -3*z + 34. Let d(u) = 4*m(u) - 5*q(u). Let x be d(5). Calculate the highest common divisor of x and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 159*s = -0*a - 165*s, 0 = 5*a + s - 22 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 60078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -29.5 (b) 1\/5 (c) 0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 16. Suppose -2*y = -m*a - 632, -y = y - 2*a - 632. Suppose 4*x = -0*x + y. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**6\/40 + k**5\/30 + k**4\/12 + k**3\/6 + 10*k**2. Let y be (-51)\/18 - 7\/42. Let g be y*4\/(-6) + (-9)\/3. Determine u(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 675855200?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(8\/(-84)*(-27)\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15223 - 15115. Let l(s) = -s**2 - 5*s + 7. Let z be l(-6). Let n be (-2)\/(z*(-6)\/81). What is the greatest common factor of g and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 63985 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -278, -5 in ascending order.\nAnswer: -278, -37, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13172, -25830, -38034, -49778, -61056, -71862?\nAnswer: -82190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*u + 5*p, 0 = 6*u - 3*u + 2*p - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + -1 - (-149 + 154)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/801 and 109\/40050.\nAnswer: 40050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - y)*(2*y + 16 - 16 + (5*y - 8*y + 0*y)*((0 + 1 + 0)*(2 + 0 - 4) - 1 + 3 - 9 + 0 + 0 + 1 + (2 - 1 - 2)*(6 - 2 - 2) - 1 + 0 + 3)).\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/36 + 4)\/(-12 - (-1287)\/108).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 15 = 5*t, -7*t - 2*f + 5 = -12*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69 - (13 + -1)) + 8 + -39 + 36?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(475) + sqrt(475) + 2 - (sqrt(475) - (-3 + (sqrt(475) + -1 - sqrt(475))))) + -4 - 6*(1 + 2 + sqrt(475) + -5 + sqrt(475)))**2.\nAnswer: -660*sqrt(19) + 57511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 2:06 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f. Let d(o) = 45*o - 194. Let h be d(4). Let l(s) be the second derivative of -13*s**3\/6 - s. Determine h*m(b) + 4*l(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*w**5 - 952*w**4 + 2828*w**3 - 1452*w**2 - 3708*w + 1620 = 0 for w.\nAnswer: -1, 5\/12, 3, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 9*o**2 - 7*o - 6. Let s be q(8). Suppose -4 + s = -h. Solve 7*b - 3*b = -c + 5, -13 = -h*b + 3*c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6472*t**3\/15 + 80254*t**2\/3 + 6219964*t\/15 + 1922\/5.\nAnswer: 2*(t + 31)**2*(3236*t + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, 3, 0, 15, 200 in increasing order.\nAnswer: -11, -1, 0, 3, 15, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 12, 28 = 3*s + 9*k - 5*k. Let a(f) be the first derivative of 0*f - 1\/4*f**s + 4*f**3 + 0*f**2 + 45. Find the third derivative of a(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -263*y - 476. Determine i(-9).\nAnswer: 1891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y + 5. Let f be 4\/(-1) + -2 + (-2 - -5). Calculate o(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256049 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(20\/6 + -3). Let r = 1943 + -1323. Suppose -4 = -2*n, r + 1 = 3*m + a*n. What is the highest common divisor of 82 and m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 36*v + 76. Give p(-6).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**3 + 2*w**4 - 4*w - 36 + 34 - 1228*w**2 + 4*w + 1231*w**2 as t + u*w + r*w**4 + g*w**2 + d*w**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 - c**3 - 89 + c**4 + 40 + 46 in the form x*c + h*c**2 + i + t*c**4 + l*c**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 699 * 0.043.\nAnswer: 30.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106617273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*u - 183112790*u**2 + 183112900*u**2 - 392*u.\nAnswer: 110*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 2*a**3 + 21*a - 2. Suppose 0 = -8*q - 313 + 481. Let x(f) = -f**2 - 4. Give q*x(p) + 4*t(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*x + 5*x - x)*(-2*x + 4*x - 3*x) + 3*x**2 - x**2 - x**2)*(3 + 1 - 2*x - 3)*(-20 + 1 + 35).\nAnswer: 96*x**3 - 48*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - -3*(-4)\/6. Let g = 5\/99 + 2\/33. Let d be -2*3\/24*4. What is the smallest value in g, v, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -395940, -396425, -396910, -397395?\n\"Answer: -485*k - 395455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q = -5*d - 896, -4*d = 3*q - 1344. Let z be (q\/(-55))\/4 - -2. Let t = -49\/165 + z. Put 0, -5, t in increasing order.\nAnswer: -5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - 181\/3. Let o(j) be the first derivative of 1\/4*j**4 + 0*j + 1\/18*j**6 + 4\/15*j**5 - 3 - p*j**2 - 4\/9*j**3. What is n in o(n) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-28)\/4 - -21. Let b = v + -25. Solve b = x + 3 + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y + 21*y + 19*y - 51*y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.12 bigger than -4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:23 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 3\/2 (c) 86 (d) 11 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-3)*18\/(-15). What is the remainder when (x\/20)\/((-2)\/320) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1438 - -3.1438. Let b = 42.43 - -0.57. Is b < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108926414 by -63551.\nAnswer: -1714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 49469689 and 0.2?\nAnswer: 49469688.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**8\/20160 - t**7\/504 - 11*t**6\/720 + t**5\/30 - t**2 - 5. Let f(m) be the third derivative of n(m). Factor f(q).\nAnswer: (q - 11)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2)\/(18\/(-8)). Let w be (-4)\/18*6*(-3)\/2. Suppose -18 = -w*a - 8. What is the closest to p in 0.1, -3, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*h**4 + 14*h**4 + 19*h + 17*h**2 - 17*h**2 wrt h?\nAnswer: 588*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 2*y + 10. What is the remainder when 38 is divided by u(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 822114 divided by -3\nAnswer: -274038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = -3*k, -3*m + 0*m = 5*k - 16. Suppose k*t - 84 = 2*t. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -259, 2, 0.5, -0.4, -2\/15 in descending order.\nAnswer: 2, 0.5, -2\/15, -0.4, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*h + 3016 = 3644 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.07 and 790790.\nAnswer: 790789.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492965 is divided by 1377?\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 + 165\/(-10))*280\/966?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 20*q**2 + 88*q + 53. Let l be g(8). Let u(w) = w**3 + 10*w**2 - 14*w - 21. Calculate u(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63792449*v**3 + 87307925*v**2?\nAnswer: -382754694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, o: 4, j: 1, b: 1, r: 1, c: 3}. Give prob of picking 1 o, 1 x, and 1 r.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10990 + -21.113887.\nAnswer: 10968.886113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-30)\/135*12\/176.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126489679 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 69470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/336)\/((-2)\/12). Which is the closest to m? (a) -0.3 (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 42 - 21 - (-1 + -9 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*f**5 - 725060*f**3 + 14*f - 39558 wrt f?\nAnswer: 220*f**3 - 4350360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**5 + 445*g**4 + 217*g?\nAnswer: 20*g**3 + 5340*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/(-8) - 3\/6 - -7. Calculate the common denominator of z\/2*-4 + (-40)\/55 and -1*(-94)\/14 + -1.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 15 + 2157*t**2 - 2159*t**2 + 0 + 6*t + 2. What is y(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000058163 rounded to 7 decimal places?\nAnswer: 0.0000582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 34, -3, -4097.\nAnswer: -4097, -3, 33, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2148780 and 9912?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s = -72*s - 1508 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -5 (b) -425 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -1\/12, 35703?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7252.6 centimeters?\nAnswer: 72526000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1980092126.5 to the nearest ten thousand.\nAnswer: 1980090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + (13 - -6))*((-112)\/8 - 8).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 563535 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 12:50 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -658, -707, -766, -835, -914, -1003?\n\"Answer: -5*l**2 - 34*l - 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 793*f*p**2*q - 2*f*p**2 + 2223*f*p - 2*f*q**2 + 97*p**2*q**2 + 7*q**2 - 2*q wrt p?\nAnswer: 1586*f*q - 4*f + 194*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*g - 19*g + 25640 = -219*g for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2058 and 5782?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 264\/176*((-1)\/(-12))\/(-1)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -11766 - (2\/(-11) - 48\/(-22)). Let g be 2\/3 + (-5)\/(30\/t). Suppose 2*f + 7*f = g. List the prime factors of f.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66034 is divided by 32664?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z + 612. Let y(o) = -o + 216. Let g(k) = -6*a(k) + 17*y(k). Let v(f) = -f**2 - 48*f - 4. What is g(v(q))?\nAnswer: -q**2 - 48*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 46. Which is the second smallest value? (a) j (b) -2\/13 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b + 33 - 149 - 115 = 0 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12076 - -12069.1016. What is p rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60358*r - 1090 = -60383*r - 38 + 2073 for r.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17183 - -0.07183. What is the nearest to u in 5, 0.19, -2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4623973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose 0 = 4*v - y + 1, -5*v - 3*y - y + 4 = 0. Suppose 3*w + 5*l + 11 = v, -5*w + l + 31 = -3*l. Solve -z = -w, -3*g - z + 8 = -r*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -20.224777883084.\nAnswer: -25.224777883084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**4\/4 - 2*n**3\/3 - 5*n**2\/2 + 4*n + 2. Let g be i(3). Let j be (-2)\/2*-19 - g. Solve -4*r = j - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -117 or -7.61?\nAnswer: -7.61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3135*l + 16 = -3139*l - w, 3*l + 3*w = -21 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 14.3. Suppose 4*q - 15 = q, 15 = -5*p + 5*q. What is the nearest to 14 in 1\/3, f, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + -0.2. Let r = -0.5 + 0.2. Let t be 5\/1 + (-16 - -13). Put y, r, t in descending order.\nAnswer: t, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-2))\/((-294)\/(-56)))\/(60660\/756 + -79).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 346*k + 1041. Let i be x(-3). Let p(u) = -2*u**2 - 14*u + 53. Determine p(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**5*t + 8686*q**4*t**2 + 15*q*t + 4637*t**2 wrt q?\nAnswer: -60*q**3*t + 104232*q**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**6*q*q*q)\/((q**(-2\/9)\/q)\/q))\/(((q**(-10)\/q*q)\/q)\/(q\/q**10*q)))**(2\/53) assuming q is positive.\nAnswer: q**(292\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)\/(sqrt(32)\/sqrt(4)*4))\/((-4*sqrt(132)*-2)\/sqrt(11)).\nAnswer: sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k + 13. Let b(y) = -4*y + 6. Let z(c) = -13*b(c) + 6*g(c). Let t(v) = v. What is 11*t(d) + 6*z(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 1. Let l(j) be the third derivative of 41*j**5\/60 + 5*j**2 - 201. Determine p(l(v)).\nAnswer: 3362*v**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -981.5118 + 961.51. Let w = -5 - 15. Let u = w - a. What is u rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15144692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21\/778, 2, 1 in ascending order.\nAnswer: 21\/778, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*a - 118, m - 4*a = -3*m + 248. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t - 1024509 + 1024285 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 34. Suppose -3*t = -i, 5*m + t + 2*t = -125. Let z = 116 + m. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*b*c**4 + 18514*b + 2014*c**4 - c**2 + 1 with respect to c.\nAnswer: 56*b*c**3 + 8056*c**3 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 152047, 152049, 152051?\n\"Answer: 2*r + 152045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -542*i + 187*i + 34 - 162*i - 67 + 35. Let f(h) = h. Give s(f(p)).\nAnswer: -517*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0. Suppose 4*i - k = -13. Sort 1, i, 2.\nAnswer: i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -16. Are 5\/3 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*n**3*w**2 + 147*n**3 - 325*n**2 + 226*w**2 with respect to w.\nAnswer: 66*n**3*w + 452*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40898252, -40898254, -40898256, -40898258?\nAnswer: -40898260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23.2 in -1, 2\/7, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12899*h**3*z + 4*h**3 + 237*h**2*z + 3*h - 45*z wrt h.\nAnswer: -77394*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 22*s - 25*s + 27, s - 2*n + 2 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 23*z**2 - 33*z + 5. Calculate y(-22).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 34 - 61 = 3*b, s + 12 = 2*b for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - 5. Let z(w) = 3*w**2 + 9. Let o(c) = 7*s(c) + 4*z(c). Determine o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1593*c**2 - 279*c**3 - 2349*c - 7842 + 7842 - 3*c**4.\nAnswer: -3*c*(c + 3)**2*(c + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s + 3. What is l(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 a factor of 736960437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -215, -440, -747?\nAnswer: -1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.3924 decades in centuries?\nAnswer: 5.53924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/4 - 31242\/(-90). Let k = -253 + -92. Let z = k + n. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 99 + (22 - (-11 - -9))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 6 = 1. Let d be (q - 0)*0 - 1. Let f be (-2)\/(-1) + (-56)\/26. What is the second smallest value in 4, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2435*v**2 + 297 wrt v?\nAnswer: 4870*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125703*w**6 - 3708*w**2 - 9.\nAnswer: 15084360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -341 (b) 1 (c) -2\/3 (d) -2\/1361\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.6 - 116.4. Let a = v + 137.99999933. What is a rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 54 - 228 + 73 - 754*l + 764*l. Give v(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(176) + -3*sqrt(176) + -1 - (sqrt(176)*-2 + 2)) + -6*((sqrt(176) - (2*sqrt(176) - sqrt(176))*6) + sqrt(176))*5)**2.\nAnswer: -5760*sqrt(11) + 2534436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i + 6*i - i. Let z(x) = -5*x**2. Determine z(o(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - (31 + -10)) + -29 - (72 + -2).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = -32981*s + 32978*s + 31*d, 3*s - 26 = 2*d for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -21*h - 4. Determine l(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 - 9*n + 39*n + 77*n + 8*n.\nAnswer: 115*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*p**2*q**4 + 153*p**2*q**3 - 8*p**2 - 2*p + 79*q wrt q.\nAnswer: 240*p**2*q**2 + 918*p**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 4*t - 44, -7 = 5*s - 4*t - 63. Let k = -17 + s. Let q(v) = v**3 + 4*v**2 - 6*v - 2. What are the prime factors of q(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + 3 - 4) + -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -941, -2121, -3773, -5897, -8493, -11561?\nAnswer: -15101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 13 = 13*h - 3*v, 5*h = 4*v - 21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25488 - 25316. Suppose 2*g + 0*g = 4. What is the lowest common multiple of q and g?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/6*255\/136. Solve 2*n = 4*r + 10, r - t*r + 8 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 + 1)*(-320)\/30. Find the third derivative of -s*f**2 + 3*f**4 + 39*f**2 + 26*f**4 wrt f.\nAnswer: 696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 - 61*q + 205. What is h(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4730, -3802, -2874, -1946?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 26*l**2 + 95*l - 228. Calculate d(29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(3\/13)\/k)**(-11\/8)*k*k*(k*k**(-3)\/k)\/k*k*k*k*k*k\/(k**(-2\/17)\/k))**16 assuming k is positive.\nAnswer: k**(13438\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 243 - 150461232?\nAnswer: -150460656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 10:20 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2 - 7. Let d = -4 + 6. Let z be (g\/6)\/(d\/(-4)). Which is bigger: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x, -4*x + 28 = -5*u + 43 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10212220 (base 3) to base 7.\nAnswer: -11154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**3 + 7*h. Suppose -4*x + 2*c + 6 = 0, -10*x - 5*c + 30 = -5*x. Suppose -x*g + 0 - 9 = 0. Let i(r) = 2*r**3 + 3*r. What is g*o(y) + 7*i(y)?\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l - 3*l + 7*l - 5*l - 11*l + 3*l + (1 + 4 - 3)*(-2*l + 3 - 3) + 5*l - 5*l - l)*(1 + 0 - 3) as r*l + n and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1355, -2703, -4051, -5399, -6747?\nAnswer: -8095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -578, -1156, -1734, -2312, -2890, -3468?\n\"Answer: -578*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 156131369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 59*x + 307. Determine r(-10).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87608*d**3 + 6 + 175265*d**3 - 87628*d**3.\nAnswer: 29*d**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/5 (b) 2\/5 (c) 0 (d) -209 (e) 30 (f) -22 (g) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/267 in -19, -4\/11, -3, -4\/9?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 21999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 15*c + 4. Let a(w) = -5 + 2*w - 10*w - 267 + 270. Give -7*a(f) - 4*z(f).\nAnswer: -4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g + 6. Suppose 0 = -w - 1, -3*j - w + 20 = -0*j. Let c be o(j). Let d = 87 + c. What is the greatest common divisor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j + 3*j**2 - 6*j - 2*j**3 + j - j**2 in the form t*j + y + r*j**3 + v*j**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -7. Calculate the highest common divisor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -9000.9015719?\nAnswer: 9000.4015719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {o: 1, r: 1, g: 5, b: 1, q: 6, d: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -0.3 (c) 0 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1004.88 and -4?\nAnswer: -4019.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 84.6 in -4, 5.801, -3, 1?\nAnswer: 5.801","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41701 + -80139. Let a = 102438 + l. Round a to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 - -17. Calculate the highest common factor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 200 = 842. Is k a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 1:51 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3586891 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 75*x - 108. List the prime factors of t(52).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 158 = 143. Let m be ((-6)\/4)\/((-3)\/54). Solve h*u - 2*p = 33, 0*u - 3*u = -3*p - m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151 + 119. Let b be v\/(-24)*2022\/4. Let l = b + 185. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 6. Let z = -30 + w. Let u = -18.4 - z. What is the closest to 1 in -4\/7, 1\/6, u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 129 = 2*w - 0*w, 4*v - 4*w = 108. Solve -v = -0*h + 5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*h - 22499 + 3449 = -94*h for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2226.62 - -2360.679. Let s = 134 - j. Round s to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.3 * -0.89624.\nAnswer: 30.741032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q - 17. Let w(c) = -c - 17. Let v(a) = 2*i(a) - 3*w(a). What is v(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -271 + 200. Calculate the remainder when r*(-4)\/(1 + 3) + 3 is divided by 65.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169.46616 - 0.00616. Let g = -168 + b. Round g to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 760 = 92. Let u = f - -304. What is the remainder when 98 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obboxoobox. Give prob of sequence bxo.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 8*n**2 + 2*n - 30. Suppose 0 = -0*m + 3*m - 2*g + 12, 0 = 2*m - 2*g + 6. What is the remainder when 328 is divided by z(m)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a millennium in centuries?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2078893 and 10968.\nAnswer: 49893432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - -56 - (-14 - -40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**6\/48 - 7*u**5\/12 + 10*u**4\/3 + 160*u**3\/3 - 31*u**2 - 2. What is k in y(k) = 0?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 less than -58?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1377) + -5)**2 - 1*(sqrt(68) + -2)**2.\nAnswer: -172*sqrt(17) + 5461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/3 + 5584*m\/3 - 3720 = 0. What is m?\nAnswer: 2, 2790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*t + 38 + 29*t - 40*t - 1192 in the form g*t + c and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 17*o**3 - 3. Let b(q) = -33*q**3 + 7. Let k(f) = -6*b(f) - 11*r(f). What is the derivative of k(m) wrt m?\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -93. Suppose -4*t + 44 = z, 3*z - 5*z = 3*t - d. What is the smallest common multiple of t and (-1)\/3 + 122\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*w - 12. Suppose -2*s + 51 = 3*z, -s + 3 = 3*z - 6*z. What is the highest common divisor of s and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117151 divided by 193.\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 15*w**2 - 45*w**2.\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.053 + 2.347. Do l and -2\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1281 + -4232?\nAnswer: -5523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3726991, -3726965, -3726939, -3726913?\n\"Answer: 26*z - 3727017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*d**2 - 37*d**2 - 29*d**2 + 1123*d**3 wrt d.\nAnswer: 6738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 + (-63)\/12. Let g = 0 - 2. Which is the second biggest value? (a) 0 (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*u + 6567 + 6560 - 19701 - 2*u**2 + 6565 in the form i*u**2 + l + x*u and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**5\/20 + 2*l**4\/3 - 5*l**3\/6 + l**2\/2 + 3*l. Let y be c(5). Let o = y + -11. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*i**2 - 1\/2 - 3\/4*i.\nAnswer: -(i + 1)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o - 10. Let x be d(6). Let u = x - 26. Let p(y) = y**2 - 10*y + 2. What is the tens digit of p(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1538 divided by 11?\nAnswer: -1538\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 662451000 to the nearest 1000000.\nAnswer: 662000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1872 and 2448?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/162 and -79\/656?\nAnswer: 53136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3478 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12415*h**3 - 24*h**2 - 6330*h**3 + 23*h**2.\nAnswer: 6085*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (5 - -8) + -63 + 33.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-7 + (23 - 7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13)\/((-65)\/240) + (6 - 3).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 6*a + 1. Suppose 108*w = -70*w + 356. Calculate the least common multiple of v(-6) and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by 2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -10, 2*p = a - 15 + 8. Solve -a*v - 6 = -5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 5615 = 2011. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 957 (b) 0.4 (c) -1\/4 (d) -0.237 (e) -2 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005519552 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101110100111101000101 (base 2) in base 12?\nAnswer: -4034231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71705587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 3 + 5143*l + 0 - 5136*l as b*l + c and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2202213545 + -2?\nAnswer: -2202213547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34bba0 (base 14) in base 11?\nAnswer: 101a095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -11. What is the units digit of ((-10)\/3)\/((-4)\/w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 518 = -72*i. Sort 1, i, 2, -3.\nAnswer: -3, 1, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4645 divided by -929\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1517 and 394665754.\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6255017387 - 0?\nAnswer: 4.6255017387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9 smaller than 26\/4535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 2*q**7\/147 + 8*q**6\/105 + q**5\/7 + 2*q**4\/21 + 38*q. Determine d so that z(d) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18a5 - -10b31?\nAnswer: 12706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 608 = 4*m, -4 + 7 = -m. Let q = h + -1641\/11. Which is the third smallest value? (a) 2 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/11)*l*l*l*l*(l\/((l\/(l**(-21)*l))\/l))\/l*l)**(-28) assuming l is positive.\nAnswer: l**(4676\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1141 (base 12) to base 7.\nAnswer: 5413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*w - 59. List the prime factors of (-24)\/(-9)*27\/w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/189*3*14\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -10*v - 4. Let c(m) = -10*m - 3. Calculate 3*c(d) - 2*p(d).\nAnswer: -10*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 527544 and 7344?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2036 (base 14) in base 2?\nAnswer: -1010110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54715601 to the nearest integer?\nAnswer: 7397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2488316 is divided by 2625.\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18059 is divided by 74?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/1107821 and -107\/55510.\nAnswer: 77547470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*l**2*n**3 - 2*l**2*n + 17*l*n**3 + 1250*n**3 wrt l?\nAnswer: 28*l*n**3 - 4*l*n + 17*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09766 + 0.29766. Which is the nearest to 0.3? (a) -0.2 (b) -3 (c) n (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 2*i + 3*i)*(1666*i + 243 - 3324*i + 1661*i).\nAnswer: -3*i**2 - 243*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -177 (b) -0.15 (c) -5 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.7 (b) -178 (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 21. Let l be u\/18 + (-8)\/36. Let q(o) = 5*o**3 - 4*o**2 + o - 3. Let p(m) = m**3 - m**2 - 1. Calculate l*q(j) - 3*p(j).\nAnswer: 2*j**3 - j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 83332*t - 8. Let d be x(-6). Round d to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*f*r**3 + 4*f*r**2 - 1322041*f*r + 815048*r**3 + 15*r wrt r.\nAnswer: 150*f*r + 8*f + 4890288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(2\/7))\/v)**14)**(-2\/9)*v**4\/(v\/v**(-5))*(v\/(v**(-1)\/v))**45 assuming v is positive.\nAnswer: v**(1205\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a factor of 1392416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 16*z - 26. Suppose 2136*s = 2157*s + 357. What is u(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 - (-660)\/198. Suppose -19 + 73 = 3*n. Suppose -2*z - n = -f*z. Solve -v - 8 = 5*j + z, 3*v = j + 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*(56\/(-32) - 6\/(-8)). Sort 1, 0, o in decreasing order.\nAnswer: 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + c**2 - 5*c - 3. Let i be (0\/(-2 - 0))\/1. Let a be i - (-9)\/(-6)*2. What is o(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - 68*x + 3*x**3 + 4 + 5 - 1 - 10*x**2 + 67*x. What is o(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 11:36 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443 (base 5) to base 4.\nAnswer: -1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - g = 27, 9*p + 19 = 4*p + 3*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 12*r**2 - 6*r + 15. Let y be j(2). Calculate the greatest common factor of y and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(45)*3))**2 + -5.\nAnswer: -400\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -0.4, 0.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**7\/42 + i**4\/4 + i - 3. Let w(t) be the first derivative of c(t). Find the third derivative of w(n) wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228835642 is divided by 76278546.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 15*v - 48. Let g be q(-10). Suppose 5*h - 5*r = 275, -h + 87 - 29 = -g*r. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2903737, -5807475, -8711215, -11614957?\n\"Answer: -a**2 - 2903735*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -3, -4, -1, 0, -127.\nAnswer: -127, -75, -4, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14963455?\nAnswer: 5, 13, 23, 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -3729, -0.4 in descending order.\nAnswer: 0, -0.4, -6, -3729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 1. Let p(f) = -7*f**3 - f**2 - 3*f + 8. Calculate -p(x) - 3*v(x).\nAnswer: 7*x**3 + x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 39*j**2 - 34*j + 235. Give n(-38).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 5*w + 7, 4*w = -2*v + 118 - 116. What is the first derivative of -88 + 39*h**4 + 32 + 38*h**4 + 2*h**v - 42 wrt h?\nAnswer: 308*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + 2*sqrt(2) + 3)*1*3.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0759 and 5?\nAnswer: 0.3795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 6.4024.\nAnswer: 6.3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54.5? (a) 1\/101 (b) 1\/2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 216649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**2 - 4159515*k - 4159510 = 0 for k.\nAnswer: -831902, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8293 is divided by 695.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*u + 2*m, u = -0*u + 4*m + 8. Let n be (-912)\/(-36) - u\/(-3). Solve 0 = -0*p - p + 4*s - n, s - 13 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003677 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 69614 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 53839*x + 1. Let r(j) = 4*j**2. Calculate i(r(c)).\nAnswer: 215356*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -236 + 450. Suppose 4*j = o + 2420, -5*o - 819 = -j - b. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - 74) + (-1 - -31) - (2 + -1 + 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 252125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 5*s**2 + 1\/30*s**5 + 1\/120*s**6 + 0 - 1\/24*s**4 + 0*s + 0*s**3. Give f(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 323146 - -5?\nAnswer: 323154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 13*u**3 + 4*u**2. Suppose -2*p + 2*o = 0, -12 = -p + 14*o - 9*o. Suppose 31 = -4*f + 47. Let w(y) = 12*y**3 + 3*y**2. Calculate f*w(x) + p*g(x).\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 14) in base 9?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-91)*-4*(-5)\/60. Let d = c + -881\/8463. Is -1 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 - 1. Let q = s - 0.7. Which is smaller: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*a**4 - 120*a**2 - 2 + 0 + 34*a**4 + 116*a**2 in the form k + y*a**3 + p*a**2 + u*a + q*a**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3790 = 83*c - 5284 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 8124724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4599066 and 498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*g + 1005 = 21*g - 25*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a - 1. Let l(x) = -17*x + 1. Let c = 2 + 6. Let n be ((-6)\/(-8))\/((-2)\/c). Let u(v) = n*l(v) - 7*m(v). Differentiate u(r) with respect to r.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37545785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -281*i + 97. Let z(b) = -70*b + 24. Let o(r) = -2*x(r) + 9*z(r). Is o(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**(-9))\/x)\/(x\/x**(-1\/21)))\/((x\/(x*x**(-1)*x*x*x*x))\/x)**49)**(-2\/95) assuming x is positive.\nAnswer: x**(-1562\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-610)\/12505 + 154\/(-205) + 285\/75.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 45, -2 in descending order.\nAnswer: 45, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 3*k**2 - 3*k - 3. Let f(s) = s**2 + s + 1. Let z be (-65)\/(-20) - 1\/4. Let p(m) = z*f(m) + u(m). What is the third derivative of p(v) wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1554 - 923. Suppose 61*h - 62*h = -t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 1:12 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33 + 0 + 2 + (-2 + 0 - 1)*(-2 + 1 + 3))*(4*m - 5*m + 2*m) to j + v*m and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -647059*j**3*s**3 + j**3*s*v - 95*j**2*s**3*v + 10*j**2 + 92*s**3*v wrt j.\nAnswer: -3882354*s**3 + 6*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**3 - 2*l**2 + 7*l - 4. Let r(k) = 3*k**3 - k**2 + 10*k - 8. Let v(o) = -o + 1. Let t(i) = -r(i) - 6*v(i). What is 7*t(w) + 4*z(w)?\nAnswer: -w**3 - w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 3 - 27. Calculate the lowest common multiple of 8 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21438, 8, -1, -5, -2, -3.\nAnswer: -21438, -5, -3, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*k**2 - 1787*k - 1792*k + 2413*k**4 - 3 - 27*k**2 + 3579*k wrt k.\nAnswer: 57912*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 24.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255 = 17*t - 2*t + 195 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3031320 (base 4) to base 12.\nAnswer: -7760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -1\/2*o**2 + 0*o - 3 - 1\/3*o**3 + 0*o**4 - 1\/30*o**5. Let z(j) be the second derivative of q(j). Differentiate z(s) wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.069*0.8\nAnswer: 0.0552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.786019\nAnswer: -1.572038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1, 0.3, 6, 2\/29?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1329*y + 1339*y - 130. Suppose 0*c + c = 0. Suppose 0*w - 5*w + 455 = c. Calculate the highest common factor of y and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.4007 and 20.\nAnswer: -128.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 7. Let i(u) = 3*u + 21. Let c be i(-7). Suppose c*s + 6 = -2*s, -5*s + 10 = 5*m. Let q be 0\/(-1) - (-3 - m). What is h(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (1420\/(-25))\/4 + 2. Is w <= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b + 3. Let f be z(6). Suppose -4*h + h = -f. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 203.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 31. Let d be h + 5\/((-25)\/(-20)). Solve 0 = -d*t - 2 - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -9*q + 13 - 3 + 4*q**2 - 2*q**2 - 6*q**2. Let g(v) = 3*v**2 + 6*v - 7. Let i = -4 - -11. What is i*g(j) + 5*n(j)?\nAnswer: j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47832707 a multiple of 871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 4*k - 17, 7*k - 2*k = -2*o + 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*g = 47*g - 25. Suppose -15*p + g*p + 60 = 0. Solve -l = h + p, 8*h - 3*h - 4*l = 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5327045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -19 - -18) + -49?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25137 divided by -189\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14045 is divided by 911?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 20*c + 5*c - 1 as i*c + v and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12672*w = 13373*w - 37153 for w.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 66*u**3 - 2*u**2 + u. Let x be a(1). Let n = x + 442. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*z**2 + 26951*a*z**2 - 18647*z**2 wrt a.\nAnswer: -2*a*z**2 + 26951*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 25, -2, 63, -377 in descending order.\nAnswer: 63, 25, 3, -2, -5, -377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 2*z**2 - 2*z. Let x be 7*(9\/(-3) - -1). Let q = -12 - x. Give a(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*u**2 - 57*u**2 - 155*u**2 to the form g*u**2 + n + c*u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfsfwwwwwsffwwfwwwf. Give prob of sequence ww.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 (base 13) in base 4?\nAnswer: -1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.037 minus -1.34175?\nAnswer: 2.37875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - x = -9, -3*v = 2*x - 122 + 104 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c**3 + 5*c**2 - 10*c - 5. Let t(d) = 11*d**3 - 4*d**2 + 12*d + 6. What is 5*t(v) + 6*z(v)?\nAnswer: v**3 + 10*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5846, 11682, 17518, 23354, 29190, 35026?\nAnswer: 40862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 374332684*o + 472714456?\nAnswer: 374332684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/12 and 19\/12023?\nAnswer: 144276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -387, -1572, -3569, -6378, -9999, -14432, -19677?\nAnswer: -25734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -354*r**4 - 3*r**3 - 1301*r**2 + 9801157 wrt r.\nAnswer: -1416*r**3 - 9*r**2 - 2602*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205 + -206 + (3 - (-8 + (-1 - -3))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 188804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18248.1643 + 18249. Let u = -0.84 + d. Round u to four decimal places.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -21. Let u = -2 - t. Is 71 + -1 + (1 - u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0576435 * 0.3.\nAnswer: -0.01729305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((3\/(-65))\/((-9)\/(-6))). Let v = s + 70. Suppose 12 = -k + v*n, -n = -k + n. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.25 + -0.15. What is the nearest to -2 in 3\/4, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 3:24 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 2, 2\/67, 2\/5, 33, -5?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 greater than -55682416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -28*a - 361. Determine w(-14).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.115605938 - -9.1155. Round s to 6 dps.\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3537 and 3275.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*t - 1. Let p be (63\/6)\/(6\/(-16)). Let k be ((-3)\/6)\/(2\/p). Solve 5*l - 40 = -3*h, -k*l = -t*l - 4*h - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q = 2*z - 8, -q - 5 = -z. Let p(t) = t**3 + 10*t**2 + 19*t - 11. Let v be p(-7). Solve 3*m + 6 = v*w - 8*w, 0 = 3*m + 2*w - z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14015135999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112930 is divided by 459.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*(-3 + sqrt(75)*-2) - ((1 + sqrt(75))*-4 + sqrt(75))*5))**2.\nAnswer: 44460*sqrt(3) + 249759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 80 = 2*k. Suppose k*c + 10 = 25*c. Suppose c*l = -0*l + 1114. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 12:31 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(3\/3 + (-43)\/44).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/34, -5, -19\/7, 0.17.\nAnswer: -5, -19\/7, 1\/34, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 7\/1214 (c) -370\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 558?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 6. Let u be t(4). Let v be (-4)\/u + (-24)\/(-9). Let k(i) = 3*i**2 - 3*i + 2. What is the units digit of k(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**3 + 3*b**2 + 17*b + 32. Give v(-3).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -298 - -308. Let w be (-126)\/35 - 4\/m. Which is the second smallest value? (a) w (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/544 and -89\/372266.\nAnswer: 5956256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 14*s - 17. Let o be a(14). Let h = 45 + o. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66990003 + 5\nAnswer: -66989998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168041 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 26380 to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -15. Let t be (-2)\/(-3) + 67\/3. Let u = t + -2. Calculate the highest common factor of u and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + ((sqrt(30) - (sqrt(120) + sqrt(30))) + sqrt(30))*-6)\/sqrt(6)*-1)**2 + 4.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -73*s**3 + 5*s**2 - 5*s - 5. Let w(q) = 255*q**3 - 18*q**2 + 18*q + 18. Give -18*v(k) - 5*w(k).\nAnswer: 39*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/190)\/(1*-1*1)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + u**2)*(-u + 2*u - 3*u) + 236*u**3 - 277*u**3 - 194*u**3 to the form n + i*u + x*u**2 + h*u**3 and give h.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71182262323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 206 = 41*u - 39*u, 0 = r - 5*u - 46. Let i = 311 + -184. Calculate the remainder when i is divided by r.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23870 - -23835. What is the nearest to 0 in -3, -4, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 6:12 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Let y(d) = d + 1. Let z(p) = -p - 1. Let k(u) = -6*u - 6. Let h(r) = -2*k(r) + 11*z(r). Let b(a) = i*h(a) - y(a). Give b(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79586 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 742566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 100 - 46*y + 10*y**2 + y**2 + 4*y**2.\nAnswer: 15*y**2 - 46*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173083 is divided by 3036?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-6) + 6 + (-22 - -11)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 19 + (-10 - -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/31*(-2*1)\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 1\/3*d**3 - 13 + 0*d**2 + 0*d. Let r(t) be the first derivative of -35*t**2\/2 - 4. What is r(o(n))?\nAnswer: -35*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u = 12*u - 129*u + 10094. Solve u = -43*p - 6*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/((-3)\/(-480)). Suppose -8*b + o = -4*b. Is 8 a factor of 2\/b - (-318)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 144\/32*(-28)\/21*6\/4. Is -654\/79 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2418072062?\nAnswer: 2, 7, 43, 4016731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -14*k**2 - 6*k - 7. Let f(w) = 58*w**2 + 23*w + 29. Let i(r) = -2*f(r) - 9*v(r). Calculate i(-3).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 906*p - 8253 = -18784 - 15743 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/121 - -131\/605. Which is the closest to o? (a) -1\/4 (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 416560442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 8) to base 3.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -484 != -66110\/137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 282 and (-16)\/48 + (275\/3)\/5?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsdmmmmms. Give prob of sequence ds.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 64*u - 20. Let h(a) = -3*a - 7. Determine -44*h(q) - 2*p(q).\nAnswer: 4*q + 348","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5374 is divided by 833?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 3:02 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l = -100. Suppose -4*s - 5*u - 2 = -l, 5*s + 2*u = 33. Let x(h) = 2*h - 9. Calculate the remainder when 14 is divided by x(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 - 0.8. Let d(z) = z**3 - z**2 + 2*z + 1. Let y be d(0). What is the biggest value in s, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 4*m**2 - 1 + 1 as z + h*m + t*m**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 3*q + 3*q)*(3 - 3 + 2) + (-7 + 1 - 1)*(-2*q - 4*q + 5*q) - 4*q + 2*q + q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0 - 1\/2*i**5 - 10*i**2 - 5\/6*i**3 + 1\/6*i**6 + 0*i + 5\/6*i**4 - 1\/42*i**7. Solve t(c) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*d**4 + 35*d**3 + 2*d**2 - 1429205*d?\nAnswer: -480*d**2 + 210*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 - 26. Let k = u - 25. Let j = -4 + 4.3. Put -1\/2, j, k in decreasing order.\nAnswer: k, j, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 530\/231 - 2\/231. Suppose -8*d + 2*d = -288. Let j = d + -47. Is j != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 981 and 17143956?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 1)*(958*p - 646*p - 584*p) in the form y*p + x and give y.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/3 + 103024*v**2\/3 + 34342*v = 0 for v.\nAnswer: -1, 0, 51513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4326, -2901, -1476, -51?\n\"Answer: 1425*k - 5751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 5. Let o be i(3). Solve 5*l - o*l = -15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.07 or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - aa37?\nAnswer: -aa34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -268*r*x**5 - 2*r*x + 1363*r - 201*x**2 + 14*x + 1 wrt x?\nAnswer: -5360*r*x**3 - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + 9. What is the lowest common multiple of w and 5?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3451, -3857, -4503, -5365, -6419, -7641, -9007?\nAnswer: -10493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 21*k + 17. Let u be ((-4)\/10)\/((-2)\/20). Let p = 1702189 - 1702200. Let o(t) = 7*t + 6. What is p*o(z) + u*i(z)?\nAnswer: 7*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-2106)*36*-2*3\/16?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most -1174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1295 and 49765?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 73869129 to the nearest one million.\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 97*v**2 - 67*v - 96*v**2 + 4.\nAnswer: v**2 - 67*v + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/(6\/(-8)) + 21. Let a = n + -17. Is (7 - 10)\/(a\/(-5998)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(242)*-5*2 + sqrt(242) + sqrt(242)) - (1 + (sqrt(242) + 0 + -1)**2).\nAnswer: -244 + 110*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*74\/(-1). Suppose o + 5*f - p = -11, -3*f = -o + 2. Solve -4*c - o = 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11479588966 to the nearest one hundred thousand.\nAnswer: 11479600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1814982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4542*b - 76*b + 1975*b - 345*b + 1732*b in the form h + f*b and give f.\nAnswer: 7828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -y - 8. Let b(s) = 14*s - 16. Let i(m) = 5*m - 6. Let l(q) = y*i(q) - 3*b(q). Let p(v) = -21*v. Calculate l(p(u)).\nAnswer: 42*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274 - 135 + 23*q - 149.\nAnswer: 23*q - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 368 and 24.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, t: 5, r: 1, a: 1}. What is prob of picking 1 g and 1 r?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + i - 2. Let l be g(-3). Let q = -3 + 13. Calculate the remainder when q is divided by (3 - 9)\/((-6)\/l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 146856 and -1420.\nAnswer: -208535520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 2*t**2 + t**4)*(-4 + 1 + 1) + t**4 - t**4 + t**4 + 2*t**4 - t**4 - 2*t**4 + (-t**2 - 4*t**3 + t**2)*(2*t - t + 4*t).\nAnswer: -22*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**0)\/z*z**5\/z)**(-20) assuming z is positive.\nAnswer: z**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a micrometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 420994030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*t + 44, 3*c + c + 4*t = 60. Let d(s) = -7*s**2 + 7*s - 8 + c - 4 + s**3. Does 5 divide d(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -0.12 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*x - 5. What is the third smallest value in 3\/10, x, -3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000694721 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 2. Let h(i) = -i**2 + 14*i + 17. Let g be h(15). Let l(v) = 0*v - v - 3 - g*v + v. Suppose -4*s + 9*s = 20. Determine s*l(y) + 5*z(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21912 and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76615.76 litres to millilitres.\nAnswer: 76615760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 13443 and -98.691.\nAnswer: 13344.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j. Let s(o) = -352*o**2. What is s(q(z))?\nAnswer: -1408*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 16*o - 44*o + 4*o. Let n(u) = -8*u. Let z(t) = -6*a(t) + 17*n(t). Let s(d) = 2*d**2 + 7. Give s(z(r)).\nAnswer: 8*r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1308 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**3 + 46592*y**2 - 135395920*y - 1631467200 = 0. Calculate y.\nAnswer: -12, 5830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 2*q**3\/3 - 11*q. Let n(r) = 3*r + r - 2*r. Calculate n(h(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 3*q - 3*q)*(-4*q**2 + 2*q**2 + 3*q**2) + 2*q**3 - 5*q**2 + 5*q**2 + (25*q - 108*q + 55*q)*(0*q**2 - 1 + q**2 - 1).\nAnswer: -27*q**3 + 56*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39208 is divided by 377?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 3 + (2 - 3 + 0)*(0 + 1 + 1))*(-x + 4*x - 2*x)*(-25 - 12 + 9) to d + l*x and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1163 to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26313*i + 26423*i + 3410 = -4*r, 2*i - 3*r + 62 = 0 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 8. Calculate the remainder when 115 is divided by (0 - 29)*(-11 - i).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/20, -276\/7, 0.02, -0.3, 6 in descending order.\nAnswer: 6, 0.02, -1\/20, -0.3, -276\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00072853014 rounded to 5 dps?\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 6:58 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from {i: 1, h: 3, s: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*f**3 + 58*f**3 + 45*f**3 + 91*f**3 + 127*f**3.\nAnswer: 146*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 433 - 23809\/55. Let f(d) be the first derivative of 0*d + 32\/33*d**3 + v*d**5 - 13\/22*d**4 - 2 - 4\/11*d**2. Factor f(u).\nAnswer: 2*u*(u - 2)**2*(3*u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/32 - -75\/224. What is the closest to 0.1 in 5, v, -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 401351?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 6*u = u + 33, -3*r = u + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1 - (19 - (-748)\/(-33))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 12*y**2 - 10*y + 13. Let b be g(-11). Let z be b\/8*(-7)\/(-7). Factor z*m**2 + 3\/4*m + 1\/2.\nAnswer: (m + 1)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) 1571.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 2*q + 2. Let k be m(2). Suppose 2*p = 4*j - 22, 0 = j - k*j - 4*p + 8. Solve 0 = -4*d - 3*h + 25, -2*h + 6 = -d + j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68203962*v**3 + 27425542 wrt v.\nAnswer: 204611886*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3068*l + 1024*l + 10 + 1023*l + 1023*l. Let w(d) = -d - 10. Determine -4*q(k) - 6*w(k).\nAnswer: -2*k + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11313 + 9*a**2 - 5655 + 9*a**2 - 5656.\nAnswer: 18*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/7, 40776\/13, 2\/3 in ascending order.\nAnswer: 2\/3, 8\/7, 40776\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-27)*(-12)\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297 (base 12) to base 8.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1191273?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/9093 and 97\/7794?\nAnswer: 54558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 768 divide 10668198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 3 + 2 - 162. Let j be 2\/5 - u\/15. What is the greatest common factor of 88 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(-j**2 + 3*j**4 + 4*j**2 - 2*j**2).\nAnswer: 9*j**4 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**5\/20 - q**4\/6 + q**3\/2 + q**2 - 2*q. Let h be r(-3). Let i(g) = -3*g**2 + 5*g**h + 3*g**2 - g**3 + 1. What is i(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93894, 0.1, -5, -4, 4\/5.\nAnswer: -93894, -5, -4, 0.1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**5\/60 - 5*y**4\/24 + 8321*y**3\/6 + y**2 - 70. Is j(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2994 is divided by 214?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/10)\/(6\/40). Suppose -2*a - 4 = -v. Sort a, 1, -2 in ascending order.\nAnswer: -2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 3*v**5\/20 - 523*v**4\/4 + 68643*v**3\/2 - 204363*v**2\/2 + 3144*v. Factor s(t).\nAnswer: 3*(t - 261)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 + 114. What is the remainder when 166 is divided by z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 - -1. Let v = 5.12 - 0.12. Let t = 0.75 - -0.25. Which is the second biggest value? (a) v (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-12) - (-24)\/(-144).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -16. Let u be 2 + -27 + 1 + 1. Which is the second smallest value? (a) u (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/8*4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 2:55 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -20*c**3\/3 - 726*c**2 + 584*c + 757. Solve o(v) = 0 for v.\nAnswer: -73, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(((b\/b**(-2\/9))\/b)\/b*b)\/b*b*((b**23*b)\/b*b)\/b assuming b is positive.\nAnswer: b**(218\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, o: 3, j: 3}. Give prob of picking 1 j and 1 d.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 4:59 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (915\/(-244))\/(63\/(-28)*2)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7492 is divided by 147.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 45. Let w = 5 - i. Find the common denominator of 15\/11*4\/w and -41\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u = -28*u - 11304. Let a be u\/72*-3*(1 - 2). Which is smaller: 156 or a?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373842*k = -373341*k - 20541 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 15. Let t = y - -29. Suppose p - 3*p + 10 = 0. What is the remainder when t is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -183058, -366678, -550298?\n\"Answer: -183620*s + 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 7*k**2 + 2*k - 4. Let a be j(7). Calculate the greatest common divisor of a and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/8 - (-85)\/340. What is the nearest to 2 in 5\/3, 2, a, 0.35?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -606*z - 9244 - 2664 + 1000 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2007*p - 1755. Determine d(1).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*p**2 + 135130 + 135131 - 270261 + 2*p**4 - 2362*p - 27*p**2 - 4*p**3 wrt p?\nAnswer: 24*p**2 - 24*p - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(80) + sqrt(5))*4 - -6*(0 + sqrt(5)) - sqrt(50)\/((sqrt(70) - 1*sqrt(70) - sqrt(70))\/sqrt(7)))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*q - 7477630 = 213*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 0, -7442709?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10660 (base 12) to base 3.\nAnswer: 1002201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*-4*(-2)\/(-5)*4070\/296.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f. Let c(k) = 113954*k**2. Give s(c(x)).\nAnswer: -227908*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 14. Let s be j(7). Which is the third biggest value? (a) s (b) -0.5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (-22 + 13 - (-29 + -2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -26959 in ascending order.\nAnswer: -26959, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7170 divided by -30\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**3\/3 - j**2 - 61. What is p(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -161.36 - -158. Let h = -4.4 - g. What is h rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 1)*(6 + 7 - 15)*(i + 4*i - 4*i)*(2 - 2 - 2).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7*f = -6. Suppose 0 = a + u - 3 + 8, 5*u = -f*a - 19. Let m be 174\/12 - 3\/a. What is the highest common factor of m and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (5 - -5)) + -6 + -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**4\/24 + 3*r**2. Let z(v) = 5*v - 8*v + 6*v. What is z(q(m))?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 32237096*c + 64951897407076.\nAnswer: 4*(c + 4029637)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7581134g in tonnes?\nAnswer: 0.0000007581134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25123951 or 25123968?\nAnswer: 25123968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/59247?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - 0. Which is smaller: b or -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -9. Let j(q) = 4*q**3 + q - 1. Let w(y) = -5*y**3 - y**2 - y. Let b(k) = -6*j(k) - 5*w(k). Calculate the remainder when b(-5) is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.037, 235, 5, 2\/9, -56\/3 in ascending order.\nAnswer: -56\/3, 0.037, 2\/9, 5, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 210111330 (base 4) in base 12?\nAnswer: 72190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (0\/(-5) + 3). Let d(x) = -3 - 2*x + x + 5. What is d(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t + 2 + 4 - 6.\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-784260)\/(-216) - (-2)\/12?\nAnswer: 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4606*u. Let s(l) = -14*l + 9. What is s(q(r))?\nAnswer: 64484*r + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**5 + 8382*p**3 - 34*p**2 - 530?\nAnswer: 120*p**2 + 50292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - d - 779, 0 = 3*d - 12. Suppose 28*k = 25*k - p. Let w = 97 + k. Calculate the highest common factor of 25 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + -5 + 4*((sqrt(84) - (sqrt(84) + (1*2*sqrt(84) - sqrt(84)))) + sqrt(84))\/sqrt(12)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 105 = -6*r. Let d(k) = -2*k**2 + 35 - r. Let h(m) = 2*m**2. What is d(h(s))?\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 721 and 371.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19557901?\nAnswer: 11, 53, 33547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*v = -515*v + 3940*v - 206310 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4438 - -4428.657. Let k = w + 9.4. Round k to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3874.992032 + 3875. Round b to four dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1020000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 11, w: 5, i: 2, z: 2}. What is prob of sequence wii?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**4\/18 - 11*r**3\/45 + 2*r**2\/5 + 255*r. Solve q(v) = 0.\nAnswer: 1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2)*r)\/r*r**(-1\/9)*(r*r\/r**(-42)*r*r*r*r)\/r*r**19 assuming r is positive.\nAnswer: r**(1195\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 64. Let z = -25 + r. Let x(p) be the second derivative of p**3\/6 - p**2 + p. Calculate x(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270972 a multiple of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.36 + -0.34. What is the third smallest value in x, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478368 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -7) + -10 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a millennium in years?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5380.\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -759\/4 - -5357\/28. Let l be (-2)\/(-6) - 139\/84. Let u = z + l. Which is the nearest to -0.1? (a) -1\/3 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20551, -20547, -20541, -20533, -20523, -20511, -20497?\n\"Answer: x**2 + x - 20553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10855709 + 19*t**3 + 10855709.\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**38*b*b)\/b**(2\/23) assuming b is positive.\nAnswer: b**(964\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*m**2 - 44*m - 45*m + 127*m - 40*m - 531*m**2 as t + d*m**2 + p*m and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = x - 2074903, 2*r + 5*x - 3458155 = -3*r. Let v = -1241636 + r. Round v to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*i - 121 = 0, 93*i = 1665*x - 1666*x + 2326 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 12:44 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*l + 76*l + 32*l**4)*(-2*l - 2 + 2).\nAnswer: -64*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 2\/3 (c) -3 (d) -0.027 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 564 and 122721324?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -143943 and -143942 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 - 2)*(-2 - 3 + 4) + 2145 + 4869 - 36148 - 46523 + 9701)*(-2*q + 2*q + q).\nAnswer: -65955*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -964 - -1383. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 121, 1 in descending order.\nAnswer: 121, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -68 times 129291\nAnswer: -8791788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - x - 9 = 0, m = -2*m + x + 5. Is m*((-250)\/(-4) + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -3. Let j(z) = 7*z**3 + 3*z**2 + b - 5*z**3 - 4*z - z. Let i(f) = f**3 + f**2 - 2*f. Let c be (-4 + 5)\/(((-15)\/6)\/(-5)). Give c*j(a) - 5*i(a).\nAnswer: -a**3 + a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8449621 to the nearest integer?\nAnswer: 2907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15459*t**3 + 46373*t**3 - 15453*t**3 - 15459*t**3 - 19.\nAnswer: 2*t**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 100*c - 1046. Calculate r(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 19*z. Let m(i) = i**2 + i. Let f(s) = -3*s**2 - s. Let y(o) = -f(o) - m(o). Determine q(y(r)).\nAnswer: 38*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -176.8 * -0.01.\nAnswer: 1.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s**(4\/15)*s))\/(s\/s**32) assuming s is positive.\nAnswer: s**(461\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403022437.\nAnswer: 6761, 207517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 1:46 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 363 + -361. Sort 0.4, 2\/13, w, -3 in decreasing order.\nAnswer: w, 0.4, 2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408287851 and 5393.\nAnswer: 5393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.37 - -0.63. What is the closest to 1 in m, 1\/8, -1\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**2 + 13*n - 3*n + 5*n**2.\nAnswer: 12*n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - -57 - (3 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9936859609.28 take away 0.2?\nAnswer: 9936859609.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3829 divide 64874747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - y + 10*y**2. Let d(m) be the second derivative of m**3\/3 + 4*m. Calculate d(v(o)).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10463 (base 7) to base 8\nAnswer: 5122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 11*s = 2*z + 38, 5*z + 102 = -2*s. Which is the fifth smallest value? (a) -0.4 (b) z (c) -2\/13 (d) 0.1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/(-220) + (-1277)\/(-25540)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5645 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1892*y**2 - 943*y**2 - 948*y**2 + 786*y**3.\nAnswer: 786*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 (base 7) in base 12?\nAnswer: -b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 290.856 to 0 decimal places.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 397 divide 130264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from prrprrrprrrprrrrrprr?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/sqrt(810) - (sqrt(5) - sqrt(40)\/sqrt(800))**2) + (sqrt(60)\/(sqrt(60)\/sqrt(5)) + 4)**2*4.\nAnswer: 289*sqrt(5)\/9 + 1599\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 24*s = 0. Solve -4*q - 20 = -2*b, -3*q - 29 = -s*q - 5*b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/13 - 1400*r**2\/13 - 2806*r\/13 - 108 = 0. Calculate r.\nAnswer: -1, 702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3675809?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a7 - -1?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -2, 5\/16, -4, 4\/3, 60?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + u**2 + 4*u + 2. Let v be d(0). Suppose -s + 2*b + 23 = -4, -2*s - v*b = -66. Calculate the common denominator of s and -51\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1664560 (base 9) to base 6\nAnswer: -31522300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1560237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/27)\/(g*(((g*g**(1\/12))\/g)\/g)\/g)*(g\/g**(4\/3))\/g**(6\/13) assuming g is positive.\nAnswer: g**(223\/1404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -957433, -957434, -957435, -957436?\nAnswer: -957437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + 2 + 2 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 10) in base 6?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - 1)*156\/(-7). Let q = -109 - w. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -41*u**4 - 4*u**3 + 4*u**2 - 8. Let z(q) = 40*q**4 + 3*q**3 - 3*q**2 + 9. Let w(n) = -3*a(n) - 4*z(n). What is the first derivative of w(b) wrt b?\nAnswer: -148*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (80\/(-100))\/(4\/(-10)). Suppose 29 = -5*g + 2*r + 150, -4*g = -z*r - 96. Calculate the highest common factor of 75 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 199 + -199. Solve -h + l = 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) -2187 (c) 4 (d) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2398998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert c0045 (base 14) to base 7.\nAnswer: 3630115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 24634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/19, 1, 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 15478, -26\/3, 2, 0.4, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**5\/60 - 11*s**4\/24 - 6*s**2. Let x be n(-11). Let k be x - (-3 + 0) - -2. Solve -k*w = 17 - 7, u - 2*w = -1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 62*m**3 - 3*m. Let p(g) = -6077*g**3 + 295*g. Give 3*p(k) + 295*y(k).\nAnswer: 59*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 5*f - 9*f + 4*f - 3*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 0*p**2 + 0*p**4 - 1\/3*p**3 + 0*p + 0*p**5 + 1\/6*p**6 + 3. What is the third derivative of y(g) wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/9, 2, -27 in increasing order.\nAnswer: -27, -2, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 + 0.3. Let w = -6 + a. Let f = 2 + w. What is the closest to 1 in f, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*l + 1536 + 2440 = -340*l - 68*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1394492 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79690653?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - h + 24, -h = -4*y + 3*h + 64. Let u = 17 - -28. Calculate the remainder when u is divided by (-5 - -1)\/((-8)\/y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/4*i**2 + 3\/4*i**3 - 3\/4*i - 3\/2 - 3\/4*i**4 = 0. Calculate i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*z + 23, 2*z - 5*j = z + 27. Suppose -2*p - 2*i - 16 = -4*p, -3*i = z*p + 9. Solve 3*a + 1 = -p*q + 10, -6 = -2*q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1345377 and 203137.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43638 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**3)**(1\/2)\/(k*k*k\/(k*k*k**(-1\/29)\/k)*(k*k*k*k*k**(-25)*k)\/k))**(1\/7) assuming k is positive.\nAnswer: k**(608\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 768*r**2 + 1907*r**2 - 1193*r + 1190*r.\nAnswer: 2675*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*a - 141*a - 5*i - 71893 = 0, 3*a - 71907 = 3*i. What are the prime factors of a?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3843976.5 minutes?\nAnswer: 2669.428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2*m + 12. Suppose -3*o - 81 = -m*o. Calculate the remainder when o is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3*(-12)\/(-28))\/((-25008)\/(-3647)).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57230.91ug to kilograms.\nAnswer: 0.00005723091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336280.\nAnswer: 2, 5, 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1975.358l in millilitres?\nAnswer: 1975358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 474 and 7367224?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndnnntnavvan. What is prob of picking 1 v and 1 n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 0.1. Let q = 5 - 2. Let p = -5 + q. Which is the nearest to 0? (a) 0.1 (b) p (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 2*x + 30. What is the lowest common multiple of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -820, -1657, -2462, -3217, -3904, -4505, -5002?\nAnswer: -5377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22245 + -3.\nAnswer: 22242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = 3. What is the first derivative of -3 - q*t + t + 0 wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -11*v**2 - 6745*v - 41346. What is u(-607)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(77))\/sqrt(11) + -5)*-2 + (-2*sqrt(7)*-4 - sqrt(56)\/(3*sqrt(8))))*6.\nAnswer: 60 + 94*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6)*2\/3. Let o = -0.45 + 0.05. Let s = 81 + -81.3. Put z, s, o in increasing order.\nAnswer: o, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2922976.\nAnswer: 2, 7, 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-13\/4)*k*k\/(k*k**(-1))*k)\/((k\/k**(-9))\/k**20) assuming k is positive.\nAnswer: k**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**3 - 44*g**2 + 71*g + 36. Give i(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -46, -58, -72, -88, -106, -126?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -35\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*n - 363 = 0, -g - 10*n - 363 = -5*n. Let f = 370 + g. Solve -w + f = 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -0.029 (c) -7554\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**2 + 1\/3*l**3 - l - 7. Let m be h(-4). Which is smaller: 8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 951 - 1566. Let n be (-2)\/(-15) + (-2378)\/m. Solve -n*h + 5*h - 3 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y + 14*y - 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 7*p + 2. Does 6 divide c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -474365146 - -474364386.980058. Let l = -758.58 - o. Let t = 0.44 - l. What is t rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*g**3 + 2189*g - 821*g - 1368*g.\nAnswer: 313*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**3 + 60*d**2 - 175*d + 120 = 0.\nAnswer: 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 292*g + 27. Suppose -12*k - 8 = -16*k + 4*a, -6 = -2*a. List the prime factors of s(k).\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1258\/(-51))\/37)\/((-17)\/(-3))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.2 + -9.2066. Round w to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1630, 3250, 4868, 6484?\nAnswer: 8098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/120 + z**5\/10 + z**4\/6 + 2*z**3\/3 - z**2. Calculate the remainder when 26 is divided by g(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from {l: 2, h: 1, o: 1, p: 2, c: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 6. Let w = 347 + v. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 805*i**4\/6 + 9190*i**3\/3 + 12805*i**2\/3 - 54790*i\/3 + 21595\/2 = 0.\nAnswer: -21, -617\/161, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 29686647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**5 - 209581976*d**3 + 750021156*d wrt d?\nAnswer: -20*d**3 - 1257491856*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 12*w**2 + 2*w + 17. Let q be r(-12). Let z(s) = s**2 + 2*s + 1. Does 12 divide z(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c**2 - 333*c + 6500. Calculate o(22).\nAnswer: 2562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972488261 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1870 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (0 + (-3 - -3)). Suppose 2 = -3*b - 4*o, -4 + 22 = 4*b - 5*o. Find the third derivative of -b - 30*n**5 + 27*n**5 + x + 2*n**2 wrt n.\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 470588 and 284.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -36, -159, -406, -819, -1440, -2311?\nAnswer: -3474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*m - 6*m + 205, -3*q + 177 = 3*m. Let b be (1368\/m)\/8 - 4\/(-14). Factor u**3 - 10*u**2 + 2*u + 10 - 4*u**3 + 0*u + u**b.\nAnswer: -2*(u - 1)*(u + 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 2*u + 0*u**3 - 1\/3*u**4 + 0 + 0*u**2 + 0*u**6 + 0*u**5 + 1\/42*u**7. Find the third derivative of b(k) wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 - 82. Suppose l*b - 2530 = 1898. List the prime factors of b.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 570 and 1236710.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1.5. Let v = -2 - -2. Let n = -2893\/6832 + -5\/976. What is the second biggest value in w, n, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 605\/(-25) + -4 + -2. Let v = 2105623\/315 - 59894\/9. Let u = x + v. Sort u, 1\/2, -4.\nAnswer: -4, u, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k + 15 = 0. Suppose k*j = 2*u - 29, 6*u - u = j + 40. Find the second derivative of -2*g**2 - u*g + 4*g**2 - g**2 + g**2 wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j + p - 7, 16 = 5*j + 3*p. Suppose y + 4*s = 36, -3*y + 57 = -y + j*s. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, i: 3, q: 4}. Give prob of picking 3 s.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 713839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2 - 3 - 1 + 2*g. Let a = -110 + 209. Let p(f) = a - 52 - 52 + 5*f. Determine 3*p(i) - 8*u(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2. Let i(s) = -148 + 2*s - 184 - 75. Calculate i(t(v)).\nAnswer: -4*v**2 - 407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7*h = -12. Let m = 29 + -21. Suppose h*c - 6*c + m = 0. Put c, -3, 2 in increasing order.\nAnswer: -3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-200 - -87) + -2\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 1 - (-1 + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17 - -5.17. Suppose -4*s = -2*g - g - 12, 3*s - 2*g = 9. Which is the second smallest value? (a) l (b) -1\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 8:56 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9359\/25000 + -2\/3125. Which is the closest to 0.2? (a) 1\/23 (b) 0 (c) t (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -529 in -5, 17, -0.4, -17, -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.75 + 1.45. Let z = y - 2.1. Suppose 4*r + 2*u = -0*r - 12, -r + 4*u = -15. Which is the nearest to 0.1? (a) -1\/4 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**3 - k**2 + k**2 + 0*k**2 + k - 2*k**2 - 1 to i + v*k + p*k**2 + j*k**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6 - -9) + -3)*(1 + 0). Let l = -4 + 0. Which is the closest to -0.1? (a) l (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 q, and 2 l when four letters picked without replacement from {q: 3, o: 9, j: 1, l: 5}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1710 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n - 6309 = -6757. Solve 0 = 38*w - n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, z: 3, c: 2, p: 2}. What is prob of sequence pv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.5 (b) 0 (c) -0.2 (d) -373 (e) -1.873\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**6\/180 - c**3\/6 + 3*c**2. Let w(z) be the first derivative of o(z). Let a(j) = -3*j. Determine a(w(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1484*l**2 - 10343*l + 318. Determine i(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1643222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 375 or 11985\/32?\nAnswer: 11985\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 9*j**2 + 20*j - 18. Determine a(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 10 + 10 + 0 + (5 - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.7 + -9.5. What is the second biggest value in o, -0.2, -9\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6646*p*s**2 + 3*p*s + 89947*p wrt s?\nAnswer: 13292*p*s + 3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 9, 2027, 5 in increasing order.\nAnswer: 5, 9, 22, 2027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5 = j, -5*n = -4*n + 3*j - 15. Which is greater: n or -1\/34?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21262184 to four decimal places.\nAnswer: -0.2126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 124, 152, 182, 214, 248, 284?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**35\/q)))\/((q\/(q\/(q\/q**(2\/65))))\/q) assuming q is positive.\nAnswer: q**(2212\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 125435 divided by 39?\nAnswer: 125435\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 873, 3504, 7889, 14028, 21921, 31568?\nAnswer: 42969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 43*t**3\/3 - t**2\/2 + 6*t - 13. Calculate the remainder when f(2) is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 0)*(-2*k + 10*k - 3 - 10*k)*(-k + 1 - 1 + 5 - 5 + 9*k + (k + 0*k + k)*(-1 - 1 - 1)).\nAnswer: -12*k**2 - 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1425?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 2*g. Let l(m) = 159*m**2 + 12*m - 82. Suppose -54*b = -66*b - 12. Let n(f) = b*l(f) - 6*c(f). Find the first derivative of n(y) wrt y.\nAnswer: -306*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -234, 771, -3, -4, -13 in decreasing order.\nAnswer: 771, -3, -4, -5, -13, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -4049*o**3\/3 - 425*o**2\/2 + o - 1237. Find the second derivative of x(d) wrt d.\nAnswer: -8098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + p + 24, -52 = 11*l + 834*p + 820*p - 1652*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5 + 36*l**4 - 214*l**3 - 2928*l**2 - 5080*l - 2400 = 0.\nAnswer: -20, -6, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435*o = -460*o + 2800. Solve -o = -2*i + 58*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*k + 58, 0 = q - k - 11 - 6. Let p(c) = -34*c**3 + 2*c**2 + 4*c + 1. Calculate the remainder when p(-1) is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/4 or -6966?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1.3 (c) 0.593\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, r: 2, c: 1, y: 7}. Give prob of picking 2 y.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -1, -1945, 9 in ascending order.\nAnswer: -1945, -1, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.29? (a) 1\/2 (b) 0.2 (c) -0.1 (d) -30 (e) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 900566*n**2. Let r(o) = 21*o. Determine r(f(d)).\nAnswer: 18911886*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 9. Let f be k(-19). Suppose -1887 = -4*z - 3*o + 2234, 4*z = -2*o + 4126. Find the common denominator of 35\/16 and (z\/f)\/11 - 2.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7812706.\nAnswer: 2, 11, 379, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 11 = o, -5*n = -3*n. What is the tens digit of 1*3071\/o + 2\/(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 + 7*o**2 + 21. List the prime factors of r(-5).\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -1a7?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7 - 2)*(12 - 12 + 3*a) + 10 - 614*a + 12 - 12 - 10 in the form r*a + g and give r.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*c**2 - 280*c**2 + 571*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 10. Suppose -5*j + 5*u + 805 = 0, 0*j - 3*j - 2*u + 498 = 0. Suppose 4*b + 44 = j. Calculate the smallest common multiple of b and v.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -5904?\nAnswer: -118.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from ffdfdfnfd?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 621901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(47\/329)\/(6\/(-7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/11 (b) -0.3 (c) -0.4 (d) -0.68 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-24) - -49*9\/108.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 0*k**4 + 4*k - 1\/20*k**5 - 1\/6*k**3 + 0 + 9\/2*k**2. Let i = 2096 + -2096. Give o(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**3 - 3*t**2 - 3*t - 3. Suppose 3*r + 68 = -2*g + 74, -r - 11 = 5*g. Let q(z) = 4*z**3 + 2*z**2 + 2*z + 2. What is g*q(a) - 2*v(a)?\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14908 is divided by 3720?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*p**2 + 2*p**4 + p**3 + 215*p**2 - 65*p**2 + 2445*p - 74*p**2 in the form w + y*p**4 + k*p**3 + v*p**2 + h*p and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.529 + -77.751. Let x = y + 0.28. Let k = -77.9876 - x. What is k rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 + 70. Let y be 2\/p*80\/(-8) + -3. Which is smaller: -1\/3 or y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 869*d + 1871*d - 626*d + 110600 = -98*d for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70108698*r**2 - 7873467.\nAnswer: 140217396*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -21674, 2\/5, -1\/3.\nAnswer: -21674, -1, -1\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -330310212 (base 4) to base 11\nAnswer: -160199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 + -51. Let i = d + 90. Calculate the highest common divisor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 20016255?\nAnswer: 20016246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 23*r - 22*r + 18, -3*r + 6 = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, s: 4, r: 1, m: 1}. Give prob of sequence ssm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -181, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25422 + 25319.43. Let q = 14.4 + 88.6. Let s = q + a. What is s rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.029 - -3.571. Let n = 1.4 + p. Let i = n - 8. What is the closest to 2 in 0.1, -1\/8, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.5445211 rounded to one dp?\nAnswer: -54.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1576 + -1575.999992746. Round g to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 2*h**2 + 2*h - 3. Let v(u) = -u**3 + u**2 + 2*u - 2. Let z(r) = 3*v(r) - 2*x(r). What is the tens digit of z(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 11:53 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 239*u**2\/2 + 10*u + 1. Is r(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 406 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12813 - 12818. Put -0.4, c, 14, 3\/7, 0 in descending order.\nAnswer: 14, 3\/7, 0, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {j: 2, s: 5, y: 6, z: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*k*z**2 + 2*k*z + 2349*k - 40*z**2 + 18*z - 8 wrt z?\nAnswer: 8*k*z + 2*k - 80*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 968 = -5*w. What is the units digit of w\/12 - (-2)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(1\/2)*t))*t*t)**(4\/11)*(t**0)**(2\/41) assuming t is positive.\nAnswer: t**(14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/5 + (-4448)\/(-160). What is the greatest common factor of 403 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6032406 rounded to 3 decimal places?\nAnswer: 0.603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 4601\/(-215) + 0 + 754\/10?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 61 = -4*v, 3*w - 8 + 31 = v. Let a(q) = q**2 - 30*q + 42. Let x be a(28). Let d = w - x. Calculate the remainder when 17 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -214 and -86.\nAnswer: 18404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -396609*f**3*s - 417*f**3 + 4*f**2*s + 25*f*s + 915476 wrt f?\nAnswer: -2379654*s - 2502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b + 192. Let j be c(49). Let v = 4 - 2. Let r be (v + -4)\/12*-2. What is the closest to 0.6 in j, -0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 15\/6 - 77\/2. Let y = 72 + b. Let w = y + -19. Solve -2*i = i - w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -59. Which is the closest to 2\/9? (a) 2\/17 (b) o (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2092, 8383, 18868, 33547, 52420, 75487?\nAnswer: 102748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*d, 2*k - 3*k = 2*d. Let h = 157 + -108. Suppose -5*v + h + 46 = k. Calculate the remainder when v is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 15*i - 11. Let c(p) = 8*p - 6. Let j(s) = 6*b(s) - 11*c(s). Let t(o) be the third derivative of 0*o**3 + 1\/12*o**4 + 0*o + 0 + o**2. Give j(t(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28387812 divided by -2365651.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3797 - 1.3. Let t = -1.0797 + p. Let n = 0.2 + 0. What is the third biggest value in t, -0.04, 2, n?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(1 + 14\/(-8)). Let y(b) be the first derivative of -4*b**3\/3 - 5*b**2 + b - 189. Let t be y(w). Sort -3, t, 1 in ascending order.\nAnswer: t, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 9:10 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -31 - (-5)\/25*5. Let i be (c\/126)\/(-4 + 104\/28). Factor 5\/3*l - 5\/6*l**2 - i.\nAnswer: -5*(l - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 7*i - 77. What is h(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61616203*d**3*u + 5*d**3 + 57*d - 5047 wrt u.\nAnswer: 61616203*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49 and -0.29.\nAnswer: -14.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 2 + 2 + (2 - 5 - 1)*(5*l + 0*l - 2*l) + (l - l - 2*l)*(1 - 2 + 2) + l + l - 3*l to v*l + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + 72*j - 122. What is q(41)?\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16030*d**4 + d**3 - 11*d**2 + 301 wrt d.\nAnswer: 384720*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-80)*-8)\/(-1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + (5 - 4\/((-2)\/(-2))). Let p(k) = 5 - 5*k - 4 - 7*k**2 - k**3 + 0 - 8. Let r(d) = -d**3 - 6*d**2 - 4*d - 6. Determine l*p(n) - 7*r(n).\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -128.052 - -0.052. Let m = -115.2 - v. Round m to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 39*c + 39. Calculate j(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/2 - -15\/22. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - -94?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 122647766711800 take away 6?\nAnswer: 122647766711794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14517, -29054, -43619, -58224, -72881?\n\"Answer: -2*s**3 - 2*s**2 - 14517*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 28480 to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -162*z - 276.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 11*o**2 + 98*o + 65. Determine q(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444 > 105343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6240)\/144 + 1\/3. Which is the second smallest value? (a) 3 (b) -5 (c) -13 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 543713602?\nAnswer: 543713600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 1. Let c(d) be the second derivative of d**2\/2 - 16*d. Determine 5*c(n) - 5*g(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/22 - 1) + 639\/781?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038.69448 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 7) to base 11.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*y + 1666, -11 = 3*y + 4. Let j = f - 157. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -36*v - 68. Let q be o(-9). Suppose -q = -2*d + 580. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -63\/19 (b) 5 (c) -5\/4 (d) 202\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -2\/17 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*y + 45*y + 10*y - 385*y.\nAnswer: -269*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (103 - 21*k - 103)*(-2860 - 120*k + 2860) to y*k**2 + o*k + n and give y.\nAnswer: 2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29702 - 528?\nAnswer: -30230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10929 is divided by 377?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - 2*sqrt(14)*-6)\/(sqrt(175) - 2*sqrt(175)).\nAnswer: -13*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010367 rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 13 - 3. Let h be (-7)\/28 - (-50)\/8. Let x be ((-256)\/h)\/(3\/(-9)). Calculate the greatest common factor of x and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-63)\/2*(-8)\/12. Let w be f\/6 - (-1 - -4). Is -0.1 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -0.38 (b) -4 (c) -20 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 17*p + 9 - 19 + 2 - 12. What is the remainder when c(3) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4872181769*w**3 + 402*w**2 + 407*w**2 - 809*w**2 + 4872181777*w**3.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/53144 and -16\/1866683?\nAnswer: 14933464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-6)*3\/(-9))\/((-55)\/(23100\/(-4305))).\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a = -12*a + y + 13, 5*a + 31 = -2*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*v - 51, -4*y + 3*y - 24 = -3*v. Let t(f) = -f**2 + 11*f - 3. List the prime factors of t(v).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 66. Let u = b - -28.8. Let s = -0.2 + 0.3. Put s, u, 2 in increasing order.\nAnswer: u, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 4*v + 3. Let y be j(2). Let r be -1 - 14*3\/(-54). Let z = -0.4 - -0.3. Which is the closest to y? (a) -2\/15 (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-10)\/30*3\/(-3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-81)\/15 + (-4)\/(-10). Is 2\/a + 344\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**2 - 1375086174*s - 157571832160496523 = 0?\nAnswer: -229181029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*t**4 + 27*t**2 + 3*t wrt t?\nAnswer: -840*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 - 162*q**2 + 161*q - 65. Calculate c(80).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/2*(-90)\/(-25). Let d(z) = -4*z**3 - 2*z**2 - 4*z - 2. Let g be d(-2). Let f = g - v. List the prime factors of f.\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) 2 (b) 5\/3 (c) -1\/516\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, a: 1, s: 3, f: 1, k: 1}. What is prob of picking 3 s and 1 f?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 966*1\/5 + 2\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19301, 43572, 67843, 92114, 116385, 140656?\nAnswer: 164927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/7, -5\/3, 5, -6, 1 in descending order.\nAnswer: 5, 1, -3\/7, -5\/3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 + 4*c + 1. Let w(z) = -10*z**3 + z**2 - 24*z + 34. Calculate w(s) + 6*x(s).\nAnswer: 2*s**3 + s**2 + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-4))\/((-2)\/12). Suppose -2*b + 4 = k*r - 14, 3*b + r - 34 = 0. Solve b = -2*j + 3*m, -3*j - 5*m = -3 + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14973155*p**6 - 2*p**2 + 3283345*p wrt p.\nAnswer: 1796778600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 + 0.15. Let d = k - 0.57. Which is the third smallest value? (a) 4 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2247?\nAnswer: 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(1100).\nAnswer: 4 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3910762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (131 + 1)*(-2 + (-2 - -9)). Find the second derivative of -6*q**3 + 336*q - g*q - 1 + 336*q wrt q.\nAnswer: -36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59567*v - 59562*v + 95 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 3*n - 3. Let x be o(2). Let p be x\/(4\/(-3)) + 4\/16. Let d = -1 + 4. Sort d, p, 4.\nAnswer: p, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f**2 + 147*f**2 - 37*f**2 - 29*f**2 - 30*f**2 - 28*f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -311 (base 4) to base 13\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (160\/(-96))\/((-4)\/(-12)). Let q = 3 - 2. Put q, 5, m, 4 in decreasing order.\nAnswer: 5, 4, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 9:57 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + a - 68. Calculate the remainder when 7 is divided by (-3)\/12 + a\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/10165 and 5\/9?\nAnswer: 91485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18990, -37490, -55990, -74490, -92990?\nAnswer: -111490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, k: 7}. What is prob of picking 3 v and 1 k?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 11:26 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/721 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.062 smaller than 1259817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 953265185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1185538 is divided by 613?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4884901, 9769800, 14654699, 19539598?\nAnswer: 24424497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 - v - 1. Let q be a(-1). Let k(b) be the first derivative of -2\/3*b**q + b + 0*b**2 + 2. What is the first derivative of k(y) wrt y?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*z - 2676 = -156*z. What is the lowest common multiple of z and 24?\nAnswer: 5352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282.2723l to millilitres.\nAnswer: 282272.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6314 + -6289. Solve 0 = n + q*n - 156 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 3)*(-10*p + 13*p - 8*p) + 5*p - 5*p + 7*p + 3*p - 4*p + 8*p to the form d*p + g and give d.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1940841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*d*h**3*n*o - 75*d*h*n*o - 2*d*h*o + 2*d*n + 21*h**3 - h**2*o + 5*h*n - 2*h*o + 7*o wrt h?\nAnswer: 276*d*h*n*o + 126*h - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*56\/6)\/((-5)\/15). Let u = k + -24. Suppose u*d - 190 = 78. What are the prime factors of d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91795.5kg in nanograms?\nAnswer: 91795500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 58, 84, 98, 94, 66, 8, -86?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 231, -1, -2, -5, 135, 2 in descending order.\nAnswer: 231, 135, 5, 2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -5801523?\nAnswer: -8\/5801523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0062088864 rounded to five dps?\nAnswer: -0.00621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 + 0 = 0. Suppose -15 = -7*c - s. Suppose 0 = u - 5*f, 0 = -5*f + c*f. Solve 2*n + 3*g - 5*g + 14 = u, -n = 3*g - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/9, 2\/7, 17\/11 in increasing order.\nAnswer: 2\/9, 2\/7, 17\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -161163.\nAnswer: 4\/161163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 18980702, -5 in ascending order.\nAnswer: -5, -4, 3, 18980702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s + 624. Let r be (2\/(-4))\/(2\/s). Let w = 48 - 88. Is r >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -7, -4, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 55*k - 876. Calculate the lowest common multiple of h(-69) and 1770.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2. Let m(u) = 47699106*u. Give m(r(l)).\nAnswer: -47699106*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -849*m - 1656. Let f be c(-2). Solve -256*j = -270*j - f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o - 18. Let q be p(5). Suppose -q*v + 4*v = -3*h + 18, -4*v + 8 = -h. Solve -9 = v*m, 4*y - 5*m = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26419200 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 - 119. Find the second derivative of f + p*f + 185 - 109*f**2 - 197 wrt f.\nAnswer: -218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*626\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 25*g**2 + 1. Let o be f(2). What is the common denominator of -69\/2 and (-16)\/64 + o\/68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 7*x = 335. Let b = x - -69. Suppose 0 = -2*g - b*a + 78, -g + 52 = 4*a + 4. Calculate the remainder when 141 is divided by g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -12*o + 66. What are the prime factors of o\/4*(-52)\/(-39)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8060*p*s + 124*p + 27 wrt s.\nAnswer: -8060*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-315)*2317\/(-993)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*126\/175*7\/((-420)\/(-225)).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1481.1? (a) -1\/2 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -317 + 2870\/9. Find the common denominator of 14\/17 and q.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12301 * -1505.\nAnswer: -185.13005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 31*o - 1 = 29*o, 5*o = -4*k + 37 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-9)*276\/8. Let q = h + 47. Let i = q + -13. Solve -5*d + 1 = i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72618 by -294.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/((180\/(-25))\/9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s + 11. Let b(u) = -4*u - 7. Let o(v) = 7*b(v) + 5*p(v). Differentiate o(w) with respect to w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 times -1.99\nAnswer: 103.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20.7? (a) -5 (b) 0.04 (c) -0.1 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2.5318187*-1\nAnswer: -2.5318187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232807859 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**7\/21 + y**6\/15 - 9*y**5\/10 - 5*y**4\/6 + 16*y**3\/3 + 12*y**2 - 834*y. Solve u(q) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 433591*g**2*v**4 + 3*g**2 - 2*g*v**5 + g + 230175*v**2 wrt v.\nAnswer: 10406184*g**2*v - 120*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14009395441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22.45 from -2824264.\nAnswer: -2824241.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 26 - 66*j as t*j + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7062 - 3187. Does 151 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 53*d**2 + 9. Let l(m) = -25756*m**2 - 4371. What is 12*l(f) + 5828*u(f)?\nAnswer: -188*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -98, -169, -1\/2?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6466 = -2*i - c, -8*i - 5*c + 3224 = -7*i. Is i a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 23 - 7 + r**2.\nAnswer: r**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6096383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*m + 94. Suppose -6*f + 0*f = -714. Let h = m + f. List the prime factors of h.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/105*225\/(-30)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.136815 times 17.3?\nAnswer: 19.6668995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-246)\/164)\/(2\/22)*11\/(165\/20)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*v - v. Let b(r) = 5*r**v + 0*r - 4*r - 2*r**2 - r. Does 26 divide b(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6, x - g = -x - 3. Put 2, x, -2 in increasing order.\nAnswer: -2, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8922*v = -8926*v - 4*d + 92, -43 = -2*v + d for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1978, -1977, -1976, -1975, -1974?\nAnswer: -1973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-306)\/(-36) + -8 + 5\/2. Let q(c) be the second derivative of -7\/6*c**3 + 24*c + h*c**2 + 1\/6*c**4 + 0. Factor q(y).\nAnswer: (y - 2)*(2*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-152)\/12*-2)\/((-1)\/(-6))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 76 in -35.7, 2\/13, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8677 + 5?\nAnswer: 867c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 13*o**2 - 34*o - 27. Determine l(-15).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/(1\/12). Is (-7)\/(-21) + (-316)\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-2 + (-1)\/(-1)). Let a be 0\/(p\/2*2). What is the closest to a in -0.4, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -12. Calculate the remainder when (k\/(-2))\/((-2)\/72) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*n + 30, 0 = 4*x + 5*n + 24 - 87. What is the greatest common factor of x and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7920 = 239*p - 3791. Suppose 0 = 3*y - 2*y - 441. What is the greatest common divisor of y and p?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 18, 116, -0.12?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**4 + 8\/3*k**3 - 4\/5*k**5 - 15 + 0*k**2 + 0*k. Factor y(u).\nAnswer: -4*u**2*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/4572 and -59\/1224.\nAnswer: 155448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1735823\/2871180 - -13\/44172. Let j = 1\/90 - a. Determine r so that -j*r**2 + 0 + 2\/13*r**3 + 8\/13*r = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 0*x + 1\/3*x**3 + 8 + 0*x**2. Let r(n) = -n. What is h(r(z))?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1016049*l**2*w + 37*l**2 + 693 wrt w.\nAnswer: -1016049*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-20)*(-1 - 27). What is the highest common factor of 2 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9282\/9464 - (-6)\/312.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -158348 and -158346 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 3*w - 18, -4*w - 139798 = -8*r - 139822 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1947 + -931. List the prime factors of 20\/(-110) - o\/(-22).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 9:09 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -833 by 4.\nAnswer: -833\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 (base 8) in base 4?\nAnswer: 12311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(648\/(-2385)))\/(1\/(44\/55))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2589 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 1. Solve 5*w - 8 = v*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**2 - 39*c. Let k(l) = -18*l**2 + 194*l. Determine -3*k(g) - 14*r(g).\nAnswer: -2*g**2 - 36*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 19 = 63. Let k = -15 - w. Let m be 7 - -5*((-306)\/(-45) + -8). Let i(p) = p**2 + p - 1. Let n(v) = 2*v**2 + 3*v - 2. Calculate k*i(g) + m*n(g).\nAnswer: -2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45 - 40) + 7 + -22 + 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - 56. Let y = -36 - b. Let s = -46.1 + y. What is s rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Suppose 2*j + s*t = 256, 4*j - t - 468 - 59 = 0. Let k = j - 920\/7. Sort 1, 2, k in ascending order.\nAnswer: k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -2411303?\nAnswer: -2411312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/7 or 7.89?\nAnswer: 7.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/10 + (15\/5 - 3) and (-136)\/6 - (-1 - -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5869*g**3 + 6*g**2 - 4*g. Let v(z) = -3*z**3 - 3*z**2 + z. What is -i(s) - 2*v(s)?\nAnswer: -5863*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13963 + 307?\nAnswer: 14270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 6*d**2 - 2*d - 5. Let t be h(-4). Suppose -6 + 22 = 2*y. Let p = t - y. What is the remainder when p is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 32. Let r be -2*k\/6*3. Let i(s) = s**3 - s**2 + 2*s - 3. What is the remainder when 12 is divided by i(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2. Let j(o) be the first derivative of -o**4\/12 - 3*o**2\/2 + 2. Let f(n) be the second derivative of j(n). Determine c(f(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -4, -77, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1015.4 - 1015. Let v = 4\/3 + -10\/9. Which is the nearest to -1\/3? (a) -0.4 (b) v (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-9 + 5 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**3\/g*g*g**(-2\/11)*(g**(-2\/7))**(6\/23) assuming g is positive.\nAnswer: g**(4859\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1952\/(-854) + (-7962)\/(-3465))\/(2\/6)\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(4\/(-3) + 0). Let j = -83 + 84. What is the biggest value in 3, j, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/30*2)\/((-90)\/(-135)). What is the closest to y in -2\/13, -11, -0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -259, -517, -775, -1033?\nAnswer: -1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62043?\nAnswer: 3, 20681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 6:12 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t**(-3\/16)))\/t**(-15))\/(t**(-13)*t**(-2\/23)) assuming t is positive.\nAnswer: t**(10037\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 1)*-6.\nAnswer: -66*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 54*k. Let p be m(2). Let b be (189\/(-315))\/((-1)\/5). Let f(n) = -n**2 - 5*n + 36. Let c be f(b). Calculate the greatest common divisor of p and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1813\/5 - 366. Calculate the common denominator of r and 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 2. Let h be v(0). Suppose -2*o + 0 = -h. Let q(p) = -6 - o + 0*p**2 - 3*p**2 - 4*p**2. Let i(d) = -4*d**2 - 4. Determine 10*i(k) - 6*q(k).\nAnswer: 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22970372 rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 349 (base 16) to base 4.\nAnswer: 31021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8640*p**3 - 11840*p**2.\nAnswer: -51840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18142?\nAnswer: 2, 47, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -3 - (-1222)\/1. Let w be ((-396)\/(-2 + 11))\/2. What is the units digit of (w\/12 - -2) + s\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -48.42 and 14.\nAnswer: -34.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.467 - 876.467. Let j = -875 - v. Let h = -129 + 1159\/9. Which is the fourth smallest value? (a) j (b) 0.3 (c) h (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((4\/(-10))\/2). Let q = -2.366 + 2.65. Let v = -0.384 + q. Which is the closest to -0.2? (a) 1 (b) s (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 5*q + 4. What is the smallest common multiple of v(-4) and 9*6\/9 + (-23)\/(-23)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 336 + 31*d**3 - 980 + 315 + 334. Let s(a) = -30*a**3 - 4. Give -3*b(j) - 4*s(j).\nAnswer: 27*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 5046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00543362 to 5 decimal places.\nAnswer: 0.00543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 55 + 40 - 2*d)*(-3*d + 5*d + 0*d).\nAnswer: -4*d**2 + 216*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 331 + -325. Let v be 127\/(-4) + -3*(-2)\/8. Let l = v - -34. Solve -r = 5*x - l*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120659285.\nAnswer: 5, 17, 29, 31, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 544 + -544.1. Is h greater than or equal to -116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flfsssfff. Give prob of sequence ffl.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 3*r**2 - 2. Calculate the lowest common multiple of v(4) and ((-1)\/(14\/105))\/(15\/(-340) - 0).\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 11*x - 1. Let a be z(-11). Let f = 1.6 - -0.4. Is a at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -603 + 324 = -1856*v + 5289 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31048988 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 8. Let s be x(-3). Let u be (-15)\/s*24\/(-15). Let c(f) = -3*f + 2. What are the prime factors of c(u)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d6382 (base 14) to base 16\nAnswer: -1016be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7)*y)\/y*(y*y\/y**25)\/y*y*y**(3\/8)\/(y\/y**(-16)))**(2\/31) assuming y is positive.\nAnswer: y**(-2235\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (13 - (10 + -1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32247 - 2*y - 7917 - 9890.\nAnswer: -2*y - 50054","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 481184834 - 481184935.9999882. Let y = -102 - g. What is y rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 173 - 229. Calculate the remainder when 32 is divided by 128\/7 - (-16)\/u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25412*j + 28015*j = 91105 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 51\/2 of a gram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7229452?\nAnswer: 2, 23, 179, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 4*i**2 - 5*i**2)*(-i**3 - 528790*i**2 - 73 + 264393*i**2 + 264393*i**2).\nAnswer: i**5 + 4*i**4 + 73*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84972 + 8*f - 3*f**2 + 9*f + 84970.\nAnswer: -3*f**2 + 17*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 840456 to the power of 1\/2, to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4\/m*m**(-9\/8))\/(((m**(-47)\/m)\/m)\/m**(-48)) assuming m is positive.\nAnswer: m**(23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - -26. Suppose 3*w - 13 - 11 = 0. What is the highest common divisor of w and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 15*n - 12. Suppose 0*x - 70 = 5*x. Let l be s(x). Solve -5*c + 0*b = -2*b + 30, 4*c = -l*b - 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m. Let g be i(-2). Let x be 42\/12 + 1\/g. Let o(w) = w**3 + x*w**2 + 2 - 4*w**2 - 4*w**2 - w**2. Give o(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -538 (base 10) to base 8.\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 13*p + 4*l - 2013, l = 2. List the prime factors of p.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 3*c = 7*n, 5*c + 5 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 262\/3 - 800\/9. Let j = -71\/63 - a. Let i = -358.2 - -358. Sort j, i, 1.\nAnswer: i, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 26 = -2*k. Calculate the remainder when 3*206\/(-9)*3\/(-2) is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (44728\/140)\/(14\/35)*7 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2520 and 28.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 times 0.3?\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 71 = 2*x + 30, -g = 4*x - 89. Let r(k) = k**3 + 10*k**2 - 48*k - 263. Calculate the remainder when g is divided by r(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186092212 to the nearest integer?\nAnswer: 13642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35, 1.13, 331.3?\nAnswer: 331.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55283 is divided by 4332?\nAnswer: 3299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00039137044 to 7 decimal places.\nAnswer: 0.0003914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 604 + -592. Let n = -80 + 132. Suppose c*h = 11*h + n. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x**(-2\/3))\/(x**0\/(x*x**(-6)))*(x**(-4)\/x**(-5))\/(x*x*x**(-5)*x**(-1)) assuming x is positive.\nAnswer: x**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 8476 - 8548 = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 577 + -383. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, f: 4, t: 2}. What is prob of sequence tj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.13 (b) -0.2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121.12 + 121.11. Suppose 7*z = 2*z. Is h greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -86007 + 5?\nAnswer: -86002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 + 208 + f**2 - 205 + 0*f + 0*f - 2*f**2 + (-3*f + 6*f - f)*(2 - 2 - 5*f).\nAnswer: -11*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (333\/27 - 11)\/(7 - (-613)\/(-87))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3618.17426 - 3618. What is w rounded to three dps?\nAnswer: 0.174","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 26*b - 26. Let p be r(14). Let g(s) = -9*s**2 + 3*s - 5. What is g(p)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05000028 - 0.05. Round s to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59644100 to the nearest 100000.\nAnswer: 59600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 - 25*j**4 - 15 + j**2 + 26*j**4 to the form u*j**3 + b + k*j + y*j**4 + d*j**2 and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - 0.3. Which is the third smallest value? (a) 1 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285649092 divided by -2.\nAnswer: 142824546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000696 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -61. Suppose -2*n + 6*n - 3*i = 27, -4*n - 3*i + 21 = 0. Let o be 24\/(-63)*9\/n. What is the second biggest value in t, o, 4\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 8*n**2 + 2271*n - 18189. What is r(8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -43. Let p = z - -26. Let j(f) = -f**3 - 9*f**2 + 6*f - 3. Is j(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37135 is divided by 12378.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/161602 and 47\/253134.\nAnswer: 417417966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -742, 3\/8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - a = -1, 0*c + 3*c = 2*a + 11. Let j be 1*c*(-21)\/3. What is the remainder when 12 is divided by (j\/1)\/(1\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1633\/(-115) + 14)\/(28\/868).\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 15. Let g = 4 + -2. Let m = g - -1. Which is the second biggest value? (a) 0 (b) m (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 5*n + 4. Let x be z(-4). Suppose k = -x*k. Solve 4*v - 2*v = 2*f, -f + 5*v - 16 = k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 144.8.\nAnswer: -72.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11901*d - 208 = 11875*d. Calculate the lowest common multiple of d and 1665.\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 3*m + 3. Let u = 4 + -4. Suppose u = -2*j - c + 5, 4*c - 4 + 0 = 0. Determine k(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37746902 to the nearest integer?\nAnswer: 6144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1820 and 896?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4762, 4761, 4774, 4807, 4866, 4957, 5086?\nAnswer: 5259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 - 91. Suppose g - 28 = -g + 2*a, -3*a - w = -g. Let s be (-236)\/(-6) + 6\/9. What is the greatest common divisor of s and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 572973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 14 + 2361*m**2 - 2361*m**2 + 67*m**3 + 7.\nAnswer: 67*m**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/15 and 5\/9318.\nAnswer: 46590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 427 and 56.\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 373649*51.\nAnswer: 19056099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -5\/24 (c) -729\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3681 divided by 9.\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1606 + 0?\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*n = 5*i + 269*n - 36325, 5*n + 29093 = 4*i. Sort 3, i, -2 in increasing order.\nAnswer: -2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 67?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 1:02 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1\/(30\/(-145))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36, 90, 142, 192, 240, 286, 330?\n\"Answer: -l**2 + 57*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, x: 3}. Give prob of picking 4 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 87535 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-3)*(-1197)\/(-627)*(-258)\/301\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1664?\nAnswer: 5\/1664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3 - 14*q**3 + 13 - 19 - 14 - 15*q**2 + 5*q**4 + 40*q = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -164.55\nAnswer: -822.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4 - 2158*t**3 - 2*t**2 + 2158*t = 0. What is t?\nAnswer: -1, 0, 1, 1079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26862 at least as big as 3250190\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 139*q**2. Let r(f) = -10*f. Calculate h(r(c)).\nAnswer: 13900*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3741*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 430369101 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p - 3. Let t(y) = 6*y + 16. Let m(i) = -4*g(i) - t(i). Suppose 2*n = 4*n + 4. Let f(l) = -l + 2. Calculate n*m(w) - 5*f(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -143 + 172 + (-4 - -18) - 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98709?\nAnswer: 3, 13, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 4*g - 3. Suppose -h - 14 - 75 = -2*r, r = 2*h + 52. Let v = r + -44. Determine i(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -137*w - 23408. Let f(v) = 55*v + 11705. Give -5*f(h) - 2*z(h).\nAnswer: -h - 11709","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 - -94. What is the hundreds digit of 292\/d + -8 + 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (9 + -3) - (6 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 738 and 1763?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (20 - (30 - 10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 323*h**2*x**3 - 1189*h**2*x + 3*h*x**3 + 87236*x**3 + 11*x with respect to h.\nAnswer: 646*h*x**3 - 2378*h*x + 3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -18373 and 33067 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247 = 38*k + 57 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 - 4*v**2 + 5*v**2 + (-3 + 5 - 3)*(2 - 2 - v**2) - v - 2*v**2 + v - v**2 + v**2 + 2*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 4 (c) -0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 3:24 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4889 * -0.5.\nAnswer: -2444.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1724758 is divided by 2429.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 3:30 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 3 + 12)*(-14*v - 8*v - 3*v).\nAnswer: -850*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45005 or -44998?\nAnswer: -44998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 24*h - 35. Let u be f(-22). Let x = -158 - -278. Let o = x + u. What are the prime factors of o?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -126, -276, -426, -576, -726?\n\"Answer: -150*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 217e0b (base 16) to base 15\nAnswer: 2d5555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158 - 148. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*r = 35, 11*r = -2*u + 10*r + 88. What is the third derivative of 35*q**3 + 67 - u*q**2 - 67 wrt q?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3056 and 21264794?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.261? (a) -0.03 (b) -2 (c) 0.4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -i + 18, 2*f + 3*i = -33 + 7. Let v be -2 - (9\/3 + f). Let g be -11 - 165\/(-11) - (3 + 1). Solve -v*d + 9*d = g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 28*z**2 - 146*z - 11. What is w(5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/6)*j**(-2\/3)*j**1*j**(-1) assuming j is positive.\nAnswer: j**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 5, -0.58?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*n - 94*n + 50*n = -2*w - 86, -n + 16 = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49.23 - -48.92. What is the smallest value in a, 279, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1. Let c(s) be the second derivative of s**3\/6 + 9*s**2\/2 + 12*s. Give -c(n) + 6*z(n).\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/609 and 121\/55680.\nAnswer: 389760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*f, 257*m - 254*m - 3*f = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 25, 57, 109, 187, 297, 445?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 683.1181 millilitres?\nAnswer: 0.6831181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + 0.7. Let x be 2\/(-10) - 390\/50. Let z be 2\/(-3)*6\/x. Which is the third biggest value? (a) z (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/4*36\/45. Let q(l) = -l + 2*l + 2*l - 11 + i*l. Is 8 a factor of q(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -153, -220, -283?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 2.073.\nAnswer: 2.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*a - 14. Let r be (-1 - a)*33\/9. Suppose 2*d + r = 5*y, 2*d + 1 = d. Solve 5*m + i + 2 = -6, y*i = -m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001481379 to six dps.\nAnswer: 0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.09, 2\/5, -5, 1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 385908, 385935, 385966, 386001?\nAnswer: 386040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13077 - -1123. Let h = -3 + 2. Let l be h\/((-2*1)\/g). What is l rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(1\/8))\/u)**(1\/7))**(-19)*(((u*u**(7\/5))\/u)\/(u**11\/u))**(-18) assuming u is positive.\nAnswer: u**(43439\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -124*o - 122*o + 362*o - 118*o. Let w(d) be the third derivative of -d**4 + 2*d**2. What is v(w(b))?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16077 and 1128449.\nAnswer: 788785851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 3 - (-3 + (1 - -8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.79 + -29.75. Is r smaller than 142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91753*j*m**3 - 4*j*m**2 + 90*j*m + 6*m wrt m.\nAnswer: -550518*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/39*(-15)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 14 = -89. Suppose 2*d = 5*j + d - 16, 13 = k*j + 2*d. Solve j*c = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 10 = 3*m, -7*m + 39*f = 44*f - 22 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 4*j + 3*l - 10, 0 = -j - 5*l + 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 250314 and -400.\nAnswer: -100125600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 11*i**2 + 22*i**2 - 3*i**2 - 6*i**2 - 22*i**3 to t*i + l*i**3 + p*i**2 + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 6)*(-222*i + 89*i + 90*i) + i + 0 + 0.\nAnswer: -42*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 39.44. Let f = r - -0.84. Put -3, -2\/11, f in increasing order.\nAnswer: -3, -2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57003681?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1828124 (base 13) to base 6.\nAnswer: 440420402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.54971 * -4\nAnswer: 2.19884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 29.63?\nAnswer: 266.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c**2 - 2*c + 2. Let o = -17 - -16. Let t(b) = -6*b**2 + 3*b**2 + 3*b**2 + b**2. Calculate o*v(d) + 3*t(d).\nAnswer: -2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2734*v**3 - 9*v**2 - 21*v - 392. Let n(z) = -683*z**3 - 2*z**2 - 5*z - 99. Let m(q) = 2*i(q) - 9*n(q). What is the second derivative of m(s) wrt s?\nAnswer: 4074*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 4:39 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3\/5 + 11450864*f**2 = 0. What is f?\nAnswer: -28627160, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -31?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -4323350?\nAnswer: 4323352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2047522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 2*k**2 + k - 4. Let v = -4 - -1. Let m be h(v). Solve -m*w = -i + 2, -2*w + 3*i - i = 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -85*t + 335. Let r be h(6). What is the tens digit of (-22626)\/(-14) - 150\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -745, -729, -703, -661, -597, -505?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 84. Let u be 25\/2*(-48)\/(-10). Let s = u - d. Calculate the highest common factor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 6*t - 1. Let v(s) = s**2 + 5*s - 1. Let h be 0 + (-2)\/(-2) + -6. Let i(j) = h*m(j) + 6*v(j). What is the derivative of i(q) wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 164\/(-24) + -1 - (-270 + 261).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epfepiepefiesnpesiei. Give prob of picking 1 s, 1 i, and 1 p.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -982 + 9*w - 975 + 1944 + 2*w**2. Let c be (1\/(-3))\/((-2)\/36). Does 14 divide s(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81679\/71736 + 9\/(-8).\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 0.1, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5825 - 5811. Suppose -v - 3*v = -212. What is the remainder when v is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.05, -0.1, -1, -24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 63770 = 5*q + 38211, q = 4*f - 135986. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2347871859.\nAnswer: 3, 86958217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.44 or -600\/611?\nAnswer: -600\/611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*n - 14, -6*o + 23 = 4*n - o. Solve 8 = -n*t - 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 17 = b + 3*p, -2*p + 13 = b. Suppose -a - 15 = -2*g, 5*g - b*a = 2 + 28. Suppose 113 + 7 = 5*k. What is the remainder when k is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkkgkrggrrg. What is prob of sequence rr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6*(-6)\/(7 - 10). Put 0.5, w, -7.3 in decreasing order.\nAnswer: w, 0.5, -7.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -7*k + 0 - 11\/42*k**7 - 1\/3*k**3 + 0*k**6 + 0*k**2 + 0*k**4 + 0*k**5. Find the second derivative of l(w) wrt w.\nAnswer: -220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 0*n**2 - 2*n**2 + 1. Let l = -347 + 348. What is v(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 417716421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11565 and 1035?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1692 - 1.0192. What is the nearest to q in -3\/8, 2, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 155499?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4785, -9834, -15143, -20712?\n\"Answer: -130*w**2 - 4659*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 81, -0.4, 1\/3, 1\/5, -0.13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8710, -724 in ascending order.\nAnswer: -724, 1, 8710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c - 2. Let u be f(-2). Suppose -2*z - 3*z - 12 = -3*q, u*q - 8 = -4*z. Suppose -60 = -q*m - m. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 24*l. Let k(v) be the third derivative of -v**4\/24 + v**3\/6 + 25*v**2 + 15*v. Calculate k(y(i)).\nAnswer: -24*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4940 + 4942. What is the fourth smallest value in l, -5, -2\/9, -11, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11522)\/3850*5 - -12) + 3.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/24516 and -35\/283296.\nAnswer: 2549664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5039306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 13610 and -0.3.\nAnswer: 13609.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (19207\/(-3) - -11)\/(4\/(-30)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23121096.\nAnswer: 2, 3, 963379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4315955363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10\/9 - 307\/72. Let r = 276679\/60522 - 1\/8646. Calculate the common denominator of r and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-53 - -17)) + (-7 - 105)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6762.2 + 6762. Let q be -1 + 13\/3 + -4. Which is the third biggest value? (a) q (b) 3 (c) v (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 2 - (-11 + 4). Let u = a - -7. Differentiate -3 - u*p**3 - 1 - 10 - 2 with respect to p.\nAnswer: -39*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3358860 and 534.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in -10, -46, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19838151 by 22569.\nAnswer: -879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 8:49 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1222012000201 (base 3) to base 7\nAnswer: -11620036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407958?\nAnswer: 2, 31, 22709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*u = -16. Let c be 1535\/2*(u - -6). Round c to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3949 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*p - 220*p - 2 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*u + 20*u**4 + 7*u**4 - 14*u wrt u.\nAnswer: 324*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 2*h - 2*h**2 + (h - 7*h - 6*h)*(2*h - h + h).\nAnswer: -26*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 17, 22?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261 and 109272.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 382*h**3 - 68 + 15*h**4 - 13*h**4 - h + 382*h**3 as u + r*h**3 + y*h**4 + q*h**2 + i*h and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1305501 divided by -435167?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5*d - 30 = 0, 0 = 3*j - 5*j + 3*d + 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3188 and 4270539596.\nAnswer: 3188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/((k*(k*k**(3\/2)*k)\/k)\/k*k))**(-19)\/(((k\/k**(-4))\/k*k)\/k*k*k**(-11\/4)) assuming k is positive.\nAnswer: k**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7\/63*6\/2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 9*b = -9. Solve -16 = -c - b*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, t: 1, l: 2}. Give prob of picking 3 m.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u**(6\/7))*(u\/(u\/u**(-2\/5)))\/u)\/(u**(-1))**(-30) assuming u is positive.\nAnswer: u**(-1164\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70827 (base 15) to base 11.\nAnswer: 22369a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 324953782 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, m: 4}. Give prob of picking 3 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -71843*d + 1221482. What is j(17)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/27 and 14\/4791.\nAnswer: 43119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-2)\/(-8)*8. Suppose 0*a = -3*a + d. Solve 5*h + 3*v - 28 = 2*v, a*v = 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/31, 8.9?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 7)\/(0 - 1). Let i(m) = -2*m**2 + 75*m + 42. Let q be i(38). Let f be (y\/q)\/(10\/300). What is the highest common factor of 18 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(125) - (sqrt(1500)\/sqrt(12) + sqrt(5)).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**5\/3 - 50*y**4 - 280*y**3\/3 = 0.\nAnswer: -28, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -256, -264, -272, -280, -288?\n\"Answer: -8*h - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20480, -40957, -61434, -81911, -102388, -122865?\n\"Answer: -20477*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 241.1*0.2\nAnswer: 48.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16062 rounded to the nearest one hundred?\nAnswer: 16100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 6*n + 878987 = 2*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (2 - 5) + 6 + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -387869, -4 in ascending order.\nAnswer: -387869, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 2*k + k)*(-2 + 6 + 11)*(9*k - 15*k - 22*k) in the form h + z*k + m*k**2 and give m.\nAnswer: -1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -5*l - 15, 12*h = -5*l + 9*h - 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/42 + -3*(-23)\/18. Which is the smallest value? (a) -4\/9 (b) 1\/11 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 - 7\/(14\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 532.\nAnswer: 531.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 2*r + 15. Calculate the common denominator of c(3) and 32\/17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-11) - (-3087)\/6468. What is the smallest value in 0.4, 1.73, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3 - 1054*j**2 - 5*j - 706.\nAnswer: 6*j - 2108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6 - 26\/4. Suppose -6*p + 18 = -3*p. Let m = p - j. What is the remainder when 34 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268668923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 15.5.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-22)\/(-55))\/(3\/1155) is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-188)\/846)\/(6\/(-135)). What is the closest to 0.1 in 70, -10, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 v, and 1 i when four letters picked without replacement from ffffffffffjvifffv?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1189, -6433, -15283, -27739, -43801?\nAnswer: -63469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/6)\/x*x)\/x)\/x**(7\/3))**38 assuming x is positive.\nAnswer: x**(-361\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1088) + 4.\nAnswer: 9 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -874, 4, 2359 in decreasing order.\nAnswer: 2359, 4, 3, -5, -874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2)*(-1494)\/27. Suppose 3*f - j - 364 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkcj when four letters picked without replacement from {v: 6, k: 6, c: 1, j: 6}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n - 25. Let q be x(9). Solve 2*f = -q - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, 2, -3, 42, -309, 0.2 in descending order.\nAnswer: 42, 2, 0.2, -0.14, -3, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 436\/6 + 8\/(-12). Let v be (-2)\/11 + s\/33. Let u(h) = -6 - v*h + 6. Let g(r) = 2*r**2. Calculate g(u(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3385 minus -4?\nAnswer: -3381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 40.63157 milligrams?\nAnswer: 40631.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -0.6 (c) -0.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 320 by -6648.\nAnswer: -40\/831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -857916?\nAnswer: -12010824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 160 + -159.9. Which is the closest to -2\/15? (a) 0 (b) 2\/13 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 2, w: 1, n: 1, a: 2, f: 2}. What is prob of sequence fb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (20 - 35) + 13 + -2 + 2\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3329, -9, -119 in decreasing order.\nAnswer: -9, -119, -3329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*z - 89*z + 60 = 0. Solve 4*l + 31 = 3*x + 3, -z*l = x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-303)\/99 + 3)*37\/((-1961)\/(-318))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 + 5*l. Let c(y) = -y**3 - 12*y**2 - y - 17. Let p be c(-12). Let f(n) = -n. Determine p*f(h) - q(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, h: 1, o: 3, n: 5}. Give prob of picking 2 o.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4\/5 + 1592*z**3\/5 - 212*z**2 = 0. Calculate z.\nAnswer: 0, 2\/3, 530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 2627206?\nAnswer: -2627207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15591965137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 14*g - 72. Calculate f(30).\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -9*n - 9. Let c be j(-4). Suppose -20*r - 1869 = -c*r. What are the prime factors of r?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953542306 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/579 and -83\/994?\nAnswer: 575526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(-45)*c**(2\/9)\/c**7 assuming c is positive.\nAnswer: c**(-61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9700461828300*f**2 + 32367420*f + 27.\nAnswer: 3*(1798190*f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 4*k + 11022*h - 11027*h, -3*k - 38 = -5*h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 820 equal to 819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (-74)\/4)\/((-46)\/(-92)). Which is the biggest value? (a) -4 (b) s (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109.4 - 109. Let h = 0.38 - 0.08. What is the second smallest value in i, -2, h, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2003322 - -11?\nAnswer: -2003311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 2:47 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -1*(-3 + sqrt(80)) + sqrt(80)*-4 + 2)**2.\nAnswer: -160*sqrt(5) + 1305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/90926510 and 71\/2.\nAnswer: 90926510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.245904912 to four dps.\nAnswer: 0.2459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 4) to base 5\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2921837*l**2 + 10*l - 737505397.\nAnswer: -5843674*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50576063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s**2 - s - 3. What is the remainder when o(2) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5259 (base 10) to base 2.\nAnswer: 1010010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 750 = -3*w + 751, 4*b = 5*w - 23 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d + 3*d)*(-1507*d - 489*d - 428*d)*(2*d + 0*d - d).\nAnswer: -2424*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1063158054 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9*g**3 - 7*g**2 + 6*g + 4. Let z be j(-8). What is z rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 633921.4397 to the nearest one thousand.\nAnswer: 634000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/5, 1\/5, -22?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2. Let c be -1 - (-20)\/15*(-6)\/(-2). Suppose -4*l + 50 = k, 3*l - k - c - 31 = 0. Let t(s) = l*s + 0 + 0 - 11*s. Calculate t(z(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -79?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12858.7 - -12859. What is the biggest value in 2, r, -0.5, -4\/5, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90099 and 110121.\nAnswer: 991089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 2)\/(2\/227). Suppose 3*k = 4 + l. Calculate the greatest common factor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/2, -1\/19, -4, 7\/46.\nAnswer: -4, -3\/2, -1\/19, 7\/46, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**3 - 7*w**2 - 3*w - 7. Let v(p) = 3*p**3 + 5*p**2 + 2*p + 5. Give -7*v(u) - 5*x(u).\nAnswer: -u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12402, -12401, -12400, -12399?\nAnswer: -12398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26232143.6 and 0.14.\nAnswer: 26232143.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1500 and 660?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 10*j**2 + 54*j + 32. Let k be d(14). Suppose -4*n + 5*x + 4402 = -446, -k*n + 4880 = 3*x. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 25*k**6\/6 + k**4\/4 - 132*k**2 + 201. What is the second derivative of o(g) wrt g?\nAnswer: 500*g**3 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.47 * -4\nAnswer: -65.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005789 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 64, 2\/3, 732, -0.5?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14449 - 2?\nAnswer: 14447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -304041 (base 5) to base 6\nAnswer: -113452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1188 and 345501.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1027, -4098, -9217, -16384, -25599, -36862, -50173?\n\"Answer: -1024*w**2 + w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 14*m + 1. Let a be t(1). Let p = a + -13. Differentiate j**p + 4*j**2 + 3*j**2 - 15 - 4*j**2 wrt j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-17 + (23 - 37))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 54\/45 + 190\/(-75)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - b - 8. Let i be n(0). Let l be (6\/(-8))\/(27\/i). What is the second smallest value in l, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140 + -131. Suppose -3*k + 44 = u*c - 5*c, 5*k = -4*c + 52. Solve 3*r - c + 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4)\/(2\/((-8)\/12))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + (-1 - 3) - 1 - 0 - -60) + -7?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 181016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(-10)))\/g)\/g*g)**(-15)*g\/g**11*g**(-14) assuming g is positive.\nAnswer: g**(-159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -530 - -557. Solve w = -12*h - 33 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.625283 months?\nAnswer: 0.0063544025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 694 = c + 690, -g + 11 = -6*c for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-36)\/(-30))\/((-2)\/(-115)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -686 + 707. Calculate the remainder when 37 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13259 (base 10) to base 8\nAnswer: 31713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5784067 and 0.03.\nAnswer: -173522.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 8 = 36. Let m = -18 + o. What is the smallest value in m, 4, -3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(4\/(-30)*-5). Let z(u) = -2 - u + 4 + 2. Let p be z(c). Solve -p = 3*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.9, 2, -30.4.\nAnswer: -30.4, -3\/4, 0.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -215, -1339, -4263, -9881, -19087, -32775, -51839, -77173?\n\"Answer: -149*t**3 - 6*t**2 - 63*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = h - 0*h - 2*j, -2*h - j + 14 = 0. Let l = h - 2. Suppose -x - 24 = 5*k, -l*k - 16 - 7 = 2*x. Is x smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 0*o = 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.04775 + -0.04775. What is the fifth smallest value in -2\/9, 1\/4, v, 0, -43?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + 32. What is h(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/28*((-6)\/90)\/((-11)\/(-132))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95*j*w**2 + 10*j*w + 9*j wrt w?\nAnswer: -190*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3 - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*n + 25, 0 = -5*t + 47*n - 48*n. Sort 8, t, -6\/31 in decreasing order.\nAnswer: 8, t, -6\/31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*((sqrt(12)\/(-1*sqrt(6)) + sqrt(2) - sqrt(72)\/sqrt(4)) + ((sqrt(160)\/sqrt(5))**2 + sqrt(2))*-3).\nAnswer: 90*sqrt(2) + 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119521?\nAnswer: 47, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -3*z**2 + 8*z + 1312. Let v(m) = -3*m + 4. Determine 11*v(d) - 6*x(d).\nAnswer: 3*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5185575 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 2655.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111 + -1110101?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 - (-57 + (11 - -72))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*i = -20. Suppose -3*s = 5*v - 12, 3*v - 4*v - 16 = -i*s. Solve j = -s*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1696799?\nAnswer: 13, 130523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.1*-16.\nAnswer: -65.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 162817, 325614, 488405, 651190?\n\"Answer: -3*f**2 + 162806*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -7. Let f = 15 + -19. Suppose -9*w - 13 = 5. What is the nearest to f in 5, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 - 25*q**2 + 5*q + 25 = 0. What is q?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 g when two letters picked without replacement from gmv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1477*d - 5660. Let b be r(8). Calculate the greatest common factor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 8:58 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 395770 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*u - 27*u - 26*u to f + y*u and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1057 by -6.\nAnswer: -1057\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1580, -6145, -13754, -24407, -38104, -54845, -74630?\nAnswer: -97459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**4 + 410*v**3 - 415*v**2 = 0. Calculate v.\nAnswer: -83, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 233010 divided by 77670\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 k when four letters picked without replacement from krkrkrr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251430 is divided by 7648?\nAnswer: 6694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 - 2483*b.\nAnswer: b*(b - 4966)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 4*f**2 + f - 1. Let n be (3 - (-28)\/(-8))*-8. Calculate g(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*r**2 + 295*r - 1 + r**4 - 295*r to the form v*r + x*r**3 + s*r**4 + m*r**2 + d and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - 30*b + 17. Let u be o(-15). Solve -t + 3*s - 11 = 0, 4*s + u = -4*t - t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - u**2 + 2*u - 1. Let s(a) = 5*a**2 - 10*a + 8. Give -15*d(j) - 3*s(j).\nAnswer: -15*j**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70*r + 281*r + 457*r)*(-3 + 3 + 3) to the form i*r + g and give i.\nAnswer: 2424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*i + 4, 7*z - 11 = 6*z - 4*i. Let u be ((-3)\/2)\/((-126)\/(-48) - z). Solve -u*n + 4 = -4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 4, r: 3, w: 1, d: 10}. Give prob of picking 1 r and 1 d.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -186099 and -0.2.\nAnswer: -186099.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19 - 47f1a1?\nAnswer: -47f188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, -1, -71, 4, -5 in descending order.\nAnswer: 6, 4, 2, -1, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3795*x - 885. Let q(u) = -271*u + 63. Let p(a) = -85*q(a) - 6*y(a). Let w(f) be the first derivative of 6*f**2 - 2*f + 42. What is 2*p(r) - 45*w(r)?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 4. Let u be -2 + 81\/12 - 75\/100. Let l(f) = 2*f + 4. Determine u*l(t) - 3*a(t).\nAnswer: 5*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 83 = -18. Let d(t) = -t - 9. Let r be d(p). Solve u - 3*u + 3*k + 4 = 0, -r*u + 4 = -5*k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 582.\nAnswer: 11.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/(-8))\/((-1)\/(1 - -3)). Suppose -16*v - r = -26*v. Solve -9 = -2*q - v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882901 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3*58\/(-36))\/((-109)\/(-654))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + 1. Let k = -20 - -18. Let v(q) = 7*q + 3. Let b(f) = k*v(f) + 5*l(f). Let y(u) = -12*u + 11. Suppose -5*i - 7 = 3. What is i*y(h) - 22*b(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 12. What is h(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 1. Let v(p) = -p**3 + 6*p**2 - p + 3. Calculate the remainder when v(5) is divided by (-10)\/35 - (-93)\/s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1569050 to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnppdddpwxc. Give prob of sequence dcwd.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -16, 6 in ascending order.\nAnswer: -16, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 + (-1)\/((-10)\/2746). Let w = -265 + s. What is the remainder when 35 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 331782660 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-28) + (71 - 100538\/1428)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + (1 - -2) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.12 + 16. Let x = i - -0.12. What is the closest to -2 in 5, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1455 and 1358.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l - 285. Suppose 8*h = 5*h + l. Calculate the remainder when 72 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.6667 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1814.47978 + -1814.5. What is o rounded to four decimal places?\nAnswer: -0.0202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 456 and 114?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/1*1\/((-4)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 5*x**2 + 8*x - 17. Let u be q(6). Let v(g) = -5*g**3 - 2*g - 2. Let y(k) = 11*k**3 + 5*k + 5. Calculate u*v(m) - 2*y(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -557.058 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 774 and 6579?\nAnswer: 13158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -222357.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/(-4) - 1\/4. Suppose -n - 89 = -w*c, c - 5*n = 44 - 17. Let v be (10 - c)*(-2)\/4. Solve 5*d + 1 = v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-75)\/99 - 4\/(-6). Let h(g) = -g**2 - 4*g + 5. Let f be h(-4). Suppose 3*z = f*z. Is z > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**13)**(-1\/69))**(-14\/3) assuming x is positive.\nAnswer: x**(182\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174602721\/686 + -254523. What is the common denominator of w and -45\/56?\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/((-3)\/(-30)). Suppose 51 = o*j + 1. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 - 2 + 2)*(-t - 5*t + 3*t) - t**5 - 2*t + t**2 - t**5 + t - 50*t**5 + 44*t**5 + 41*t**5.\nAnswer: 36*t**5 + t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 - 97. What is the remainder when r is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/14 and 83\/123894.\nAnswer: 867258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.8, -4, -0.5, 2 in decreasing order.\nAnswer: 5.8, 2, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145.3 - -145. What is the smallest value in -1\/7, n, 77?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2061.0936 milliseconds?\nAnswer: 0.00002385525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*1*-6*1. Let w = x + -4. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11*z**5 + 8*z**2 - 30*z - 7. Let r(i) = 7*i**5 - 5*i**2 + 20*i + 5. Let m(o) = 7*r(o) + 5*t(o). Find the third derivative of m(s) wrt s.\nAnswer: -360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-1 + 0))\/(48\/72). Suppose 10 = 5*u + 2*f - 11, i*f - 12 = -u. Suppose 0 = -6*o + o + 105. What is the greatest common factor of o and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -29, -1.\nAnswer: -29, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (29 - 2) + (161 - 198)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**3 + 93*q**2 - 360*q + 328. Let y(f) = 5*f**3 - 95*f**2 + 360*f - 330. Let n(j) = 5*p(j) + 6*y(j). Factor n(c).\nAnswer: 5*(c - 17)*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - -1.5. Let b(r) = -r**2 - 5*r + 2747. Let i be b(50). Let y = -14 - -13.86. What is the biggest value in y, m, i, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 56*d**2 - 115*d - 52. Calculate b(58).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.425912759 and -0.8.\nAnswer: -3.225912759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*c + 3 = 12, 11 = g - 5*c. Let w(t) = t**2 - 7*t + 8. Calculate w(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((60\/(-18))\/(-10))\/(3\/(-63)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 420 and 105.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -9548284 not equal to -9548285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -196*k**6\/3 - 1148*k**5\/5 + 41*k**4 + 224*k**3\/3 - 24*k**2 + 402. Find o such that h(o) = 0.\nAnswer: -3, -1\/2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*r = -32, -329*r = -5*p - 331*r + 8. Solve 2*x + 71*m = 70*m - 3, 27 = -5*x + p*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60312.\nAnswer: 2, 3, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + q - 12. Let a(l) = q + 0 - l - 2 + 0. Let z be 1\/(((-1)\/5)\/(-1)). Give a(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 14*z - 2. Let l be j(6). Suppose 4 + l = 7*p. Suppose 2*f + f + 17 = v, p*f = 0. Solve -3*d + 5*t + 11 = 0, -2*t + 0*t = 3*d + v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3690000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**3\/6 - u - 1. Let g(k) = -102*k**2 + 2. Calculate g(w(d)).\nAnswer: -102*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5355103 - 2?\nAnswer: 5355101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1697749 days in weeks?\nAnswer: 0.1671107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3255 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6864, 6865, 6866, 6867, 6868, 6869?\nAnswer: 6870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 2:31 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/28 and -141\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 4*u**2 - u + 6. Let x be a(-3). Let j(v) = -2 + 30*v**3 - 31*v**3 - v + 1 - v**2 + x*v**2 + 14. What is j(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + l = 10, -5*z + 4*l = -2*z - 11. Let y be ((-742)\/(-6))\/((-5)\/z). Let v = y - 74. Which is bigger: v or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-6))\/(-2)*(-154)\/(-56)*-6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025486017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-36)\/(-21))\/6 - (-186)\/(-14). Let j(u) = u**2 + 25*u + 13. Let o(v) = -2*v**2 - 51*v - 25. Let w(s) = a*j(s) - 6*o(s). Is 19 a factor of w(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -17254*n - 22. Let x(p) = 4315*p + 6. What is 11*x(k) + 3*y(k)?\nAnswer: -4297*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 - -112. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-984)\/(-30) - (-4)\/(-5). Calculate the greatest common divisor of w and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-2)\/((-8)\/(-54)). Let y(r) = r**2 + 3*r + 7. Let s be y(-5). Let w = m - s. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + d + 5*y - 10, y = -5*d + 18. Suppose -d*l + 16 = 4*i, 3*i + 2*i = 4*l + 29. Let c be 2*l*(-2)\/4. Sort -0.4, c, -1 in descending order.\nAnswer: c, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-1 + 1) - 3) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Suppose -5 = j + 5*n + 2, 3*n + 15 = b. Let x be (-4)\/22 + j\/99. Solve x = -c + 2*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.094 times 0.32?\nAnswer: -0.03008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-437 + 349 + 1087)*(-2*k + 0*k + k) in the form g + o*k and give o.\nAnswer: -999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 15*i + 16. Let h(x) = 8*x + 8. Let r(w) = -6*f(w) + 10*h(w). Let n be r(-2). Let o be 6\/5*40\/12. Solve n*c + o - 24 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*i + 4*z, -5*i + 15 = -10*z + 15*z. Suppose -3*b = 2*b - i*a - 50, -5*b - 2*a = -50. Let o(p) = -p**3 + 11*p**2 - 12*p + 14. What is o(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 13 + 43 = 0. Suppose d*l + 70 = -0*l. Let n(j) be the second derivative of -j**4\/12 - 2*j**3\/3 + 5*j**2\/2 + j. What is n(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 3*z = -2 + 25, 5*q = 3*z - 32 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/13 (b) 62\/3 (c) 1 (d) -7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 bigger than -457553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110000101011001100111 (base 2) to base 16.\nAnswer: -385667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -5\/6 (b) -91\/4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkcsckkkskkkkrk. What is prob of picking 1 s and 1 k?\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 428\/43?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (0 - 5) + -3 - -6) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q**2 + 11*q + 5. Let d(y) = 15*y**2 + 23*y + 10. Let c(g) = 13*a(g) - 6*d(g). Let v be c(-5). Solve 17 = 4*r + v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from eccxeeqrxcqc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -o - s, 8*o + 2*o - 6*o = 6*o + 9*s + 43 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i = 24. What is the greatest common divisor of 8 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -16*o - 23. Let u(f) = 245*f + 10. Let y be u(o). What is the tens digit of 7\/28 - y\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 3\/2 (c) -226 (d) -3\/8 (e) -3\/119 (f) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2) + (-16 + -11 - 5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 532 and 50455412?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*2*8\/32.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4099526, -4099518, -4099498, -4099460, -4099398, -4099306?\nAnswer: -4099178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/18 + (-13)\/(-6). Suppose -2*j + 532 = -c, -j - t*j - 2*c = -791. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -22009 and -22005 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1 + u + 3 - 5 - 2*u - u**3. Let p(d) = 5*d**3 + d**2 + 6*d + 8. Let x = -5 - -4. Let f be (1 - (-2 - -3)) + x. Give f*p(l) - 6*k(l).\nAnswer: l**3 - l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8*q**2 - 5. Let a(n) = 4*n**2 - 2. Suppose 0*b = 3*l - 2*b - 25, -4*l - 4*b = 0. Determine l*a(i) - 2*k(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5366 - 1.\nAnswer: -5367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n + 3 = -z, -3*z + 8 = 5*n. Let r(a) = 707*a + 3. What is the hundreds digit of r(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p - 75 - 537. Let v = p + -79. Let a = v + 1989\/11. What is the second smallest value in 1.2, a, 4\/3, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5666 - 5664. What is the fourth smallest value in -3, z, 54, 0.3?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 1\/5, -3.2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000111011100 (base 2) in base 9?\nAnswer: -25113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4\/7 + 8462*t**3\/7 + 512336*t**2\/7 - 1050062*t\/7 + 75609 = 0.\nAnswer: -8401, -63, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22aa8 (base 16) in base 6?\nAnswer: 3013212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3571788 by -4.\nAnswer: -892947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336025 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 3. Suppose 6 = -2*p - 0. Let b be y(p). Let x = b + 17. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqq. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2238 and 1146.\nAnswer: 427458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Let g = 1.9 - 0.9. Let y = l - g. Put 0.3, -2, y in descending order.\nAnswer: y, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 546.33 - 546.3275981. What is k rounded to five decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 395\/255*102\/680 and -9\/170.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5775 - 5781. Let i(h) = -5*h**3 - 19*h**2 - 6*h. Let v(n) = -14*n**3 - 58*n**2 - 17*n. Determine z*v(p) + 17*i(p).\nAnswer: -p**3 + 25*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 2. Calculate the remainder when 65 is divided by u(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3032 (base 4) to base 14.\nAnswer: 10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2664\/7 + 381. Which is the nearest to 0.6? (a) z (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 7*w + 12. Suppose -19 = 5*k + 3*f, -f - 3 = -2*k + 3*k. Let d be y(k). Suppose 0*o + 6 = 2*o. Solve -o = m + d*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*l + 46, 0 = l - 2*l + 3. Suppose o - m = 20. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c**3 - c**2 - 6*c - 6. Let r(v) = 20*v**3 + 4*v**2 + 17*v + 17. Determine 17*f(j) + 6*r(j).\nAnswer: j**3 + 7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1461.\nAnswer: 2\/1461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 308 + 99. Let s = p - 407.000173. Round s to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 12 = 59*b - 64*b, 3*w = 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53771445 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.844787 months to decades.\nAnswer: 0.065373225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-28)*(-2)\/3. Which is the nearest to -0.2? (a) 1\/18 (b) i (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**2 - 1882*y + 386247. Give k(-625).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 1\/3*q**4 + 129*q**2 + 98*q - 7\/3*q**3 + 0. Differentiate g(m) with respect to m.\nAnswer: 8*m - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000101822585 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.092 + -0.178. Let x = -158.914 + l. Let u = x + 158.99999931. Round u to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522191?\nAnswer: 522191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7765 - -12954. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 2\/39, 0.5, -2\/121?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/1066 and -89\/57564?\nAnswer: 57564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 253*t**4\/12 + 2*t**3\/3 + 2*t**2 - 13*t. Suppose 4*l + 4 = -0*l. Is i(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2034)\/24 + -1)\/(1\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:44 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3543*i - 3*m + 28 = 3547*i, 2*i + 4*m - 24 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5\/8, -1, 6169, -3?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 385284597 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - f - 52, 3*y + 3*f + f = -46. Which is smaller: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - sqrt(72)\/sqrt(24))\/(sqrt(1728)\/sqrt(12)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (57170 - 57170 + 118*f)*(2 - 4 + 4) as a + h*f and give h.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + 2*y**3 - y**3 + (-2 + 2 + 2)*(-y**3 + 0*y**3 + 3*y**3) + y**2 - y**3 - y**2 - 6*y**2 + 4*y**3 + 0*y**3 + 8*y**2.\nAnswer: 8*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 7:02 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - u = -74, 268 = 4*l - 3*u - 0*u. Let f = l + -46. What is the least common multiple of 27 and f?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.36 - 1.36. Which is the third biggest value? (a) 2.7 (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 4*v - v)*(v - 3*v + 4*v) - 4*v**2 - 3 + 3*v**2 - 3*v + 1.\nAnswer: -3*v**2 - 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 9. Suppose -x*i - 15 = -11*i. Calculate the highest common factor of 240 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076455306 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 9 = -5*p - 12, -4*t + 5*p = -27. Suppose 4*f - 10 = z, f + 5*z = t*z - 2. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 6. Let g be -2*t*1\/2. Which is the closest to -1? (a) g (b) -1\/10 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-28\/9)*k*k**(-9\/8)*k)\/(k\/(k\/(k*(k\/k**(-26)*k)\/k))*k**(-8\/9)) assuming k is positive.\nAnswer: k**(-2041\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) - 80\/(-15). Suppose 3*i = -5*x + 7, -11 = -3*x + p*i - 0*i. Suppose 0 = -f - x*d - 1, 2 = -5*f + 6*f - d. Let m(u) = -5*u. Determine m(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1196.8 and -0.1.\nAnswer: 1196.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxvo when four letters picked without replacement from {r: 1, v: 6, x: 1, z: 2, o: 2}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1730176?\nAnswer: 3\/1730176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*y + 160 = -87*y. Round y to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -35, -51, -61?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 68 = 4*g, 4*g + 411 + 464 - 148 = 57*o + 51 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -2*n - 5*z, -27*n + 31*n = -4*z + 176. What is the greatest common factor of n and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 - 12 + 32*t + 11 - 28*t**2.\nAnswer: -4*(t - 1)*(7*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 39 - 268*x**2 + 37.\nAnswer: -268*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 300*j - 1203. Calculate l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072 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: Let p(b) = 257*b + 9. Let n(f) = -127*f - 4. Calculate -13*n(v) - 6*p(v).\nAnswer: 109*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.64 - -1359095.9774?\nAnswer: 1359077.3374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r + 207 - 11680. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2, 4, -40, 3, -13, 0 in descending order.\nAnswer: 4, 3, 2, 0, -13, -20, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.488842815 to 2 dps.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 10*x**2 + 10*x - 2. Determine i(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*l - 36*l = -4*i + 44, -6 = -i - l. Let q(j) = -j**3 - 5*j**2 + 3*j - 4. Let f be q(-6). Solve 5*t + 2 - 23 = 3*n, -4*n = -i*t + f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + 1 - sqrt(700)*-3 - (1*sqrt(7)*2 - (sqrt(49)\/sqrt(112) - sqrt(7)))) + 1)**2.\nAnswer: 137*sqrt(7) + 131447\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3259844 divided by -1?\nAnswer: 3259844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 4. Let a(v) = v - 4. Let b be a(w). Calculate the highest common factor of b and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005256 rounded to five dps?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1.7836 (b) -0.06 (c) 1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 9, y: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -23*p**2 - 169*p - 23. Calculate n(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22609 and 18837.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 + (-5 - 5) + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2658 divided by 1.\nAnswer: -2658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9826769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -816072 - 0?\nAnswer: -816072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -b + 2, 0*r - 5 = -r. Sort b, -2\/5, -1 in ascending order.\nAnswer: b, -1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*j + j. Let p(u) = 3*u + 2*u - 2*u + 4*u + j + u**2. Determine p(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10d + -f4446?\nAnswer: -f4553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -425*v**2 + 24*v + 3191. Let d(y) = 3*y**2. Determine z(d(q)).\nAnswer: -3825*q**4 + 72*q**2 + 3191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-243)\/20)\/3*9915\/(-5949)*4?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526325797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*w + 41*w - 24. Let v be (-6 - -2)\/((-2)\/6). Let s = v - w. Solve -z - 2*c - c + 3 = s, -5*c = -10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/15)\/((-2)\/(-15)). Let x = p - -1. Solve 0 = -5*v - 3*n + 10, 5*v - 34 = 3*n + x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 4*p + 4. Let u be y(-4). Suppose -l = 2*h + 13, -u*l - 3*h = -0*h + 27. Let w(x) = -5*x - 4. Give w(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1424*l**2 - 214*l**4 + 1424*l**2)*(-7*l - 32*l + 2 + 66*l)*(2 - 1 + 1)*(2 + 0 - 4).\nAnswer: 23112*l**5 + 1712*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 8 = 2*n + 3*v, -5*n + 2*v - 20 = 0. What is the nearest to 2 in -345, -1\/2, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12961 + -12910. Let m = 0.3 - 0.8. Put 0.1, 1, m, s in descending order.\nAnswer: s, 1, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 48. What is b(-10)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -35*c + 448. Let m(t) = 2*t - 24. Let o(q) = -3*i(q) - 56*m(q). Let d(l) = -4*l - 77. What is o(d(j))?\nAnswer: 28*j + 539","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 4.\nAnswer: -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*u = -1 - 1, -u - 53 = 30*q + 6*u - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 at most as big as 2748\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65 - -16793044?\nAnswer: 16793043.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 7 - 2 = 3*c, 17 = 4*d + 3*c. Let f(a) = a**2 + 0*a**d + 6*a - 4 - 12*a + 14. Let t be f(5). Solve 24 = -t*z - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1302 - -2042. Is 62 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l - 6. Let r be y(10). Let o = 51 - r. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/8)\/((-1)\/8*-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0518824386 to five dps.\nAnswer: -0.05188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-1\/12))\/(i*i**(-2\/13)*i))**17)**(2\/71) assuming i is positive.\nAnswer: i**(187\/5538)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*l = 2160, 2*l + 864 = -h + 3*h. Let c = h - 376. Calculate the remainder when c is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 24*b**2 + 19*b + 12. Suppose 5*v = 86 + 4. Let n be u(v). What is n rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l + 4. Let v be c(2). Let s = 10 - v. Solve 5*w + 5*b - 30 = 0, s = -w + 3*b + 1 - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 195059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -4 + (18 - 10) - 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 67146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(2\/35)*r**(3\/5) assuming r is positive.\nAnswer: r**(58\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12113112 - 0?\nAnswer: 12113112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1287570 (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418*k + 271*k + 2 + 148*k + 10.\nAnswer: k + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1*sqrt(171))**2)*-3.\nAnswer: -519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*h**3\/7 - 102*h**2\/7 + 57*h\/7 + 18\/7.\nAnswer: 3*(h - 3)*(h - 1)*(9*h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -10410 (c) 6\/347\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuupp. What is prob of sequence pu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 33*d**3 - 57*d**3 + 26*d**3 + 5*d**4 as m*d + q*d**2 + w*d**4 + z*d**3 + s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30a2 + -21?\nAnswer: 3081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 7:07 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -2 + 1\/4*j**4 - 5*j + 2*j**3 + j**2. Let t be y(-4). Solve 4*u + 2*b + 24 = 2, 2*u - 5*b = t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 6480*f**2 + 45310*f + 8. Calculate h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s**0)\/s*s)**(1\/35)\/(s*s**(3\/2)\/s*s*s**(-2\/63)\/s) assuming s is positive.\nAnswer: s**(-127\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 36 and 732?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 202857\/7 + -28980. Let p = 4 - 7. Which is the nearest to 2? (a) p (b) -0.2 (c) 4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, 271, 0, -12, 1 in increasing order.\nAnswer: -97, -12, 0, 1, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 46*t**4 - 3*t - 7 - 280*t**2 + 277*t**2 + t - t**3 - 5 in the form o + z*t + u*t**3 + n*t**2 + q*t**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2187)*6 + (sqrt(432) - (sqrt(432) - sqrt(432)*-1))*5.\nAnswer: 102*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26664499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/21 in 9, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 133.5647 millilitres?\nAnswer: 0.1335647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 0, 4, -5 in ascending order.\nAnswer: -5, 0, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 81 (b) 5 (c) -0.3 (d) 16 (e) -110 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 896067 (base 12) in base 10?\nAnswer: 2187727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwmzwwvznzz. What is prob of sequence vnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13399 - 3638. Let d = k - 9765.009. Let b = d - -0.009. Put b, -0.1, -1\/4 in increasing order.\nAnswer: b, -1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 231 and 168.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13512 (base 6) in base 5?\nAnswer: -32012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 3\/9) + 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40440\/11 greater than -236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1545 - -51143?\nAnswer: 46265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34156 equal to 34154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 4 + 24. Suppose 25 = -z*o + 9*o. Let m(v) = 7*v. Let x(w) = 4*w. What is o*x(a) - 3*m(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7\/6 (b) -2\/11 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1 + sqrt(39)\/sqrt(3)*4 + sqrt(52)*1 + sqrt(13))**2 + 3)*-6.\nAnswer: -3894 + 252*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 2 + 0 + 5*p + 0. Let r be f(6). Let i = r - -30. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(3\/7))\/(g*g**(-1\/7)))**(-2\/17))**31 assuming g is positive.\nAnswer: g**(-248\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from grjgngngngnx?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 607193\/188 - 21\/12 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 1. Suppose 23 = -3*v + 2. Let n be q(v). Solve 0*p - 5*d + n = 3*p, 4*d - 4 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -338.4 + 269.64. Let m = -61.5 - a. Round m to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*h - 7*z - 106, 0 = h + 4*z - 7. Calculate the greatest common divisor of h and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (-1145)\/(-10))\/((-4)\/8). Let t = i + 229. Solve 0 = -t*f - 0 + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7605*x**2 + 15442*x**2 - 7 - 7631*x**2 to f*x + g + l*x**2 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/((-13)\/65)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**7\/105 + p**4\/24 + 47*p**3\/6 - p**2 + 8*p. Differentiate g(t) wrt t.\nAnswer: 8*t**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7572.9 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 6 - 10*t - 5*t + 19*t - 3*t to q*t + o and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7. Let o be (-13)\/(-3) + r\/6. Let n = -53759 - -53763. Solve n*f = -5*d + 11 + 1, -26 = -4*d + o*f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 33*h + 31*h**2 + 5*h**2 - 38*h**2)*(-h + h + 2*h)*(0 + 0 + h).\nAnswer: -4*h**4 + 66*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 3*q + 16. Let o(a) = -a + 4. Let p be o(q). Solve 12 = -p*s + 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -118*j + 109. Calculate c(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbpprppbrrpmb. What is prob of picking 1 p and 1 r?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(11\/2))**(1\/22) assuming w is positive.\nAnswer: w**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - 1 - (-932 + 923)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 + 135 = -33*i + 8*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 c when three letters picked without replacement from aaccaaccadad.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36438479 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47047728 by 4.\nAnswer: 11761932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 108\/(-56) - (-6)\/14. Let k = 0 + -1\/3. Let d = -6 + 5.9. Which is the biggest value? (a) d (b) n (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t - 34*t + 17*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-87 - -30) + 163 + -33 - (6 - 0)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 t when three letters picked without replacement from {t: 1, u: 2, k: 2, v: 1, a: 1, j: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01633 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g - 22. Let z(b) = -7*b + 22. Give 5*p(w) + 4*z(w).\nAnswer: 2*w - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 36 = -0*f + 2*n, 0 = 3*f + 267*n - 263*n - 67 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n - 26 - 574 = 0. Solve 5*z + 22 = g, n*g = -5*z + 18*g - 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1019998)\/6 - (-2)\/(-6). What is m rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/2 - 54893*k**2 - 58839591*k\/2 - 3932301240.\nAnswer: (k - 110320)*(k + 267)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709*k**3 + 3171 + 1112*k**3 - 3165 + 227*k**3.\nAnswer: 2048*k**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -3. Suppose 0 = 5*u - 9 + 4, 2*o + 3*u - 49 = 0. Suppose -4*j + o = 3. Solve -3*y = -d*g + j, 5*y - g + 4*g = -40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/1209 and 17\/2036638.\nAnswer: 79428882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(((d\/(((d\/d**(-1\/2))\/d)\/d))\/d)\/d)\/d)\/(d\/(d**6*d))*d**(3\/5)\/(d\/d**(-4\/7)*d)*(d**(-1)\/d)**(-4\/7)\/(d\/(d\/(d\/d**(1\/3)))*d*d**3\/d) assuming d is positive.\nAnswer: d**(211\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 56.76454.\nAnswer: -44.76454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*a + 12. Suppose -a*x + x - 3*r + 73 = 0, 4*x - 137 = -3*r. Let h = -12 + x. Calculate the least common multiple of 3 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from smmim.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 39625 = -53984. Let h be g\/12 - 2\/8. What is h rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**3\/6 - n**2\/2 - n. Let u be f(-6). Solve 0 = 5*b + u*i + 30, -5*i - 6 = -2*b + 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*f**3 - f - 129*f**3 + 259*f**3 - 3 + 2*f**2 - 2*f**2 to the form d*f + p + n*f**3 + r*f**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 675713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3417143.\nAnswer: 3417143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(112) + sqrt(112)*1*6 + -4*(0 + sqrt(112)))**2.\nAnswer: 5040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 36 = -3*y, -2*y - 5*h - 345 = -294 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -912.078068 to the nearest 10.\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888)*-1)**2 + 3.\nAnswer: 3891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 10:53 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8335*f + 756 = -8371*f for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5653618, -5653621, -5653624, -5653627, -5653630, -5653633?\n\"Answer: -3*g - 5653615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 10:10 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3952900572 to the power of 1\/3, to the nearest integer?\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -14*j + 5. Give b(-4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + 2 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37302094 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*y + 30. Solve -a + 17 = y*l - 0*l, 22 = 5*a - l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1368842 is divided by 42.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 10 + -8 + 4 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-65)\/20 + 1 - -2. Which is bigger: 261 or n?\nAnswer: 261","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1050, -1564, -2078?\n\"Answer: -514*o - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387 divided by -25.\nAnswer: -387\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 723 - 891. Which is smaller: l or -166?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6823 + -3?\nAnswer: -6826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*t - 227. Let q = t + 102. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 697230 and 23241.\nAnswer: 697230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by -205146\nAnswer: 20\/102573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 i when three letters picked without replacement from nnidwiwwiiw.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/11100257?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y - 18 = 21*y. Suppose -y*q + 1200 = q. Calculate the highest common divisor of q and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5599 less than 0?\nAnswer: 5599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1671 = 3*n - 5*y - 1605, 5*n + 141 = -2*y for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 287 and 50442464?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-52)\/(-16))\/13)\/(3\/24). Suppose f - 2*w = 2, -14*f + 11*f - j*w = 34. Which is smaller: f or 0.05?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(sqrt(32)\/sqrt(4)))\/sqrt(4).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from gogiinnovnnicoiicogi.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o*w**4 + 2*o*w**2 + 899*o*w + 57*o - 86*w**4 - 3*w**3 wrt w.\nAnswer: -24*o*w - 2064*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5.126 (b) 3\/10 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 - 80. Solve -o + c*o = 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1013 divided by 8000.\nAnswer: -1013\/8000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/5 - 132*d**3 + 35634*d**2\/5 + 14652*d + 36963\/5.\nAnswer: 3*(d - 111)**2*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrbxx. What is prob of picking 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*t - 37*t = 462. What is the remainder when ((-3)\/2)\/(6\/(-12)) is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 23*b**2 + 46*b - 38. Let d be y(21). Suppose -d*s + 8 = -42*s. Solve -2*c = -3*z - 0*z - s, 0 = -5*c - 4*z + 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 12. Let k be h(10). Let n(t) = 2*t**3 - t**2 - 3*t + 2. Suppose -19 = -z + 3. Calculate the remainder when z is divided by n(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 10. Find the third derivative of -2*m**2 - m**3 + f*m**2 + 0*m**3 - m**3 wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u + 5. Let l = 12 + -4. Suppose -2*n - 14 = l. Let v(d) = 14*d - 14. Calculate n*h(q) - 4*v(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23869455.\nAnswer: 3, 5, 79, 20143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1420322 - 3323?\nAnswer: -1424200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 + 135097*v - 35642376.\nAnswer: -(v - 405027)*(v - 264)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1 = -i + 4*v, 8 = 5*i - 2*v. Let x(c) = 7 + 2*c + i*c**2 - 1 - c**2. What is the remainder when x(-7) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4788 divided by -114?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -1\/12*z**3 + 1\/24*z**4 - 1\/2*z**2 + 0 - 5*z. Suppose y(a) = 0. What is a?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.9707719 rounded to two decimal places?\nAnswer: 11.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116\/1044 - (-467)\/9 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 16 - 0 - (2 + -28 + (38 - 22))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 - 10541795*n**2\/4 + 6945588796152*n + 6945591431601.\nAnswer: (n - 5270898)**2*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28237374.\nAnswer: 2, 3, 11, 17, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1547*x**2. Let r(c) = 2*c. What is m(r(q))?\nAnswer: 6188*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 800 and 225384.\nAnswer: 22538400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, s: 1, f: 4, m: 6}. Give prob of sequence zzsf.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -155*a**2 + 3*a - 68. Let f(h) = 81*h. Calculate w(f(s)).\nAnswer: -1016955*s**2 + 243*s - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -850*t + 8751. Determine y(10).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -392, -0.4, 3, 160.47?\nAnswer: -392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -1.48.\nAnswer: -0.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003703 to four decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -3. Let s(k) = -5*k**3 - 1. Give s(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -355222, -1420894, -3197018, -5683594?\n\"Answer: -355226*l**2 + 6*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*h = -1338 - 212. Let x(u) = 2*u + 8. Let k be x(-7). Let b = k - -10. What is the remainder when h is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2279.6968 to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/(-11) - 59\/(7139\/22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 80 = 5*d, -32*r + 34*r + 2*d = 32 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 0*s - 2\/3*s**3 + 3 + 1\/12*s**4 + 0*s**2 + 1\/60*s**5. Let j(q) be the third derivative of x(q). What is j(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*j + 3*q + 38 = 322*j, -4*j = -4*q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -165*c**4 - c**5 - 25922*c**2 + 137*c**4 - 54*c**4 - 50413*c - 25975*c - 2343*c**3 - 52728.\nAnswer: -(c + 1)*(c + 3)*(c + 26)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 714 and 60480084?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 + -178. Let c = z + 85. Let d(i) = c*i + 5*i - 6*i. Let w(a) = 65*a**2. Calculate d(w(x)).\nAnswer: -65*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(-2 + 7\/3). Let b(p) = a*p**2 - 3*p**2 - p**2. Let t(h) = -6*h**2 - 4*h**2 + 4*h**2 + 8*h**2. Give b(t(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 325702.84 rounded to the nearest 1000?\nAnswer: 326000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92295 - 92403.046. Let k = -108 - x. Round k to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - t + 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x + 4*x + 3*x)*(41*x**3 - 41*x**3 + 3*x**4)*(-5 + 3 + 3).\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s = -18*s - 124. What are the prime factors of s?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -3058981\nAnswer: -10\/3058981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -60*z - 118. What is the remainder when c(-7) is divided by 123?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*n + 96*n - 276 = 0. Let y = -91 + n. Sort y, -5, -4, 5 in increasing order.\nAnswer: -5, -4, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.117 - -1.187. Round c to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 1.6191229.\nAnswer: 0.64764916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/(-6) - (-2)\/3. Let h = r + 12. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.76 in 2, 3, -2\/13, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996340226.\nAnswer: 2, 7, 89, 16319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 39 = 2*d + 9, 9 = 3*d + 3*n. What is the remainder when 24 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 304 + -276. Calculate the highest common divisor of 63 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = 88*l - 75*l. Let h(x) = -x**3 + 11*x**2 + 44*x - 26. Let g be h(l). Solve -5*f + g*u + 2*u - 10 = 0, 0 = 4*f - 5*u + 17 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 5*x - 4*b - 11, 1 = x - 2*b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 181791?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 9*u**2 - 695*u + 154 = 0.\nAnswer: 2\/9, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 113.4, -38, 1, 0.27, -0.5 in descending order.\nAnswer: 113.4, 1, 0.27, -0.5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -726 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 189648 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + -7 + -7)\/(0 + -20).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.91924 + -72\nAnswer: -73.91924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -15) + 26 + -11 + -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q + 7*q + 4*q + 13*q - 19*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 - 9*q + 8. Let n be g(-5). Solve -7*a - 1 = -4*j - 4*a, 2*j = n*a - 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 - 7985*s**4 - 3*s**2 + 7988*s**4 - 3*s**3 as m*s + b + g*s**3 + q*s**4 + d*s**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2 - 100*s + 37. What is the thousands digit of r(44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 481 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33, 32, 33, 36, 41?\n\"Answer: n**2 - 4*n + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001779909374 to seven decimal places.\nAnswer: -0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-9))\/((-106)\/477). Calculate the common denominator of -73\/33 and 3\/v*705\/(-94).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 114219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in -0.096, 0.1, 0.5?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-105)*-10*(-2)\/(-22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -66 + 47\/2*m**2 - 1\/3*m**3 - 93*m. What is the derivative of t(h) wrt h?\nAnswer: -2*h + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 395*x**2 + 6265*x - 22785.\nAnswer: -5*(x - 7)**2*(x + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-10))\/(546\/1040)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2 + -1.304. Let j = -0.03 - -0.13. Let q = j + t. Round q to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1444, -1397, -1350, -1303, -1256, -1209?\nAnswer: -1162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-6) + 71\/(-30) - -3. Let p = 2.2 + -2. Which is the closest to -2\/5? (a) -2 (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -4814c?\nAnswer: -48153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76235?\nAnswer: 5, 79, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1484499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 0)\/(6\/6). Suppose y*i - 2*c = 206, 8*c - 5*c = -3*i + 186. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 94*u - 485*u**2 - 166*u**3 + 22*u - 99*u**2 + 186*u**3.\nAnswer: 4*u*(u - 29)*(5*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y - 23 = 24*y. Suppose -106 = -3*g + 26. Calculate the remainder when g is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.367 times -2?\nAnswer: 0.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4204 and 1852?\nAnswer: 1946452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 k when four letters picked without replacement from xxxxkxxxxxikxyk.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - s**3 + 3*s - s**2 - 4*s - 3*s**4 + 2*s**2 + 4*s**4 as h + b*s + q*s**4 + l*s**2 + r*s**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 119\/5, -65, -2\/7 in decreasing order.\nAnswer: 119\/5, 4\/7, -2\/7, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 389137\nAnswer: -389136.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 127 = -z + 633, 0 = z - 1. Let d = -59 + c. Suppose 0 = -4*k + k + d. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 145546664 and 24?\nAnswer: 436639992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 267 - 146. Let v(l) = 13*l**2 + l. Let s be v(2). Let k = a - s. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d9 (base 14) to base 9.\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 26 - 14 = 0. Calculate the lowest common multiple of d and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-37)\/3 + 3\/9. Let y be 2 + (6\/(-4))\/((-2)\/(-4)). Let u = y - p. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*v + 3 = 136*v. Sort -25, v, 0.\nAnswer: -25, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 206, 52, -274?\nAnswer: -772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-14))\/(0 + 11\/77)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 + 1.0764. Let f = k + 35.9186. Let u = -35 + f. What is u rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 9*z**2 + 12*z - 13. Let p be x(10). Suppose c + p*c + 8 = 0. Which is bigger: -2\/7 or c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -133*w + 78432693*w**4 + 11411*w**5 - 265*w + 9 - 78432693*w**4 wrt w.\nAnswer: 228220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38151 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 - -134. Let y = p + 7. What is y rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36.987 - -37. Let r = -472.413 + 472. Let c = r + d. What is the nearest to 1 in 2\/11, c, 2\/17?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3350*d**2 + 31*d + 3. Is m(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82674 - 44451. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.1 - -12. Which is the nearest to -4? (a) i (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361 + 361 - 6*c**3 + 3*c**3 + 14*c**3.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -82 (b) -1\/2 (c) -0.05 (d) -5 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**42*o**(6\/7)*(o**(10\/9))**(-32) assuming o is positive.\nAnswer: o**(-4769\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2651*w - 214*w - 9 + 9 to f*w + z and give f.\nAnswer: -2865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 = -10*d + 8*d, -c - 4*d + 3 = 0. Suppose 0 = -p + 5*w + 199, c*w - 712 + 8 = -4*p. List the prime factors of p.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.7, -12, -1\/8, -3\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20882460?\nAnswer: 2, 3, 5, 17, 59, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmbddddmdbbdm. What is prob of picking 2 d, 1 b, and 1 m?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10330112 (base 4) in base 16?\nAnswer: -4f16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -13*v**3 - 401*v + 2091. Determine i(6).\nAnswer: -3123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {i: 2, d: 1, z: 2, s: 1, b: 2, t: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = s - 4*r, 2*s + 126*r - 135*r + 21 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 238 - -66. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41.926 - 42. What is r rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976209 is divided by 4671.\nAnswer: 4641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 2*q + 7. Calculate s(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 4. Let c be l(5). Let j = 0 - c. Suppose 26 = 2*m + j. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qttq when four letters picked without replacement from {t: 4, q: 15}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.8 - -16. What is the closest to c in -5, 0.4, -1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 313*c**2 - 3134*c + 467396. Determine q(157).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -7*w + 9*w. Solve 5*j + 14 = -w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j**5 + 3*j**3 - 9*j - 6 wrt j?\nAnswer: -100*j**3 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 3:58 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3376 and 4717280.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2. Let u(m) = 10*m + 11. Let d(o) = -2*o - 2. Suppose i + 22 = -0*i. Let n(q) = i*d(q) - 4*u(q). Calculate n(c(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -311476682 > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/75200 and 25\/704.\nAnswer: 827200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60.8 in 1, 6.0205, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3)*12*1. Suppose 4*l = 2*l - r*u + 8, 0 = 4*l - 5*u - 42. Suppose 3*b - l = 1. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in 2\/7, 2, -9, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b**2 + 9*b + 9. Let l = 1252 + -855. Let v(s) = -2*s - 401 - 3*s**2 - 2*s + l. Calculate -2*j(x) - 5*v(x).\nAnswer: x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -103. Let x = -27 - i. What is the remainder when x is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 (base 9) in base 3?\nAnswer: -10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*f + 2. Let j be f\/(1*(-2 - -1)). Solve -j*v = 2*p - 34 + 1, -4*p = -2*v - 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5993402421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -691 + 230795\/334. Let x = s + 331\/1002. Solve -4\/3*n + 0 - x*n**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -48 - -151?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 o, and 2 g when four letters picked without replacement from {g: 6, h: 2, o: 1, l: 3, r: 1, p: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -27c554 (base 14) to base 8\nAnswer: -5204356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.049 + -4.049. Put -1\/10, -0.4, 2, o in decreasing order.\nAnswer: 2, -1\/10, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 354484996?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 224693a?\nAnswer: 2246950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 51.9. What is the nearest to -1\/5 in i, 4, 3, -5\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30725 - 186*i**3 - 31557 + 183*i**3 in the form p*i**2 + c*i**3 + h + l*i and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -315*u + 4*u**2 + 315*u - 3*u**2. Let r(i) = -31*i - 6484 + 6484. Determine q(r(x)).\nAnswer: 961*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlllafxyyffff. What is prob of sequence af?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.16511*-0.5\nAnswer: 0.082555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509.901 rounded to the nearest ten?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.42762 plus -836.81?\nAnswer: -968.23762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31392519 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q. Suppose 4*h = s + 14, 5*s + 8 + 2 = 5*h. Let r(a) = -99*a**s + 62*a**2 + 50*a**2. Give j(r(l)).\nAnswer: -78*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from diddddddfrfidrfr. Give prob of picking 2 d and 2 f.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(80) + sqrt(80) + -1*sqrt(80))**2 + -4)*-3 + -5*(-2*sqrt(1125))\/((-1*sqrt(18))\/sqrt(2) - sqrt(9)).\nAnswer: -237 - 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -312.5?\nAnswer: -312.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**4 - 7*f**3 - f**2 + 2. Let y(i) = 17*i**4 + 35*i**3 + 4*i**2 - 11. Let t(u) = -22*h(u) - 4*y(u). What is the third derivative of t(q) wrt q?\nAnswer: -48*q + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**3 - 5*p**3 + 17*p**3 - 2*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1405.523 - -6.323. What is t rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21324 is divided by 5147?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4253898 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 270 = 3*a - 4*u + 312, -4*u - 13 = -5*a - 18 - 49 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 383abe - -2?\nAnswer: 383ac0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 15) to base 11\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in -3\/5, -4, -0.2, 0, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 + -8 + -30 - 40.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850703673 to the power of 1\/3, to the nearest integer?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9664.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8133 by -2711.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 less than -83594892977?\nAnswer: -83594892977.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 1053990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**6\/360 + d**4\/12 + 2*d**2. Let k(i) be the second derivative of m(i). Let r(q) = -2*q**2. What is r(k(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 60094 and 59686 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18351 + 18346. What is the fifth smallest value in o, 0, 0.3, 1\/3, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from {n: 3, q: 3, g: 2, w: 2, y: 9, t: 1}?\nAnswer: 27\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**0)\/h)**12)**(-21))**(1\/12) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8587103, 8587095, 8587087, 8587079, 8587071?\n\"Answer: -8*l + 8587111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4179 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**37)**(-1\/2)\/(h**13\/h**(2\/5))**(-17) assuming h is positive.\nAnswer: h**(886\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3171 divided by 453\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2\/n)**(-22\/9)*n**(7\/2)*n\/(n\/(n\/n**(1\/7))))\/((n*n**(-4))**(-39))**1 assuming n is positive.\nAnswer: n**(-14501\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82665 divided by -48.\nAnswer: 27555\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18792 divided by -1.\nAnswer: 18792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 966053861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Factor 309*z - 44*z + 18*z - 2*z**4 - 68*z**3 - 11*z + 8*z**2.\nAnswer: -2*z*(z - 2)*(z + 2)*(z + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 40611475?\nAnswer: 40611501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -247? (a) -2\/5 (b) 2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43006274 and 215031370.\nAnswer: 215031370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6)*10\/(-1). Let h = -5 - x. Suppose -3*z - 2 - 11 = -b, 3*z + 3 = h. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**4\/6 + 143*p**3\/6 + 218*p**2\/3 + 146*p\/3 = 0.\nAnswer: -2, -1, 0, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 715*k**3 - 3596*k**2 + 2880*k.\nAnswer: k*(k - 4)*(k - 1)*(k + 720)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 321 + -111002?\nAnswer: -110131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2862011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1016 times 1\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1000115, -4000482, -9001099, -16001972, -25003107, -36004510, -49006187?\nAnswer: -64008144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2262 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + t**2 + t + 7. Calculate z(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249475 is divided by 405?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 727419 and 576267.\nAnswer: 44372559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2. Let k(y) = 4*y + 60. Give k(n(f)).\nAnswer: -8*f**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 51545919 - 51545919 + 4220*c as f + t*c and give t.\nAnswer: 4220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 6 = -2*c, 0*b + 3*c - 4 = -b. Let x = 0 - b. Solve 0 = -2*y - 5*a - 4, -3*y + x = -2*a + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*i - 3*u, -2*u - 15 = -3*i - 2. Let d(y) = -i + 2 - y + 0. Let h be d(-3). Solve -8 = -4*k + r, h = 3*r - 8*r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x**(2\/13)\/x*x))*x*x*x**6*x*x*(x*x*x**(-4)*x)\/(x\/(x*x**4\/x))*(((x\/(x*(x*x*x**0)\/x))\/x*x)\/x)**(5\/7)\/(x**(-8)\/x**(1\/2)) assuming x is positive.\nAnswer: x**(3499\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*x**2 + 24*a**3 - 25*a**2*x + 271819*a*x**2 wrt a.\nAnswer: -6*a*x**2 + 144*a - 50*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 381740610 to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 157\/3*t**3 + 0*t**2 + 0*t + 0*t**4 + 185\/6*t**6 + 0*t**5 - 64. What is the third derivative of a(d) wrt d?\nAnswer: 11100*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6468 - -6515. Solve 14*j + 183 = -k*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7438000 rounded to the nearest one hundred thousand?\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 100 = -18*d. Calculate the smallest common multiple of 34 and d.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1833255?\nAnswer: 3, 5, 40739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 143425 = 3*s + 2*s, 4*l - s = -286905. Is l\/(-15) + (4 - (-56)\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 82 or 3?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 345 (c) -1 (d) -2 (e) 2\/183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g - 19*g = 45 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4014653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20138914 is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -98 + -60 + -3 + 64 + -2 + -2?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 102972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**2. Let g = -8 - -12. Suppose -x - g = -5*x. Let p be v(x). Which is the third biggest value? (a) p (b) 4\/3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*b*h**2 + 2*b*h*k**2 - 2*b*h*k*m + 15*b*h*m + 5*b*k**2*m - b*m + 709*h**2*k**2*m + 2*h*k**2 - m wrt h?\nAnswer: -20*b + 1418*k**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = j - 2. Let g be -2 - -3 - (j + -61). Suppose -3*l = -3 - g. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlvv when four letters picked without replacement from vlqqevvvv.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**2*v**2 - 3*t**2*v + 197*v**2 with respect to t.\nAnswer: 4*t*v**2 - 6*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363, -360, -357?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 11:14 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, b: 2, i: 2, m: 1, c: 4, u: 2}. What is prob of sequence pc?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - d - 1. Let s(p) = -8*p**2 + 5*p + 5. Let g = -4225 + 4220. What is g*t(l) - s(l)?\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2322, 2287, 2254, 2217, 2170, 2107?\n\"Answer: -l**3 + 7*l**2 - 49*l + 2365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 3*z - 9*z)*(-69*z - 71*z + 242*z).\nAnswer: -1224*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*k - 31 = -5*x + 62*k, -61 = x - 4*k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 938*o = 8082 - 26842 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 9 + -9 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-2 - -3)\/(-2). Suppose -t - 10 = -2*t + 2*j, 2*t + j - 5 = 0. Let p be 1 + 2\/4*t. Which is bigger: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and -0.0463.\nAnswer: -0.003241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.35 + 7. Let j = -0.022 - -0.072. Let i = o + j. Which is smaller: i or 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1995 = 16*h. What is the remainder when h is divided by (110\/8 + 5)\/(3\/4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35123 divided by 1\nAnswer: -35123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*q = -484, 899 = -4*y + q - 41. Let r be 1 - 9\/7 - y\/(-14). Is r less than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 7. Let o be c(-9). Let s(w) = -2*w**3 + 2*w**2 + w - 2. Let g be s(o). Let n(l) = -l**3 + l - 1. Let k be n(2). Is k at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6414189, -12828374, -19242559?\n\"Answer: -6414185*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 247 - 137. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -37*t - 33, -39 = 175292*t - 175291*t - 5*j - 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1681 + 1706. Let r(g) = 2*g + 0*g - 8 + 3. Let l be r(5). Solve -2*o - l*i + 19 = -o, 5*o = 5*i - m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3 + 7*n**2 + 0*n**2 - 3*n**2 + 2 wrt n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + 4 - (-1 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -67*k - 154. What is l(-4)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 401 - 1.696\nAnswer: 399.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2561.85 - 2503. Let j = x - -15.25. Round j to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 0*i**2 - 5*i - 8*i**2 + 4 - 8*i**2 + 14*i**2. Let s be c(4). What is the highest common factor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 58 (c) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p + 5*b - 84, -p + 80*b = 77*b + 14 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(800)*-2*-6)\/(3*sqrt(1000) - (sqrt(810) - -1*sqrt(810))).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5703239*r**2 + 2740*r + 705.\nAnswer: -11406478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-16)*(2 + -3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**5 + k**4 - k**3 - k**2 + 2*k - 2. Let a(z) = -38*z**4 + 3 - 3*z**5 + 37*z**4 + 2 - 4*z + 2*z**3 + z**2. Let h(s) = -6*a(s) - 15*i(s). Factor h(c).\nAnswer: 3*c*(c - 2)*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}