diff --git "a/data/dm_maths/full_data/10425_11255.jsonl" "b/data/dm_maths/full_data/10425_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10425_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 1337 = 33*d + 1172 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 8 = -3*t. Let m = 339 - 122. Let c = m + -212. What is the second biggest value in c, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*v + 15*v - 77 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 7*j + 6*j + 379 = 0, -3*p + 565 = -2*j. Suppose -227*g - p = -236*g. Suppose 5*a - 45 = -0*a. Calculate the least common multiple of a and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250 and 49625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176 (base 12) to base 8.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28578.\nAnswer: 2, 3, 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 - 6627*r**2 + 59636*r\/3 - 13252.\nAnswer: (r - 19878)*(r - 2)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x - 8. Let w(g) = -4*g - 9. Determine -6*t(l) + 5*w(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5978 divided by -61\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -4 + 4 - -6 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-17 + 13 + -6 + 62)) + -14.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**2\/8 + 678811*p\/2 - 460784373721\/2 = 0?\nAnswer: 1357622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/66485 and -1\/94 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 + 98. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78*202\/1313)\/256.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 40192, 80578, 120964?\n\"Answer: 40386*k - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2 = 8. Let b be 15\/(-3 - -6) - 1. Suppose 3*f = -b*a + 8*f + 14, -3*a + 3*f = -12. Solve -y*k - 2 = -0, 3*u + a = -3*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 24*y**2 - 40*y**2 + 3*y**2. Let n(b) = -20*b**2. Calculate q(n(m)).\nAnswer: -5200*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/460 and 193\/52800.\nAnswer: 1214400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 5. Let f(l) = l + 6. Let i(d) = 2*d + 13. Let k(s) = -5*f(s) + 2*i(s). Let x = 78 - 66. Let a be 6*(-3 - 1)*(-2)\/x. Determine a*k(b) - 3*n(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 5:42 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1. Let j(a) = 2*a - 16. Let m(u) = 12*g(u) + j(u). What is m(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f - 2*h, -18 = -5*f + 4*h + 23. Suppose 15 = f*k, 0 = -4*t + 2*t + k + 5. Suppose -t*d = -5*d - 2. Sort d, 1, 0.5 in decreasing order.\nAnswer: 1, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z = 72*z + 164. Sort z, 138, -3 in decreasing order.\nAnswer: 138, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -15*u**2\/2 + 14*u - 3728. Give o(7).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13824591 - 1821381. Let a = j - -15645979.300041. Let w = a + -7.3. Round w to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 22 + 43 = 5*q, 0 = o + 4. Is (-1)\/(q\/(-3)) - -3463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 727.7 + -728. What is the closest to -0.1 in c, 9.3, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/1326, -5, 0.5, 0.1, -2\/61 in decreasing order.\nAnswer: 0.5, 0.1, 1\/1326, -2\/61, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2 + 27. Suppose -x*z = -7*z + 6. Suppose -q - 4 = 0, 3*r - z*q - 51 = 87. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139 - 81. Suppose 5*l = b + 17. Suppose 0 = 4*x - 0*x - 112. What is the remainder when x is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*s + 57306 + 23474 = 698*s for s.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -474 + 1503. Suppose -6*b - b = -p. Calculate the remainder when b is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -178 + 198. Let i(u) = 10*u + 6. Let x be i(5). Let d = x - -22. Calculate the remainder when d is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -5*v + 228, 191730*m + 236 = 3*v + 191734*m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 6 = -6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:09 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553147*l + 3245*l**2 - 553147*l.\nAnswer: 3245*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 66341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 7*p - 19. Suppose 0 = -2*t + 8, 29*r - 3*t + 8 = 27*r. Let s be y(r). Let z = -0.9 + 1. Which is the smallest value? (a) s (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45554?\nAnswer: 2, 22777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 26568465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1488*t - 6 - 1 + 6 + 1.\nAnswer: -1488*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 86470 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8*y - 6*y + 15*y**3 + 9*y**2 - 16*y**3 + 7*y + 13. Let f be d(10). Suppose f*p - 97 = -88. Solve -3 = -p*l - 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 37 = -4*w + 4*p, 2*p = -2*w - 4. Is w less than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from twgygttfttttgyyg?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/17)\/(-3*(-1)\/(-4)))\/(-4).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81512813406494\/13975 + 5832759462. Let a = y - 134\/25. Does 1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -947 - -17?\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53 - 5?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**3 - 16*f**2 - 8*f - 104. What is the thousands digit of s(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 831315438 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: Is 2464751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 7. Calculate b(-18).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161071879 to the nearest integer?\nAnswer: 12691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 + -2 + (4 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2449.\nAnswer: 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54710?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjx when three letters picked without replacement from {a: 7, q: 2, x: 2, j: 7}.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -108374*w**3 - 79*w - 60168409?\nAnswer: -325122*w**2 - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**2 - 11*t + 5. What is p(4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2.6, 0, 2\/3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 18 = 2*v + k, -v - 5 = -5*k. Let z(n) = n - 5. Let s be z(9). Put s, -3, v in ascending order.\nAnswer: -3, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or 3618\/35?\nAnswer: 3618\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 w when three letters picked without replacement from {i: 4, w: 1, k: 1, n: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 23*f**2 + 3. Let w(i) = 8*i**2 + 1. Let l = 1087 + -1104. Give l*w(v) + 6*o(v).\nAnswer: 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31 and 221355?\nAnswer: 6862005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-2))\/(22\/33). Let x(v) be the second derivative of 1\/12*v**4 + 0 + 1\/2*v**2 - 1\/3*v**y - v. Factor x(d).\nAnswer: (d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*y = 22, 2*f + 2*y - 18 = f. Let u = f - 5. What is the highest common factor of 35 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*q + 1 + 2*q + 2 - 2*q + q - 3*q + 4*q + q - 2*q + 1 - 1 + (1 + 0 - 2)*(-1 + 1 - 2*q) + 1 - 1 + q - 3*q + 3*q - 2*q - 130*q + 86*q - 214*q.\nAnswer: -259*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 4*y**2 - 12*y - 16. Let g be x(-3). Let b(j) = 22 + j - 16 + 0*j - g. Let s(h) = -1. Give 2*b(n) - 14*s(n).\nAnswer: 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(171)*1)\/sqrt(9) + sqrt(19)).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5471992.8 and -0.059396.\nAnswer: -5471992.859396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -11, -4 in decreasing order.\nAnswer: -4, -11, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 762*w**4 + 3807*w**3 - 15*w**2.\nAnswer: 3*w**2*(w + 5)*(254*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 6:33 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6479*w**3 - 4*w**2 - 4*w - 5. Suppose 0 = i - 4*p + 15, -3*p = 2 - 17. Let h be x(i). What is h rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(220)\/(-6*sqrt(176)))**2.\nAnswer: -sqrt(5)\/2 + 1301\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 - (9 + (-146 - -31)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55464 divided by 4622.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 69*t + 324.\nAnswer: -3*(t - 4)*(t + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140*p**4 - 8442*p + 151*p**3 + 7891*p - 145*p**3 wrt p?\nAnswer: -1680*p**2 + 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 6 = 6*w, 0*w = 3*w - 4*l + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*4*1*sqrt(304)*3)**2*-3.\nAnswer: -1181952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -81*k**3 + 4*k**2 - 2*k + 1. Let n be d(-4). Suppose -3*h = 4*h - n. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 2 - 2\/27*j**3 + 1\/108*j**4 - 5*j**2 + 0*j + 1\/270*j**5. Suppose z(c) = 0. What is c?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 774\/22 - (-8)\/(-44). Suppose 5*t = -w - 9 + h, 5*w - 3*t = 74. Let m = -11 + w. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 2*b - 6*b - 3*b - 2*b + 7*b - 2*b + 0 + 0 - 3 + 2*b + 3 + (-5 + 5 - 2)*(-2*b - b + b) - 2*b - 2*b + 3*b in the form t*b + o and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1594*d + 14 = 2*u - 1595*d, 4*d = u - 14 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - (8 - 10)) + (-1 + 22)\/7.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 46156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 9966.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121 - -24003102?\nAnswer: 24002541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7285 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5439517?\nAnswer: 337, 16141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1107\/117)\/(-3) - -3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -14\/5, 2\/259, 5\/6 in decreasing order.\nAnswer: 5, 1, 5\/6, 2\/259, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -174171 divided by 14?\nAnswer: -174171\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and 2488?\nAnswer: -398.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 55 = 5*q, 3*q = 4*k - 46 - 5. Suppose -5*v - 17 = 2*s - 3, -2*v = 5*s + 77. Let t = s - -29. What is the smallest common multiple of k and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -5, 0.5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 164227 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -14*l - 2. Let a(b) = 3*b**2. Calculate a(h(p)).\nAnswer: 588*p**2 + 168*p + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1409? (a) 4 (b) 0 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**4\/14 + 94*x**3\/21 + 528*x**2\/7 - 1152*x\/7 + 541. What is a in v(a) = 0?\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1696229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 1 + 1)*(c - 9*c + c) + 42*c - 43*c - 66*c in the form x*c + u and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1688938 is divided by 18353?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 816\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145571893?\nAnswer: 947, 153719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -19*r**2 + 5*r. Let o be w(1). Let m(l) = -l**2 - 28*l + 16. Is m(o) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-158599)\/(-1072214) - (-6)\/(-39))\/((-9)\/(-12))?\nAnswer: -2\/253","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 441591534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 10. Let j be c(7). Let f be ((-1)\/(-2))\/(j\/(-90)). Suppose f = 5*o - 2*o - 3*s, 55 = 5*o + 5*s. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - t + 16 = 0, 3*t + 62 - 74 = -3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(3\/24) - 3. Let v = -0.71 - -1.21. Sort -4, v, q in descending order.\nAnswer: q, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 4012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llbqlllllqqp.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((((g**(-45)*g)\/g)\/g)\/g))**21*g\/(g\/(g\/g**42))*g**(-3\/11)*g*g)**19 assuming g is positive.\nAnswer: g**(202464\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**7\/5040 + q**6\/120 - 9*q**5\/20 + 47*q**2 - 2*q. Let l(p) be the third derivative of f(p). What is l(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9834 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - z - 1. Let k(l) = -l**2 + 5*l. Let t(i) = 2*j(i) + k(i). Let u(h) be the first derivative of t(h). Let w be (-2)\/(-6) + (-10)\/3. Give u(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.06507 and 0.3.\nAnswer: 2.36507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - ((-4735780)\/42 + 8 - (-4)\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 27. Which is the smallest value? (a) -4 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 618885*c**3 - 14084190 wrt c?\nAnswer: 1856655*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (0 + 12 - (-7 - -16)) + 9 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - 4*z - 28. Let w be a(5). Suppose -37*f - w*n = -34*f - 12, 0 = 2*f - n - 1. Solve 0 = -2*c + f + 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + n**2 - 11*n - 2*n**2.\nAnswer: -n**2 - 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**9\/5040 - l**6\/180 - l**4\/6 + 3*l**2. Let c(q) be the second derivative of j(q). Find the second derivative of c(g) wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103059 to the power of 1\/2, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + s + 35 = 2*w, 5*w - 15 = 2*s. Suppose -s*q + 21 = -34. Let l(p) = 2*p**2 - 18*p - 7. Is l(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483*f**2 - 50 + 5*f**3 + 32*f**3 - 29.\nAnswer: 37*f**3 - 483*f**2 - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/140 and 49\/45.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 9*p**2 + 7*p + 9. Let k be s(-6). Let t = 51 - k. List the prime factors of 1\/(1\/t*-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446370683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -501 + 499. What is the smallest value in t, -0.8, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 13*m**2 - 2*m + 24. Let p be q(13). Let d = 48 - 191\/4. Which is the second biggest value? (a) d (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 7625*p**4 + 38755*p**3 + 64150*p**2 + 35540*p + 2520 = 0.\nAnswer: -2, -1, -126\/1525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 5 - (12\/4 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2. Let u(w) = 9*w**2 - 6. Suppose 11*q - m + 6 = 13*q, 5*m - 19 = q. Let k(o) = o**2 + 1. Let y(n) = q*u(n) + 6*k(n). What is g(y(i))?\nAnswer: -450*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/6288 and -48\/11.\nAnswer: 69168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 10. Put l, -5, 0, -3 in descending order.\nAnswer: 0, -3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -219, -529, -933, -1431, -2023, -2709, -3489?\n\"Answer: -47*t**2 - 169*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-76)\/20 + 4 - (-21)\/(-30). Suppose 3*u + 5 = 5*d, 4*u + 4*d - 37 = -1. What is the fourth biggest value in 6, u, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4315.2128 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21022687?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/63*(-5)\/(-20)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 52?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14962*k**2*w**3 + k**2*w - 100*w**3 + w**2 with respect to k.\nAnswer: 29924*k*w**3 + 2*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) -50 (c) -3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(9) + -5*sqrt(144))*-3.\nAnswer: 3*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18936333, -37872664, -56808995, -75745326, -94681657, -113617988?\n\"Answer: -18936331*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4092 and 144912042?\nAnswer: 289824084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 2, l: 1, t: 2, g: 3, n: 6, z: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4516292242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*i + 4 = 2*l, -5*l + 10 = -5*i. What is the third derivative of -4*u**3 + 6*u**l + 10*u**3 + 10*u**6 - 6*u**3 wrt u?\nAnswer: 1200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -808*y**2 + 10*y - 12. Let l(s) = -405*s**2 + 6*s - 7. Determine -5*l(i) + 3*p(i).\nAnswer: -399*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 5 + 0*l**4 - 2*l - 3\/4*l**5 + 0*l**2 + 3*l**3 + 1\/30*l**6. What is the second derivative of k(z) wrt z?\nAnswer: 12*z**2 - 90*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 26.4 (b) -2 (c) -0.1 (d) -4 (e) 0.4 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 4*u**2 + u + 8. Let k be x(4). Let t be 0 - (0 + (-2 - 0)). Suppose t*n = 4*l + n - 33, 0 = l - 4*n - k. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -185.125 - -158.9. Let s = -26 - q. Let w = -0.122 + s. Round w to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (25\/180)\/((-9)\/72 + 0). Is u greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (36\/(-24))\/(6\/20) + 7 and 43?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4229911 divided by 7.\nAnswer: -604273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/6, -0.1, 1, 3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 3 + 8 - -1 - -5) + -39?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102*d**4 - 161.\nAnswer: 408*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 8. Let h(c) = -2*c + 253. Calculate h(y) - 4*u(y).\nAnswer: 2*y + 285","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 91, 545, 1625, 3595, 6719, 11261, 17485?\n\"Answer: 44*d**3 + 49*d**2 - d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1189 + -616. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -13*p**8\/14 - 37*p**4\/24 + p**3\/2 - 358*p**2. What is the second derivative of x(u) wrt u?\nAnswer: -6240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 950\/7 or 0.862?\nAnswer: 0.862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 9:24 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 4310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40472 is divided by 738.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 3, z: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tty when three letters picked without replacement from uutuyuyuuytyuuuu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.1, 6, -1\/38, 117.6 in decreasing order.\nAnswer: 117.6, 6, 0.1, 0, -1\/38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -3160?\nAnswer: 3162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5\/2 - 47*a**4\/4 - 27*a**3 + 1411*a**2\/2 + 2165*a\/2 + 1449\/4 = 0.\nAnswer: -7, -1, -1\/2, 9, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2))**(-10\/3)*m**4*m**(-2))**(-39) assuming m is positive.\nAnswer: m**(-143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 29*d + 0*d**2 - 15\/14*d**7 + 0*d**5 + 0 + 0*d**3 + 0*d**6 + 19\/6*d**4. What is the third derivative of k(n) wrt n?\nAnswer: -2700*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.512 to 2 dps.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (45\/10 - 5)\/1*-10. Solve -8 = f*v - v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -76 (b) 3 (c) -2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 19*t = 14*t - 5, 2 = -s - 2*t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -0.6, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473 = -61*c - 259 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196 - 201. What is the nearest to 0.1 in -2, -0.06, x?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -5)*(0 - 1). Let h = 787\/21 - 260\/7. Which is smaller: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3 + (-245)\/(-21). Differentiate 86 - v*y - 14*y - 69 wrt y.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*o = 65, -19*o + 54*o = 4*f + 135 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2728 and 164176?\nAnswer: 1805936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-2683660)\/(-80))\/(-29)*-36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = o + 5*t, -2*t - 1 - 9 = 0. Which is smaller: 1\/20 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/22 + 158\/22. Suppose -10 = 4*x + 2. Let u = c + x. What is the remainder when u is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12584?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o - o - o)*(-15 - 36 - 245 - 655) as w*o + b and give w.\nAnswer: -1902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 38 = -2*w, 0 = -w + 4*l - 0*l + 16. Let y(i) = i**2 + 9*i + 8. Let p be y(-4). What is the smallest common multiple of (-45)\/(-2) + 6\/p and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - v + 3. Let t be s(0). Suppose 0 = -5*d + 5*w, 2*d - t*w = -5*w - 4. Let h(f) = -13*f - 1. What are the prime factors of h(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 12*r - 7. What are the prime factors of z(4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 14*v**3 + 5*v**2 + 4*v - 4. Let u be a(-4). Let q be (180\/(-54))\/(1 + (-8)\/6). What is the tens digit of (-52)\/(-130) - u\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.600000819 + -7.6. What is d rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25318 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.08854?\nAnswer: -0.17708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -12*g**3 + g - 1. Suppose -5402*r + 5408*r = 6. Give y(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 3*c - 1. Suppose -4*l - 147 = -151. Suppose 0 = -3*j + r - 0*r + 4, 10 = 2*r. Suppose -t + 3 = -2*p - l, 0 = -j*p + t - 7. Determine k(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 89, 225, 407, 629, 885, 1169?\nAnswer: 1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3221282548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzglagfz. Give prob of sequence zzf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 9:20 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 0. Suppose -5*p = -t - 19, 4 = -h*p - 4*t - 3. Let x be p + (91\/4)\/(-7). Which is the nearest to -0.2? (a) x (b) -4 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 - -14. Suppose -m = 4*r - 15*r. Solve r*b - 35 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 14*q**2 - 12*q - 8. Let t be b(13). Sort 3\/8, t, -3, 0.1 in descending order.\nAnswer: t, 3\/8, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.0562*-1.059.\nAnswer: -3.2365158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*d + 102 + 28 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 214*f + 44*f - 1763*f - 165*f**2 + 226*f**2 - 1359*f**2 wrt f.\nAnswer: -2596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.035 - -0.365. What is the nearest to 5 in 5, w, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/3 + 209*g**2 + 32865*g + 97969\/3 = 0. What is g?\nAnswer: -313, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*t**2 - 975*t + 2858*t - 1387*t + 200.\nAnswer: -2*(t - 50)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*u + 5500 = -117*u - 85*u for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 120, 26, -184, -510, -952, -1510?\n\"Answer: -58*m**2 + 80*m + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85069 and 970?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 33\/16 (b) -0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 16085.17 centimeters?\nAnswer: 160.8517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + 0)*-4)**2 + -1.\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1908210?\nAnswer: 2, 3, 5, 63607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/18*999\/222. Let z(u) be the first derivative of -5\/6*u**6 + 5\/2*u**4 - u**5 - 5*u - 17 - o*u**2 + 10\/3*u**3. What is k in z(k) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 21 = -8*f + 11*f, n + f = 6. Suppose 17*m - 150 = 12*m. Suppose -3*o = -6*o + m. Solve -8*t + o = -n*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**6\/120 - r**5\/3 - 2*r**4\/3 + 13*r**3\/3 - 59*r**2 + 8*r + 2. What is p(-19)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/16 and 3\/(-20)*(22 + -6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -207629000 to the nearest one million.\nAnswer: -208000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 1)*(0*q**2 + 3*q**2 - 2*q**2) + 34*q**2 + 47*q**2 + 90*q**2)*(-2 - 1 + 2 + (-3 + 1 + 0)*(1 + 4 - 2) + 1 - 6 - 2).\nAnswer: -2366*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + p**2 + 4. Let j be a(-2). Suppose 2*m - q = -3*q + 4, -2*m = -4*q + 20. Let d = m - -3. Solve -d = 3*r - g - g, j = -4*r + 4*g - 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4\/2 + 177*q**3\/2 + 525*q**2\/2 + 523*q\/2 + 87 = 0. Calculate q.\nAnswer: -174, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 14*m - 5 - 16*m**2 + 0 - m**3 - 9. Let x be j(-17). Suppose 44*k + 13*k - 285 = 0. Solve 0*y = -p - k*y + 20, 0 = -3*p + 5*y - x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123 + -87. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -250 (c) -0.2 (d) 0.205\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 26*s + 33*s + 58 - 112.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1808560 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 203*(-132)\/161007 - 1*(-2)\/41.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 2, -875, 120 in descending order.\nAnswer: 120, 33, 2, -875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)\/((w**6*w)\/w))**(-15)\/(w**5\/w**(5\/2)*(w*w\/w**(2\/3))**36) assuming w is positive.\nAnswer: w**(259\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in -4, 7\/2, -0.4, -6\/7, 42?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7484870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.782? (a) -4 (b) 0.1 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2333991 or -2333957?\nAnswer: -2333957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4357, 4199, 3935, 3565, 3089, 2507?\n\"Answer: -53*d**2 + d + 4409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -41*k**2 - 41*k + 146. Calculate v(5).\nAnswer: -1084","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -21*g**5\/8 - 57*g**4\/8 + 81*g**3\/8 + 129*g**2\/8 - 21*g + 9\/2 = 0.\nAnswer: -3, -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*j - 6 + 17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6445\/21 + 307. Which is the biggest value? (a) 3 (b) -3\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 386.74 + -382. Let b = j + -4.24. What is the nearest to 26 in b, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 18*x**2. Let s(f) be the second derivative of f**3\/3 + 2*f. Calculate u(s(v)).\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 538 - 394. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**4\/4 + 4*u**3\/3 - 7*u**2\/2 - 4*u + 17. Let v be (-66)\/14 - 4\/14. What is x(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 677821 - 684840.13. Let o = 7018.83000025 + n. Let w = -0.3 - o. What is w rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1122)\/85)\/((-144)\/240)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 52176019 to the nearest one hundred thousand.\nAnswer: 52200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -586 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 7685*c**2 + 92805*c - 209115.\nAnswer: -5*(c - 9)*(c - 3)*(c + 1549)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 10*d**2 + 7*d - 13. Let i be ((-45)\/10)\/((-1)\/(-2)). Let r be c(i). Suppose 0 = r*p + 10, -2*p = 5*v - 0*p - 106. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3013*s**2 + 2932*s**2 + 4 - 5951*s**2 + 4*s. Let p(a) = -a**2 + a + 1. Give l(j) - 4*p(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 + (-209)\/(-33) + 27)*(-16 - -1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n**2 + 2*n - 2. Let t = -314 - -313. Let v(q) = -q**2 - q + 1. Determine t*c(j) - 2*v(j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -5. Suppose -3*o - 4*a = 26, -5*o + 0*a - w*a - 38 = 0. Let h(k) = -k**3 - 6*k**2 + k + 1. Calculate h(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**3 + 8*f**2 + f - 42 = 0?\nAnswer: -7, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.477411 months?\nAnswer: 0.00078978425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 86, 114 in decreasing order.\nAnswer: 114, 86, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 divided by 293.\nAnswer: -115\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145*d*m**2*p + 3*d*m + 8*m**2 with respect to p.\nAnswer: 145*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z + 0*z - 2*z + (-1 + 4 - 1)*(4 + z - 4))*(-5 + 0 + 3)*(5 - 2 + 2) to the form w*z + d and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59994 and 23.\nAnswer: -1379862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16436 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-6))\/(10\/36).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 11. Suppose 5*k - k - b + 9 = 0, 0 = -3*k + 5*b - 11. Let l be (-7 - 2)\/(k + 1). Suppose -4 + l = z. Calculate a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 25*t - 99. Let y be i(-30). What is the remainder when 71 is divided by (-1)\/(45\/y) - (-2)\/15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -45, 40, 2 in decreasing order.\nAnswer: 40, 3, 2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 11*n**3 - 6*n**2 - 16*n + 54. Is b(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 54*h**2 - 2. Let k(r) = -109*r**2 + 4. What is 3*k(j) + 7*v(j)?\nAnswer: 51*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4054400 (base 6) in base 15?\nAnswer: -3c7ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/3)\/((-7)\/(-42)). Suppose -f + 0*f - c + 3 = 0, -u*c - 14 = -2*f. Let r(g) = g**2 - 2*g - 5. What is r(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -7*u + 308. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-2) - 2) + (-630)\/108\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 708114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 9103 - 2947 = 0. Calculate the remainder when t is divided by 175.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 39396.779.\nAnswer: 39396.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/w**2*w)\/w)*w)\/w*w*w\/w**(-2)*w**(-3\/4)*w\/(w\/((w**(-4)\/w)\/w)))**3 assuming w is positive.\nAnswer: w**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 39, 426, 1475, 3516, 6879, 11894, 18891, 28200?\n\"Answer: 55*f**3 + f**2 - f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12122 (base 3) to base 11.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlijkjjilk. Give prob of picking 2 k and 1 i.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -75165, -75222, -75363, -75630, -76065?\n\"Answer: -7*b**3 - 8*b - 75150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577971606?\nAnswer: 2, 3, 653, 147517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*z**3 - 179*z + 179*z.\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073 - 16.7?\nAnswer: -16.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n + 15. Suppose 4*b + 4*x - 16 = 0, 0*x + x = 3*b. Solve s = -n + b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 + 0.44. Let f = 0.17 + d. Round f to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 78*m**2 + 1570*m + 146. Calculate c(-20).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**4 + z**3 + z**2 + z. Let v(n) = -6*n**3 - 4*n**2 - 2*n. Suppose -4*y + t = -t - 10, -3*y + 2*t + 8 = 0. Let m(f) = y*d(f) + v(f). Factor m(u).\nAnswer: -2*u**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317101521 + 317101521 + 3*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**6\/180 - o**5\/40 + 4*o**3\/3 + 15*o. Let z(n) be the second derivative of p(n). Determine z(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15335132?\nAnswer: 2, 157, 24419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 58 = 30*l. Solve 2*j - h = -2*h + 14, -l*j = -2*h - 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.33 in -1\/10, 0.07, 1\/10, 65, -11?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89738420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g = 0. Let d be 3 - (g + 1)*-11. Calculate the highest common divisor of d and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 161 + -159. Let d(x) be the third derivative of -1\/8*x**4 + 1\/30*x**6 - 1\/336*x**8 - j*x**2 + 0 + 0*x + 0*x**7 - 1\/30*x**5 + 1\/3*x**3. Factor d(g).\nAnswer: -(g - 1)**3*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 29*w - 1012 = 0. Let u = w - -70. Calculate the greatest common divisor of u and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067361 bigger than 2067361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 6)\/(10\/(-25)). Solve -4*s - 5 = -3*n, -3*s + 2*s + b = 3*n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 909, 4019, 9195, 16437, 25745?\n\"Answer: 1033*k**2 + 11*k - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*c - 2498 = -1171 - 1187 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2. Let s(w) = 2*w**2 + 25. Give l(s(g)).\nAnswer: -4*g**4 - 100*g**2 - 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1673 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(-2)\/12*-3. Let j(g) = -g**3 + 2*g**2 + 4*g - 1. Let f be j(p). Solve f*q + n = -2*n - 17, -q = 5*n + 19 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13104, 12900, 12694, 12486, 12276, 12064, 11850?\n\"Answer: -f**2 - 201*f + 13306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5637 + -5639. Let l(x) be the third derivative of -x**5\/60 - x**4\/12 + x**2. Let a(o) = -o**2 - 3*o. Let g(s) = 6*a(s) - 10*l(s). Give g(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.52, 3\/4, 2\/7, -0.027?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 185\/(-40) - (-18)\/(-48)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69248770 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 86708366 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -56 + -1028\nAnswer: -1084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -3.3, 13, 29\/3.\nAnswer: -3.3, 1\/4, 29\/3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10804296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5238*i**2 - 2620*i**2 - 308*i**3 - 2618*i**2 - 308*i**3.\nAnswer: -616*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = o + 5*k, 0*k - 6 = 3*o + 4*k. Calculate the remainder when 17 is divided by (2\/5)\/(o\/(-50)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/2 (b) -12\/13 (c) -1\/433\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2007, 1959, 1905, 1845, 1779, 1707, 1629?\nAnswer: 1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*g**2)*(3*g - g + 0*g) + 8*g**3 - g**3 - g**3 - 5*g**3 + 0*g**3 + 4*g**3 + (4*g + g - 4*g)*(-3*g + 3*g - 2*g**2).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 20, -0.5, -5, -6894?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1\/3, 4, -14, 219, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(80) + -4)**2.\nAnswer: 128*sqrt(5) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42218, 42217, 42216, 42215, 42214, 42213?\nAnswer: 42212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(3)*-3 - sqrt(9)\/sqrt(192).\nAnswer: -25*sqrt(3)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 46 = -3*l, 2*b - 49 = 4*l - 25 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 = 4*q, -2*h - 2*q = -86. List the prime factors of (16\/(-10))\/(h\/(-20915)).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/(-10) - (0\/16 + -3). Let a = 18 - 9. Let o = 5 - a. What is the smallest value in p, -1\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**4 + t**2 - t**2)*(1 - 40 - 24).\nAnswer: 126*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a milligram in micrograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2 - 5*m + 2. Let r be l(1). Suppose r*a - 358 - 56 = -2*u, u - 207 = 2*a. What is the highest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**9)\/i**7)**(1\/5)*(i\/(i**(-2\/5)*i*i))**(-6)*i*i**(-1\/3)*i*(i**(-2\/9)\/i)\/i assuming i is positive.\nAnswer: i**(173\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 4993.1, -7\/3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**2 + 8*u - 8. Let c(f) = -f**2. Let z(b) = 4*c(b) + r(b). Let o(d) = -49*d - 2458. Let g be o(-50). Give z(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5250 = -9*g + 2*g. Let c be 3 + -451*5\/g. Let m = c - 293\/1050. Sort -9, 3\/4, m.\nAnswer: -9, m, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k**2 - 10*k - 19. Is g(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -477 + 513 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, o: 1, l: 2, a: 5, i: 5, d: 1}. Give prob of sequence oal.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 11. Suppose -3*k + 7 + 11 = 0. Let u(z) = -2*z**2 + 11*z + 6. Let i be u(k). Determine y(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 6*d**2 + 2*d - 1. Let z be (-2 + -11 - 2)*3. Calculate the remainder when c(-5) is divided by (7 - 1)*(-60)\/z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 9:19 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*w**4 - 4065524*w**3 - 124765421*w.\nAnswer: -72*w**2 - 24393144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40366 - -68306. Round w to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 - 7872*g**3 + 5171895*g**2 - 10312326*g.\nAnswer: 3*g*(g - 1311)**2*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5699, 5548, 5395, 5240, 5083, 4924, 4763?\n\"Answer: -v**2 - 148*v + 5848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 219664?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3134 by -2.\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 218390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(396) + 0 - sqrt(396))**2 + -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34, 265, 652, 1195, 1894?\n\"Answer: 78*k**2 - 3*k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40670960 and 2045?\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-4) - 3\/(-12). Suppose d + 2 = -x*d. What is the tens digit of (-8 + d)*8\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 33*d - 284. Calculate c(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3026 + -1?\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/70)\/(3\/42). Which is the second smallest value? (a) 2\/7 (b) w (c) 3 (d) 1 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(486)*-2)\/(-3*sqrt(6)\/sqrt(2)))**2 + 3.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00074 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.707 - 9.63. Let g = -2.1 + p. What is g rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*21\/2*((-6700)\/67)\/(-100)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11788 is divided by 1643.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2468 - 2507. Is u less than -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2690, -5507, -8324, -11141, -13958?\nAnswer: -16775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000000010 (base 2) in base 11?\nAnswer: -15a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695800 is divided by 347592?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31615 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55403, 55417, 55431?\nAnswer: 55445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 990 - 3667. Let x = -6277 - s. What is x rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 708\/(-12) + 9\/(-3). Let l = k + 66. Solve 4*g = 5*y - l, 3*y = y + 2*g + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 9:58 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1682*-75.\nAnswer: -12.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 21161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 91*l**2 - 39*l + 5. Let f(j) = 31*j**2 - 15*j + 2. Calculate -11*f(q) + 4*m(q).\nAnswer: 23*q**2 + 9*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k**3 + 189*k**2 + 261*k - 303. What is i(-22)?\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/4)\/(q*(q*q\/(q**(3\/2)*q*q))\/q)*q*q**(2\/17)*q*q*q\/q**(-4\/9)*(q**(2\/19)*q*q**(-2\/9))\/(q**(-1\/2)\/(q**6\/q)) assuming q is positive.\nAnswer: q**(135991\/11628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 20241808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01151 - 106758.4?\nAnswer: -106758.41151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1076829?\nAnswer: 3, 13, 27611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 27*z**3 + z - 1. List the prime factors of d(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 196.27 or 1.221?\nAnswer: 196.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + 49. Let t = o + -63.5. What is the biggest value in 2, t, -2\/7, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4235080*l**4 + 70*l**2 + 4563 wrt l.\nAnswer: -101641920*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c - 5*c + 4*c - 3*c + 0*c + 0*c + 0*c + 2*c - c + (-2*c - 4*c + c)*(-2 + 1 - 2).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 614610617?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 3*k**2 - 2*k + 1. Give d(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 3*q + 3. Let k(b) = b**2 - b + 1. Let a(s) = s**3 - 3*s**2 + 2*s + 17. Let y be a(-2). Determine y*k(l) + 3*z(l).\nAnswer: -l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24191, 97588, 220187, 391988?\n\"Answer: 24601*s**2 - 406*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 49*s + 0*s**2 + 0 + 1\/3*s**3. Let w(d) = -8*d**2. What is q(w(h))?\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(3\/18*(23\/5 + -3)). Solve -x - 10 = -25*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1019 + -996 - (14 - -3 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 8*r**2 - 13*r**2)*(15477 - 15477 + 159*r) - 3*r + 2*r - r**3 - r.\nAnswer: -2863*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51122178 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.17 equal to 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*u = -11, 3*n - 7 = 3*u - u. Calculate the common denominator of -15\/7 and n\/((-300)\/62 + 5).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + 10320?\nAnswer: 10300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.084, -2, 35, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 432 + -667. Let v = 235.3 + o. Let k = 6.4 - 7. What is the smallest value in k, -2\/13, 2\/11, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 57*q**3 - 11*q + 5. Let t(x) = 28*x**3 - 5*x + 2. What is 2*a(k) - 5*t(k)?\nAnswer: -26*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**33)**(-29) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itpc when four letters picked without replacement from cciicpctdpcgpggddcgd?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 1\/3*z**3 + 20 - 1\/2*z**2 - 4*z. Determine t(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -23. Let j = 24.9 + b. Let d = 4 + -9. What is the biggest value in d, j, -7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**3 - 14*x**2 + 6. Let n(d) = -10*d**3 + 41*d**2 - 17. What is -6*n(o) - 17*z(o)?\nAnswer: -8*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022179093 to 5 decimal places.\nAnswer: 0.00222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgezxgbzgexgzr. What is prob of sequence exrb?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -a - 4, -a - 6 = 428*k - 862*k + 431*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -616*h**2 + 304*h**2 + 312*h**2 + 2*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - 73. Suppose -y - s + 4 = l, 2*y - 4 + 3 = 5*s. Solve -8 = 2*b + 5*i, -b - 2*b - 3*i - y = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 14*i**3 - 19*i**2 + 23*i + 17. Let n(u) = u**2 + 2*u. Let r(f) = -2*n(f) - s(f). Let l(g) = -5*g**3 + 6*g**2 - 9*g - 6. What is -17*l(a) + 6*r(a)?\nAnswer: a**3 - 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3286500 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(52) + -1 + 4)**2.\nAnswer: -183 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 5. Let b be (w\/(-10))\/(-2 + 56\/30). Suppose b*y + 2 = 8. Solve 2*n - 5 = y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 462471640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8*s + 11*s - 424 = 0. What is the highest common factor of 1908 and s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 8)*(u + 3*u - 3*u)*(-u**3 + 3 - 3 + (5 - 5 + 3*u**2)*(u + 5*u - 4*u)).\nAnswer: 25*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**4\/4 - 7*w**3\/3 + 7*w**2\/2 - 13*w - 1919. What is p(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*u - 4, 2*l + u = 6*l + 25. Let a(s) be the second derivative of -s**5\/20 - 5*s**4\/12 + s**3\/2 + 3*s**2\/2 - 2*s. Is a(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*x + 80*x = -146*x + 13104 for x.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -3 - ((-18)\/(-4) + 7310\/(-1156))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*v**4 - 123 + 123 + (-5*v**3 + v**3 + 3*v**3)*(1 + 2*v - 1) + 0*v**2 - v**4 + 0*v**2 + v**4 - 3*v**4 + 0*v**4.\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 12:16 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26417522 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19613184 divided by 6537728.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -304 - 7*n + 7*n + 0*n + n - 4*n in the form q*n + o and give o.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - 30*q**3 - 40*q**3 + 70*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*t**3 - 74*t**3 + 102*t**3)*(10 - 58 - 71 - 103).\nAnswer: -21534*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c353b6 (base 13) in base 8?\nAnswer: -43617501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -101000101111001 (base 2) to base 8\nAnswer: -50571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1, -0.7, -3, -207, -4, 0.3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17611269913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19588336 divided by 9794168.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/138 and (-3196)\/170*5\/12.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2814 + 2818. Solve -3*i + 5*k + 6 = 3*k, -2*i + 3*k + m = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 10*l - 1. Determine r(9).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 513\/(-5700)*-40*2\/3?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -16\/3*f - 32\/9*f**3 + 5\/12*f**4 + 46 + 26\/3*f**2. Factor o(m).\nAnswer: (m - 4)*(m - 2)*(5*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/7 + 456*d\/7 - 454\/7 = 0.\nAnswer: 1, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101371?\nAnswer: 17, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 0, 2\/19, -0.61, 6\/13, 6\/5 in decreasing order.\nAnswer: 6\/5, 6\/13, 1\/9, 2\/19, 0, -0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 307827 and 0.5.\nAnswer: 153913.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 d when four letters picked without replacement from sssdssssdsds?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(133)*-1)\/sqrt(7)*-4.\nAnswer: -4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 = j, -j + 4*y + 1 = -1. Solve j*q = -q - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37*-0.267\nAnswer: -9.879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**3 + 3*m**2 - 3*m - 13. List the prime factors of h(4).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/(80*(-2)\/3000)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -429691 (base 11) in base 10?\nAnswer: -686291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 40) + (25 - -2) + (-27 - -5) + -4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -160.47 - 2386\nAnswer: -2546.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 43*i**2 - 164*i - 12. What is the least common multiple of y(4) and 66?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6281*c + 226103. Calculate r(36).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52950.\nAnswer: 2, 3, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5853, -11707, -17561, -23415, -29269?\nAnswer: -35123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89331384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-7)*(2136\/60 - 35).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q. Let d be r(3). Let z = 27 - 15. Suppose -4*i + z = -d*i. Calculate the highest common divisor of 96 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1236, 4884, 10944, 19416, 30300, 43596, 59304?\nAnswer: 77424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1994\/15 - -400\/3. Which is the second smallest value? (a) -1\/3 (b) i (c) 0.052\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = d - 30 - 16, -5*d = -5*m + 4*m - 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -30 in ascending order.\nAnswer: -30, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14807, 14346, 13887, 13430, 12975?\nAnswer: 12522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 6 = 2*g + 3*h, -3*h - 21 = -3*g. Suppose -66 + 26 = -4*o. Suppose s + u + 1 = 7, -g*u + o = -5*s. What is the remainder when s is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**2*m**3 - 11*g**2*m**2 - 45*g*m**3 + m**2 wrt g.\nAnswer: -6*m**3 - 22*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (86\/(-14) + 7)*(-7)\/(-2). Let f = 7 + -13. Is (674\/f)\/(r\/(-9)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -252 + 123. Let h = n - -129. Solve 17 = 5*r + 7, -2*d + 3*r - 16 = h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/35 + 1004\/(-14). Calculate the remainder when 9 is divided by (1\/3)\/((-4)\/s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 5)*(-7 - 13*m + 0*m + 8)*(-1 + 2 - 5)*(-2*m**3 + 3*m - 3*m) to b*m**2 + v + u*m**3 + x*m**4 + k*m and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 5. Let i be -19 + 6\/10 + (-3)\/5. Let c = -21 - i. Are o and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/((-36)\/161) + (-3)\/9 and -32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.678 - 5?\nAnswer: 138.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 957857344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 130 = 2*m, 4*y = y + 3*m + 183. Suppose 0 = -29*a + 22*a + 91. What is the remainder when y is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1245 and -33\/145.\nAnswer: 36105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1776*b - 7060. Give r(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 0*q + 0*q**4 + 0*q**5 - 4\/3*q**6 + 1 + 8\/3*q**3 + 0*q**2. What is the third derivative of l(f) wrt f?\nAnswer: -480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/10697320 and 37\/40649816.\nAnswer: 203249080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, e: 2, f: 4, r: 1, v: 1}. What is prob of sequence evc?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41186 < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3 - 3 + 3 + 9*b + 3 - b**2. Let q be f(9). Suppose 48 = 4*v - 3*c, v - 3*c - q = -3. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/20)\/(0 + (-1)\/(-12)). Let b = 1043 + -986. Put b, 0.3, a in descending order.\nAnswer: b, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28891 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (3 + (5 - -5 - -4) - -1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-72)*-30*(-6)\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 1:22 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187 - 5*o**3 + 93 + 94.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -107*j**6\/60 + 97*j**3\/6 + 129*j**2 - 45*j + 3. Let a(w) be the first derivative of f(w). Differentiate a(i) wrt i.\nAnswer: -642*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 3:22 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 1:27 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 645587206 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/237698?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjdynvv. What is prob of picking 2 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45130 plus 5?\nAnswer: 45135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68400.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6832, 6811, 6770, 6703, 6604?\n\"Answer: -t**3 - 4*t**2 - 2*t + 6839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 371920 and 274880?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/8? (a) -0.2 (b) 41 (c) -5\/2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96217682749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 0*a**3 + 4*a**3)*(a - 3*a + 4*a) - 172*a**3 - 182*a**3 + 356*a**3 - 3*a**4.\nAnswer: a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**3 - y**3 + 2*y**3)*(2*y + 7*y - 4*y - 3) in the form o*y**2 + g*y + p*y**3 + s*y**4 + w and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2146*d**3 - 10*d - 2344. Let u(n) = -6439*n**3 + 35*n + 7031. Let m(q) = -7*p(q) - 2*u(q). Differentiate m(t) with respect to t.\nAnswer: -6432*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.3. Let i = 0.06 - -0.05. Let l = i + 0.19. Sort -4, r, l.\nAnswer: -4, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 1.9923?\nAnswer: 0.99615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 7*x**2 - 2. Let l be z(-5). Suppose -2*q = 0, -68 - 34 = -2*s - q. Which is bigger: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = -0*u + 40. Let s be (1 - 4)*(15\/27)\/u. Let a = s - -7\/18. Calculate the common denominator of 23\/100 and a.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i. Let a(w) = 21*w**2 - 16*w + 13. Let p(x) = -23*x**2 + 19*x - 14. Let n(c) = 5*a(c) + 4*p(c). Give f(n(d)).\nAnswer: 13*d**2 - 4*d + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 + 47*q**2 - 22*q - 51. Let n be t(23). What is the common denominator of 10*(-5)\/((-5720)\/n) and -37\/130?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167200335?\nAnswer: 3, 5, 1238521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wywtyywyymmyymyyym. Give prob of picking 1 y and 2 m.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1240)\/(-1488)*6\/(-4)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*i + 15*i + 871 - 89 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 13*t**2 + 36*t + 2. Let p be w(9). Let g = -8 + 12. Solve p*n = -2*n + g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4 - (9\/(-2) + 4). Let z be 4\/c + (1 - (0 - -2)). Let t = 0.02 + 0.18. Sort z, t, 1\/2 in decreasing order.\nAnswer: z, 1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3 + -4 + 9)*(-178)\/(-96) and -39\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*t = -12104, 1232 + 2798 = b + t. Calculate the remainder when b is divided by 192.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12707 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -177, 3, -6646?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 10 = -3*h + 20*u, -4*h + 16 = -4*u. Solve 3*f - h = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2540*o + 1. Let x be v(1). Let y = -10073\/4 + x. What is the common denominator of y and -15\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1021121010 (base 3) to base 7\nAnswer: 133350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 6 - ((1 - 5) + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1303*t**2 - 77*t + 156. Is y(2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 267 (base 13) to base 12\nAnswer: 2b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -16 - ((2 - (-2 - 6)) + -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 3, o: 1, q: 1, t: 2, d: 3, v: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10895330 a multiple of 1270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*h - 77, 2*u - 3*u + 3 = 0. Let t be (-4)\/(-6) - (-21)\/9. Let y = 5 + t. Calculate the highest common factor of h and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2952?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92099*b**2*c - 2*b**2 - 6*b*c - 25589*b wrt b?\nAnswer: -184198*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 24*h**2 - 5*h + 5. Let w be o(2). Let s be ((-36)\/21)\/((-2)\/w). Suppose 3*j = 6*j - s. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105345176?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -29*k. Let g(v) = -44*v + 9. Let h(c) = 7258*c - 1482. Let d(p) = -988*g(p) - 6*h(p). What is d(o(q))?\nAnswer: 2204*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6086499?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38683264 is divided by 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 148851887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - d - 1)*(4 - 4 - 2*d) + 3*d - d**2 - 3*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33\/20, -158, 1\/4, -0.5 in decreasing order.\nAnswer: 1\/4, -0.5, -33\/20, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z + 7. Give f(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 10137, 0, -7\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 913*n + 4*m - 12 - 8 = 918*n, 0 = 48*n - 5*m + 192 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17571*g + 19 = 17568*g - 4*j, 5*g - 101*j = 722 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (-6 - 0)) + (-26 - -25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19012968 and 432?\nAnswer: 38025936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 35)\/(-1 + 2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*s*w**5 - 1598770*s*w + 2*s + 66739*w**5 - 2*w wrt w.\nAnswer: -1420*s*w**3 + 1334780*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(400)*1 + sqrt(4)).\nAnswer: sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 36921 and 3005765485.\nAnswer: 3005802406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34272341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 6*k - 28. Let j be x(-9). What is the fourth smallest value in j, -6, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from yvhvvvvvyv?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 9*g + 40. Let w be n(-12). Suppose 0 = 2*r + 3*r + b - 16, 2*r = -w*b - 8. Solve 3*p - 2*c + 10 = -r, 15 = -5*p - 5*c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 4)*(-1 + 6 + 0)*(-a**2 + 4*a - 2*a + 0*a**2) in the form o*a**2 + j + g*a and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88206 = 274*b - 255*b - 102592. Is b a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42813 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/25)\/(-2)*10. Let d(j) = 2*j. Suppose 1 = -2*x + x. Let q be d(x). What is the biggest value in h, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -9455710?\nAnswer: -9455713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 4*s + 0 = -4, -4*l = 5*s + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (137*x - 295*x - 21 + 149*x)*(1 + 2*x - 1)*((3 - 1 - 3)*(-7 + 7 + 6) + (2 + 0 + 0)*(4 - 4 - 2)) to the form t*x + f*x**2 + w and give f.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5184, 5214, 5208, 5166, 5088, 4974, 4824?\n\"Answer: -18*n**2 + 84*n + 5118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -140 in 199\/26, 1.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19\/((-76)\/(-80)) - 8. What is the highest common divisor of 132 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54 and 1839.\nAnswer: 99306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3. Let o(t) = -t**3. Suppose 55 = 5*z + 5*v, -2*z + 4*v + 47 = v. Suppose 3*n = -0*n + p - 13, p - z = 4*n. Determine n*f(s) + 5*o(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*z + 59 = 0, 4*o = 42*z - 41*z - 63. Let c(n) = n**2 + 12*n - 31. Give c(o).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 1)*27*(-5)\/(-135). Let q(w) = w**3 + 10*w**2 - 3*w - 8. Let r be q(-10). Let k = r - 18. Put -4, 2, s, k in decreasing order.\nAnswer: k, 2, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i = 52*i - 355 + 866 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -187*v**3 + 94*v**3 + 847*v**3 + (2*v + v - v)*(3*v**2 - 1 + 1)*(-3 + 0 + 4) + 3*v**3 - 6*v**3 + v**3.\nAnswer: 758*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5*q = 5, -h - 2*q + 19 = -5*q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - -11. Suppose 366 = -760*k + 547*k + 566 + 1717. What is the remainder when g is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 12*w**2 - 2*w - 6. Calculate u(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4028 - -0.0278. Let f = c - -0.875. Let g be -1 - -2*2\/(-4). What is the nearest to 2\/3 in g, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 2*k + 8. Let b(j) = 2*j - 3. Let h be b(k). Solve -h = -c + 4*o, 0*o + 4*o + 16 = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 49, 1\/427, 0.09 in descending order.\nAnswer: 49, 5, 0.09, 1\/427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1045212 < -1045212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 296*v*w**3 + 116*v*w**2 + 1627*v*w + v - 276721*w**3 - 2*w**2 + 72*w wrt w?\nAnswer: 1776*v - 1660326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1057 = 4*i - 5*m, 0 = -25*m + 26*m + 5. Calculate the lowest common multiple of i and 6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -704, -852, -1000, -1148, -1296?\n\"Answer: -148*k - 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1779\/80033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -49568*l**2. Let w(s) = -38*s. Determine w(p(a)).\nAnswer: 1883584*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14392 and 0.05.\nAnswer: 719.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 495794901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2931.65 less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 118760 (base 9) in base 14?\nAnswer: 1c395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 177107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*n + 546*n - 28575 = -1169*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -5 (c) 4 (d) -0.2 (e) -1\/258\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -305053, -305033, -304991, -304921, -304817?\n\"Answer: p**3 + 5*p**2 - 2*p - 305057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 12 - 25 + 20*j + 13. Let g(t) = t**2. Give g(f(v)).\nAnswer: 400*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/3, 2, 0.7273?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -151 (base 15) to base 12\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 73. Let y = d + -82. Let r = y + 70. What is the greatest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 196550796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 112 + 24 = 0. Let o(y) = y**3 - 7*y**2 - 7*y + 8. Give o(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -135094578*r**4*s - 1734*r**2 - 16*r*s + 20*r + 6*s wrt r.\nAnswer: -3242269872*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q + 2. Suppose -x - 2*w + 2 = 0, 33*x - 4*w = 38*x - 28. Let z(m) be the second derivative of 5*m**3\/3 + 3*m**2 - m. What is x*a(o) - 3*z(o)?\nAnswer: -6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmmxhmhmhmmm. Give prob of sequence hm.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80\/42*((-28475)\/(-1660) + -7). Let t be 3\/14*16\/498. Let x = y - t. Find the common denominator of x and 22\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6470.636 weeks to minutes.\nAnswer: 65224010.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 less than 2584399085044?\nAnswer: 2584399085022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/23156592 and -23\/61750912.\nAnswer: 185252736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 9*w + 9*w + 2)*(1 + 2 - 4 + 4 - 2 - 4 + (2 - 3 + 2)*(1 + 2 - 4) - 5 + 3 + 3 - 4 + 5 + 0).\nAnswer: 2*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 116.6 and -61.\nAnswer: 55.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 803997071 - 803997071.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/(-6)*(-24)\/(-16). Is c\/55 + 647\/11 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2 - 11*z - 26. Let v(u) = -3*u**2 - 10*u - 22. Let k(h) = -4*m(h) + 5*v(h). Calculate k(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**5 + 5*v**5 - 4*v**5 + (-2*v**2 + v**2 + 2*v**2)*(2*v**3 - 3*v + 3*v) - 30*v**3 + 30*v**3 + v**5.\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 665 = 5*q. Let s = -65 - -4. Let r = s - q. Does 23 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 58 = 4*g, 3*f - 9 + 3 = 0. Let i = g + -8. Suppose 0 = 4*z + z - 10. What is the highest common divisor of z and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -47, 22, 119?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 21. Find the common denominator of 10\/b*(-289)\/34 and (-114)\/8*(-28)\/(-18).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - -10) + -4 + (-10)\/(-2). Solve -m*x + u = -12, -5*u + 11 = -2*x - 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 6. Suppose 4 = -21*v + 20*v. Suppose -4*c = -c + m + 6, 5*c - 2*m = -21. Sort c, v, n in descending order.\nAnswer: n, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o - 64. Let n = -3 + o. What is the highest common factor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 25, -125*y + 254*y - 130*y - p = -7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q + 6494 - 3276 + 14*q**2 - 3218.\nAnswer: 14*q**2 - 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 22*s - 26. Suppose 8 = 2*p, -d + 4*p + 9 = 3*p. Suppose k + d + 6 = 0. What are the prime factors of i(k)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.3 - 6.29999523. What is j rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92339.\nAnswer: 13, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/41)\/i**12*i\/i**6*(i*i**13)\/i assuming i is positive.\nAnswer: i**(-162\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363820333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 302, 1186, 2662, 4736, 7414?\nAnswer: 10702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-15) + 24\/30. Let u be (-330)\/(-280) - (2\/(-8) + 1). What is the closest to -1 in u, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**6\/72 + 5*f**5\/12 + 85*f**3\/3 + 88*f. Let i(a) be the second derivative of g(a). Solve i(j) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 26, 4, -60, -184, -386, -684, -1096?\nAnswer: -1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 98.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 582*g**2 + 12654*g + 43254.\nAnswer: 2*(g - 267)*(g - 27)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -i + 4*q, 151 = 18*i - 13*i - 4*q. Let p = -117 + 194. Calculate the remainder when p is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 7:32 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 1832691?\nAnswer: 1832691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31241347, 62482699, 93724059, 124965433, 156206827, 187448247, 218689699?\nAnswer: 249931189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41749*l**3 - 41758*l**3 + 83505*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1340 - -1342. Solve -2*s + 21 = x + 2*s, x - 11 = -w*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/2 - 7\/(-14). Suppose 4*y - 1 = u. Let a be (y\/(-2))\/((-7)\/(-14)). Is -1 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 6)*(-f + 1 - 1) + 20 - 2 + 5 - f)*(-f - 2 + 2).\nAnswer: -f**2 - 23*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (12\/2)\/(-3)) + 2. Let q(g) = -g**3 - 12*g**2 + 15*g + 10. Let w(i) = 7*i**2 - 8*i - 5. Let y(t) = s*w(t) + 3*q(t). Is y(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-13 - -8)) + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 717 - -270?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(343) + sqrt(7)).\nAnswer: 1 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2283, 9193, 20717, 36855, 57607, 82973?\nAnswer: 112953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*y + 18 + 93 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 442043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (172 - 168) + (0 - 2 - -13)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-30)\/(-51))\/(-5) - 448\/(-1496). What is the nearest to -6 in 10, 0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 365618659?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25231 less than -550560.3?\nAnswer: -575791.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.494011 millimeters?\nAnswer: 0.9494011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250720432 to the nearest integer?\nAnswer: 15834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*u = -70*u - 160 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -382 and 0.5.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -748009021+0.08\nAnswer: -748009020.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 507469?\nAnswer: -507465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-3)*(459\/(-6) + -3).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 3 (c) 0.4 (d) 18\/23 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 67 - 97. Solve 4*c + 5*v + 3 + u = 0, 3*c - 5 = -v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 6. Let p be 2\/l + (-7)\/(-14). Solve -t + 4*t + 9 = p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.126576 + -2.\nAnswer: -2.126576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5567726?\nAnswer: 2, 43, 101, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 5, 0.2, 13.43, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 37516\nAnswer: -262612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1\/5, 3, -35.53 in descending order.\nAnswer: 8, 3, 1\/5, -35.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -178, -266?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.048 (b) 2\/25 (c) -4 (d) -0.072\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138)\/(-72) - 2\/8.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/1)\/((-20)\/(-20)). Suppose h*o - 282 = -2*o. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**6\/120 - d**5\/15 - d**4\/8 - 2*d**3\/3 - d**2. Let y = -1827 + 1823. Determine j(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1023247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*4\/56*(-2)\/((-6)\/(-3)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1345.005216 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/100)\/(-10 - 1122\/(-110))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 13. What is j(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 4*x**2 + 4*x + 1. Calculate t(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147028 - -147027.937263. Let p = 1.151597 + y. Let a = -1.09 + p. Round a to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.029 times 0.01\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11555522 by 4.\nAnswer: -5777761\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/11800216 and -53\/608.\nAnswer: 47200864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6818093 to the nearest integer?\nAnswer: 2611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/5 + 3740*r + 41747088\/5.\nAnswer: 2*(r + 3684)*(r + 5666)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 158, 178, 198?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2 - 29*n + 1. Let y(z) = -4*z**2 - 43*z + 1. Let k(c) = 7*j(c) - 5*y(c). Let w be k(9). List the prime factors of 9*(w\/9 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*425\/476*-8*(-1)\/(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/424 and 25\/14?\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**8\/t**(-8\/5))\/(t**16)**(-7))**(-2\/61) assuming t is positive.\nAnswer: t**(-1216\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21165, 21172, 21183, 21198, 21217, 21240?\n\"Answer: 2*a**2 + a + 21162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769386.\nAnswer: 2, 3, 17, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmp when three letters picked without replacement from mfmfffpmpmp.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69116 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1578)\/(-263))\/(6\/20) - -10?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 107\/(-15) - (-15)\/((-2025)\/(-18))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-4)*4\/6. Suppose 0*r + 4*p = r - 2, 0 = -j*p + 12. Calculate the remainder when 87 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12000 (base 3) to base 2\nAnswer: 10000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhmhhm. What is prob of picking 2 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2753, -2888, -2967, -2984, -2933?\nAnswer: -2808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41, 11, 105, 247, 443?\n\"Answer: w**3 + 15*w**2 - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -302 + 2?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8363269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**5\/4 - 28091*u**4\/2 - 6587101*u**3\/4 + 3321641*u**2\/2 = 0.\nAnswer: -118, 0, 1, 56299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -197413.879 rounded to the nearest one hundred?\nAnswer: -197400","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12098 + 3486 - 7*c**2 + 4*c**2 + 4*c - 3*c.\nAnswer: -3*c**2 + c + 15584","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 c, 1 r, and 1 y when four letters picked without replacement from rrcrrrphy?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 675055?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -4 - 1)*4. Let t be (-10)\/w*(6 + -2). Solve 3*c = -t - 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = t - 10776, -2*t - 2*y + 19152 + 2436 = 0. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-790)\/(-14) + (360\/(-70))\/12. What is the remainder when (163\/7)\/(8\/s) is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a + 10 = 2*g, -8 = -4*a - 4*g. Calculate the remainder when (6\/8)\/(a\/312) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/136 - -139\/408. Let c(t) be the second derivative of 0 + 3\/2*t**2 + 0*t**3 - 3*t - a*t**4. What is the derivative of c(b) wrt b?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -29\/11?\nAnswer: -29\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*g**2 - 14*g**2 + 3*g**2)*(-84 + 48 + 61*g + 28) as p + t*g**3 + o*g + i*g**2 and give i.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -140554 (base 14) to base 12\nAnswer: -29493a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-8)\/4)*(-1)\/7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4 - (0 - 5)) + 1)\/((-58)\/(-32228657)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6830 and 6830.\nAnswer: 6830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16879991 = v - 3*u, -624*v + 621*v - 3*u - 50640009 = 0. Round v to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3389894291 to the nearest integer?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7893298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375 a factor of 1187760750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*(-2)\/(-7))\/((-2)\/70). Let i(h) = -h**3 + 8*h**2 + 15*h + 46. Calculate i(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 8*t**2 + 125*t + 142. Let u be k(-7). Let q = 5 + -9. Which is the third smallest value? (a) q (b) u (c) 0.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/5, -5, -3, 1080, -0.5, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2765*z - 413. Is 14 a factor of p(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9428 and 4.\nAnswer: -37712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6479, 25932, 58355, 103748, 162111, 233444, 317747?\nAnswer: 415020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -4\/3 (c) 1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (34 + (-7 - -9) - -7) + -5\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3 = -5*a, 13 = -4*a + c + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 73*d - 78*d + 85290, -3*d = -4*z + 68190. Is z a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 - 139. Let z = 101 + j. Suppose 4*d = -i + z, 3*d + 22 = 5*d + i. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*s + 2*s. Let h be 3\/s - (-3)\/(-6). Sort 3, 4, h in decreasing order.\nAnswer: 4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 55?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvs when four letters picked without replacement from {i: 4, s: 2, z: 3, q: 1, v: 6}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4 - 16 - 9*j + 1. What are the prime factors of o(-13)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*t - 19 - 6, -3*t - 10 = -2*c. Suppose 10*m = c*m + 55. Let z = m + -6. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1557, 3023, 4469, 5883, 7253, 8567, 9813, 10979?\n\"Answer: -2*d**3 + 2*d**2 + 1474*d + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/11 + 500*c**4\/11 + 3600*c**3\/11 - 500*c**2\/11 - 3598*c\/11 = 0. Calculate c.\nAnswer: -7, -1, 0, 1, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 53 - 27 - 22 + (-4 + 4 - 1)*(-v - 2 + 2).\nAnswer: -v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4075688 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 45988?\nAnswer: 45987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - r, -4*r - 79 = -59 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + -144412?\nAnswer: -144321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33.9 - -33.899999477. Round s to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) -3.85 (b) 2\/7 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - -3*sqrt(704)*-2) + (sqrt(704)*1 - sqrt(704))*-3 + sqrt(704) + -1 + (sqrt(704) - (1 + sqrt(704))) + 1 + 4 + 1.\nAnswer: -32*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, a: 2, p: 1, c: 1, e: 2, d: 2}. Give prob of picking 2 a and 1 d.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*y - 2 - 2*y**2 + 10*y + (2*y - 2*y + 2*y)*(-5*y + 2*y + y).\nAnswer: -6*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/1 - 5*-1. Let d be (-177)\/837 + (-2)\/u. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208248899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 25 - (-9 + (4 + -20 - -16))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0.04, 1, -1\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*s - 10*s**2 + 66*s**3 + 10*s**2 - 29*s**3 + 5*s**4 - 33*s**3 to the form t + j*s**3 + w*s**4 + g*s + p*s**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 < 201\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + (-20 - (-25 - -13)) - -3) + 115\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1013*p**2 - 12*p - 3. Let o(w) = -683775*w**2 - 8104*w - 2026. Give -2026*j(r) + 3*o(r).\nAnswer: 1013*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 269385 by -689.\nAnswer: -269385\/689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2720*b + 3954*b - 3929*b in the form g*b + i and give g.\nAnswer: 2745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(5472) + sqrt(5472)))\/(sqrt(16)\/(sqrt(8) - sqrt(968)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 5)*(-16)\/20 - 16. Let k = w + 131. Let o = 182 - k. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(272) - sqrt(272)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118613271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z + 18. Let b(v) = -24*v - 89. Let x(w) = 2*b(w) + 11*t(w). What is the first derivative of x(o) wrt o?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 16. Solve -u*b - 12 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Let r = -111 + 54. Let w = r - -57.1. What is the second smallest value in j, w, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-29)))\/o*o**(-1\/15))\/(o**(-5)\/o**(1\/22)))**(-5\/4) assuming o is positive.\nAnswer: o**(-10883\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -0.3. Let z be (-2)\/(3\/(-3)) - 73. Let t = -425\/6 - z. What is the biggest value in j, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 239*g**2. Let q(t) = -2*t + 8778. Give q(b(p)).\nAnswer: -478*p**2 + 8778","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33570 is divided by 5565.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197865 a multiple of 989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 21*d + 3 + 8 to z*d + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5 = i, -9*x + i + 9 = -6*x. Let a(n) = n**3 - 4. Let t be a(x). Find the third derivative of -20*j**2 + 10*j**4 + 12*j**2 + 2*j**t wrt j.\nAnswer: 288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 41, 3 in increasing order.\nAnswer: -5, 1, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0. Let w = d + 0.5. Let t = 11 + -7. Which is the nearest to w? (a) t (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2398*k - 1206. Is w(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2 - 46492*g - 139494 = 0. Calculate g.\nAnswer: -3, 23249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**4 - 60*d**3 - 80*d**2 + 240*d + 400 = 0.\nAnswer: -10, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12912 by 16.\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 - 8*s + 16. What is n(5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19623*r**2 - 10815 with respect to r.\nAnswer: 39246*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmukuuuuupgugmu. Give prob of picking 1 p, 1 g, and 1 k.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 45*o**3 + 7*o**2 - 26*o + 9. Let l be k(6). Calculate the greatest common factor of 75 and l.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1044020 - -41524. Let a = 1002496.05199745 + t. Let x = -0.052 + a. What is x rounded to seven dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/31836 and -29\/650?\nAnswer: 10346700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 97. Let w(z) = 3*z - 193. Let s(m) = -5*f(m) + 2*w(m). Let k be s(0). Suppose 2*n - k = -3*h, 4*h - 146 = -3*n - 0*h. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b. Let r(q) be the second derivative of q**3\/3 - 2*q. Calculate r(k(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 565161266 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1301*d - 1954*d - 17 + 893*d + 17.\nAnswer: -2362*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = 21*r + 30, -3*x = -5*r + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-25)\/10*(5 + -1) - -5. Calculate the remainder when (u - (-177)\/11)*11 is divided by 60.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 428890 and 4015970?\nAnswer: 44175670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 4*q**2 - q - 2. Let r = 30 + -28. Suppose f = r + 2. What is u(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7024911 divided by -3?\nAnswer: -2341637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v = 95 - 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1\/22441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2430 and 1556655?\nAnswer: 252178110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 19*t**2 - 38*t + 91. Is y(38) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35\/408 - 2\/51. Let w = -0.49 - -0.79. What is the closest to -1 in 2\/17, y, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 3*d**5\/20 + d**4\/2 - 6*d. What is the third derivative of j(b) wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -390, -1, 1\/7.\nAnswer: -390, -5, -1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxg when three letters picked without replacement from {g: 4, s: 6, x: 5, c: 5}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, 1, 46, 2, 5 in descending order.\nAnswer: 46, 17, 5, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 35*d + 14. Suppose 21*t - 22*t + 17 = 0. Let u(q) = -12*q - 5. Give t*u(c) + 6*s(c).\nAnswer: 6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4, -5, -3, 19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*w = 5*n + 48*w - 4524, 5*n = -5*w + 4530. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g - 4. Let w(x) = 11*x - 7. Calculate 5*n(d) - 3*w(d).\nAnswer: -8*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-99))\/(324\/1458)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 25 + 17*j - 6*j. Is i(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10552200 + -4?\nAnswer: 10552152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -524.4*0.07\nAnswer: -36.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57516 or -115029\/2?\nAnswer: -115029\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10122 - 4?\nAnswer: -10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 4*z**2 - 2*z - 1. Suppose 113 = 9*i + 5. What is the remainder when i is divided by f(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*i - 12*i + 2000. Suppose -i*y - 2733 = -83*y. Is y a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3538*a - 7056*a + 3526*a - 6.\nAnswer: 8*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*d - 157. Let p = d + 783\/5. Which is the closest to 66? (a) 0 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/1*(-1)\/(-133). Let g be (1 - 0) + (-226)\/266. Let t = g + r. Is t at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3167*u + 291406. Let c be l(92). Let n be (0 - (1 + -12))*4. Is c greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -30334?\nAnswer: -30321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1749.9354 months?\nAnswer: 0.14582795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 164, -5, 49, -80, -4 in ascending order.\nAnswer: -80, -5, -4, 49, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-14 - -2)\/6). Let z(a) be the third derivative of 0*a + 1\/420*a**6 - 1\/70*a**5 + n*a**3 + 0*a**4 + a**2 + 0. Find u, given that z(u) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 + 3*g**2 + 19 + 11 - 40 + 20. Suppose 6*h + 46 = -14. Let w(c) = -2*c**2 - 3. Calculate h*w(z) - 3*o(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*p + 65*p + 3194 = -663. Let t(y) = y + 10. Give t(p).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11518782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*l - 9 = 20, -l + 13 = -3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -3 + 1\/2*q**4 + 2*q**2 + 0*q**3 + 0*q. What is the second derivative of b(o) wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2\/9 + 83396*p\/3 = 0.\nAnswer: 0, 125094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10 - -6)\/(-4) + -1*1. Let j = 4140\/13 - 318. Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 + 2*b**2 + b + 4. Suppose 0 = 2*l - 8 + 78. Let v be (0 - -1)\/((-7)\/l). Let k(h) = 3*h**3 - 2*h**2 - h - 5. Calculate v*t(i) + 4*k(i).\nAnswer: 2*i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4655293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let v(i) = 2*i. Let h(x) = -7*j(x) + 3*v(x). Let u(z) = z**2 + 6*z + 2. Determine 4*h(l) + u(l).\nAnswer: l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-2\/15))\/h*h)\/(h*h*h**1)*(h*h*(h\/h**(2\/33))\/h*h)\/h*h*h\/h**0 assuming h is positive.\nAnswer: h**(463\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39924 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-4)\/6) - 37\/(-74). Let y(p) = 9*p**3 - p**2 - 2*p - 1. What is y(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -521.8 - 0.5?\nAnswer: -522.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -25, -111, -283, -571, -1005?\nAnswer: -1615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 + 12 - 51) + 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*a - 1565068 = 31*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 6. Let g(z) = -z. Let m(r) = r. Let w be m(6). Let x(b) = w*g(b) + d(b). Does 10 divide x(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*k = -141*k - 390. What is the highest common factor of 24 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.190375\nAnswer: 0.571125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6082036196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -5*g**6\/18 - 17*g**5\/6 + 115*g**4\/9 - 155*g**3\/9 + 15*g**2\/2 - 41*g. Let u(n) = 0. Calculate n.\nAnswer: -9, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 - 48. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**2 + 2*i - 2*i)*(-29 + 43*i + 29) - i**3 - 2*i + 2*i to the form a*i**2 + l*i**3 + v + m*i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 12. Let r be (-4)\/(-24)*k*(-9)\/(-6). Let s = 6 - r. Solve 0*d + 8 = -s*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y**5 + 280*y**4 + 167*y**3 - 280*y**2 - 156*y = 0. What is y?\nAnswer: -1, -6\/11, 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 23*n**2 + 7*n - 58. Let q be w(8). What is the common denominator of 47\/6 and (-12)\/(-20) - 597\/q?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 60 (b) 0.01 (c) 5 (d) -4 (e) -1\/17 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69*m**3*w**2 - 5*m**3 + w**2 + w + 2588 wrt m?\nAnswer: -207*m**2*w**2 - 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 47306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = z - 5, 4*z + 4*a - 5*a = -18. Let d(g) = 4*g - 17. Let q be d(4). Let o be q\/((2 - -4)\/24). Sort -3, o, z in increasing order.\nAnswer: z, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 4*q - 2*q)*(-40*q + 13*q**2 - 67*q + q**4 + 133*q).\nAnswer: -3*q**5 - 39*q**3 - 78*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3)*3 - sqrt(7))**2 + sqrt(14)\/sqrt(2) + 5 - (-1*sqrt(343) - (sqrt(112)*2 + sqrt(112) - sqrt(112)))**2.\nAnswer: -1542 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*z - 10, 8*m - 9*m + 6 = -4*z. Let c(u) = -82*u**2 - 5. Let y(x) = 328*x**2 + 21. Let q(s) = m*y(s) + 9*c(s). Let n(t) = -t**2. Give n(q(f)).\nAnswer: -6724*f**4 - 492*f**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -18*w**2. Let f(i) = 382*i. What is f(k(g))?\nAnswer: -6876*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from {b: 3, w: 15}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 + 207. What is the remainder when h is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 35 - 13. Let h be (((-19455)\/20)\/3)\/((-2)\/x). Suppose 7*i - 1950 = 4*i - 3*f, 2*f - h = -4*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 1. Let c be 3*(32\/6)\/(-4). Let i be j(c). Solve 0*u + i*u - 15 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 102*t**2 + 9*t - 25. Is s(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39, 68, 87, 90, 71, 24, -57, -178?\n\"Answer: -y**3 + y**2 + 33*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 + 9*x - 4. Calculate u(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 10*v**2 + 1. Suppose -1640 = 251*h + 765 + 105. Calculate q(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybbb when four letters picked without replacement from {w: 2, y: 10, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + 0*a**2 - 4*a**2 + (-3*a - 3 + 3)*(-a + 3*a - a) - 2 - a**2 + 2 + (-3*a - 2*a + 4*a)*(-3 + a + 3).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 270 = -6*v. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r**2 - r + 1. Determine m(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.672 and 23?\nAnswer: 84.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -485, -4112, -14031, -33398, -65369, -113100, -179747, -268466?\n\"Answer: -526*a**3 + 10*a**2 + 25*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1088441671 rounded to 5 dps?\nAnswer: -0.10884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2308074868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2256 - -439. Which is greater: -1820 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29.135 * 15\nAnswer: 437.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-138 + 142)*6\/8. Solve h*c - 19 = 2*o, -c = 2*o + 2*c + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 165, 0, -230?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1371\/(-37) - (122\/(-7) + 18)*(-7)\/74.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/144 and -37\/252.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -362746296*d**5 - 66813*d + 437 wrt d.\nAnswer: -7254925920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255407?\nAnswer: 3, 31, 13499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5203 + -5202. Let t = -4 + 22. Sort z, t, -2 in increasing order.\nAnswer: -2, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2 + 27*-1)*3)\/1. Let h = u - -3. Let d = 89 + h. Which is the closest to -1? (a) 0.3 (b) 2\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23405673 is divided by 5235.\nAnswer: 5223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -9*n**3 - 5*n**2 - 5*n + 5. Let l(t) = 5*t**3 + 2*t**2 + 2*t - 2. Determine 2*b(q) + 5*l(q).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14826 = 4*j + 2*y, -230 = 2*j - 5*y - 7637. Is j a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 22.6, 2\/121, -3\/5 in increasing order.\nAnswer: -5, -3\/5, 2\/121, 22.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7165213 is divided by 137?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81293376 + 81293455.000051. Let k = -152 + 231. Let l = k - v. Round l to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/5 (b) 2\/61 (c) 1\/6 (d) -231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a - 47 = 31*a - 4*b + 53, 5*b - 110 = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 3*b**2 - 4*b + 6. List the prime factors of f(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 91 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.285 - -0.28500041. What is l rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5428.\nAnswer: 2, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 55198896 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311798?\nAnswer: 2, 31, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**2 - 3*u**2 + u**2 + 5*u - 3. What is the lowest common multiple of z(-4) and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 124, 38, -540, -1856, -4156, -7686, -12692, -19420?\n\"Answer: -41*l**3 + 201*l - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16783 and 260?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -11*s**2 + 127*s + 186. What is j(7)?\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3082 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, h: 4, g: 4, m: 2, a: 7}. Give prob of picking 2 g.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.31176 decades to centuries.\nAnswer: 1.631176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 551 - 575. Let l be ((-15)\/(-2))\/((-9)\/z). Are -10 and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4024667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*533\/468*(-28)\/7)\/1?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0562949 to 3 dps.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 541791589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -200020120?\nAnswer: 200020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -72*(-168)\/60*(-10)\/(-12). Calculate the greatest common factor of 294 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 12:14 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1*(-2)\/2)\/(80\/(-2160)) is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + sqrt(17) + sqrt(272) + 0.\nAnswer: -3 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 32\/(-10))\/((-32528)\/(-2960) - 11). Calculate the greatest common divisor of 56 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 < 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*a = 92, -19 + 0 = j - 3*a. Let k = j - -34. Suppose -k = -4*x + 4. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2691*x - 1253*x - 1964*x.\nAnswer: -526*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 3713 + 7223 = 0. What is the smallest common multiple of 273 and g?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0477 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -50599 at most -50598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 10*r - 3)*(0 - 1 + 2) + 0 + 0 - r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l. Let j(q) = q**2 - 6241267. What is j(m(c))?\nAnswer: 16*c**2 - 6241267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 13, 14, 5, -20, -67, -142, -251?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2081511 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -75150 (base 8) to base 13\nAnswer: -11356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1076 + 2045 = 5*c - 3*r, 0 = 3*c - 2*r - 581. Suppose -8 = -5*i + 67. What is the greatest common divisor of i and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -74. What is the remainder when q is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 7816720?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 15 - 0. Let c = u + 8. Differentiate 3*y**2 - 11 - 5*y**2 - c*y**2 - y**2 with respect to y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 82202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 - 5*r**2 + 26*r - 31. Let k be c(5). Calculate the greatest common divisor of k and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3703 and 8694.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c. Let s(o) = -2*o. Let u(y) = 5*j(y) - 7*s(y). Let d(m) = m**2 + 2. Give d(u(h)).\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3981 is divided by 3961.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 6*r - 5. Let t be b(-8). Let j = t - -29. Let w = -9 + j. Calculate the remainder when w is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 73.13148 meters?\nAnswer: 7313.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*j + 7315 - 7048 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2721*y**2 + 3797 + 7419*y**2 - 3797 + 3520*y**2 to k*y**2 + u + z*y and give k.\nAnswer: 13660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419 = -7*a + 6574. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*c - 1830758 + 62522758 = -62*c. What is c rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -9 - 8 + 6*y + 22 - 6. Give p(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (8 + (-5 - -2 - -1)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/10)\/(1\/(-2)). Is 16 a factor of (103\/(-3)*-3)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -v - 10473, 2*v + 7851 = 28*q - 25*q. List the prime factors of q.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, a: 3, d: 3, h: 2}. Give prob of sequence dkkh.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144353?\nAnswer: 11, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45827, 45498, 45159, 44810?\nAnswer: 44451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 582 - 265. Suppose t = 2*l + 231. What is l rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 259 - 17*m**2 - 131 - 131 + m to the form l + k*m + h*m**2 and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 306562577 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (17 - -98 - 200)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-3)\/z)*z)**(13\/4)\/((z\/z**(-15\/2))\/(z**(-15)*z)) assuming z is positive.\nAnswer: z**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**6\/40 + j**4\/8 + 13*j**2\/2 - 9*j. Let n(i) be the first derivative of z(i). Factor n(m).\nAnswer: -3*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4561634.9 to the nearest 100000.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.82723 weeks in minutes?\nAnswer: 461938.4784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, g: 2, e: 1, v: 1, t: 2, r: 1}. What is prob of picking 1 f and 1 g?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/(67\/268). Let z = 37 - 25. Let o = z + -7. Solve -i + 12 = -o*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1075136557 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 13*y**3 - 22*y**2. Let f(o) = 4*o**3 - 7*o**2. Let g be (-1)\/(8\/7 - 1). Let n(h) = g*f(h) + 2*x(h). What is the third derivative of n(b) wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, n: 1, p: 3, v: 1}. Give prob of sequence pv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 b when four letters picked without replacement from {u: 2, b: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140507 = -167*a + 18*a. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 0)*(-3*m + 4*m + 0*m) - 26621 + 4217*m + 26621)*(-6*m**2 + 2*m**2 + 3*m**2).\nAnswer: -4215*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/1410 and 121\/10.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2528, -2532, -2536, -2540?\nAnswer: -2544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 69405309, 69405316, 69405323, 69405330, 69405337, 69405344?\n\"Answer: 7*t + 69405302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*z + 901 - 197 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 5*b - 15, -5*b = 5*q - 30 + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v - 6. Let x be p(-5). Let n = x + 8. Let g be (-2 - 1)*n\/3. Solve -5*h + 3 - g = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50486981.\nAnswer: 37, 337, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 200 + -195. Suppose -2151 = -5*d + 3*c, -1725 = -4*d + g*c - 4*c. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - 10.04. Let q = g - -17. Which is the smallest value? (a) q (b) 3\/2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 3. Let n be l(3). Suppose -5*o + 4 = 5*j - 1, 2*j + 4*o - 12 = n. What is the second biggest value in 1, 5, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 763899*q + 2530*q**2 - 763899*q + 3 in the form b*q**2 + j + o*q and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 747 and 51.\nAnswer: 38097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 371\/(-212) - (-206)\/8. Solve -27*v - 6 = -n*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284154950.\nAnswer: 2, 5, 47, 120917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6 + -1 + 13\/(-39)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-8)*(2 - 25\/5). Which is the closest to -1? (a) 0 (b) z (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6*h - 3*h + 6, h + 3*w = -2. Let r be h - ((7 - 3) + -1). What is the nearest to 0.1 in 0, 0.5, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5223399*f**2 + 5*f - 5223234*f**2 - 8*f + 3*f.\nAnswer: 165*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68369952 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g = -p + 127, -48*p - 10489*g - 32 = -10488*g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 483\/(-1134)*672\/(-3864).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 484881451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((1 - 1) + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97 - -85. Let u be (-702)\/12*y\/9. Let w be (-169)\/u - 2\/(-12). Which is the nearest to w? (a) -4 (b) 0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 0 - sqrt(7))**2 + 5 - 3*1*sqrt(7)) + -2 - ((sqrt(567)\/sqrt(9) + -4 - sqrt(63))*-2)**2.\nAnswer: -61 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/12*3 - (-2 + 2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6911 and -105.28501.\nAnswer: 6805.71499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 4. Let w = -24 - -27. Which is the biggest value? (a) w (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27272 divided by -3896\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 132, 153, 192, 255, 348?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, g: 4, a: 2}. What is prob of sequence xa?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -7 - 4) + -5 + (-26 - 83) + 36?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 9*f - 9. Let h(z) = -8*z - 9. Let c(v) = 3*g(v) - 4*h(v). Is c(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 1:14 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7*14\/147*(-426)\/(-4). Suppose -91 + h = -i. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-18)\/3*-2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8986 + -8980. Solve -76 + 82 = n*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -8. Suppose 4*a = k*n + 3317, 4*a + 4*n - 810 = 2498. Suppose 6*p + a = 2*p. Round p to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 32 = -4*a, 3562 - 3547 = 5*a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x. Let g(i) = -2*i + 41 - 41. Suppose 5*s + 4*u = 33, 2 = 4*u - 6. Give s*g(l) - 4*p(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = a + 1, a + n + 1 = 2. Let l be ((-1)\/1)\/((-1)\/5). Put -3, l, a in descending order.\nAnswer: l, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/21 - 14060*z\/21 + 2808250\/3.\nAnswer: -2*(z - 1195)*(z + 8225)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from owwowoww.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -90, -91, -92, -93, -94, -95?\n\"Answer: -x - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25111 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4690, 0.0288, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 u when three letters picked without replacement from {g: 4, u: 7}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -z + 5*o + 6, z - 11 = 3*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 + 0) - (14 - -3 - 14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15951295 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.03 + 0.03. Let m = -5 - w. Let h = 4 + m. Put -3, h, -0.2 in increasing order.\nAnswer: -3, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.808 - 13.354\nAnswer: -16.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 4*r + 2. Let m be q(3). Suppose 0 = 2*w - m*b - 22 + 3, 5*w - b = 36. Let k = w - 3. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1417046*y**2 - y + 860366 wrt y?\nAnswer: 2834092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (249223\/(-38))\/(1\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**4\/12 + 2*c**3\/3 + 2*c**2 + 5*c. Let u be o(-3). Solve -4*g - 8*j = -4*j - 4, u = 2*g + 3*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 1)*(0*n**2 + 3*n**2 - 2*n**2).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3029 is divided by 158.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 - 1) - (6 + (1 - 11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -21?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 73. Let g(x) = x. What is g(s(d))?\nAnswer: 3*d**2 + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -2. Let u = -9.5 - w. Let k = u + 3.69. What is k rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -44058, -44011, -43964, -43917, -43870, -43823?\n\"Answer: 47*a - 44105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (44\/(-4))\/(-1) + -2. Suppose -7*m = -k*m. Put -3, m, -2 in increasing order.\nAnswer: -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 + 10\/(-3). Let h be (4\/(-3))\/4*(0 + 5). Which is greater: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*j - 6 = 0, -5*q - 4*j = -3*j - 11. Solve -5*s - 15 = q*g, 0 = 2*g + g - 5*s - 40 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 2*p**2 - p - 2. Suppose 0 = 4*t - 4 + 20. Let y be 8\/t*3\/(-2). Give f(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 17 - (4\/(-16) - (-6)\/(-72))*0?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 18*k + 2, 5*k - 2*i - 487 + 500 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 29358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 0.3, -3, 1\/3, 13.\nAnswer: -3, 0.3, 1\/3, 0.8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 232*c + 696. Determine j(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 280024940993 plus -4?\nAnswer: 280024940989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-675)\/54*44\/(-5). What is the second derivative of -9*y**2 - 118*y - y**3 + k*y + 66*y + 61*y wrt y?\nAnswer: -6*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2 - 13*y - 134. Calculate the lowest common multiple of 119 and s(-7).\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20647883 is divided by 4537?\nAnswer: 4533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3151, 3149, 3147, 3145?\nAnswer: 3143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i + 4*i**2 - 4*i + 2*i + 2 - 7*i. Let k be b(-1). Let r be (1 - k)\/8 - 11\/(-2). Solve 0*t + r*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 42 - 39)*(-15*b - 3 + 3).\nAnswer: 960*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 38084*q + 3237139. Determine d(-85).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 0 + 5365*x**2 + 2 - 13*x.\nAnswer: 5365*x**2 - 10*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - -0.1. Let i be 1\/(-1 - 0 - (-2 + 2)). What is the third biggest value in i, b, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus -1610039.5185?\nAnswer: -1610045.5185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 1. Let k(c) = 2*c + 2. Let z(u) = 2*u - 21. Let w be z(9). What is w*d(o) - k(o)?\nAnswer: -5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -2 - 4 - (-4 - (-3 + -4))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7567 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7260)*2*-3)\/(2*(sqrt(432) + sqrt(432)*-2 + sqrt(432)) - sqrt(432)))**2.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0.110087592\nAnswer: 2.110087592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -583 - -7581\/13. Which is the nearest to -2? (a) -5 (b) k (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000139228104 rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-2)\/72 + 0). Let w(p) = 13*p - 1. Let r be w(1). Calculate the highest common factor of r and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1591*x**2 - 1 + x - x - 194*x**2 in the form m*x**2 + h*x + j and give m.\nAnswer: -1785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -36*x**5 + 208*x**4 + 8364*x**3 + 35832*x**2 + 33472*x + 5760 = 0.\nAnswer: -9, -4, -1, -2\/9, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8358000 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/17 - 4388998*w**2\/17 + 13166980*w\/17 - 516352 = 0.\nAnswer: 1, 2, 2194496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**3 + 30 + 1355*f**2 - f**3 - 2*f - 2715*f**2 + f**4 + 1360*f**2 as q*f**2 + p*f**4 + r*f**3 + u + x*f and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than or equal to 76208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12525, -25052, -37573, -50088, -62597?\n\"Answer: 3*f**2 - 12536*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 300482692 divided by -13418?\nAnswer: -22394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 6*s = 12. Let h be (1\/3)\/((-2)\/4). What is the nearest to 0 in h, s, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28523535 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 + 5*v**2 - 3*v**2 + (2 - 2 - 1)*(v**2 + 1 - 1) - 2*v + v**2 + 2*v + 2*v - v - v**2 + 0*v + 0 + 25*v**2 + 0.\nAnswer: 22*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20924, 83728, 188428, 335048, 523612, 754144?\nAnswer: 1026668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -80.2 - -80. Let y = 17 + -15.9. Let x = 1.1 - y. What is the third smallest value in d, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**2 - f**2 - f**2)*(5*f**2 - 5*f**2 + 2*f**2) + 2 - 2 - f**4 - 47*f + 47*f - 55*f**4 in the form z*f**4 + m*f**3 + g*f**2 + d*f + l and give z.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*v = 179*v - 5*h + 1, h = -1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -10*b**3 + 19*b**2 + 38*b - 50. Is u(-10) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 13*w - 1. Let z be (-4)\/14 + (-61)\/7. Is s(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 82*v - 6482. Determine p(79).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52894 and 8982?\nAnswer: 476046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d\/d**(-29))))\/(d**12*d) assuming d is positive.\nAnswer: d**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51315841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -0*g - 360. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0. Suppose 15 = 4*v - r. Suppose -v*c + 13 = -7. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 6*j - 1. Let i be b(6). Let p = i + 1. Let h be p + (-1 - 0) + 1. Put 2, h, 3 in ascending order.\nAnswer: h, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/13, 5, 0.6, 94\/331, -2\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/16*((-44)\/(-12) - 3). What is i in 0 + n*i**2 + 0*i = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9011.\nAnswer: 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 - 17265.99.\nAnswer: -17265.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186174, -371951, -557728, -743505?\nAnswer: -929282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5059*a**3 + 10*a**2 - 5*a - 5. Let o(k) = -11989826*k**3 - 23702*k**2 + 11851*k + 11851. What is 11851*h(v) + 5*o(v)?\nAnswer: 5079*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.10042256314 and 0.0067.\nAnswer: 0.10712256314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2\/6 + 100577*q\/2 + 1206892\/3 = 0.\nAnswer: -301723, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 3:37 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -43 - (18 - 10 - 8)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 = 5*b - 12, 6 = 2*u - 2*b. Solve u*v - 1 + 26 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2083463 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(15)\/sqrt(5))**2 + (sqrt(3) + sqrt(3) + 1)*3.\nAnswer: 10 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - w - 15*w + (-3 + 3 - 3*w)*(0 + 3 - 5) - w + 3*w - 3*w.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 12. Suppose -1 = -2*b + t. Put -3, b, 4 in descending order.\nAnswer: 4, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19575)\/14500)\/((-18)\/8).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + ((-7 - -4) + 6 - 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 - -132?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -54959, 3, -19, -1 in ascending order.\nAnswer: -54959, -19, -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 611912513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 324*o**6 + 2*o**2 + 198?\nAnswer: 38880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j. Let i be r(-1). Let v be 1\/(4 + i - 0). Solve -2*q + 3*q = -v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41656 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*k + 0 + 2\/3*k**2.\nAnswer: 2*k*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/x**(1\/2)*x*x*x*x)\/x)**(5\/7)*x**(-1\/4)\/x*x*x*x\/x**(-2\/13))\/(x**(-5)*x*x\/x**(2\/7)*x**(-3\/2)\/x**(-3\/5)) assuming x is positive.\nAnswer: x**(2419\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 5*w**7\/42 + w**6\/2 - 3*w**5\/4 - 35*w**4\/12 + 5*w**3 + 6*w - 14. Factor b(u).\nAnswer: 5*u*(u - 1)**2*(u + 2)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 200 in -0.5, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**2 + 4*f - 5. What is the remainder when k(-5) is divided by (-11)\/(180 - 4) - 514\/(-32)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 4. Let j be w(4). Let d be (-4)\/j*1*2. Are 2 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1086*t + 1040*t - 4 = -602 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 4*j + 6*r, r + 11 = -2*j + 92. Which is greater: j or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/5)*z*z**(4\/9)*z**(1\/9)\/z**(-5) assuming z is positive.\nAnswer: z**(313\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, p: 7, l: 1}. What is prob of picking 1 l and 2 i?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, 2\/91, 1255?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*s - 1870 = 0, -3*s = -3*a + 1621 - 499. Calculate the greatest common factor of 34 and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -750, -748, -744, -738, -730?\n\"Answer: j**2 - j - 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -0.035 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13*(1\/(-1) - -2). Suppose -f = 3*f - 468. What is the greatest common factor of f and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6 = -12. Let u = v + -8. Let r(d) = -7*d. Is r(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -320*k**5 + 2*k**4 - 7*k**2 + 13.\nAnswer: -19200*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/24? (a) 1\/6 (b) -0.4 (c) 5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 + 0 - (14 - 11)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 374*p + 8267. Let g be n(-22). Solve -232 - 41 = -g*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*u - 2*r - 0, 0 = 2*u - 5*r - 4. Let a = 37 - 33. What is the second derivative of 5*o - u*o**3 + 2*o**3 - 2*o + 2*o**a wrt o?\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**2*v + m**2 + 270*m*v + 19142*v wrt m?\nAnswer: -2*m*v + 2*m + 270*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-24)*-18 + 3 + 120\/(-32). Solve -3*r + 15 = -25*f + 28*f, w = 5*r - 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (3 + 25\/(-6)). What is the closest to -2\/3 in -1, z, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/13, 366\/19, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/96)\/((-2)\/((-32)\/(-12)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 15 = 0, 0 = -o + a + 5 - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**4\/4 + 14*w**3\/3 - 6*w**2 - 14*w + 6. Let r be m(13). List the prime factors of (-2)\/(-1) - (r - 58).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {i: 4, g: 10, o: 1, q: 5}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103 + -103.051. Let w = y + 2.551. Let u = -6.5 + w. Put u, -1, -2, 1\/2 in decreasing order.\nAnswer: 1\/2, -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433509001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 265.2 times 0.17005?\nAnswer: 45.09726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2893 = 4*b, 1400 + 538 = 2*x - 2*b. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 12*i + 17. Let b be y(10). Put 2.5, b, -5 in ascending order.\nAnswer: -5, b, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + -3. Let n = q - -10. Let o(z) = 2*z**2 - 1. Give o(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*f**2 + 162*f**4 + 221*f**2 + 1808*f**2 + 1128 + 1041*f**3 + 458*f + 3*f**5 + 2386*f = 0.\nAnswer: -47, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 309\/15 + (-6)\/10. Let c(n) = n - 12. Let s be c(16). Suppose -s*v + 1 = -b, 4*v + 5*b + 9 = -w. Which is bigger: v or -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-11 + 9)\/((-16)\/(-6)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 9*h - 10*h + 10, -3*p - 2*h - 1 = 0. Let s be 42\/p + -3 + -1 + 3. Solve 2*c = s - 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 5) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -152*z**3 - 446*z. Let m(l) = -2*l. What is j(m(w))?\nAnswer: 1824*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 9. Let n = 1062 - 1062.5. Which is the third biggest value? (a) -1\/6 (b) u (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**3 + 3 - 6*f**3 - 2*f - 1 + 2*f**2. Let t(u) = -12*u**3 + 8*u**2 - 9*u + 9. Let b(i) = 2*t(i) - 9*x(i). Find the third derivative of b(n) wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7*s + 2083815 = -3626192, -8564995 = -3*x - 5*s. What is x rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*t = -16, 8 = c - 3*t + t. Suppose -v - c*v = 0. Let d(a) = -a**2 + a + 8000. Let g be d(v). Round g to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91373683 divided by 2469559.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -680450, -680444, -680434, -680420, -680402, -680380?\n\"Answer: 2*m**2 - 680452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97237155751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 999221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 8*h - 3*h + 4*h - 2*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3 + 3*b**3 + 2*b**3 + 3*b - b wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**4 - 65 + 55 + 5*h**4 + 2*h in the form d*h**3 + g*h**4 + x*h**2 + z + n*h and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (74\/6)\/((-4)\/(-1284)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(47\/(-470))*18\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305679 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14250 = 4*j + 7*u + 14265, 5*u = -5*j - 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -21 - (-6)\/6. Let f = -12 - d. Let m = f - -15. What is the smallest common multiple of 4 and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3 + 22\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3425 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*l - 13 = 0, 4*g - l - 29 = 2*l. Suppose 2*h + 215 = 7*h + g*b, b = -3*h + 121. Does 25 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3066828 divided by -26902?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38, 17, 72?\n\"Answer: 55*l - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from ouuuouuuuouuuoouoou?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*a**3 + a**4 + 3*a**3)*(-1 - 2 + 1) - a**4 + 2 - 2)*(a + 3*a - 5*a).\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w + w - 4*w)*(4 - 22 + 80).\nAnswer: 124*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 732*n**2 + 4*n - 566*n**2 - 76*n**2 - 5 to the form i + h*n + o*n**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7790 and 108158?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.7 - 7. Let f = 0.046 + -30.046. Let z = f - -33. What is the closest to 0 in z, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/5886670 and 51\/8.\nAnswer: 23546680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000168741 rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -17*t. Let n be s(-1). Solve 3*h - 5 = 5*v, -5*h - 3*v = -5*v + n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - -1 - 5\/(-1). Let v = f - -3. Solve v = 2*x + 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 34 = -7364*j + 7361*j, 11*i + 52 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2910 divided by 5.\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 1)*(6*z - 4*z - 3*z)*(-z - 3*z + 3*z) + 45*z**2 - 48 + 48 + (-2*z - z + 5*z)*(-4*z + 4*z - z) to r*z + s + a*z**2 and give a.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 4076.\nAnswer: 5\/4076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1096259815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*j + 60. Let f(s) = s + j + 36 - s**2 - 13 - 2. Is f(0) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -421, -420, -419, -418?\n\"Answer: q - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x**2 - 5*x. Let k(t) = 7*t**2 - 6*t. Let h(r) = -5*k(r) + 6*y(r). Let s(i) be the first derivative of -5*i**3\/3 - 1. What is h(s(m))?\nAnswer: 25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/((-276)\/(-80)) + 6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {s: 4, d: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -202 + 97. Suppose 0 = -3*n + l - 38, -2*n = 2*n + 3*l + 68. Let r = n - d. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 5 + -6 - (-19 + 11)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 3*k - 3, -2*c + 6 = 5*k + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 2*m - 108. Let w(j) = -2*j. What is i(w(c))?\nAnswer: 8*c**2 + 4*c - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5321, -10641, -15961, -21281, -26601?\n\"Answer: -5320*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477923 is divided by 114.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2. Let q = -5 - -5. Let x(o) = o**2 + 2. Let v be x(0). Let i(b) = q*b**2 + b**2 - 3*b**v. Calculate i(h(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 12*v - 6. Let z be q(1). Calculate the lowest common multiple of 40 and (z + 96\/(-14))*-84.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58210.72 decades in millennia?\nAnswer: 582.1072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7*v = 20. Suppose -c + 4*j - 3*j = 1, -30 = -5*c - 2*j. Let i(w) = -w**2 + 5*w + 1. Let r be i(c). Is v > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(539) + -1)**2 + -2*sqrt(539) + -3 + 5 + sqrt(539) + (3 + sqrt(11) + sqrt(44)\/sqrt(4))**2.\nAnswer: -51*sqrt(11) + 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113 + 114. Let b be (-15 - -20)*d\/5. Solve 0 = -y + b - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.06 (c) -2.02 (d) 12\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Find y, given that 4 - x*y**2 + 9 - 1 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -122*k**5\/11 - 974*k**4\/11 + 626*k**3\/11 + 10238*k**2\/11 - 168*k\/11 = 0.\nAnswer: -7, -4, 0, 1\/61, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 168.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 10:22 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 440 = -10*w + 4*q, w - q = 428. What is the highest common divisor of 53 and w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 860718503?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 less than -766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*w + 6*r - 62358, -3*w = -5*r - 46812. List the prime factors of w.\nAnswer: 2, 3, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 3. Let d be g(6). Suppose -3*k - q = -1, 2*k = d*k + 2*q - 7. What is the units digit of 5\/(20\/72) + k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3ada0d (base 15) to base 2.\nAnswer: 1010110011000010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-303669.\nAnswer: 30366.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 132 in -0.3, -3146\/7, -2, 4\/3, 0.5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, p: 2}. Give prob of picking 1 p and 1 c.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (2 - -4) - (21 - -6 - 29)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 8*b**2 - 3*b - 10. What is s(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - -1 - (0 + -6). Let w(n) = -17 + 6 + 2 + 4 - 2*n + 6. What is w(z)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 + 14.8. Let s = j + -18. Let o = 3.7 + -3.7. Which is smaller: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 - 0.1. Let m(x) = 7*x - 1. Let n be m(1). Let y be (-4)\/n - 85\/(-60). Which is the nearest to q? (a) 2\/9 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -1)\/(-4)*18\/(-1). Let b(r) = r + 4. Let y(t) = -t - 3. Let h(w) = -4*b(w) - 3*y(w). Let x be h(-7). Solve l*v - 4*v + 20 = x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -8881118235.6693\nAnswer: -8881118240.6693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2036*x**2 + 11*x. Let z(i) = 5*i. What is z(p(f))?\nAnswer: -10180*f**2 + 55*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 5*h. Let s(r) be the first derivative of -r**2\/2 + 16. Determine v(s(c)).\nAnswer: -c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 80*w + 642. Calculate v(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10200601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105 - -133. Suppose 2*v - 4*b - 12 = 10, -5*v + b = -h. Solve -c + 0*p = -4*p - 1, 4*c + v*p = 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -89*w + 413*w = -155*w - 8622 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - q. Let w be x(5). Suppose -4*g = 4*z - 1424, -3*z + 2*g + 1766 = 2*z. Suppose z*n = 351*n + 21. Solve 2*a = n*a + w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 4.7. Let r = l + 4. Let a = 3 + -2.8. Sort a, r, 5 in ascending order.\nAnswer: r, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p - 155. Let c be z(-18). Suppose 5*i + 41 = 4*w, 2*w + 2*i = w + c. Calculate the lowest common multiple of w and 119.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*d + 5 - 3 - 25*d + 27*d.\nAnswer: 56*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1858\/14519, -3, 1\/2?\nAnswer: 1858\/14519","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366 = -9*a - 420 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3 + 2840*f**2 - 498372*f - 2039184 = 0.\nAnswer: -4, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 8. What are the prime factors of b(-9)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from gkwttut?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from dfdtffdttffddddtfftd?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 - -88. Suppose 0 = -17*y + v*y - 55. Find the first derivative of -7*k + 10 - y + 10 wrt k.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6414269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + u + 1. Let k be q(-1). Suppose -3*o + k*r - r = 1, -5*o - 7 = -2*r. Suppose 2*c - 3 = 1. Sort c, o, 0.\nAnswer: o, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 940946 to the nearest ten thousand.\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/7)*d**(-6)*d*d\/(d\/d**(2\/13))*d*d**(-2) assuming d is positive.\nAnswer: d**(-506\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47308*w = -47012*w + 4440 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**23\/n*n)\/(n\/n**(-5)))\/(n**(3\/32)*(n**(5\/8)\/n)\/n) assuming n is positive.\nAnswer: n**(617\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5 + 21\/5*u - 3\/5*u**3 - 6\/5*u**2.\nAnswer: -3*(u - 1)**2*(u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*(5*sqrt(72) + 3 + sqrt(72)*3*1) + 3)**2.\nAnswer: 2688*sqrt(2) + 18628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = -7 - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8769308*b**4*t + 2*b**2*t - b*t + 23123*b + 200 wrt b.\nAnswer: 105231696*b**2*t + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4 = 28. Let o be (-3 + 5)*p\/4. List the prime factors of (-10)\/(2 - 8\/o).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 4*k + 1595 - 814 - 781.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.83714 (b) 5 (c) -4\/7 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -2*m + 15, -5*m + 3*i - 4 = -28 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7 + 58*u - 60*u - 2*u**2 - 3*u**2 + 3*u**2. Let g = -320 + 331. Let n(l) = 5*l**2 + 6*l - 20. Calculate g*q(t) + 4*n(t).\nAnswer: -2*t**2 + 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519933541 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -34. Suppose 0 = -5*r + 15, -j*u - 3*r - 25 = -4*u. Suppose u = 7*t - 1. Solve m = t*m + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 735*i. Let n(f) = -2451*f. Give q(n(r)).\nAnswer: -1801485*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29.9, 4, -1\/7, -3\/7 in ascending order.\nAnswer: -3\/7, -1\/7, 4, 29.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 47 = -5. Let p be n\/(-6) + 2\/4. Solve -p - 32*m + 9*m + 17*m - 2*m**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 5. Let b = 3 + c. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**2 - 373*q + 677. Let m(o) = -14*o**2 + 1131*o - 2031. Let w(t) = -11*h(t) - 4*m(t). What is the first derivative of w(v) wrt v?\nAnswer: 2*v - 421","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 19. Give h(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31 and 9.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(288) + -1)**2 + 2.\nAnswer: 48*sqrt(2) + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-132)\/4 + (-149820)\/(-5346)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 - 1112*n**2 - 13416*n.\nAnswer: n*(n - 2236)*(n + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 697 = 3*z - 9*o + 5*o, -232 = -z + o. Let d(i) = i**2 - i + 21. Let h be d(0). Calculate the highest common divisor of h and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2184\/936)\/((-7)\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**5\/5 - 3*y**4\/2 + 8*y**3\/3 + 3*y**2 - 9*y + 4852. Determine j so that h(j) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16438854 - 13?\nAnswer: -16438867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.50894 to one decimal place.\nAnswer: -31.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -5663?\nAnswer: 50967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 5. Let n(u) = 7429*u. Let x be n(r). Is (x\/(-38))\/(1\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78375843.\nAnswer: 3, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13257 + 30490. Is 35 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 29 (b) 4 (c) 3\/4 (d) -38\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -14. Let n = 32 + a. Let z = 101\/4 - n. Which is smaller: z or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtm when three letters picked without replacement from {j: 7, t: 2, a: 2, m: 3, w: 5, i: 1}.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -726 divided by 22\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2. Suppose -2*o = 2 - j. Let c be (0*o\/1)\/(-1). Is -1\/2 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2550*g**4 + 16*g**2 - 937*g - 1431780033 wrt g.\nAnswer: -10200*g**3 + 32*g - 937","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 16*l + 51 = 0. Suppose -l*i = -4*i - 26. Solve -6*s = -i*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1293.1 and 0.9?\nAnswer: 1292.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -200 (b) 3 (c) -1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -5*f - 39, 3*f = -437 + 422 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kocborcgb. Give prob of picking 1 k and 1 o.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**3 - 21*k**2 + 4*k + 28. Let t be o(-7). Does t = -46\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (6 + -3) - 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*u - 2*k + 30, 0 = -5*k. Let x be (-15)\/u*(-64)\/(-140). Solve 2\/7 + 10\/7*t + x*t**2 = 0 for t.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5ac (base 16) in base 15?\nAnswer: 66c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**3 + 278822535*z**2 + 3887100440602575*z + 3887100161780045 = 0?\nAnswer: -27882253, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12, -121 in increasing order.\nAnswer: -121, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3 - 5 = -2*x, -3*h = 5*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + 2*sqrt(847) + sqrt(847))*2 + -5)**2 - (sqrt(7) + ((-1*sqrt(77) + sqrt(77))\/sqrt(11))**2 + (sqrt(700) + 0)**2).\nAnswer: -881*sqrt(7) + 53533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1555*r + 6504. List the prime factors of y(-19).\nAnswer: 13, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*i - 364, 3*c + i = 3*i + 1096. Let x = c - 226. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3432598, -13730354, -30893282, -54921382, -85814654, -123573098?\nAnswer: -168196714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10222 and 24391306.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 4*a + 0*a + (5 - 2 - 1)*(5*a + 0*a - a) + (-a + 5*a - 5*a)*(-584 + 1085 - 3206 - 2318 - 78) to the form l + f*a and give f.\nAnswer: 5110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32666455 = -290*n - 32679215 for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215 - -227. Let y(x) = -5*x**2 - 14*x - 5. Let p(m) = -4*m**2 - 14*m - 5. Let u(r) = -6*p(r) + 5*y(r). What is the units digit of u(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 5)*(-10)\/(-3). Is 7 a factor of 50 - 5\/(z\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115314256 is divided by 71?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*r + 1162*r + 930*r = -741*r - 19112 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116486891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 - 11*s**2 + 8*s + 12. Let d be r(-6). Let b = 56 + d. Suppose -10*j + 6*j + b = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhhh. Give prob of sequence qhh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*c - 40*c + 0*c = -963072. What are the prime factors of c?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, j: 5}. What is prob of picking 1 j and 2 b?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3536434 a multiple of 667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 200347508?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - (4*sqrt(252)*-1 - sqrt(252)))\/(sqrt(12) - (sqrt(24)\/sqrt(2) - sqrt(12))*5))\/(-1*sqrt(75) - (sqrt(12)*4 + sqrt(3)))*3)**2.\nAnswer: 81\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 119*q**2 + 18*q + 16. Let j(n) = -2*n**3 - 19*n**2 + 11*n + 1. Let u be j(-10). Is w(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 + -86. What are the prime factors of (-54)\/((-91)\/39 + 1 + j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o. Let r(k) = 176*k**2. Calculate r(l(i)).\nAnswer: 176*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 7. Suppose 0*c = 3*c - x - 20, 2*x + 4 = 0. Suppose -4*f + c = -5*n, -2*n + f - 8 = -2*f. Sort n, -5, j.\nAnswer: -5, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157 and 20048429?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 11*w**2 - 10*w + 12. What is the remainder when 33 is divided by j(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-70) + 2\/(-20). Let x be 4*(-3)\/(-36)*d. Let q(z) = -z + 10. Give q(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13191 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s)**(-2\/41)\/(s*s**(2\/3)*s**6*s) assuming s is positive.\nAnswer: s**(-1072\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 91099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 6*y + 10. Let s be z(5). What is the derivative of -s*l**2 - 2 - 1 + 0 + 9 wrt l?\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/6 (b) 0.4 (c) 3 (d) -2\/123407 (e) -1 (f) 5 (g) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.04 - -0.96. Which is the biggest value? (a) q (b) 2\/13 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572.6288863 rounded to the nearest 10?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 7:01 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w**3 - 2*w + 1. Suppose -4*t = -3*a - 0*a - 52, a + 4 = 0. Suppose 14*f - t*f - 16 = 0. Let r be 4*f\/8 - 1. What is v(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/16, -19, 2\/11.\nAnswer: -19, -1\/16, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58991 or 58993?\nAnswer: 58991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 33*a**2 + 35*a - 46. What is j(34)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -82265.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from yynynnn?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3601 and 831?\nAnswer: 10803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -14, 5, 44, 109, 206?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**2 - 1 + m**4 - m - m**4 - 4*m**4 to y*m + f*m**4 + p + o*m**3 + u*m**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/23985 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 98 = 5*h - 108, 0 = 5*g - 3*h - 332. Let s = g + -65. What is the derivative of -7 - s*q - 21 + 14 wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -45*(24\/(-9) - -2). Suppose 41 = 5*x - 4. What is the remainder when (w\/(-14))\/((-6)\/42) is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 165*z - 5686. What is s(-49)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-64)\/20 + -3. Solve -z*l = -17*l + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3 + -6 - -4) + (-11 - -2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1371 or -130072?\nAnswer: -130072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 246, -3\/14, 32279 in ascending order.\nAnswer: -3\/14, 246, 32279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -5.3 (c) -294 (d) -2\/17 (e) 1\/3 (f) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32700 - 1307889\/40. Find the common denominator of n and 29\/264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m + 24*m**3 + 10*m - 15*m)*(1554*m - 1 + 267*m**2 - 1554*m).\nAnswer: 6408*m**5 + 243*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2676, -0.4, -1\/2, -0.2, 0.05?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -262 - -310631?\nAnswer: 310347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/45)\/((-176)\/(-396))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 295 + -6?\nAnswer: 28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18217, -36430, -54645, -72862, -91081, -109302?\n\"Answer: -t**2 - 18210*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 11*b**2 + 1 + 2 - 9*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = -1. Suppose l = -4*m + 86, 0*l = -3*l - d*m + 265. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0 + 23\/3*c**3 - 27\/2*c**2 + 24*c. Differentiate p(k) wrt k.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313026 (base 12) in base 2?\nAnswer: 10111100100101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19363160 and 16?\nAnswer: 38726320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {j: 1, c: 4, y: 3, u: 1, p: 4, o: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**3 + m**2 + 4*m. Let j = -29623 + 29620. Calculate l(j).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -327 - -476. Suppose -5*t = -l + 44. Suppose -2382 = -t*m + 15*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-109)\/4905)\/(11\/39105)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4 = 4*u, h = -3*h. What are the prime factors of 7\/(-7)*(-31)\/u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11132313 + -310?\nAnswer: -11133223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(0*p**4 - 2*p - p**4 - 12*p).\nAnswer: -p**4 - 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.1, 0, -28, 28, 1\/95?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179 + -47. Let r = t - -207. Suppose -8*b + 149 = -r. List the prime factors of b.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by -30602\nAnswer: 16\/15301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**4\/4 - 2*g**2 - 3*g + 40. Let s(u) = 4*u - 2*u + 0*u. Let o be s(-1). Determine f(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**3 + k**2 + 2*k - 2. Let y be m(2). Let w = y - 35. Let g = -0.71 + 0.51. Which is the biggest value? (a) 1 (b) -1 (c) w (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -496 - -498. Suppose -1616 = g - 3*g - 5*x, 1588 = l*g - 2*x. What are the prime factors of g?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*v - 3*x - 20 = -96*v, 0 = 5*x + 20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 118900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*-955.\nAnswer: -76.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102602 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: Calculate (-204)\/17*(-9)\/(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 180*m + 950.\nAnswer: -2*(m - 5)*(m + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4 = -2*p. Suppose -2*y - 142 = -5*c - 4*y, -y - 124 = -p*c. Is c at least as big as 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 9*v = 34*v - 285 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60256 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*u**4 - 5*u**4 + 3*u**4 + (0 + 3 + 1)*(-u**4 + 6*u**4 - 4*u**4) + (u**2 - u**2 - 2*u**2)*(-3*u - 2*u**2 + 3*u).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + z**2. Let j be 6\/12 + (-33)\/6. Let t(w) = -2*w**3 - 2*w**2. Suppose 5*a = 5*i - 10, -3*i = -3*a + 2*a - 2. Calculate a*t(f) + j*l(f).\nAnswer: -f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 492\/(-164)*(-2)\/54 - (-69)\/(-135)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 22. Let t(f) = f + 43. Let b(d) = -5*i(d) + 3*t(d). Let r(w) = -w - 9. Let j(v) = -2*b(v) - 5*r(v). Suppose 4*y - 25 + 5 = 0. Give j(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 + 1b14a7a?\nAnswer: 1b14aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i + 8. Let l(w) = 6*w - 7. Let h(f) = 2*d(f) + 3*l(f). Let n be h(-5). Let j be (12\/(-15))\/(6\/n). Solve 2*a - j*a + 12 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) + (44\/(-60))\/(-1). Which is the closest to -0.2? (a) -5 (b) o (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23\/5, -3\/2, 3, -3, -0.2 in decreasing order.\nAnswer: 3, -0.2, -3\/2, -3, -23\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 579 and 8?\nAnswer: 4632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2571719922?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) -2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 490 - 438. Let y(f) = 3*f - 14. Let d be 72\/(-30)*(-4 + -1). What is the lowest common multiple of n and y(d)?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3534 - 3533.9994493. Round v to five dps.\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -336.4399 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a - 27480 = 33*a + 3*k, -4*a + 2*k + 54952 = 0. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138456 and 702?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + k**2 - 1 + 3.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2 + 3 - 58*f**3 + 6*f**2 + 59*f**3 + 8*f. Let x be s(-4). Suppose -x*z = z - 1260. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64648*-3168\nAnswer: 204804864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2151*j - 51625. Determine n(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212, -822, -1838, -3260, -5088, -7322, -9962?\nAnswer: -13008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (13 - (7 + -8 + -1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 56 - 62 = -12*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -4 + 303 + -363 + (0 - (0 + 10))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62518362 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -8. Let s(k) = -9*k**2 - 13*k. Let l(g) = -5*g**2 - 7*g. Suppose 5*a - 3*j = 67 - 6, 3*j = 2*a - 28. Give a*l(r) + d*s(r).\nAnswer: -r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r - 20. Let t be q(-13). Suppose z = 29 + t. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**4\/6 + 1058*c**3\/9 - 2821. Factor z(t).\nAnswer: 2*t**2*(t + 529)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12323*h**2 - 12321*h**2 - 195*h - 226*h - 1 + 3 as k*h + c + l*h**2 and give k.\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -587\/2601 + 1\/289. Which is the fourth biggest value? (a) j (b) -4 (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.75738416 to four decimal places.\nAnswer: -2.7574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*3\/24*-4. Let k(u) = 22*u**2 - 2*u - 2. List the prime factors of k(z).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2485*t**2 - 2487*t**2 + 26*t - 26*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -0.808 (c) 1622 (d) 4 (e) 2\/15 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10214 - 3312 - 2502)*(-n + 0 + 0) to the form d*n + y and give d.\nAnswer: 16028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2 + 6644 + 40 + -52 - 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = a - 45 + 36, 0 = 3*a + 3*o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 690 and 2208?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41.7 + -42. Which is the smallest value? (a) 2 (b) d (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -395 + 334. Let p = 59 + r. Which is the biggest value? (a) -1 (b) p (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -150*h**2. Let x(u) = 15875*u - 5*u**2 - 15875*u - 2*u**2. Give x(p(g)).\nAnswer: -157500*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 5*f**2 + f**2)*(0 - f**3 + 0) - 8*f**5 + 0*f**5 - 506*f + 505*f.\nAnswer: -7*f**5 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 118 divided by -59\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nemenkekern. What is prob of sequence ee?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2)*z*z**(-6\/7)\/z*z*z**(-5)*z**(-2))\/((z**(2\/15)*z)\/(z\/(z**(-2\/7)\/z)))**2 assuming z is positive.\nAnswer: z**(-851\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -379261, -378922, -378351, -377542, -376489, -375186?\n\"Answer: g**3 + 110*g**2 + 2*g - 379374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1975 - 7849\/4. Let a = -138845\/663 - -19\/221. Let l = a + 206. What is the common denominator of l and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 9 = 3. Suppose 0 = q - 5*q - f*c + 730, -901 = -5*q + 2*c. Differentiate -195 + 8*u**3 + q - 28*u**3 wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000038589 to 7 dps.\nAnswer: 0.0000386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-216)\/28 + (-4)\/(-8)*16. Which is the closest to -1? (a) 1 (b) w (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*d - 2*b, d = 3*b - 3 - 6. What is p in d*p + 9 - 3*p - 2*p**3 - 1 - 6*p**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7*j = 0. Suppose y - 10 = o - 4, -o = 1. Let s(g) = g + 1 - y + 1. Calculate s(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/((-4)\/184). Let c be (-2)\/(-5) - j\/5. Solve z - 19 - 1 = 5*a, c*z - 12 = 3*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16461 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 - 7. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 24*m**2 + 48*m + 61. What is the thousands digit of l(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -837*s**2. Let b(k) = -11394*k. Give b(l(j)).\nAnswer: 9536778*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((-240)\/(-48))\/(3*(-5)\/(-6))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6 (b) -13 (c) -15.2 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -189*a + 199*a. Let n(m) = 31. Let b(w) = -5. Let i(l) = a*b(l) + n(l). Let t(c) = -3*c + 5. Determine 3*i(d) - t(d).\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t - 36*t**2 - 7*t**2 + 4*t - 4*t.\nAnswer: -43*t**2 + 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 11 (c) 43\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*k + 117 + 213 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n = -9*n - 4365000. Round n to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 5:28 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*c = -0*c + 6, 3*c - 3 = 0. Suppose -z*d + 8 = 5*o, -4*d + 5*o + 1 = 2*o. Let a = -4 + 6. Solve a*t + p = -0 + d, -5*p - 28 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 3570151?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 2:28 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 2, 174, -0.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 19 = 5*h + 11*x - 9 + 27, 12*x - 86 = -10*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -3. Let u = 113 + -455\/4. Let n = y + u. What is the smallest value in n, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, i: 6, n: 3}. What is prob of picking 2 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2432 (base 9) in base 10?\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33890?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -382b79 + 3?\nAnswer: -382b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**2\/2 + 13*j - 2. Let l = 153 + -157. Let c be p(l). Solve -32 = 4*q - 3*m, -m + 0*m + c = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 126\/8 + 93\/(-124). Let i = 349 + k. Does 30 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2152, -3868, -6726, -10726, -15868, -22152, -29578?\n\"Answer: -571*v**2 - 3*v - 1578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/2 (b) -69.324 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6*30\/(-900) + (-31)\/(-30)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173673.58 - 171788. What is x rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Let v(t) = -8*t + 1 - 2*t - q. Is v(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3312 divide 70229126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 3*i**5\/100 - 3*i**4\/20 + 3*i**3\/10 - 3*i**2\/10 + 6*i. Factor q(f).\nAnswer: 3*(f - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0*t + 0 - 1\/24*t**4 + 0*t**3 - 3*t**2. Let c be q(-2). Solve 5 = -2*b + 5*l, 2*b - b + c*l = -7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -716640432, -716640431, -716640430?\n\"Answer: v - 716640433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 10:47 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4614*u + 1397*u + 1 - 1 - 3082*u as a + q*u and give q.\nAnswer: -6299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*j**2 + 117*j**2 + 217*j**2 + 299*j**2 to m*j + q + t*j**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 5. Let v = 15 - 11. Let m = v + -4.5. Which is the third biggest value? (a) m (b) -2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*k + 59*k - 10291805 + 10291805.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -97793 divided by -135?\nAnswer: 97793\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -29*w + 17*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*l - 21 = 0, 4*l = 4*k - 0*k + 4. Let s(i) = i**2 - 4*i + 5. Is s(k) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 10:30 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.214871 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 3) in base 2?\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z + 2*z)*(-5 + 2 + 1)*(2 - 4 + 3) + (3 - 3 - 1)*(-z - 2*z + z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16548 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hmhmhhhhhhhhmhhhmhhh.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(8\/(-3))\/((1632\/32)\/51)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*u = -16, -5*x - 2*u - u + 31 = 0. Let i be (-12)\/(-20) + 2\/x. What are the prime factors of (-3)\/(-3) + 1 + i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/17 and -109\/44?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/12 - (-34)\/(-3). Is ((-782)\/(-3))\/(p\/(-18)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 8:17 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:10 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2. Let x = 11 + -7. Let f(a) = 3*a + a - x*a + 3*a. Give f(y(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -44*j**3 + 305*j**2 - 347*j + 26. Let p(i) = 22*i**3 - 152*i**2 + 174*i - 12. Let h(y) = -6*k(y) - 13*p(y). Factor h(m).\nAnswer: -2*m*(m - 5)*(11*m - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u + 25*u = 5*l - 1578, -4*u = -2*l + 612. Calculate the smallest common multiple of 12 and l.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -155 + -6?\nAnswer: -15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 3 + (0 - 11). Let o = 8 + -10. Let m(l) = -6*l**2 + 11*l - 21. Let i(c) = c**2 - 2*c + 4. Give g*i(r) + o*m(r).\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z + 3*k = 90, z - 5*k - 18 = 0. Let v be 8\/z*6\/12. What is the closest to -1 in v, 5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 2*j**2 - 4*j + 1. Let a be u(-3). Suppose 3*r - a*x + x = 153, 5*x - 153 = -3*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 379, 4345, 15483, 37381, 73627, 127809?\nAnswer: 203515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 23. Let t = 2056 + -2052. Solve 2*a = -4*b - 8, 6 = 4*a - t*b - s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121 - 122. What is the common denominator of 21\/20 and (l - (-335)\/(-200))*-1?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 + x**2 - x + 1. Let n(g) = -9*g**3 + 6*g**2 + 2*g + 5. Give -3*h(m) + n(m).\nAnswer: -3*m**3 + 3*m**2 + 5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -29*w**4\/24 + w**3\/6 + 6*w**2. Let a be b(-4). Let g = 44 + a. What is the greatest common divisor of g and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 24*x - 28*x + 410, 2*x = -8. Which is greater: w or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6853\/3465 - (-2)\/(-10))\/((-3)\/(-9)).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -33969*z**3 + z**2 + 8*z + 7. Is k(-1) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5118 in -2, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3376*j. Let b(h) = 16*h**2. Determine b(r(k)).\nAnswer: 182358016*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 347*b*d**4 + b - 27*d - 6 wrt d?\nAnswer: 4164*b*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1111340 - -1141?\nAnswer: -1110144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-134)\/3 - ((-198)\/(-27) + -7). What is the common denominator of 37\/9 and (v\/(-5))\/18 + 53\/(-33)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -42, -54, -88, -156, -270?\n\"Answer: -2*w**3 + w**2 - w - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 46 (c) -4 (d) 1\/384 (e) 25 (f) -0.14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16769648 is divided by 2684?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137 - 134. What is the second biggest value in t, 1\/5, -13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2 = u. Suppose -4*b - 2*w + 196 = 0, 4*b - u*w - 245 = -b. Suppose 3*f - b = -q, -2*f - 4*q + 61 = f. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/1104739?\nAnswer: -4\/1104739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 - 70 = c. Suppose -41*m = -46*m + c. What is the highest common divisor of m and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 7, -17\/8, -3, 0.5 in descending order.\nAnswer: 7, 0.5, 1\/3, -17\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (38\/14 + -3)*-7. Suppose x - 43 = -4*v, -t*x + 122 = 5*v + 30. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16940 and 583352.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -7*c**6\/720 - c**5\/40 - c**4\/6 - c. Let p(a) be the third derivative of d(a). Let m be p(-2). Solve 0 = -2*n - 3 + m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 2. Let u be a(-2). Suppose 2*r + 5*w = 6*r - 30, -2*r + 2*w + 14 = 0. Let l(o) = -2*o**2 + 8*o + 15. Let h be l(r). Solve -u*y = y - h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -52. Let i = w - -41. Let n = -16 + i. Solve 0 = -3*k + l + 6, 10 = n*k + 2*l + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-18) - 2\/(-3). Suppose b = -f - f. What is the second biggest value in -3\/7, f, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-20))\/1)\/((-280)\/(-1400))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -6)\/(0 + 2\/(-2)). Suppose -k*t = -2*j - 17, -4*j - 3*t + 35 = j. Solve 0 = -3*l - j*s, -4*l - s + 4 = -9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 - 339.\nAnswer: -339.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**4\/4 + n**3\/3 + 3*n**2\/2 + 10*n - 2890. What is j(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 5*u**3\/6 - u. Suppose 5*a - 16 = 3*g, -3*a + 10 = -2*g + 1. Let m(q) = -g*q**2 + 1 + 1 - 2. Give m(v(t)).\nAnswer: -75*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36156758 a multiple of 1549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4 = 3*q, 587*q + 8 = 591*q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.04, -25, -5\/4, 0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + -6)\/8 + 2. Suppose -l*w + 4*a = -932, -2*w = -4*w - 4*a + 916. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s + 10 = 3*w, 5*w - 14 = -3*s. What is the derivative of -2*g**2 + 4 + g**2 + g**2 + 4*g**w wrt g?\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in -0.3, -28\/9, 2, 1, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a micrometer in nanometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 51. What is the greatest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 282 - 281.93. Suppose 4*c + 22 = -5*m, -3*c + 5*m - 1 = m. Is u at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 11621.\nAnswer: -4\/11621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26384332.\nAnswer: 2, 13, 67, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-3 + 3 + 2*w) - 57*w + 19*w + 1 + 27*w.\nAnswer: -7*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1607, -12399, -41685, -98711, -192723?\n\"Answer: -1541*h**3 - h**2 - 2*h - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:58 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, u: 1, k: 1, l: 1, w: 2}. Give prob of sequence kwl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 3)*(30*m**2 + 6*m**3 + 25*m - 24*m - 106*m**2).\nAnswer: 18*m**3 - 228*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-3 + (-1793)\/(-597)). Let z = -1688 - f. Suppose 23*g = 28*g - z. What is the remainder when g is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 0 - 1\/2*o - 3\/4*o**4 + 3\/4*o**2 + 1\/4*o**5 + 1\/4*o**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/2 - 1) + -1. Suppose 17*y + 14 - 48 = 0. What is the smallest value in y, j, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 13 = 4*m + 15, 0 = -v + 2*m + 2. List the prime factors of 9\/v*12\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33730 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -19*k**3 + 5*k**2 - 10*k - 5. Let y(d) = -19*d**3 + 6*d**2 - 11*d - 6. Calculate -6*q(x) + 5*y(x).\nAnswer: 19*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231 + 164 + 164 - 263 + 171 + 9*w.\nAnswer: 9*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 293, 2432, 8265, 19646, 38429, 66468?\n\"Answer: 309*d**3 - 7*d**2 - 3*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -7 - (0 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110.93073925 - 0.349.\nAnswer: -111.27973925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*q - 53*q + 192 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/5, -4\/5, 0, 149 in decreasing order.\nAnswer: 149, 0, -1\/5, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (-45)\/6)\/((-9)\/(-12)). Suppose 28 = 2*i + 4*n - x*n, 2*i = n + 24. Solve -6 = -4*t + i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 47.7076 millennia?\nAnswer: 47707.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, f: 1, m: 2, n: 1, e: 4, s: 2}. What is prob of picking 2 e and 2 s?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -429 - -812. Let v = -382 + z. Which is greater: v or -0.003?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c + 4 = 24*c + 2*h, 3*h + 24 = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 215 + -188. Suppose 7*g - o - 1 = 0. Solve 0*v - g = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 88\/(-5) - 6\/(-10). Let p = w - -28. Let t = p - 9. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 + g**4 - 2*g**4)*(-3 - 2 + 7) + 21*g**4 + 38 - 38.\nAnswer: 23*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 23. Let w(a) = -13*a**3 - a**2 - 6*a - 8. Let l be w(-2). Calculate the greatest common factor of x and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/6)\/(-3 + 103\/34). Let m(g) = g**3 + 16*g**2 - 15*g + 41. Let j be m(d). Suppose 3 = j*q + 3. Solve 5*b - 2*b + 15 = q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -78*o**3 - 99*o**2 - 22*o - 4. Let m(u) = -157*u**3 - 198*u**2 - 43*u - 7. Let d(f) = 5*j(f) - 3*m(f). Factor d(z).\nAnswer: (z + 1)*(9*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14590*o + 2037*o - 894288 + 78343 = 0 for o.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncqq when four letters picked without replacement from nuufnunnuuquqnncq.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9469)\/1114*(-60)\/34.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/30 and (-726)\/(-9)*(-150)\/305000.\nAnswer: 9150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 264348 = 4150*k - 4145*k, u + 4*k - 264303 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Let z = -44\/287 - -18\/41. Determine u, given that -10\/7*u**4 + 10\/7*u + z*u**5 + 20\/7*u**w - 2\/7 - 20\/7*u**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179598263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/111 at most as big as 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*a - 27 = 0, -4*d - 415*a - 164 = -385*a for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.9? (a) 4\/2177 (b) 3 (c) 5 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-15 - -4) + -6) - 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 4*q**2 + 7*q - 8. Let k be l(-5). Calculate the highest common divisor of 39 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29 + -14 + -23 - (-15133 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11670 - -11670.0004883. What is x rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10190 + 3392 + 3403 + 3395 - 14463*o**2)*(3 - 2 - 2).\nAnswer: 14463*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-4 + 8 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + 6*v - 4. Let s be o(2). Suppose s = 5*z + 11 - 31. What is the remainder when 18 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1711*i**2 - 1709*i**2 - 142 - 7 + i + 3419*i**2 wrt i?\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39414 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201120 + 211?\nAnswer: 202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/24 and -55\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1686655, 3373259, 5059867, 6746479, 8433095?\n\"Answer: 2*i**2 + 1686598*i + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o + 51. Let u be f(17). Which is smaller: 16 or u?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 74*v + 1457. Determine l(-20).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 100101001100000000000?\nAnswer: 100101001100000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -599.7 rounded to the nearest 10?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/10)\/(17\/(-85)). Let b(p) = -7*p + 35. What is the least common multiple of (2 + -3)\/(2\/(-22)) and b(o)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2. Let z(b) = -4. Let k(r) = -r**2 + 3. Let j(l) = l**3 + 11*l**2 + 10*l + 3. Let m be j(-10). Let c(a) = m*z(a) + 4*k(a). Calculate t(c(y)).\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*d**3 - 144*d**3 + 98*d**3 + 89*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 = 31*g - 3*g + 355. Put -1, -6, -3, g, 5 in decreasing order.\nAnswer: 5, -1, -3, -6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g, 128 = -0*c + c - 4*g. Suppose m = -2*k + 460, -2*m + c + 800 = 2*k. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1010*t**3 + 20*t**2 - 43*t + 118. Is x(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*m - 3 = 0. Suppose -5*p = m*j - 93, 0 = 3*j + 2*p - 81 - 12. Calculate the remainder when j is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -4*n - 4, -3*m + 39*n - 42*n = 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**4 + 3*j**4 + 2*j**4 + (-5*j**3 + 0*j**3 + 3*j**3)*(3*j + 2*j + 4*j) + j - j + 2*j**4 as w + c*j**3 + l*j**2 + n*j**4 + x*j and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110*a**2 - 11*a**3 + 177*a**2 - 5*a**3 + 17*a**3 + 21*a**4 wrt a?\nAnswer: 504*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-419)\/(-6) + 9\/54?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.4 - -13. Sort 3, 5, m in decreasing order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*w**4 - w**3 + w**3 + 11*w + w**4 wrt w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*9\/42)\/((-12)\/84). Suppose -3*b + 27 = p*c - 36, -77 = -3*c + 4*b. Calculate the remainder when c is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -41 (b) 0.26 (c) -4 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/(-240)*(-15)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*y + 260 = 0, -s + 26 - 76 = 3*y. Let k = s + 87. Calculate the remainder when 69 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15213 and 4149?\nAnswer: 45639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4 - 3. Let l(u) = -u**2 - 9*u - 11. Let m be l(a). Suppose m*c - 107 = -x, 0 = 2*c - 3*x - 38 - 15. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j**2 + 0*j**2 - 3*j**2)*(-j**2 - 6*j**2 + 0*j**2) as x*j + f*j**3 + a*j**4 + r + t*j**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**3 - 5*b**2*v**2 - 327*b**2*v - 672*v**2 - 2*v with respect to b.\nAnswer: 3*b**2 - 10*b*v**2 - 654*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4227 + 1700?\nAnswer: 6127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 + 2*t + 1. Suppose u - 2*s - 6 = 3*u, 0 = -s - 1. Calculate the remainder when 49 is divided by g(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(2\/29)*(g\/(g*g**(-1\/27)))\/g assuming g is positive.\nAnswer: g**(-25\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 11 (b) -0.2 (c) -3\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 12 = 4. Suppose 0 = l*j - 5*j - 9. Let x(s) = -j*s + 5*s**2 - 6*s**2 + 3*s. Let z(y) = 4*y**2. Give x(z(c)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40, 445, 1558, 3733, 7324, 12685, 20170?\n\"Answer: 59*t**3 - 8*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5\/3 + 476*m**4 + 7858*m**3\/3 - 1430672*m**2\/3 + 2730552*m - 10746400\/3 = 0?\nAnswer: -707, -38, 2, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1634609 is divided by 529?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 164568 divided by -8?\nAnswer: -20571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {d: 1, e: 1, q: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102201 + -22211?\nAnswer: -202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -0.1. Let b = 24.038 - 0.038. Let u = -27 + b. Which is bigger: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15143 + 15143 - 3*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -545547?\nAnswer: 545541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 15 - 70 + 32 + 3*y**3 + 24 to the form s*y**2 + x + f*y**3 + l*y and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/6)*r**(2\/25))\/((r\/r**(2\/15)*r)\/r**12) assuming r is positive.\nAnswer: r**(469\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(121) - (sqrt(121) - 3*sqrt(121)))\/sqrt(11).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 8) to base 14\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 5*s**2 + 485*s = 0?\nAnswer: -97, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.01, -0.5, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -0.153, -0.01927?\nAnswer: -0.01927","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.15342675 to one dp.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1197519 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.4 (c) 4\/15 (d) 159 (e) 0.4 (f) 1 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/((-36)\/(-19)) - -2. Sort n, -0.5, 2 in decreasing order.\nAnswer: 2, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, v: 13}. What is prob of sequence vvz?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 168406, 337322, 506238, 675154?\n\"Answer: 168916*a - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -26. Suppose -6*p + 3*p = 2*f + 114, p + 285 = -i*f. Let x = f + 122. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-53)\/(5\/1 + -4). Let p = v + 113. Suppose 3*y - y = p. Calculate the lowest common multiple of y and 16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 3. Let u(p) = 10*p + 6. Determine -17*n(h) - 6*u(h).\nAnswer: -9*h + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - (1 - -4 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -269*o + 71*o - 1 - 725*o. Let h(i) = i. Give h(j(q)).\nAnswer: -923*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(400)*-1 - ((sqrt(50)*2 - sqrt(50)) + sqrt(50) - sqrt(50))\/sqrt(2))\/((sqrt(30)*2 - sqrt(30))\/sqrt(6)*1))**2.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*n + 747, -4 = 4*n + 8. Let q be 6\/21 - p\/364. Is q <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 98090 equal to 294269\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 1505 + 1638 = 0. Is h at most -451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-159)\/159)\/(-2*51\/(-12))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9357 + 74759\/8. Calculate the common denominator of p and 47\/130.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 22578?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) -262 (b) -0.209 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -756, -768, -794, -840, -912, -1016, -1158?\n\"Answer: -y**3 - y**2 - 2*y - 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 479013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*v + 32 + 6*v - 2*v - 6*v wrt v.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -44*f**2 + 12403*f + 1464. Calculate v(282).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -220, -635, -1332, -2377?\nAnswer: -3836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 33 = -3*m + 120, -m + 25 = 13*d - 14*d - 3*d for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10*k**3 + 2*k**2 - 2*k + 1. Let x be z(1). Let y be ((-2)\/(-3))\/((-3)\/x). Suppose 166 + 14 = y*m. Is 30 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107.6 + -18.6. Let i = 91.51 - d. Let f = 2.5099495 - i. Round f to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568 = -47*d + 145 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7618.151 litres in millilitres?\nAnswer: 7618151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 592.452 - 1.452. Let a = 590.999391 - w. Round a to five dps.\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 13602.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4185 + 568148082.07?\nAnswer: 568152267.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*24)\/((-69)\/(8 + -31)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*n + 10 = -5*n, -4*n - 113 = 19*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0 = -4, -m - 6 = 2*w. Let d = -4 - m. Is d equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = 11. Let m = 9 - b. Solve -m*z - 7 = 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 247.54 to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -7*k + 3*k. Is -2 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 6. Suppose -j*q - 5 = -17. Suppose -3*f = -4*f + q. Solve -h = f*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1415*a + 10668 + 28339 = -13370 + 5682 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -409 divided by 16\nAnswer: -409\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a\/(a**(3\/2)*a)))\/(a*a**5))\/(a**(3\/2)\/(a**(-2)*a)))\/(((a*a*a*(a\/a**(-4)*a)\/a*a*a)\/a)\/(a*a*a\/(a**(-5)\/a)*a))**(-2\/35) assuming a is positive.\nAnswer: a**(-177\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2 - m. Let l be t(2). Solve -3*z = -4*z - 1, -2*z = -4*r + l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*v - 158. Let q = -75 - v. Let i = -68 - -341\/5. Put q, -5, i, 0.4 in descending order.\nAnswer: q, 0.4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 29 = 1. Let w = q - 6. Let l(m) = -5*m + 4*m + w - 4. Let d(i) = -2*i**2. What is d(l(p))?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**4\/4 - 115*v**3 - 578715*v**2\/4 + 869645*v\/2 - 290030 = 0. Calculate v.\nAnswer: -299, 1, 2, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 (base 4) in base 10?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 + 77. Calculate the remainder when 42 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j. What is the lowest common multiple of r(-4) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -36. Let b(i) = -2*i**3 + 11*i**2 + 21*i - 23. Let p be b(6). Let c = p + s. What are the prime factors of c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0*c + 0 - 1\/2*c**3 + 1\/12*c**4 + 1\/60*c**5 + c**2. What are the prime factors of s(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**2 - 19*t - 450. Let a(k) = k**2 + 2*k + 2. Let l(i) = 10*a(i) + q(i). Differentiate l(u) with respect to u.\nAnswer: 8*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 31*s - 46. Let c = 270 - 265. Does 4 divide i(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 542 and 62?\nAnswer: 33604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 2. What is z(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33623 divided by -166?\nAnswer: -33623\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -203260 bigger than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 2*g + 7 + 7 + 0.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2 + 2. What is the derivative of -5*z**4 - j + 5*z**4 - 2 - 3*z**4 wrt z?\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, 0.16, -15?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**6\/10 - v**5\/6 + 18*v**2. Find the third derivative of u(d) wrt d.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3510\/520)\/(27\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5441 - 1763. Suppose d = 5*l + l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, k: 2, f: 1, v: 4, r: 1}. Give prob of picking 1 u and 1 f.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 7*z**2 + z - 9. Let d be k(7). Suppose 2*f - 12 - 8 = 0. Let m = f + d. Are 8 and m non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) + (sqrt(117) - (-1*sqrt(117) - sqrt(117)))*4)*-6*-3)\/((-3*sqrt(27))\/sqrt(3) + sqrt(27)\/sqrt(147)))**2.\nAnswer: 8719893\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 130 = 5*d, 0*r - 64 = -2*r - 5*d. Calculate the lowest common multiple of r and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3771, -2 in increasing order.\nAnswer: -3771, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Suppose -l + x = -18. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvvvfrryvvrrvfydy. What is prob of picking 1 f and 3 v?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 10:09 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -9. Suppose -3 = -s - l*s. Solve -s*w + 5*w = 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2958.1 times 0.07\nAnswer: 207.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6651.1 times -0.5\nAnswer: 3325.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - u**2 - 22*u + 28. Give f(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 2401?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*s*t**2 - 16125*s*t - 949051678*s - 6*t**2 - 69*t wrt t?\nAnswer: -8*s*t - 16125*s - 12*t - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 20*t - 1. Let o be y(1). Let k = 48 - o. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1081082?\nAnswer: 2, 540541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 529451447 to the power of 1\/3, to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/1 + 2 + 75. Let i = 33 - 23. Suppose -4*r = -18 - i. Calculate the greatest common factor of w and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by -8*(9 - 6 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6*w - 12 = 0. Suppose -1 = -b + 3*a + w, 55 = 2*b + 3*a. What is the remainder when 77 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00541061951 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16177, 64767, 145769, 259183?\n\"Answer: 16206*c**2 - 28*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11106540, -11106534, -11106528, -11106522?\n\"Answer: 6*l - 11106546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -9*j + 2. Let s be y(0). Solve -s*f - 4 = -12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 792942*u + 792941.\nAnswer: (u - 792941)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 72*k + 602. Let a be s(-43). Let l(o) = -o - 4 - 4 - 3. Determine l(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/2)\/1*(-11)\/44)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1692, 13476, 45466, 107766, 210480, 363712, 577566?\nAnswer: 862146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/8 + (-1)\/4. Let p be n\/(-8) - (-5)\/2. Solve 4 = p*s - 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 23, -10, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.32 - -48.22. Let y = 43 - k. Let x = -2 - y. Put x, 3, -2\/9 in ascending order.\nAnswer: -2\/9, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-2) + 3\/2. Let g(y) be the third derivative of -y**5\/60 + y**4\/3 + 13*y**3\/2 - 11*y**2 + 3*y. List the prime factors of g(a).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10310, -41137, -92476, -164333, -256714, -369625?\n\"Answer: -r**3 - 10250*r**2 - 70*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -20235*s - 1135406 + 1135406 in the form q*s + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, 5\/2, 124138?\nAnswer: 124138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17092 + 4 = -12*a. Let g be ((-21)\/(-15) + -1)*-5. Is (g - a\/(-6)) + (-11)\/33 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbbg when four letters picked without replacement from gzgbbzgzbl.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10894 - 21*g + 10894)*(-1 + 2 - 3) to h*g + x and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - w**3 + 0*w**2 + 4*w**2 + 5*w**2 as m + p*w + x*w**3 + d*w**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**3 + 4*y**2 + 2*y. Let g be ((-64)\/(-80))\/(1\/5). Let h(s) = s**3 + s**2. Calculate g*h(d) - i(d).\nAnswer: d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1512606 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 20\/27, -0.1, -3, 5\/4, -1\/29?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 2*x - 5*k, -98 = -x + 11*k - 10*k. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, -1.5, 24.52?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z - 2. Suppose -398*b - 42 = -419*b. Let v(c) be the first derivative of -1 - b*c - 3\/2*c**2. Calculate -6*i(k) + 7*v(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78861712.\nAnswer: 2, 4928857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**4\/4 - 17*p**3\/6 - 2*p**2 + p. Let y be (3\/(-6))\/(2\/20). What is the remainder when n(y) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*x - 78, -5*p + 5 + 10 = 0. What is the remainder when 159 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 345356112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a factor of 5052828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 11974110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3 = -1. Let p = -6 - -9. What is the second biggest value in w, -1, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90028657?\nAnswer: 90028657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 252330307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95354.000055651 - -95354. What is j rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 7 + -4 + (-2)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*i = 72*i - 162. Calculate the remainder when 194 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 170*p - 2. Let w be r(1). Let k(s) = s**3 - 3*s**2 - 2. Let x be k(4). Let h be (x\/(-8))\/((-3)\/w). What is the highest common factor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 + 335*d**2 - 450*d + 9639. Calculate l(-169).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66826420*r**2 - 66826419*r**2 + 1 - 1.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (14*10\/(-30))\/(3\/(-9))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2)\/(2\/4). Let f = -1 - m. What is the derivative of -f + 3 - 2 + v**4 wrt v?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 2*u + 30. Let z be (-1 + 3\/u)*0. Suppose 2*b - 98000 = -z*b. Round b to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/((-2)\/((-8)\/(-3))). Let x = -9 - z. Suppose 2*l - 19 - x = 0. What is the greatest common factor of l and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -215911 (c) 31\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*d + 0*d = 904, -3*d = -n + 226. List the prime factors of n.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.8 - -55.2. What is the second biggest value in 2, -20, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1924 * 0.7\nAnswer: 0.83468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74500950 and 1.\nAnswer: 74500950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5086*l - 3005 wrt l?\nAnswer: -5086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -12*f + 552. Let g(r) = 17*r - 827. What is -5*g(t) - 7*l(t)?\nAnswer: -t + 271","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 3*p - 5. Let j(f) = -f**2 + 4*f - 5. Let t(r) = 4*j(r) - 3*q(r). Give t(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 143070 or -57?\nAnswer: 143070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n**2 + 24*n - 8. What is h(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 10 - 21 + 0*m - 8*m + 5*m + 11.\nAnswer: -3*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12 - 10 - (-36)\/(-19). Which is the nearest to 1? (a) 0.3 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34731009 + 0.01.\nAnswer: -34731008.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 35*w**2 + 224*w - 8969. What is n(34)?\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.279997596 - -825.\nAnswer: 824.720002404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100*s**6 + 24*s**2 + 2*s?\nAnswer: -12000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9 = n. Suppose h - 24 = -n*h. Calculate the highest common factor of h and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 3311\/1222?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -9. Let s be -8*((-34)\/(-36) - m). Let o = s - -458\/63. Which is the smallest value? (a) o (b) -2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2387 - 3236 = -213*z + 3198 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 5*k**2 - 2*k - 5. Let c be q(3). Suppose 4*p - 3 = c*p. Let d be 2 - -1*(0 - p). Put 5, d, -4 in increasing order.\nAnswer: -4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151623185.\nAnswer: 5, 7, 4332091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4567 in 2, 1.25, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0265234 and 2.733.\nAnswer: 2.7064766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2799606.\nAnswer: 2, 3, 23, 20287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1152)\/864*3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169603182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -189, -380, -559, -720, -857, -964, -1035, -1064?\n\"Answer: u**3 - 198*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + t - 4. Let c be x(-3). Let d = -6 - c. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + r**4 - r**4 + (0*r**3 + r**3 - 2*r**3)*(3*r - 3*r - r) + r**4 + 3*r**4 - 6*r**4 + 13*r**4 - 3*r**4 + 9*r**4.\nAnswer: 17*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -417 + -1565367386?\nAnswer: -1565367803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -283*o**4 - o**3 + 2*o**2 - 14393*o wrt o?\nAnswer: -3396*o**2 - 6*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 1 - (-56212)\/(-1058). Let h = -55 - l. Which is smaller: 1\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 2. Let x(d) = -d**2 + 10*d - 5. Let v be x(9). Suppose s = 6 - v. Solve 2*q + s = 2*r, -k*r = q - 3 - 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 417*w + 418*w + 88 - 1271*w + 424*w. Calculate t(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from taactttzztttctct?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21643*s - 146 - 21644*s - 221.\nAnswer: -s - 367","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.04 + 2. Let k = -0.36 + t. Suppose -4*s + 0*s = 16, 4*m + 3*s = 0. What is the smallest value in m, 2\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**3 - 12 - 5*n**2 + 15*n**2 - 13*n + 0*n**2 + 2*n**3. What are the prime factors of r(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110 - 11001000?\nAnswer: -101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**6\/18 + 2*x**5\/15 - 11*x**4\/12 - 4*x**3\/3 + 6*x**2 + 22. Factor g(b).\nAnswer: b*(b - 2)**2*(b + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 11*t**2 - 7*t - 4. Let h be u(10). Suppose 3*n + 1 + 69 = y, -2*n = -2*y + 52. Let j = n + h. Solve -i = -j*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h*h**(-3))))\/h)\/h)**31\/(h**8*h**16) assuming h is positive.\nAnswer: h**(-148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27680492 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 4917\/1229?\nAnswer: 4917\/1229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11223 and 3915?\nAnswer: 168345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429 = 15*p - 309 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 500*t**2 - 2*t + 1. Let b be n(1). Suppose 2*h - 7*h + b = -2*m, -2*h + 200 = -m. What is the highest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -449*d - 1. Let w(h) = 6*h - 80786. Give w(t(i)).\nAnswer: -2694*i - 80792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 13) to base 10\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1247017508.\nAnswer: 2, 11, 101, 280607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 17. Let z = 287 - 280. Calculate u(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 54247716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**5\/12 + 3*g**2. Let r(f) be the second derivative of -f**4\/12 + 3*f. Calculate r(c(y)).\nAnswer: -25*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + y + y)*(1 - 7 + 2 + 4*y) + 37*y**2 + 4382 - 4382 to the form r*y**2 + g*y + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -58*x**2 - 340*x + 400. Calculate v(-7).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2251170141?\nAnswer: 3, 11, 17, 19, 211199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1020, -1861, -2702, -3543, -4384?\nAnswer: -5225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/10 + 4\/35. Suppose -10 = -3*q + 8*q. Let v = 2 - 1.6. What is the closest to i in v, q, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 27 = -2*g, -4*v - 56 = 5*g - 0*g. Let c(r) = -r**2 - 13*r - 8. Let z be c(g). Solve z*n = 3*j + 8, 4*n + 15 = -3*j - 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 7 - 19)*(0*d - d - d)*(1 + 1 - 4) to the form j*d + n and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2943326 is divided by 981105.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(1 + 3)*1. Let l = 8 - b. Suppose o + l*o = -25. Is o greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9 - 117) + -8)*38\/(-4). Suppose 17*p - t = 257. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/7 + (-4)\/14. What is the third derivative of -u**2 - u**x + 3*u**3 - u**2 wrt u?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**44*i*i**(-8) assuming i is positive.\nAnswer: i**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 379 divide 7582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 14 = -3*y, -4*q - 26 = -11*y + 6*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39\/4 + 19\/2. Let i = -1 - -1.03. Let n = 0.53 - i. What is the nearest to q in -4, 1\/6, n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684143 is divided by 49.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d + 753*d + 435*d - 4800 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 + 27*h**2 - 17488*h + 139198. What is f(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/7 - 732*d**2\/7 + 2175*d\/7 - 1446\/7.\nAnswer: 3*(d - 241)*(d - 2)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 21\/(-23) + 0. Let j = -0.065 + -0.06. Let y = 2.875 - j. What is the nearest to 0 in y, g, -3\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times -0.9\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 4*o = -5*o. Solve 7*a = 4*a + j + 7, -a - 3*j - 1 = o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -4*s + 3*g, 7*s - 8*s - 15 = -5*g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -59*y**8\/336 + 121*y**4\/24 - 23*y**2. Find the second derivative of m(r) wrt r.\nAnswer: -1180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.509 - -22.509. Which is the second biggest value? (a) 1\/2 (b) -1 (c) w (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -288, -46, 142, 282, 380, 442, 474, 482?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21904\/(-77256)*-348 + (-4)\/6.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31256.9085 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-8))\/(13\/3*7083\/20462)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 155 = 3*p. Let c = -64 + p. Let r = c - -62. What is the remainder when r is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-10))\/((-16)\/40). Let b be -341 - 0 - (n - -1). What is b rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h + 7*h + 154 = 5*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/30 - u**4\/24 - u**3\/2 + 2*u**2 + 50*u. Calculate j(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 230 - 231. Let m = -3 + 3.1. What is the closest to f in 5, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 280919?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26870\/357 + -8798\/119. Suppose -l*y**4 + 40\/3*y + 52\/3*y**2 + 8\/3*y**3 + 0 = 0. What is y?\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrvrtvrvttrrrrrvtr. What is prob of picking 2 v?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3)*(2 + 3*s - 2) + 272 - 272 - 4*s - s + 2*s + s + 1 - s - 1 + (2 - 1 - 3)*(0*s - s + 3*s) - 1 - s + 1.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 213143, 213125, 213107, 213089?\n\"Answer: -18*p + 213161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -435160 divided by 3784\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -6) + (-15 - -12) + -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = -63 - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(5\/60*-15)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 40?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -163. Let h be ((10\/6)\/((-4)\/v))\/(-1). Suppose 13*u - 15*u = -h. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from {u: 1, g: 1, r: 1, c: 1, p: 2, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12468576?\nAnswer: 2, 3, 23, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 + 17*k**4 + 18*k**3.\nAnswer: -k**3*(k - 18)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 3. Let l = -483 - -485. Let n(k) = k**2 + 0*k - 2*k - 4*k - 10. Determine l*n(f) + 7*o(f).\nAnswer: 2*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501339 times 0.48?\nAnswer: 720642.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.9 (b) -47.36 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p + 9. Suppose -7*x = x - 96. Let l be o(x). Let i be (-10)\/65 + (-12954)\/l. Round i to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18650542?\nAnswer: 2, 9325271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**3 + 50*v**2 + 155*v + 150 = 0. Calculate v.\nAnswer: -5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9*-3)\/((-4)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**2 - j**2 - j**2)*(-6*j + 18*j**2 + 6*j) to f + g*j**3 + s*j + q*j**2 + x*j**4 and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -140, -356, -662, -1058, -1544, -2120?\n\"Answer: -45*i**2 - 81*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 373733.077 to the nearest 10000.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a7 (base 12) in base 6?\nAnswer: -2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, d: 3, c: 6, h: 1, b: 2}. Give prob of picking 2 c, 1 d, and 1 g.\nAnswer: 45\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 156 in -4\/3, -0.1, -0.3, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**4\/24 + 2*m**2. Let j be 8*2*(-3)\/(-12). Let k(d) = -3*d**2 + j*d**2 - 5*d**2. Give k(n(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*p + 15 = 0, -4*p = 4*n - 2*n - 6. Suppose 5*v = -x + n, 3*v - 1 - 1 = -4*x. What are the prime factors of x*(-8)\/10*(-1505)\/(-14)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 3, f: 5, v: 6}. What is prob of sequence sx?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 + 7*i**2 - 17*i**2 - 6*i**2.\nAnswer: -23*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 52\/8 - -3)*10. Suppose 2*c - 5*t = -0*c + 20, -f*c - t + 23 = 0. Suppose -2*k + 14 = 6. Solve k*r + 0 = -3*m + 2, 5*r = -c*m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3125 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 13 - (2 + 10). Put 4, 3, 5, -3, o in ascending order.\nAnswer: -3, o, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -10*c**2 + 4 + 11*c**2 + 8*c**2 - 10*c**2 + c**3 - 3*c. Give i(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -47. Suppose -4*q = -5*b + 111, 0 = 2*q - i*b + 13 + 40. Let d = 62 + q. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313684 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 6*y - 29 = 25*y - 20*y, -n - 5*y = -25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 558919.8 hours in nanoseconds?\nAnswer: 2012111280000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 46 + (-501 - -366)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57772\/(-11)*1*(-2)\/4.\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*i**2 - 36*i**2 + 50*i**2.\nAnswer: 63*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.28 - -0.22. Which is the closest to 0.1? (a) 3 (b) -1\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 - 3*x + 7. Suppose 28 = 7*c - 11*c. Let k(s) = 3*s**2 - 2*s + 6. Calculate c*k(m) + 6*z(m).\nAnswer: -3*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(4*n + 8 - 8)*(-6000 + 6000 + 15*n**2).\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -49*c**2 + 4263*c - 687. Calculate k(87).\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3 + 12*f**2 - 35*f = 0. What is f?\nAnswer: 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/430 + (-4618)\/99287.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 65, 24, 3\/2 in decreasing order.\nAnswer: 65, 24, 3\/2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15990 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + (sqrt(567) - -2*(3*sqrt(567) - sqrt(567))))**2.\nAnswer: 20412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, 4, 20, -2, -3.\nAnswer: -115, -3, -2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2937.\nAnswer: 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auxsspu. Give prob of picking 1 x and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*t + 26 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2722 = -5*x + 2703, -4*c - 5*x + 2 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 4 = 32. Let s(t) = 26*t**2 + 3*t - 13*t**k - 10*t - 12*t**2. Give s(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 237 + -234. Suppose -b*o - 2473 = -19972. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 5, 0.01, -7, -0.02?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 9160 - 4113 = 2*a, 0 = -b + 3*a - 13278. Let h = b - -9035. Round h to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 12 = p, p + 4*p - 2*d = -14. Suppose -2*w - w = 5*q - 4, -5*w = 10. Is 223 - p - (4 - q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296 divided by -37.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 229321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**3*z**2 - 2*f**3*z - 3042*f**2*z**3 + 2*f**2*z + 2*f*z + 8670 wrt z.\nAnswer: 4*f**3 - 18252*f**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35004 less than -341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*t - 206*t - 37560 = -266*t - 8890 for t.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5922190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*x + 5*x = 143*x + 11437 - 853 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1380900, -1380899, -1380896, -1380891, -1380884?\n\"Answer: p**2 - 2*p - 1380899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*p - 3. Let h = 1 - -4. Let i = h - 1. Which is the nearest to -1\/2? (a) i (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + 1 + -30 - (-32 + (4 - 1)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(1\/5)\/d*d*d*d**16)\/(d\/((d*d**3*d)\/d*d*d))**7 assuming d is positive.\nAnswer: d**(271\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 29*c**2 + 2*c. Suppose -15*p + 341 = -14*p. Let k(a) = 4929*a**2 + 341*a. Let s(h) = p*t(h) - 2*k(h). Let o(w) = 3*w. Determine s(o(r)).\nAnswer: 279*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 15*g**2 + 19*g. Let n = 218441\/99198 - -3\/1837. What is the common denominator of n and y(-6)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 5) in base 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -61, -63?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*b - 4084, 0*g + 5105 = -5*g + 4*b. Let d = g - -1467. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32622 is divided by 1481.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -5*w + 24*w. Let m(v) = -12*v - 31. Let x be m(w). Suppose 5*n = 3 + 7. Solve 0 = 5*l - 5*q + x, -3*q = 5*l - n*q - 25 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w. Let l be (-2)\/7 + 384\/21. Suppose 0*h = -5*q + 2*h - l, -14 = -3*q - 5*h. Let y be t(q). Which is the closest to y? (a) -6\/11 (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -18 and 2.251132649.\nAnswer: -15.748867351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 0 - 4*x + 1\/3*x**3 + 0*x**2. Let n(t) be the second derivative of t**4\/4 - 85*t. Determine n(v(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p. Let m(d) = d**3 + d**2 + d + 15. Is m(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20411302 to the power of 1\/2, to the nearest integer?\nAnswer: 4518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*w - 43 = 0, 0*i + w - 1 = -i. Let f(r) = -5 + 14*r**3 - 8*r**3 + i. Calculate f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100111011110111000000 (base 2) to base 16\nAnswer: 13bdc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n + 1. Let z be o(-2). Let i be 55\/z + -3*1. Factor -7*w**3 + w**4 - 4*w**i + 6*w**5 + 7*w**4 + 5*w**3.\nAnswer: 2*w**2*(w + 1)**2*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 3*w - 2*w**2 + 0*w**2 + w**2. Let j be o(-6). Let f = -12 - j. Solve f = -0*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/4290*-39*(-16)\/(-36)*30.\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77028 and -30.\nAnswer: -2310840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - -114. Let q = -32 - -52. What is the greatest common factor of q and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 327, 285, 241, 195, 147?\n\"Answer: -d**2 - 39*d + 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107525, -215048, -322571, -430094, -537617, -645140?\nAnswer: -752663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 759 = 756 - 1539 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**6*y - 579*q**4*y**2 - 979*q**2*y**2 + q**2*y wrt q?\nAnswer: 120*q**3*y - 13896*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31463 - 7478 - 49764 + 36696 - 21210 - 55489)*(-3*y + 0*y + 4*y).\nAnswer: -128708*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t**3 + 5*t**2 - 5*t + 5. Suppose -j + 4 = 1. Let r be 15\/(-10)*(-10)\/j. Let x(z) = -3*z**3 + 2*z**2 - 2*z + 2. Give r*x(w) - 2*g(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * 0.01.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431496 = 8*j + 25*j - 15*j. List the prime factors of j.\nAnswer: 2, 13, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30577528 is divided by 192.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 5*z + 29. Let b be g(-8). Solve -12*w = -7*w + b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i - 291 = -30*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-280))\/(1\/(-2))*(-96)\/(-28)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2450.8551877 - -2450.84. Round h to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-765)\/1224)\/((-105)\/48)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.84 - -570285.\nAnswer: 570285.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = f + 3. Suppose -4*g = 3*q - 20, 2*g + 40 = 6*g - f*q. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + n + 6. Let h(z) = 2*z**2 - 2*z. Let k be h(n). Suppose -4*v + k = -4. Solve -v*m + 4*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/(m*m**(1\/5))*m*m**3)**(-24))**(-5\/9) assuming m is positive.\nAnswer: m**(232\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20844 and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**4\/12 + 3*f**2. Let n(r) = -5*r**2. Calculate n(v(u)).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242541.\nAnswer: 3, 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.1 less than -46?\nAnswer: -15.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-17)\/10 - 12\/(-60)). Let g(k) be the second derivative of 0*k**3 + 1\/4*k**4 - 5*k + 0 + k**z. What is the first derivative of g(s) wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6023410.\nAnswer: 2, 5, 602341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.7, 4, -5587, -1, 0.6 in decreasing order.\nAnswer: 4, 3.7, 0.6, -1, -5587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5701 greater than or equal to 96923\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 699 = 4*r, -22*r - 240 = c - 21*r. Let z = -172 - c. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzdzzdz. Give prob of sequence zd.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 266? (a) 0.2 (b) -3 (c) 188906\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 8330676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 139, 322, 635, 1090, 1699, 2474, 3427, 4570?\n\"Answer: 2*h**3 + 53*h**2 + 10*h + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37997560977\/22 + 1735539917. Let o = y + -8374438. Let g = o + -3618. Calculate the common denominator of -35\/8 and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -4282448.\nAnswer: -5\/4282448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 - j + 186 + 2611)*(3 - 5 + 0).\nAnswer: 2*j - 5476","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2404*l**3*u*v**2 - 3*l**3 - 31*l**2*u*v + 4*l**2*u + 38*l**2*v - 216*l*u*v**2 + 3*l*u - u*v**2 wrt v.\nAnswer: 4808*l**3*u - 432*l*u - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.4 + -3.4. Sort 0.4, c, -2\/11, 1 in descending order.\nAnswer: c, 1, 0.4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 87. Let z = y + 50. Let h = z + -20. What is the nearest to 0.1 in 0.5, h, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 111\/1443 + (-125)\/(-65) + -1. Suppose -5*y + 12 + 8 = 0. Let g = y - -22. Which is greater: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 796642 = 2*p + 796706 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 17 = c, 2*g + 2 = -3*c + 13. Let s(u) = g*u**2 - u**2 + 0*u**2. Let t(i) = 5*i - i - 2*i. What is t(s(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 45, 52, 59, 66?\n\"Answer: 7*w + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 12:42 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 + 51*b**2 - 26*b + 85. Let n be y(-26). Differentiate 41 + 55*w + n - 173*w wrt w.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykjdxpdkxxdd. What is prob of sequence kkp?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 34 = -3*f, -5*l = -f - 0*l + 28. Suppose -2*q + 17 = w, -w = f*w + 5*q - 53. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Let v(u) = -12*u**5 + 14*u**4 - 6*u**2 - 4. Let x(s) = -11*s**5 + 14*s**4 - s**3 - 5*s**2 - 3. Let f(j) = k*v(j) - 4*x(j). Factor f(b).\nAnswer: 2*b**2*(b - 1)**2*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 + -53. Let h be (8\/(-8))\/((-2)\/c). Suppose -28 - h = -6*d. Solve 0 = 3*n - d*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 596?\nAnswer: 12516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*h = 100*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35640014.\nAnswer: 2, 29, 614483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3060216 by -1020072.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/7 (b) 4\/5 (c) -21079\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -5.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = j + 14*w + 2 + 40, 3114*w - 9 = 4*j + 1559*w + 1558*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -120, -311, -504, -699, -896?\n\"Answer: -m**2 - 188*m + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87408981 and 29799?\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12618 is divided by 4157?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (10\/2 + -3)\/(((-96)\/(-90))\/(-8))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + w - 4 = 0, 2*m + 2*w - 10 = -26. Let a be (11 + -8)\/((-3)\/m). Suppose 2*s + 48 = a*z - 2*s, 0 = -4*z + 5*s + 49. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Suppose -2*n + s*n = 0. Let x be -2 - 26\/(n + -1). Solve a - 5*u + x = 0, -2*a - 4*u - u = -27 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - n**3 - 3*n + 0 + 0*n + 3*n**3 + 2*n**3 - 3*n**3 + (2 + 4 - 5)*(2*n**3 + 3 - 3) - n**3 - n**3 + 0*n**3.\nAnswer: n**3 - 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-3)\/1 + 0. Let r(o) be the second derivative of -40*o**3\/3 - 9*o**2\/2 + 3135*o. What are the prime factors of r(i)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1923*k**3 + 64*k**2 - 64*k**2.\nAnswer: 1923*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6*v = -28. Let b = 18 + v. Solve -b*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4964 + 2*f + 0*f**2 - 4964 + f**3 - 7*f**2 - 7*f. Give a(5).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 0 + 0 + 0*r**2 + 5*r - 3. Let w be c(-5). Is -1*(1 - (-150)\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/((-226)\/(-565)*(-2)\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119936?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -0.3. Let p be (-33)\/((-33)\/(-2)) + (-160)\/(-74). Let w = p - 203\/111. Which is the smallest value? (a) -1 (b) 5 (c) f (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 7 + 75)*(0*j**2 + j**2 + 0*j**2).\nAnswer: 57*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4*q + 1072, 3*q - 1354 = 5*s + q. Let j = 267 + s. Sort 2, 105, j.\nAnswer: j, 2, 105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 9 - 1106654*l**3 + 19.\nAnswer: -1106654*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 4302393.3542142?\nAnswer: 4302395.3542142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/(-44) - 228645\/(-99) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsrrrssmrmmmmrrmsrrr. Give prob of picking 1 m, 1 r, and 1 s.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 121933791041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89 or -2\/37?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 133144 (base 6) in base 5?\nAnswer: 344001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -700*i**2 + 705*i**2 - 10 + 19 + 1 - 10.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -1 - (-85)\/17) + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 1225, 2771, 4935, 7717, 11117, 15135?\nAnswer: 19771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 - 2*q - 5. Let l(n) = -17*n**2 - 7*n - 25. Let f(h) = -9*a(h) + 2*l(h). Let t(r) = -3*r**2 - 3*r + 4. Calculate 4*f(y) + 5*t(y).\nAnswer: -7*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-6\/7)*t)*t**(-3) assuming t is positive.\nAnswer: t**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h - 3. Suppose 0 = 3*i - 2*i - 4. Let m = i - 14. What is the tens digit of l(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 4*v**2 + 2*v. Let y(k) = -k**3 - k**2 - k. What is -r(t) - 2*y(t)?\nAnswer: t**3 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/4*36\/459. Suppose -20 = 4*y - 0*y. Which is the closest to 2\/3? (a) t (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = -5*r - 509, 2*t - 145 = -2*t - 4*t + 13*t + 275 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + -1010000101000?\nAnswer: -1010000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (1 + -6 - -29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-24)\/((-4032)\/(-552))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1599 + -1602. Let r = 0.06 + -0.16. Which is the third smallest value? (a) r (b) 3 (c) p (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*m + 108, -4*w - 3*m = -8*m + 145. Let a be ((-14)\/w)\/(5*1\/1). Suppose 2*f = -3 + 1. Which is greater: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 * 1\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -755891.\nAnswer: 13\/755891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0299538 rounded to 3 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 5*x**2 + 2*x - 6. Let j be 0\/(-6 + (8 - 6)) + 5. Determine l(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21126 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 2:15 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 11:17 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 5) to base 4.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/10 - o**2 + 16*o\/5 - 16\/5.\nAnswer: (o - 4)**2*(o - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -11, -5 in descending order.\nAnswer: 4, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31527 is divided by 75?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/8 + 2)*-2. Let m = 51 - 157. Let u = m - -107. Put z, -2, u in descending order.\nAnswer: z, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from tttttdttdttttdtttt.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**5 - 836*x**4 + 97264*x**3 - 3947286*x**2 + 53431119*x - 49580262 = 0?\nAnswer: 1, 27, 51, 706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/59 or 188529.8?\nAnswer: 188529.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(-1*sqrt(242)) - (sqrt(77)*-1*-6)\/sqrt(11).\nAnswer: -67*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-7)\/k)\/k*k**7\/k*(k*k*k\/k**0)**14)**(-25) assuming k is positive.\nAnswer: k**(-975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -17*p + 7. Let l(j) = -9*j + 4. What is -4*f(a) + 7*l(a)?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (600\/(-18))\/20*(-48)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**5\/7 + 1038*a**4\/7 - 10978*a**3\/7 + 10698*a**2\/7 + 58502*a\/7 + 5112 = 0 for a.\nAnswer: -1, 4, 9, 497\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.13, 41, -2\/11, 1\/4, -16?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 554 by 5.\nAnswer: 554\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03926 and -36?\nAnswer: 1.41336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - 708*t + 708*t.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, g: 1, k: 1, u: 1, r: 2}. What is prob of picking 1 r and 3 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2602 + 65?\nAnswer: -256a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24280 times 298?\nAnswer: -7235440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 282 = 34*v + 3*t, -3*t - 30 = -259*v + 262*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + (-88)\/(-36))\/(4\/6). Which is the nearest to 1\/2? (a) 1\/8 (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = t + 102301, 6*n + 5*t = 3*n + 102295. Round n to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222049 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 3*f + 0*f + (2*f + 2*f - 3*f)*(0 + 3 - 4))*(4*f**2 + 5*f**2 - 4*f**2)*(9 - 3 + 6).\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-18)\/(-15))*(-8)\/(-30). What is the second biggest value in i, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - l - 3 = 0, -13831*j + 12 = -13829*j - 4*l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.2338571.\nAnswer: -0.11692855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5536868 divided by -1384217.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - 61. Suppose g + 14 = 6*a, -5*g - 23 + 17 = 2*a. Sort -3, -74, q, a in increasing order.\nAnswer: -74, -3, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*l + 20. Let b = l - -6. Let t be 11\/2 + (-2)\/4. Solve -r + 3*r - t*u = 4, -r = -u - b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 5:24 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 2*b + 1\/12*b**4 + 1\/2*b**2 + 1\/3*b**3 + 0. Factor j(o).\nAnswer: (o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/9*(2 + -1)*0. Let i(t) be the first derivative of k*t**3 - 4\/5*t**5 + 0*t - 1\/2*t**2 + 0*t**4 + 3. Find the second derivative of i(g) wrt g.\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/9)\/((-2)\/6). What is the common denominator of (v*57\/(-2))\/20 and 113\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -178*j**2 + 51*j - 59. Give m(3).\nAnswer: -1508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000100100111 + -110?\nAnswer: 11000100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*b + 1 + 4, -4*b - 2*k = 2. Suppose b = 4*x - 0*x. Suppose y - 2 - 2 = x. Calculate the smallest common multiple of y and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 14. Calculate the highest common factor of 24 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5813831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/6, -5\/2, 1, -2\/7 in decreasing order.\nAnswer: 1, -0.1, -1\/6, -2\/7, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 140111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11791449.\nAnswer: 3, 317, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l**5 - 48652*l**4 - 16128*l**3 + 356768*l**2 + 64704*l - 648640 = 0. What is l?\nAnswer: -4054, -2, 5\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/((-1)\/(-6)). Suppose -6 = 4*w - g*y + y, 4*w - 5*y - 2 = 0. Suppose -m = -2 - 2. What is the third smallest value in -1, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4826, 4842, 4876, 4934, 5022?\n\"Answer: g**3 + 3*g**2 + 4822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1127.6 - -1128. Sort -1\/3, -1.77, c in descending order.\nAnswer: c, -1\/3, -1.77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 + -3.7. Let k = u + 0.5. Let l = k - -2. Which is the second biggest value? (a) l (b) 3\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3317956320 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 8*s + 7. Let x be p(-8). What is the remainder when x\/(4\/(-8)*-2) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 9:10 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-45) - (-23)\/5. Suppose x + 5 = 5*t. Which is bigger: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (5300092\/(-219))\/((-2)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = -5*h. Let p be (h\/(-6) + (-284)\/(-24))*4. Suppose -c + 24 - 4 = 0. Calculate the greatest common divisor of p and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93890 = -3298*b - 10065 - 88568 + 7835 for b.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + u**2 - u + 1. Let n(j) = 6*j**3 - 33*j**2 + 52*j + 121. Let g(d) = -n(d) - 5*p(d). Let h be g(26). Solve -h*f + 22 = 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 + -111. Find the third derivative of -7*i**2 - g*i**3 - 7249*i + 7249*i wrt i.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5089368451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -4.1 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -111 and -124526790.\nAnswer: -124526901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 325383331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x + 188070 = 187104 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2\/9 + 430*l\/9 - 284\/3 = 0.\nAnswer: 2, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001010100111000011101100 - 10000?\nAnswer: -11001010100111000011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -154\/5 at least as big as 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 7*t + 4. Suppose 4*f + 18 = 4*a - 2, -3*a - f = -19. Suppose -g + a = t. Sort -3, g, -2, 3 in ascending order.\nAnswer: -3, -2, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1502 + 1514. Sort y, 5, 0 in decreasing order.\nAnswer: y, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5675?\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 17, f: 1}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-61 - -25) + 2 + 4. Calculate the least common multiple of 303 and (-3)\/10*1*b.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1518)\/154)\/23 - 220226\/(-14) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9073.273km in centimeters?\nAnswer: 907327300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7a96a (base 14) to base 9\nAnswer: 504054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*o - 3. Let c = 0 + -2. What is the units digit of o - (-1 + -9 - c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12268347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.91 and 8.926.\nAnswer: 106.30866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-968)\/8228)\/((-50)\/34).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3939768180.\nAnswer: 2, 3, 5, 19, 151, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50.1 + -50. Which is the closest to p? (a) 1 (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80713 a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - 20 - (-80 + 74)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1289 divide 174253465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**5\/30 + l**4\/4 + l**3\/6 - 8*l**2. Let i(c) = 2*c**2 + 5*c + 1. Give -4*i(t) + 3*k(t).\nAnswer: -2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.4, -1, -45?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 10. Suppose 168*u + 60 = 173*u. Let y be p(u). Let d be (5\/115)\/(-1 + 33\/36). Which is greater: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022735984 to four decimal places.\nAnswer: -0.0227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 74 and 57.\nAnswer: 4218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2020520 (base 7) to base 5\nAnswer: -30142414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 + 96*l - 96*l.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 18 = 2*p - 0, 0 = 4*v + 8. Let i be (-4)\/(24\/(-33))*-28 - -1. Let q = i - -154. Solve 4*k = q - p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 - 14)\/((-4)\/14). Suppose -95 = -2*l - z. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -678 divided by -3?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 4:47 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from jqqfjsfsqq.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2628 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 88 = -3*h - 4*v, 4*v - 45 = h. What is the nearest to 6 in 1\/7, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d**2. Let u(l) be the third derivative of 0 + 0*l + 1\/4*l**4 + 0*l**3 - 20*l**2. What is u(n(h))?\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5347 = -34*d + 4751. Calculate the smallest common multiple of 363 and d.\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 2, 4, -4, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, 1, 1\/4, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2f87 (base 16) to base 2.\nAnswer: 10111110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + 8 - (28 + 29 + -38).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.063+4371661.5537\nAnswer: 4371661.6167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-150))\/(6\/(-10))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -7. Let j = -11 - u. Which is the second biggest value? (a) 0.4 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**4\/4 + 2*p**3\/3 - p**2\/2 + 22. Factor q(k).\nAnswer: -k*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.012 (c) -107171 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*m**2 + 613*m**2 + 25*m**2)*(-2*m**2 + 0 + 0)*(3 - 8 + 2 - 7).\nAnswer: 13300*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 7) in base 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 - 31. Suppose -3*m + 1 = 7, d = 5*k - 5*m. Calculate the least common multiple of k and 50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 58*d - 273. Let t be n(5). Solve -3*u - 14 = -t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.7 and -2?\nAnswer: -13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 4*w - w + (2 + 1 - 1)*(-3*w + 2*w - w) - w + 0 + 0 + 4*w - 3*w - 2*w - 349 + 6*w - 5*w + 318.\nAnswer: -4*w - 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 5. Suppose 0 = -0*m - 3*m + h - 23, 0 = -5*m + h - 37. Let n be x(m). Suppose n*u = -3*u. Is -3 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-6))\/(26\/39). Suppose -2*p = 6, p - k = -d - 3. Calculate the highest common factor of d and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 316\/5855393?\nAnswer: 316\/5855393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 51016 and 51017 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 47*v to the form k + i*v and give i.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 5*t**2 + t**2)*(-2*t - t**2 + 2*t) + 79 - 25*t**4 - 79 + 8*t**4 + 47*t**2 - 47*t**2 + 71*t + 17*t**4 - 71*t.\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4965*g - 1083*g - 1728*g - 1079*g - 1074*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*b = -25, -4*b - b = -5*f + 25. Suppose f = 4*w + w + 75. Let v = 30 + w. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3185973 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/(l\/l**13)))\/l)\/(((l*l**(-2\/23))\/l)\/l))\/(l**1\/l**(-2\/5)))**(5\/6) assuming l is positive.\nAnswer: l**(-1531\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.45 + -5.45. Which is the closest to -1.4? (a) i (b) 0.2 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/98 and -37\/5.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 = -0*i. Let a(d) be the first derivative of -d**2 + d**5 - 2*d**2 + i + 3*d - 3*d. Find the second derivative of a(m) wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s + 5*v + 26, -s - 3*v + 2 = 0. Let k(r) = r**3 - 10*r**2 - 3*r - 9. Is k(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61813725 divided by 20604575?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {j: 2, x: 3, g: 3, p: 5}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.4 (c) -9217 (d) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (17934\/(-3843))\/(2\/12)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 - h**3 - 8*h**3 - 7*h**3 + 3*h**3 + 2*h**3 + (-3 - 1 + 6)*(-6*h**3 + 4*h**3 + 3*h**3) - 2*h**2 + h**3 + 2*h**2.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301 - 67 = 78*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11160965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 114597316*x\/7 - 1641568104300482\/7.\nAnswer: -2*(x + 28649329)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350646 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/245 (b) -3\/8 (c) 1.0256\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q\/(((q\/(q**(-5)\/q))\/q)\/q))))\/q)\/q**0)\/(q**0)**(-30) assuming q is positive.\nAnswer: q**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**2 + 489*k + 6806. Determine x(-13).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -168*-2.6\nAnswer: 436.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by 175.\nAnswer: 72\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/99 and (13 - 16) + 217\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9000\/7 + 300\/7*j - 4\/7*j**3 - 80\/7*j**2 = 0. What is j?\nAnswer: -15, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 25 = 1 - 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(88) - sqrt(88))*-2 + sqrt(88) + sqrt(88) + -4*-1*sqrt(88))\/(sqrt(80)\/(sqrt(10)*4)*4).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -263.8 - -381.7. Let o = 113 - d. Let b(h) = -h**2 + 6*h + 39. Let q be b(10). Are q and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 5) to base 16.\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 202, 2412, 8424, 20140, 39462, 68292, 108532?\n\"Answer: 317*q**3 - q**2 - 6*q - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9193?\nAnswer: 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46165 (base 7) to base 3.\nAnswer: -121010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -4*y**6\/15 - 3*y**5\/10 + 3*y**4\/2 - 2*y**3\/3 + 13*y. Find q such that c(q) = 0.\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = f - 27. Let d = -158 - -72. Let v = -84 - d. Solve -4*k - h - 4*h = -f, v*h = 5*k - 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-113\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+13218\nAnswer: 13218.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -15. Suppose 0*l + 3*l - p = 0. Suppose -j - l*y - 6 + 1 = 0, -2*j + y + 23 = 0. Calculate the highest common factor of j and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**3 + 47*c**2 + 3*c - 3. Let o(z) = 16*z**3 + 142*z**2 + 10*z - 10. Determine -10*i(r) + 3*o(r).\nAnswer: -2*r**3 - 44*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1287 and 61\/4136.\nAnswer: 483912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10897932 and -24.269772.\nAnswer: 10897907.730228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 5:07 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -256 - -136. Let n be a\/(-20) + 0\/(-2). Is 10\/(-30) + 404\/n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.2. Let m = -922.357 + 922. Let g = -0.857 - m. Which is the closest to 4? (a) g (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 2 + 5*t**3 - 2*t**4 + t - 8*t**3 - 2*t to q + z*t**3 + j*t**2 + d*t + w*t**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(38)\/(sqrt(10)\/sqrt(5)) + sqrt(19)) - (sqrt(209)*-2)\/sqrt(11))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 - 4*q + 3. Let s(r) = 5*r**2 + 7*r - 6. Let i = -2 - 4. Let t = 13 + i. Give t*g(j) + 4*s(j).\nAnswer: -j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**5*i)**(-49))**(-1\/14) assuming i is positive.\nAnswer: i**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -12*s + 16*s. Calculate the remainder when s is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*h = b - 25, 5*b = -4*h + 25. Let i be ((-6)\/(-4) - 1)*(0 - 0). Let l be (1 - i)\/(13 + -12). Sort l, 0, -3, b in decreasing order.\nAnswer: b, l, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3282, -3267, -3254, -3249, -3258, -3287?\n\"Answer: -v**3 + 5*v**2 + 7*v - 3293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*k + 45*k - 131*k + 41*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2472 + -549. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3 + 4\/(120\/(-14)). Which is the closest to 1\/4? (a) 2 (b) s (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/18*(-36)\/66. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - -21 - 1\/((-1)\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -58110, -116241, -174380, -232533, -290706, -348905, -407136?\n\"Answer: -t**3 + 2*t**2 - 58130*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2 = -4*k + 23, -26 = -5*k - 2*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 + 122.99857. What is i rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 177436\/55 - 3226. Let i = n + 1\/11. What is the third biggest value in -1\/9, i, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 2*t - 5*t + t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 33. Suppose -s = 2*s + i - 3, 5*s = -3*i + 9. Let x be r(s). What is the highest common divisor of 66 and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053 a factor of 12507459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 148.4 - 148. What is the biggest value in 2\/3, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -8, 4 in descending order.\nAnswer: 4, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16*9 + (3 - (-2 - -4)). Suppose 5*m + 4*a = -0*m + 420, 3*a + t = 2*m. Let g = 25 - 15. What is the greatest common divisor of m and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 + 231 = -7*i. Let w be 2\/(-7) - 9032\/i. What is the highest common factor of w and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 2, 9, 18, 29, 42, 57?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -r - 4*o, -4*o - 8 = 2*r + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(8\/5)*m*m\/((m\/m**8)\/m*m*m*m)*m*(m*m**0)**(-48)*(m\/(m\/(m*m\/(((m*m*m**(2\/17))\/m)\/m)))*m**8)\/((m\/m**(2\/5))\/m*m**(-4\/5)) assuming m is positive.\nAnswer: m**(-2322\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 11:52 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 6*v - 2. Let j be b(3). Let l(o) = -2*o**2 + 24*o + j*o**2 + 4*o - 4 - 6*o**2. List the prime factors of l(20).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171007074?\nAnswer: 2, 3, 7, 379, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3 + 2*i + 0 + 2. Let f(p) = p. Let h(r) = -f(r) + z(r). List the prime factors of h(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 35*n**2 + 246*n - 36. Determine x(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**4\/8 - 3*f**3\/2 + 5*f**2. Is s(9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, 23, 76, 167, 308, 511, 788, 1151?\n\"Answer: 2*c**3 + c**2 + 10*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.061 take away -0.005262?\nAnswer: 0.066262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i + 4 = 0. Suppose i = -b - 1. Suppose 2*j + 3 = -5*h + 1, -2*j - 2 = 2*h. Sort 3, 4, h, b.\nAnswer: b, h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 48*p - 44*p. Solve d = 2*o - p, 3*o + 21 = -3*d + 6*o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 143 = 5*s. Let n(m) = -m**3 + 17 + 4*m**3 + s*m**2 + 3*m**3 - 5*m**3 - 34*m. List the prime factors of n(-15).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9*g**3 - 4*g**2 + 5*g + 1. Let v(b) = -b**2 + 5*b - 14. Let h be v(3). Let f(s) = -14*s**3 + 6*s**2 - 8*s - 1. Give h*n(r) - 5*f(r).\nAnswer: -2*r**3 + 2*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-five halves of a millennium?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-77)\/224*4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*20*5\/(-20)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 965.\nAnswer: -6\/965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*v + 3, -4*v + 6 - 5 = -5*r. Let j be (-2)\/(-1) - (-2)\/(-2). Let o(u) = -u**2 - u. Let l(p) = 2*p. Give j*o(s) + r*l(s).\nAnswer: -s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030 (base 4) to base 12.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9\/25 - -163\/175. Find u such that 4\/7*u + 0*u**2 - w*u**3 + 2\/7*u**4 - 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 7:21 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 12*l + 85. Calculate f(7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w - 6. Suppose x + 3*z = -3 + 1, w*x + 3*z = 12. Suppose 3*t - 4*r = x*t - 28, -3 = -r. Let y(k) = -3*k + 6. Calculate y(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13183*c - 255 = -13168*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (5 + sqrt(304)*-1 + sqrt(304) + sqrt(304)))**2 - -4*(sqrt(19) - 1*sqrt(171)).\nAnswer: -8*sqrt(19) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32\/99 + 6\/11. Let m = -772.76 - -772.75. Which is the smallest value? (a) 0.1 (b) t (c) m (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3143 and -28.\nAnswer: 88004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-19350)\/540 + 2\/6 and -31\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1383*o - 2764*o - 11*o**3 + 1381*o.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1469028?\nAnswer: -1469026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xax when three letters picked without replacement from xxxxiaxxxaaxixxaxi?\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/2624 and -21\/224188.\nAnswer: 3587008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2227666 and -11479.9.\nAnswer: 2216186.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187304.2 days to hours.\nAnswer: 4495300.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**3 - 5*k**2 + 3*k - 5. Let s(n) = 5*n**3 + 8*n**2 - 5*n + 8. Let v(d) = -8*o(d) - 5*s(d). Factor v(j).\nAnswer: -j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**9*j**30 assuming j is positive.\nAnswer: j**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148 + 155. Suppose -g*l + 70 + 14 = 0. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5829651*g**2*h**3 - 3*g**2*h**2 - 11*g**2*h + g**2 + 14*h**2 + 19 wrt h.\nAnswer: -34977906*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*g**2 - 36 + 36*g + 2*g + 2*g**2 = 0. What is g?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (1 - (1 - 816)) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 5*p + 6 = 0. Suppose 3*h + 20 = 2*q, -h - 14 = -p*q + 2. Solve 2*w - w - 2*v = 1, v = -q*w + 22 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -207 + -15. Let j = l - -237. Solve -3*g - 1 = -2*u - 11, j = 4*g - u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3008 + 5959. Suppose -4*a + 2370 = 3*b, a + 2*b = 6*a - c. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7)*w**(3\/7)*w*w**(-6)*w*(w**(-1\/3)\/w)\/w)\/(w**3\/((w\/w**(-4\/5))\/w)*(w\/(w**(-6)\/w))\/w*w\/w**(2\/5)) assuming w is positive.\nAnswer: w**(-1679\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2382.1 - 2382. What is the nearest to 6 in y, -1\/8, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1199438789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 7) in base 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-3)\/(-180)*(-28)\/(-7).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 2:49 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-35))\/((-784)\/686)*(96\/(-645))\/4.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 484 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b + 0*b - 7*b - 2*b**2 + 38.\nAnswer: -2*b**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(280)\/((sqrt(8) + sqrt(8)*1 + sqrt(8) - sqrt(8))*-6))\/(2*-4*sqrt(10)\/(sqrt(2)*2)).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -1120?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 99 = u - 148, 0 = 5*y - 3*u + 405. Find the common denominator of (-14)\/y - 497\/1452 and -97\/18.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + (0 + sqrt(891) + -2*sqrt(891)*-1 + ((1 + sqrt(891))*-6 - (-1 + sqrt(891) + 1)))**2 + -5.\nAnswer: 432*sqrt(11) + 14290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46.1551 + 0.0449. What is f rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -146*p - 5 + 1 + 5. Is o(-1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 2*j + 3*a - 7, j = 4*a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*z = 1524, -5*d + 3013 = 4*z + 1109. Is 24 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-31)))**44 assuming w is positive.\nAnswer: w**(-1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 + 3*c**3 - 2*c**2 - c**2 + 0*c**2.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f - 3. Let r(o) = 10*o + 10. Suppose 3*h - 8*h = -20. Give h*r(z) + 14*d(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + m + 0*m. Let f be 57\/(-9) + 6\/(-9). Let h(w) = -w**2 + 7*w - 7. Let q(c) = c**2 - 6*c + 6. Let i(z) = f*q(z) - 6*h(z). Determine i(v(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/30*5*(-16)\/6)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104424888?\nAnswer: 2, 3, 1373, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hagaahayayah. What is prob of sequence ha?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.524 - 3.524. Which is the second biggest value? (a) -2\/11 (b) -3 (c) v (d) -6 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153714 divided by 6?\nAnswer: -25619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189719613.\nAnswer: 3, 3559, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9481, 37874, 85175, 151366, 236429, 340346?\n\"Answer: -3*i**3 + 9472*i**2 - 2*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2720215 divided by 47.\nAnswer: 2720215\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i\/(i**(-8)\/i))\/i))\/(i**4\/i*i))**(-1\/51) assuming i is positive.\nAnswer: i**(11\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 94110576 divided by 1120364?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 - 0.37. Let a = -100 + 149. Let i = a - 48. What is the closest to 2 in 3\/5, f, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 2:59 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.15. Let h = i - 0.99. Round h to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 97, 77, 61?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 2*g - 32. Suppose -g*r = -r - 315. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 4:02 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 11*u**2 - 24*u + 2. Let o(r) = 5*r**2 - 11*r + 1. Let w(t) = 4*f(t) - 9*o(t). Let g(i) = -3*i**2 + 4. Let l(m) = g(m) + w(m). Give l(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1145407733 - 0.114549. Round l to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1224 and 8.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 450574*u - 2684. Let d be f(16). Round d to the nearest 100000.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-4)*(2 - 4). Suppose -4*h + m = -13. Let z be (-1)\/h - 45\/12. Is z at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -79 + 75 - 2*h + 2*h - h. Let i be x(-8). Solve 5*k - 3 = -v - i, -4*k = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358 + 36 = 45*f - 146 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-15) - 4\/6. Let b(z) = 5*z**3 - z**2 + z - 1. Let n be b(1). Is 14 a factor of (n - 0)\/(v\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -2*f**2 + 16*f + 2. Suppose 5*g + 4*y = -0*g - 18, 0 = 5*g + y + 12. Let r(t) = 0 + 3 - t + 0 + 0*t. Give g*a(l) + 11*r(l).\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(125)*-2).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2614 divide 441109886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + k - 270 = 2*d, -2*k = 0. Let z = 197 + d. Is z a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 781565484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -321 (b) -0.02 (c) 1\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 273*k**2 + 85*k - 50873. Give s(-272).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/((-197208)\/83)*(-3)\/(-5)\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 54\/(-9))*(41 + -42).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 1.46?\nAnswer: -0.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -52, -151, -340, -649, -1108, -1747?\n\"Answer: -5*i**3 - 4*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*z + 4855 - 354 = -80*z. What is the lowest common multiple of 1 and z?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t = -735 - 9108. Let w = t - 142. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 389*c**3*h*v**3 - c**3*h + 4*c**2*v**3 + 38*c*h*v**3 - c*h*v**2 + 2*c*v wrt c.\nAnswer: 2334*h*v**3 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2\/4 + 48905*z\/4 - 207774 = 0. Calculate z.\nAnswer: 17, 48888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8292 - -149141\/18. Calculate the common denominator of j and ((-52)\/(-24))\/((-2)\/(-6)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + 9 + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**5\/60 - 2*t**4\/3 + 17*t**3\/6 - 13*t**2\/3 - 52*t + 1. Factor f(p).\nAnswer: -(p - 1)**2*(p + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 times -1.3629?\nAnswer: -132.2013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -1 + -1*13. Let s be 42\/d - 8\/(-10). Let u(v) be the first derivative of v - 2. Let i(n) = n + 2. Calculate s*u(m) + i(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7423865 + -14691865. Round z to the nearest 100000.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24349194 a multiple of 723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 10*f - 5. Let t = -11 + 21. Calculate the remainder when y(-4) is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide (1\/(-4) - 122\/(-40))*(-565060)\/(-152)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 2*y**3 + 1. Let h(x) = 5*x**2 - 2. Let o(z) = 36*z**2 - 15. Let l(a) = 15*h(a) - 2*o(a). Determine l(d(b)).\nAnswer: 108*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1397 to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsszzzmszsssssszss. What is prob of picking 3 s?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 107152 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t - 2*x, -t - 1 = 4*x - 2. Suppose -4*f - 6*p - 9 = -9*p, -5*f + t*p - 15 = 0. Solve w + 2 = -f*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3358*d**2 - 53*d - 77. Let c be j(-25). Suppose 5*q + 2100003 = -3*b, -2*b = 2*q - 7*q - c. What is q rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 100323223?\nAnswer: -100323213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7135*a**2 + 2*a + 35026.\nAnswer: 14270*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 310, 630, 964, 1318, 1698, 2110, 2560?\nAnswer: 3054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -14*p + 27. Let t(r) = -r - 2. Let o be t(-6). Let m(j) = -67*j + 137*j - 65*j - 9. Let n(f) = o*d(f) + 11*m(f). Determine n(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -393*r + 2252. Determine w(2).\nAnswer: 1466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (56 - (1 - ((-21 - -9) + 6))) + 9 + -17?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 2, j: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -97, -171, -303, -511, -813?\nAnswer: -1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7274.079um in nanometers?\nAnswer: 7274079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (3 - (2 - (-4 + 0)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -8681510.\nAnswer: -8681505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2642 + 2632. Let z(g) = 6*g + 13. Give z(t).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -760584 divided by 66?\nAnswer: -11524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 261889417 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.65 + -36.65. Let k = 35.97 + b. Let m = -66 - -194\/3. What is the closest to 0.3 in -4, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20436.\nAnswer: 2, 3, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13715, 1\/5, -0.15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000513218 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2. Let m(g) = -83*g. Determine m(u(i)).\nAnswer: -83*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200601658?\nAnswer: 2, 19, 5278991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6209235 and 36.\nAnswer: 24836940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 490, 1024, 1678, 2398, 3130, 3820, 4414?\nAnswer: 4858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 9:38 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 393204 and 372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -27 + h**2 - h + 89 - 32 - 37. Give d(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**3*y + 284869*q**3 + 5481*q*y + 5*y wrt y.\nAnswer: q**3 + 5481*q + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -4, 0, -548, -145?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 111*t**2 + 31*t - 51. Let n(z) = 28*z**2 + 8*z - 13. Let y(v) = -2*d(v) + 9*n(v). Is 25 a factor of y(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13140, 13141, 13142, 13143, 13144?\nAnswer: 13145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2045123 and 99898.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (3\/6 - 1)*-6. Calculate the highest common divisor of 66 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q. Let r(c) = 57*c**2 + 2*c. Determine r(s(v)).\nAnswer: 228*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 0.5 (c) -4 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*c - 2*c - 87, 0 = 2*c + 8. Let k = -24 - b. Calculate the remainder when k is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1423614 + -889861. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3236*v + 1648*v + 1627*v. Let h(d) = 43*d. What is h(m(o))?\nAnswer: 1677*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.0517 + -0.0517. Which is the closest to 0.3? (a) -5 (b) -3 (c) 2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) - sqrt(150)*-1*5) + (2*sqrt(150) + sqrt(150) - sqrt(150))*-3)\/((sqrt(72)\/(sqrt(36)\/sqrt(3) + sqrt(12)))\/(sqrt(18)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*9738085\nAnswer: 584285.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20212111110 (base 3) to base 9.\nAnswer: 225443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/21)\/b)**40 assuming b is positive.\nAnswer: b**(-800\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17451811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 4 - 3)*(2 + 3 - 3) - 3 + 4 - 2 - 2 - 3 + 2)*(34*t + 207*t + 17*t) as h*t + a and give h.\nAnswer: -2064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18317834?\nAnswer: 2, 1249, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 189 + -189.055. What is g rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61605*s**3 - 912975*s**2 + 166000*s - 7500 = 0. What is s?\nAnswer: -15, 10\/111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 2, s: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4086*h + 70630 + 47864 = 0 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10)\/((-11)\/110*(-10 - 23)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6 - 4 + d + 15. Calculate the least common multiple of 22 and s(-5).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 122*g**2 - 55*g - 174. What is the units digit of c(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 339.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -57201 + -0.3?\nAnswer: -57201.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3)*l)\/l*l**(-1)\/l)**23*(l**5\/(l*l*l**(-2\/7)))**9 assuming l is positive.\nAnswer: l**(-23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 6*h + 4 - 1 - 11 + 0.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - 23. Let x = n + 52. What are the prime factors of (-1)\/((-6)\/x)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 25 = 3*y, 0 = 3*y - 0*d + 3*d - 30. Suppose 95 = y*w - 5*z, 7*w - 2*w + 4*z - 86 = 0. What is the greatest common divisor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v = -3*t + 39*v + 113, 5*t - 4*v = 187. Solve -30*s = -9 + t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22266*x**4 - 11111*x.\nAnswer: 267192*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 215, 243, 273, 305, 339, 375, 413?\n\"Answer: i**2 + 25*i + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/21 - (-2 + (0 - -2))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 45 = -4*a + 16, 0 = 5*h - 3*a - 28. Solve h*u = 5*t - 15, 16*u = 11*u - 3*t - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*h + 3*h. Suppose 5*z - 3131 = -4*d + 58, -h*z - 3*d = -1270. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-8 - -4) + -6 - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 + 0.3?\nAnswer: 519.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + -6*sqrt(136)*-1)\/(sqrt(72)*-1).\nAnswer: -7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1314*b + 36193 = -4203 - 27483 + 2179 for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/6*36\/(-21). Differentiate -6*b**4 - 45*b + 25*b - 313 - 23*b**y + 20*b wrt b.\nAnswer: -116*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*f**2 - 3*f**5 - 7*f**3 + 5*f**3 - 24*f**3 wrt f?\nAnswer: -180*f**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1560 and 1755?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*-3*-6 + sqrt(500)*1*4)\/((sqrt(120)\/(sqrt(12)\/sqrt(2)))\/((sqrt(2) + sqrt(8)\/sqrt(4))*5)).\nAnswer: 1100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (402*p + 10 - p**2 - 402*p)*(3*p + 0*p + 0*p).\nAnswer: -3*p**3 + 30*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 57*b + 9*b**3 - 57*b as s*b**3 + v*b**2 + n + j*b and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - i - 22 = -6*s, 4*i = -16. Suppose 12 = -3*r + s*r. Solve l - r*l = -3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**7\/105 - 2*y**6\/25 + 9*y**5\/5 - 142*y**4\/15 + 109*y**3\/5 - 126*y**2\/5 + 10*y + 596. Determine t, given that n(t) = 0.\nAnswer: -14, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, -90, -230, -426?\n\"Answer: -28*v**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(1\/3))\/n)**(-2\/3))**(-1\/4)*((n\/((n**0*n)\/n))**(-4\/21))**(3\/17) assuming n is positive.\nAnswer: n**(47\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417957 is divided by 339?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 17 = h, -17*h = 2*i - 20*h - 23 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/16*-4*(10 + -5). Suppose -2*m + 7 = -f*a, -4*a - m - 6 = -3*m. Sort 1, 5, -5, a.\nAnswer: -5, a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*i**3*m**3*p**3 - 8*i**3*m**3*p**2 + 2*i**2*m*p**2 - 15*i*m**3*p**3 - 6*i*m**2*p**3 wrt i?\nAnswer: -162*m**3*p**3 - 48*m**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139116 + 122704 = -373*k for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 633*a**5\/7 + 2496*a**4\/7 - 144*a**3\/7.\nAnswer: 3*a**3*(a + 4)*(211*a - 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1081 - 6457\/6. Let w = -2143\/126 - -142\/7. What is the common denominator of v and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 9:35 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 12*u - 12. Let z be j(-9). Suppose -16 - z = -5*y - h, -5*y + 55 = -5*h. Let p(g) = -g + 1. Calculate p(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*q + 177*q + 209*q - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 1, 0, 4\/85?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssxssxrrrsssrsdrss. What is prob of sequence dx?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Let l be (-22)\/10 + (-8)\/(-40). What is the units digit of t\/2 + (-43)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/5)\/(g\/(g*g*g**(2\/19))) assuming g is positive.\nAnswer: g**(48\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 - -75. Suppose 7*w - b*o = 4*w + 1625, 4*o = -4*w + 2120. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.2 - -16.8. Let x = 19.2 - n. What is the closest to x in -0.5, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 18*q. Let r(v) = -150*v. Let m(o) = 8*d(o) + r(o). Let u(b) = 276*b**2. Determine u(m(y)).\nAnswer: 9936*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 138*y + 1869. Give z(16).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -0.5 (b) 5 (c) -0.4 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*a + 0*a + 6*a)*(-a**2 + 11*a**3 - 17*a**3 + 8*a**3) in the form m*a**3 + u*a**4 + l*a + x + j*a**2 and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 123568 = 13220. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127824 is divided by 18150.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*k + 32*k - 22*k**4 + (-7*k - k + k)*(3*k**3 + 1 - k**3 - 3*k**3) to the form h*k + d*k**4 + o + m*k**3 + i*k**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 263*l*m**3 - 2641*m**3 wrt l.\nAnswer: 263*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 2:10 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in -2\/5, 1\/3, -4, 1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 24) + -330 + 341 - -30\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32909182 or -32909181?\nAnswer: -32909182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/(-42) - (-85304)\/56.\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 63 + 54. Suppose 5*p - 110 = -2*o - 32, -o + 2*p = -39. Calculate the greatest common factor of u and o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37125 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-1)\/12*3. Suppose 35 - 55 + 80 = -15*q. Let g = 0.01 - -0.19. What is the second biggest value in g, p, -1, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1. Let d(v) = v**2 - 5*v - 3. Let m be ((-75)\/20 - (-25 - -20))*4. Give m*k(q) - d(q).\nAnswer: -q**2 + 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3356990305 take away 493144?\nAnswer: 3356497161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 53?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 451436.70113 - 451421. Let t = 333 - 317.3. Let k = t - h. What is k rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*o = -265 - 248. Suppose 3*v + o = 45. Solve 4*w - 5*g = -g, 3*w + g = -v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0500862, 0.3, 3, -2 in descending order.\nAnswer: 3, 0.3, 0.0500862, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*f - 6, -5*f - 5*b = -0*b - 35. Solve -3*y + z - 11 = 5*z, -f*z = 5*y + 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -5. Let q = 5 - x. Suppose -7*l - 67 = -19*w + 23*w, -5*l + w = 17. Sort l, 4, q in descending order.\nAnswer: 4, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -7488277454?\nAnswer: 7488277453.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90300?\nAnswer: 2, 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1647766*j + 1647766*j - 9637*j**2)*(0*j + 0*j + j**2).\nAnswer: -9637*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/4809 and -58\/21.\nAnswer: 4809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 35*h - 7. Give x(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -194805.969 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64242435*c - 2*g = 64242434*c + 226, 3*g + 365 = -5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 3*a, 26 = 406*a - 411*a - 2*c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 600 (base 7) to base 5.\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -220 - 2?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2114506 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 15 = 0, 0*g - 3*g = m + 13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) 5\/4 (c) 134 (d) 0.13 (e) 2\/5 (f) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5429840059 to 5 decimal places.\nAnswer: 0.54298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*m + 335, -2*m + m = -3*r - 48. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 9611\nAnswer: -48055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 830133.6 millilitres?\nAnswer: 830.1336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/8*(3\/12 + 31\/(-60))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 15 = -y, -2*v = 5*y - 335. Let l be (160\/1120)\/(2 - (-194)\/(-98)). Suppose -55 = l*w - v. What is the greatest common divisor of w and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m + 20*m - 72 = 0. Let y(l) be the first derivative of -19\/4*l**4 + 0*l**m + l - 6 + 0*l**3. Differentiate y(r) with respect to r.\nAnswer: -57*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39316 at most as big as 39281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -517*a + 125*a + 91*a - 18 + 191*a + 19.\nAnswer: -110*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-343)\/(-24))\/(-7) - -2. Let i(d) = -37*d**2 - 1471*d + 361. Let q be i(-40). What is the biggest value in 0.12, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -41*n**2 - 48*n**2 - 100 - 17*n + 90*n**2. What is the remainder when 848 is divided by g(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7298280 to the nearest integer?\nAnswer: 2702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, q: 5}. What is prob of sequence qt?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 35 = g + 4*g, -g + 4*r + 16 = 0. Suppose g*a + 225000 = -a. What is a rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103124184 and 1257612?\nAnswer: 103124184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0644? (a) 1 (b) 3 (c) 0.2243 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 8 - 2. Suppose -p + m + 6 - 1 - m**2 = 0. Calculate m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 10*h**2 - h + 5. Let q be o(-8). Let s = 142 + q. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -3, 1 in ascending order.\nAnswer: -7, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 0*a - 1\/6*a**5 + 6 + 1\/6*a**3 + 1\/120*a**6 + a**2 - 1\/24*a**4. What is p(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 596702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*q + 19 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1. Let c(r) = 4*r - r - 1 - 3. Suppose -4*m = 4*f - 16, 0 = -3*m + 5*m - f - 8. Let u(z) = m*t(z) + c(z). Let g(i) = -i. Determine g(u(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**3 - 13*u**2 + 30*u + 12. What is the hundreds digit of i(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 10*k**2 - 4*k + 24. Give b(-8).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-77) + (38416\/(-88))\/14\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 3*h**2 - h**4)*(-33109*h - 15373*h + 11239*h - 6083*h).\nAnswer: 43326*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 574838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 49077, 98281, 147485, 196689, 245893?\n\"Answer: 49204*x - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -256613 - -3?\nAnswer: -256610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daaddadddya. What is prob of sequence ada?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 2, f: 4}. What is prob of sequence fz?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -2.4. Let w = l + -1. Let t = w + -1. Sort -1\/6, 1, t in ascending order.\nAnswer: t, -1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 1. Let t(y) = 4*y**2 - 7*y - 23. Let n(z) = -t(z) + 3*u(z). Let a be n(9). Solve 0 = 4*o - a - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399 = -4*r - y, r + 503 = 6*r - 3*y. Calculate the greatest common factor of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 145 + 112 - 287 + 116*l as g*l + q and give g.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 + 20*b - 4. Suppose -14 = -4*g + 2. Let t(h) = 2*h**2 + 20*h - 3. Let u(d) = g*t(d) - 5*o(d). Let u(f) = 0. Calculate f.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 130063961823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2345 + 2344 = 0, 3*q - g = -10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 - 225. Let h be l\/(-80)*20\/6. Suppose -3*r = 9, -4*r = -2*b + r + 35. Solve b = t + h*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16834 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 19. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(24\/27) - -2. Let a = 0.375 + 0.025. What is the nearest to -0.3 in a, d, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/93 and -89\/114.\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 252, 205, 160, 129, 124, 157?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10798350.\nAnswer: 2, 3, 5, 193, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**7\/35 - 103*c**4\/24 + 149*c**3\/6 - 964*c**2. Differentiate o(i) with respect to i.\nAnswer: -24*i**3 - 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1304\/32)\/(2\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + -48 + 42 + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39838276.6 take away 0.4?\nAnswer: -39838277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x - 2 + 0 - 6*x)*(5*x + 0*x - 4*x) + (3*x + x - 2*x)*(-4*x + x + 2*x) - 6*x**2 - 34*x**2 - 8*x**2.\nAnswer: -47*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 488, 536, 610, 710, 836, 988, 1166?\n\"Answer: 13*d**2 + 9*d + 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*z = -4*m + 4819, -4*z = 2*m - 4810. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/15*(-47)\/((-6251)\/(-38))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 38 = -102. Suppose -2151 - 376 = -1174*p + 4517. What is the highest common divisor of p and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*z - 77. Let g be 2\/z - (-805)\/253. Solve -w - h + g = 0, -2*h + 0 + 6 = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2520?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -541, -540, -539?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, f: 3, p: 2, s: 4, q: 1}. Give prob of picking 1 p and 3 o.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -1789, 2, 3, -378, -3 in increasing order.\nAnswer: -1789, -378, -5, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(32\/15040*20)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 87*s**2 + 9*s - 20. List the prime factors of m(4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -198557, 1\/6, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 29. Let y(x) = -11*x + 1. Give y(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12525, -10968, -9411, -7854?\n\"Answer: 1557*l - 14082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 2:13 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 17*x**2 + 6*x + 5. Suppose 59 = 2*n + 5*y, -5*y + 3 = -n - 5. Is 6 a factor of z(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0539 - -49.3461. Let m = -49.40001382 + z. Round m to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Suppose 5*n - k*g - 19 = -g, 0 = n + g - 5. Suppose 2*m - n*q = -66 + 232, q = -1. What is the remainder when m is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/6)*n)\/n**(1\/7))**(2\/21) assuming n is positive.\nAnswer: n**(43\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3961491?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - t. Let g be 2\/4 - (-66)\/(-12). Let w(i) = 2*i - 6*i**2 - 7*i + 5 - 3. What is g*d(u) + w(u)?\nAnswer: -u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/(63\/(3024\/(-40)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -4, 26, -134636 in descending order.\nAnswer: 26, 2, 0, -4, -134636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006863 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -249 - 791. Calculate the least common multiple of 8 and t.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-40) + (-75)\/(-4). Suppose -2*q = -15 + j. What is the nearest to q in -3\/5, 1\/4, 0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-2)**2 + sqrt(17) + 4*sqrt(68)\/sqrt(4).\nAnswer: 5*sqrt(17) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 291*x - 18. Suppose 5*m + 17 = 3*f + m, 0 = 2*f - 4*m - 14. Suppose f*l - 3*d = 4*l - 14, l - 4*d = -7. Is o(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 63.9 (b) 0.005 (c) -0.3 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16356 times -0.1?\nAnswer: -0.016356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 2*q - 2. Suppose 2*t + i = -9, -3*i - i = 3*t + 16. Let y be l(t). Suppose s - y + 23 = 0. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 + (-45 - -60) - -43.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 176 and 221 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(27\/(-24)))\/((-3)\/(-9)). What are the prime factors of (-2028)\/(-22) - s\/44?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191921 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*w**2 - 72*w**2 - 28*w**2 + 28*w**2 - 58*w**2 - 6.\nAnswer: -212*w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + -178 - -92 - (1 - (9 + -4 + 1))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 28*f - 9 + 55*f**2 - 275*f**2 - 27*f**2. Let v(n) = -62*n**2 + 7*n - 2. Let q(j) = 2*l(j) - 9*v(j). What is the second derivative of q(i) wrt i?\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = w + 15*q + 650, 2*w + 1314 = -q. Let b = w - -1500. What are the prime factors of b?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24060, -48116, -72172, -96228?\nAnswer: -120284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*f**3 + 30*f**3 + 31*f**3 - 12*f**3.\nAnswer: 82*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (sqrt(162)*4 - sqrt(162))) + (sqrt(50) - (sqrt(250)\/sqrt(5) + 3))*-4.\nAnswer: -81*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + h + 2. Let n(g) = 19*g**2 + 6*g + 12. Let l(y) = n(y) - 6*q(y). Let o(t) = -16*t - 1. Give l(o(p)).\nAnswer: 1792*p**2 + 224*p + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -756? (a) 2\/13 (b) -2\/9 (c) 7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -975 - 95 = -5*z. Suppose 5*r = 3*m - z, -r + 64 = -3*m + 258. Suppose -p + 19 = -f, -2*p + f + m = p. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -460.18885 rounded to the nearest ten?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 0 + 0*o**5 + 0*o**2 + 0*o**3 - o + 0*o**4 + 1\/90*o**6 + 1\/252*o**7. Factor n(m).\nAnswer: m**4*(m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 12*o**2 + o - 1. Let l be c(3). Suppose -l = -6*z + 244. What are the prime factors of z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-36)\/8))\/2*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40427142 or -40427148?\nAnswer: -40427142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7932 - -7923. Which is the closest to 0.9? (a) -1\/3 (b) -0.4 (c) 2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43 + 3?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u + 2*u - u + (1 - 2 + 3)*(3*u - 4*u - u) - 6*u + 5*u - u + u + 5*u + 6*u - 6*u + 4*u - 3*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*t + 95 - 230 = 66 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/6 + 2*h. Let j(v) = -9*v - 10*v + 21*v - 4*v. What is l(j(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*g + 6*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30449 + 30476.961. Let b = -28 + h. What is b rounded to three dps?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + 3 + -9 - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2.9. Let y = 2.5 - 2. Which is the nearest to r? (a) 3\/2 (b) 1\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66334334.1 rounded to the nearest one thousand?\nAnswer: -66334000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 23 = 3*s, 6*x + 2*s = x + 67. Suppose 3*b + 4 = x. Solve -6*w**2 - 24*w**b + 0 - 8*w + 1 + 9*w**4 + 28*w**2 = 0 for w.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*q + 0*q = 2, 4*c + 4*q - 16 = 0. Let h be (-104)\/(-48) - c\/6. Suppose -3*v = 3*k - 2*v - 57, h*k - 5*v = 38. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -55, -197, -421, -721, -1091?\n\"Answer: m**3 - 47*m**2 - 8*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55717271 a multiple of 1160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*j + 48 = -87*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 44*v + 8. Let r(f) = 11*f + 2. Let n be (-11 - (-408)\/36) + 70\/6. Let k be ((-532)\/42 + n)\/(4\/54). Calculate k*r(g) + 2*c(g).\nAnswer: -11*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 129*y + 26431. Determine l(-205).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 462*p**2 + 2901*p + 3360.\nAnswer: -3*(p - 7)*(p + 1)*(p + 160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h + 2*h)*(0 - h + 0)*(3*h - 14 + 14).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43.978 + 2.058. Let x = -41 - s. Let o = x - -9.28. Round o to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxtrwxwnvxvttwnr. What is prob of picking 1 n and 1 w?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 12. Let l = -3 - -3. Suppose -3*p + 2*w = -l*p - 10, -s*w + 4 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 46*l - 3. Let v be d(2). Suppose -19*z + 2259 = -2548. Suppose -9*i + v = -z. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-33)\/6*2. Let x be (-20)\/(-3) - j\/12. Suppose -x + 3 = -3*u. Put -1, -4, u in ascending order.\nAnswer: -4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**4 - 2197308*f**3 + 1797827*f?\nAnswer: 24*f**2 - 13183848*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 10*c + 147. Let x be t(-18). Find h such that -90 + 24*h + x*h**4 + 42 + 13*h**3 - 37*h**3 + 45*h**2 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5 = 3*y, -4*k = -0*y - y + 3. Calculate the smallest common multiple of 2*k*(-21)\/6 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 8. Let l be n(8). Suppose l = -5*i + 241 + 19. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 154.897697?\nAnswer: 154.397697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21444 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 8\/7, -4, -1\/6, 4?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-72)*-15 - 25\/(-4). Suppose -4*d - x*p + 9*p + 16 = 0, -5*d + 10 = 5*p. Solve i + 8 = d*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2. Let m(c) = -596*c. Give m(d(n)).\nAnswer: -596*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -8*s + 970. Suppose 2 = -j, -3*h + j + 285 - s = 0. Let q be 9\/6*(2 - h\/33). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 870536.3 millilitres in litres?\nAnswer: 870.5363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p\/(p\/p**(6\/13)))\/p))**(2\/169)*(p\/p**7)\/(p*p*p**18))**(-1\/3) assuming p is positive.\nAnswer: p**(19036\/2197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*y + 192*y - 385*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000074301 to 6 decimal places.\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -295, -429, -409, -157, 405, 1355, 2771?\n\"Answer: 13*d**3 - d**2 - 222*d - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 246, -2 in descending order.\nAnswer: 246, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.7, 2, 4\/3, 14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Let p = -17.1 - -17. Let h = -46 + 45.9. What is the closest to h in a, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*z = 272, 0*z = 5*z - 10. What are the prime factors of y?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -162176\/19 - -1657819\/152. Let n = y - 2363. What is the common denominator of n and 730\/15*1\/(-12)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -m + 2*b, 0*b + 23 = -m + 3*b. What is the common denominator of -47\/2 and (150\/m)\/(54\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00087672198 rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in 2\/9, -0.31, -1\/23?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - (-2 + -3 + 6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 2:53 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4\/7, 3.7, 0.37 in increasing order.\nAnswer: -4\/7, 0.37, 3.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(216)\/sqrt(768))\/((sqrt(384)*-2 - sqrt(384)) + sqrt(6)))**2 + 1.\nAnswer: 203139\/33856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344983 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, q: 1, l: 1, r: 3, a: 1}. What is prob of picking 1 l and 3 u?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2882134.\nAnswer: -2882134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235034 + 0?\nAnswer: 235034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150 - -225541?\nAnswer: 225351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -537719 at least as big as -537719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29853 = -20*n + 34887. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 80*h**2 + 33*h + 121. What is the ten thousands digit of k(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -9*o + 6*o. Let n(c) = 11*c**2 + c**3 - 33*c**2 - 2685*c - 1 + 2686*c. Let d be n(o). Solve -9 = -4*g - d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 7. Let q = -312964\/5 + 938927\/15. Determine x, given that -1\/3*x**c - q*x**2 - 8\/3*x + 16\/3 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 44. What is the second biggest value in -3, -2, -2\/7, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379161220 to the power of 1\/2, to the nearest integer?\nAnswer: 19472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2242.7 + -2238.7. What is the second biggest value in -545, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -54664?\nAnswer: -5\/54664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 11657 + 1508 = 3*s, 4*s = t - 1265. Calculate the lowest common multiple of t and 99.\nAnswer: 13959","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2436*w + 2440*w - 3*v, -5*w + v - 10 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2926 - -2926.6786. What is z rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7 = -z, -5*z + 2*c = 7*c - 25. Put z, -2, 2, 0.5 in ascending order.\nAnswer: -2, 0.5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 28 + 24)*(-2*d**4 - d**4 + 6*d**4) to i + s*d**4 + q*d**3 + f*d**2 + p*d and give s.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 1 + 397\/8. Let z = 81\/2 - i. What is the common denominator of z and -69\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 7:33 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3448489 or 3448488?\nAnswer: 3448489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:57 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) -0.07 (b) 2\/11 (c) -0.1 (d) 894 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2584 = -7*h + 3*h. Let p(z) = -17*z**2 + 438*z - 108. Let k be p(25). Let y = k - h. What is y rounded to the nearest ten?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2189\/30 - -73. Let t(o) be the second derivative of 3\/20*o**5 + 1\/4*o**4 + 0*o**2 + o + 1\/6*o**3 + 0 + a*o**6. Let t(r) = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 9)\/((-2)\/3). Let s be (9\/33)\/(r\/(-4)). Let c = 0.24 + -0.74. What is the closest to -0.2 in c, s, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -55858942?\nAnswer: -1\/27929471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 - 48*q - 38. Let z(m) = 23*m - 5. Calculate the remainder when z(2) is divided by d(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2086889 and 29264?\nAnswer: 1829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 32403335?\nAnswer: 32403335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/((-2)\/58) - -4.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 122 = -4054*r + 4051*r, r - 3*m - 74 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9692 - 31408 - 30124 = -27*m. What is the least common multiple of 160 and m?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 8\/5, -17\/5 in decreasing order.\nAnswer: 8\/5, -0.4, -17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134498625?\nAnswer: 3, 5, 19, 43, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-191*i**2 + 100*i**2 + 113*i**2)*(-5*i + 3*i - 3*i) + (0*i**2 + 2*i**2 - i**2)*(5*i - 5*i + 2*i) - i**3 + 5*i**3 - 3*i**3 + 4*i**3 + 0*i**3 - 2*i**3.\nAnswer: -105*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 0)*(3 + 615*p - 210*p - 115*p) to q*p + z and give q.\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -23. Let t(u) be the first derivative of 2*u**3\/3 + 5*u**2\/2 + 3*u - 2. Calculate t(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7894 is divided by 658?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 2, c: 1, z: 1, n: 4}. Give prob of sequence ozc.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 10:46 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from ffswgyt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 7*v - 98 = 0. Suppose -v*k + 348 = -k. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 34 (b) 4 (c) -4 (d) -6 (e) -0.11 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 142727, 142450, 141985, 141332, 140491, 139462?\n\"Answer: -94*h**2 + 5*h + 142816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10927 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -191*i**4 - 19282*i**3 - 7213544*i**2.\nAnswer: -4584*i - 115692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (-5 - -1)*-1. Suppose -5*x - 2 + 32 = d. What is the greatest common factor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -1 - 2 - -5. Suppose -49 = 5*m + h, 10*h - 6*h + 26 = -n*m. List the prime factors of (-8 - -6)*m\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(91) + -1*sqrt(91))*-3)\/(sqrt(252)*2))**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -3. Let a be 1*(2*-1 + 1). What is the closest to a in c, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and (-10 - -11)*80*1.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 7*d + 8. Let r be q(6). Suppose 6*n + 8 = r*n. Is 3 a factor of (1 + (-1 - 16))\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2364 + 227. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*y + 24, -2*y + 3*o = -0*y - 16. Let q(p) = p. Let l(x) = 2*x - 19. Give y*l(g) - 2*q(g).\nAnswer: 2*g - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 4*v - v - 6*v + 194.\nAnswer: -v + 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*j**2 - 201*j + 90.\nAnswer: -3*(j + 10)*(7*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2 + 43159*u = 0. Calculate u.\nAnswer: 0, 43159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*o - 445 = 752. Suppose -o = 7*c + 49. Sort 6, c, -1.\nAnswer: c, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 109*b**3 - 4 + 110*b**3 + 11.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p - 1. Let w(g) = 4*g + 1. Suppose -2*b - r = -10, 2*r = 2*b - 0*r - 22. Calculate b*t(f) + 6*w(f).\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1. Let q(k) = -3*k**2. Calculate -2*p(m) + q(m).\nAnswer: -3*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c - 6. Determine x(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5028 = m + 6*c + 5009, -23 = 3*m + 2*c for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 246 - 36?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2547 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: Differentiate 57 + 78*s + 46 - 70 with respect to s.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -179 - -194. Solve m = -2*m - z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 1 + 2)*(-3*b + 2*b**2 + 3*b).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000029812667 to 7 dps.\nAnswer: 0.0000298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 70163104 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 6:30 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112791211*w - 112791211*w - 2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -57069.\nAnswer: 342414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -19*p - 335. Calculate g(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b38a (base 12) to base 7.\nAnswer: -604543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 10 = 2*y - 16, y + 15 = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002011021 - 20?\nAnswer: 2002011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.714 + 16.414. Which is the nearest to 0.09? (a) -0.3 (b) -4 (c) 0 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*o - 7 = 30, -2*o + 10 = h. Let n(k) = k + 2. Let i be n(0). Suppose i*r = -0 + 6. Solve 0 = -4*f - 0*f + h, -5*u + r*f = -9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1575 - 1524) + (-236)\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9)*(-12)\/(-1)*(-12)\/(-64)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4824 and 5427?\nAnswer: 43416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wzwwwwwz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 5. Let l(b) = 3 + 0*b - 1 - 2*b - k. Let m be l(-3). Solve -m*n + 12 = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, b: 4, p: 1, m: 2}. What is prob of sequence bm?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -11 + 21 - -42?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11450 + -2501?\nAnswer: 4545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -1\/1299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -415*i + 414*i + 2*h - 18, 5*h = -2*i - 18 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -30.3. Let f = 3.02 - h. Round f to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -866*a**3 - 137*a**2 + 1752*a**3 - 910*a**3 to the form c*a + i*a**3 + f + t*a**2 and give t.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.78232 and 0.5.\nAnswer: -9.89116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(6*-4))\/((-23)\/(-92)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/9)\/(16\/(-456)). Let c = 19 - 16. Let y be (-133)\/21*(-21 + c). What is the greatest common divisor of y and k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*z - 31. Suppose 2*m + 88 = z*m. Solve b + m = -b - 4*c, -4*c = 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 23*k**2 - 21*k + 27. Let g be a(-22). Suppose -4420 = -5*r + 4*c, 0*r + c = -g*r + 4445. Suppose 158*y - r = 154*y. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.036 + 14.964. Let z = -14.9514 + d. What is z rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-6)\/(-7))*-14. Let s be 692\/(-15) - (-141)\/(-47). Let i = z - s. Sort -0.5, 3\/2, 11, i.\nAnswer: -0.5, i, 3\/2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 0*i**5 + 0*i**6 + 22\/3*i**3 + 9 + 2\/7*i**7 + 0*i**4 + 0*i**2 + 0*i. What is the third derivative of s(w) wrt w?\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(2\/53))**44)**32 assuming x is positive.\nAnswer: x**(146432\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1642 is divided by 255?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020926 to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**6\/120 + k**5\/10 - 5*k**4\/8 + 110*k**3\/3 - k**2\/2 + 204*k. Let n(c) be the second derivative of f(c). Factor n(g).\nAnswer: 3*(g - 1)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4. Let a(p) = -1. Let v(j) = j - 6. Let y(o) = 5*a(o) - v(o). Let z be 0 - (-2 + -1 + 1). Give z*y(n) + k(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -2\/11, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 54*s + 18. Let v(l) = l + 1. Let z(i) = -d(i) + 18*v(i). Let o be -82*((-11)\/(-2))\/(-11). Let y(m) = -14*m + o*m - 26*m. Give z(y(j)).\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 93 and -2.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 374330, 374366, 374402, 374438, 374474?\n\"Answer: 36*c + 374294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 71875 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/30550 and 233\/106882230?\nAnswer: 534411150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16478864?\nAnswer: 2, 1029929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*j + 249976 + 351010 + 319399 = 0. Is j a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7426813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -2*a**4\/3 + 17*a. Let n(c) be the third derivative of -c**4\/6 - 26*c**2 - 10*c. Give n(s(x)).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/12)\/((-19)\/(-209))*-8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-5*(2 + (-12)\/8). Let x(o) = o - 4. Let m(u) = u - 5. Let r(t) = q*x(t) + 4*m(t). Let b(f) = 94*f. Determine r(b(i)).\nAnswer: -94*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3 - 9722*l**2 - 222632*l - 406392 = 0.\nAnswer: -4838, -21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 + 1)*(3*f**2 + 24*f**2 + 3*f**2 + (0*f + f + f)*(-3*f - 3*f + 5*f)).\nAnswer: 196*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1049 - 400. What are the prime factors of k?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-2)\/(-60) + 10\/(-50))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4)*(-8 + 6). Let w be 32\/6*b*(-18)\/(-6). Let t(m) = m**2 + 16*m + 24. What is the smallest common multiple of 2 and t(w)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 522430\/150 - (-2)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 22 = t, -5*a - 3*t + 30 = 2*t. Let j(f) = f**3 - f**2 + f + 13. Let c be j(0). Solve 9 = -3*z, c = 4*v - a*z + 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51162*i**2*v + 182324*i**2 wrt v.\nAnswer: 51162*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (63\/12)\/((-2)\/8). Let r be 8 + -11 + -62*(-1)\/2. What is the tens digit of (-6)\/i - (-2512)\/r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 5*r + 10 = 19, -902 = y - 9*r - 853 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - z = 0, -2*h + 21 = 4*z - 1. Let l be 6\/(-3) - (-2 - h). What is the common denominator of 42 + l\/(-4)*2 and 49\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 + 9660*k**2 + 7708815*k + 7699209. Let z(d) = 15*d**2 - 3*d - 1. Let t(b) = -x(b) + 3*z(b). Determine o so that t(o) = 0.\nAnswer: -1602, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 10*f + 10. Suppose 11 = 5*c + 1. Suppose -c*s + 9 = -7. Determine a(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2605*z + 7576*z + 2.\nAnswer: 4971*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -319, -643, -969, -1297, -1627?\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1043 + -1040. What is the lowest common multiple of p and 1186?\nAnswer: 3558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*r - 12*r + 19 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -479*p. Let x(i) = i**2 - 12*i - 18. Let u(l) = 3*l**2 - 38*l - 57. Let b(c) = 6*u(c) - 19*x(c). What is b(a(g))?\nAnswer: -229441*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113 - -2634. Let c = 25 - 17. Suppose 7*s = c*s - b. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6.8, 6\/5, 5, -382?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77 (base 8) to base 13.\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 7:33 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/3154 + 58353\/12616. Calculate the common denominator of 2\/3*1134\/60 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(30) + sqrt(240)\/(sqrt(8) + sqrt(128)) + (sqrt(1080)*1 - sqrt(1080)))\/((-1*sqrt(100))\/sqrt(10)*-5).\nAnswer: 6*sqrt(3)\/25 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 5*i + 2. Let g(h) = h**2 - 4*h - 2. Let s(c) = 3*g(c) + 2*w(c). Let x be s(3). Let d be -1*1\/(-1)*x. Is d at least as big as 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 8*b**2 - 52. Give u(10).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 < -79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -148 - 20. Let r = -171 - f. Which is the nearest to -2? (a) -1\/8 (b) -1\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 5 + (-4 - 0) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*c + 938*b*o - 215*c**2*o**4 + 5*c**2 - 6292 with respect to o.\nAnswer: 938*b - 860*c**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-39)\/(-26))\/((-54)\/8)*-9. Find the third derivative of 30*w**5 - 3*w**5 - w**5 + h*w**5 - 2*w**2 wrt w.\nAnswer: 1680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -514, -1272, -2030, -2788, -3546, -4304?\n\"Answer: -758*w + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12808917047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 721452.4 nanometers to micrometers.\nAnswer: 721.4524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 2 + -4 + 1. Let i be (-88)\/14 - o\/7. Let h = 14 - i. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -91 + 103. Suppose -5*s + 5*l = -70, -s - l = -i - 8. Let r(f) = -f**3 - 7*f**2 - 7*f - 4. What is the lowest common multiple of s and r(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, 33\/4, 1, -0.08 in ascending order.\nAnswer: -0.4, -0.08, 0, 1, 33\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97 + 38. Let s = w - -62. Solve s*x + 2*x = -25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d - 2079*d**3 + 13 + 2078*d**3 + d. Is 9 a factor of t(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -343.0228 rounded to the nearest integer?\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Suppose 0 = l - 7*l - 30. What is the second biggest value in l, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 26 = y. Let v(j) = 4*j**3 + 15*j**2 - 10*j - 3. Let i(s) = -s**3 - s**2 + 1. Let g(q) = -3*i(q) - v(q). Is g(y) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**2 + 2*t + 1. Let f(s) be the first derivative of s**3\/3 + s**2\/2 + s - 440. Determine -f(m) + i(m).\nAnswer: -5*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-12)\/10)*(-1)\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 7:44 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**6\/5 + 68*f**5\/25 - 69*f**4\/10 - 196*f**3\/15 + 72*f**2\/5 + 128*f\/5 + 9463. Determine t, given that n(t) = 0.\nAnswer: -1, -2\/3, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**4\/24 - 25*z**3\/3 + 21*z**2. Let n be d(0). Let p be (3\/((-3)\/n))\/(4\/9280). What is p rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 49*x**2 + 141*x - 1. Calculate m(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3713373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -182166173 - -24899321. Let i = -157266618.9999901 - f. Let r = -233 + i. Round r to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Let d = 8 + -6. Let q(p) = -3*p. What is d*s(b) + q(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -1\/6, 0.4, 1\/4.\nAnswer: -1\/6, 1\/8, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*l**2 + 2*l - 2*l)*(-7 + 4 - 6)*(7 - 3 + 5)*(-5 + 2 + 1)*(2 - 2*l**2 + 2 + 0) to the form u*l**4 + w + k*l + c*l**3 + r*l**2 and give r.\nAnswer: -5184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 33*q - 98. Give c(6).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2317810 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**2 + 3*m - 2. Let q(i) = i**2 - i + 1. Let u = 3 + 1. Give u*q(n) + j(n).\nAnswer: -n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1779*q**2 + 42*q - 144. List the prime factors of d(3).\nAnswer: 3, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*n - 2*p - 11, -4*n + 5*p + 8 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzz when three letters picked without replacement from qzqzzq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 336\/36 - (-2)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/2 + (-106)\/(-12) + 0 and (1\/4)\/((-2)\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -66 + 11*z**3 - 235*z + 236*z - 39*z**2 - 12*z**3. Let a be x(-39). Put -2, -5, a in descending order.\nAnswer: -2, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*s + 4*s + 4, -4*v = 3*s + 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14506728 is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -38*k**2 + 381*k - 10. Let r be i(10). Let h = 6 - 5.4. What is the closest to 0.2 in 1, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 23*q + 105. Give z(-12).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.22 + -0.3. Let n = 257\/16 + -1293\/80. Which is the smallest value? (a) -1 (b) n (c) h (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/60*85\/(-68). Which is the nearest to 2? (a) 0.06 (b) i (c) -0.3 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10436679?\nAnswer: 3, 11, 47, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55\/4 of a meter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/338247880 and 99\/14?\nAnswer: 2367735160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b - 1750. Let p(n) be the first derivative of n**2\/2 + 18*n + 6. Let m be p(17). Calculate the highest common factor of b and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 35 = 5*z. Suppose 4*w - 23 = z*b, 0*w - 3*b - 1 = 4*w. Suppose w*k = 6*k + 368. Round k to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184046, 184054, 184074, 184112, 184174?\nAnswer: 184266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 less than or equal to -1638\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 6*i + 8. Let o be u(6). Let q(w) = 2*w + 9. Is q(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.139662532456 and -3732?\nAnswer: 3731.860337467544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -239\/4. Let x = 209.14 - 208.64. What is the closest to -2\/3 in 4, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/2520 and 151\/10332.\nAnswer: 103320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 20502342.727 to the nearest one thousand.\nAnswer: 20502000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -133, -0.02, -3\/2, 0, -2\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 60, 230, 514, 912, 1424, 2050, 2790?\n\"Answer: 57*g**2 - g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 1018?\nAnswer: 101c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/3511287?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3900))\/(sqrt(147)*-2).\nAnswer: 10*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, g: 1, h: 3, p: 2, f: 2, e: 2}. What is prob of sequence eg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 3*y - 5, -4*a - 621 = -2*y - 619 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-5 + (2 + 7 + -3 - 11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bljjh. What is prob of sequence hl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 636061291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by -4658\nAnswer: -31\/2329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i + 28. Let n be k(15). What is n rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -6.7. Let m = -0.05 - -0.05. What is the closest to m in k, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/3)\/(-2) - 1. Suppose 0 = -k - 3*i + 12, -1 - 8 = -u*k - i. Factor 8*w**3 - w + 2*w**4 + w**5 - 8*w**k - 2*w**2.\nAnswer: w*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.1 + 4.05. Let s = t + 0.05. Which is the third biggest value? (a) s (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2319 * -160\nAnswer: -371040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by 42.\nAnswer: -23\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34050300 is divided by 36971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + ((2*sqrt(605)*-2 + -4 + sqrt(605) + -1 + sqrt(605) + sqrt(605))*-6)**2.\nAnswer: 3960*sqrt(5) + 22673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**2 - 60*d**3 - 176 + 29*d**3 + 74*d**3 wrt d.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4871 and 10?\nAnswer: 48710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**1*b**(-5\/2))\/(b**(2\/3)\/b)**(-7\/3)*(b**(-1\/4)*b*b**0)**(-21) assuming b is positive.\nAnswer: b**(-685\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) -4 (c) -0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**4 - 2*d**2 + 2*d**2 - 3*d**4 + 8*d**4 - 4*d**4 + (-2*d - 2*d + 5*d)*(2*d**3 + 8*d**3 + 6*d**3) to f + o*d**4 + k*d + c*d**2 + z*d**3 and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 16*b**2 - 4. Give f(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1574 != -1802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 913, 4, -230 in increasing order.\nAnswer: -230, -2, 1, 4, 913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -119111 and -119110 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10237?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d + 3. Suppose 3*q - 68 = -q + 3*h, -18 = -q + h. Let g(j) = q*j + 12 - 2 - 2 - 9*j. Calculate 3*g(o) - 8*p(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 758 - 1063. Let r = b + 306. Solve 2 + r = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4157884 and 984762.\nAnswer: 37420956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1442445.\nAnswer: 3, 5, 23, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 5\/2*i - 5\/2*i**2.\nAnswer: -5*i*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65313 divided by -177\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -29. Which is greater: g or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.550049mm in meters?\nAnswer: 0.007550049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9bc3ff + 9?\nAnswer: -9bc3f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (12437*i**2 - 5234*i**2 - 5775*i**2)*(3 - 4*i - 3) in the form o*i**3 + v*i + x*i**2 + y and give o.\nAnswer: -5712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -483342.\nAnswer: -6\/80557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37000 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -425 + 4263\/10. Let b(a) = -678*a - 3. Let v be b(4). Let g = v + 37955\/14. Calculate the common denominator of t and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50663534?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7028, 7605, 8182, 8759, 9336, 9913?\nAnswer: 10490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/2, -11, 0.04, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 67 = 41. Let x = a + -13. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/22 and 77\/906.\nAnswer: 9966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 48*o**5 + 17640*o**4 + 8811*o**3 + 1101*o**2 = 0?\nAnswer: -367, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 405639495 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(2\/5))**(-5)\/((d*d**(2\/5)\/d)\/d)**(-38) assuming d is positive.\nAnswer: d**(-174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1) + 36\/(-66) + -5.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*(-1 + 2*sqrt(2057)) - (1*(sqrt(153) + sqrt(153) + sqrt(153) + (sqrt(153)*1 - sqrt(153) - sqrt(153)) + sqrt(153)))\/(sqrt(27)\/(sqrt(6)\/sqrt(2))).\nAnswer: -8 + 173*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 225*d**8\/112 + 3*d**7\/7 - 19*d**6\/5 + 12*d**5\/25 + 18*d**4\/5 - 16*d**3\/5 - 14*d**2. Factor o(p).\nAnswer: 3*(3*p + 2)**2*(5*p - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 102457 = -5*c - 242546, -3*c = -y + 206997. Round c to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - c + 1. Let i be m(3). Let s be i + (-3 - (-3 + 1)). Solve 5*g - s*g = -4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 8, 1\/6, 1, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.0286, 2, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12767 a factor of 787600285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 12*q**2 - 14*q + 6. Let i be p(13). Let z be (-5)\/(-7) + (-2)\/i. Calculate the greatest common divisor of 5 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - (-16)\/5*2875\/10 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 21*t**2 - 14*t + 55. Let r(h) = -11*h**2 + 7*h - 27. Let l(g) = 6*a(g) + 11*r(g). Does 13 divide l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 1 + 1 = 0. Let k(s) be the second derivative of -1\/5*s**5 - 1\/6*s**4 + g*s**6 - 4*s + 1\/2*s**3 + 1\/42*s**7 + 0 + s**2. What is j in k(j) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10578 - -5?\nAnswer: -10573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 1175065.\nAnswer: -1175065.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1894812308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = d + 109832*r - 109831*r, d - 9 - 4 = 4*r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/39)*n\/(n*n\/(((n**(-21\/2)*n)\/n)\/n)*n)*n*n)\/((n*n**1)\/n*((n*n**0)\/n)\/n))**45 assuming n is positive.\nAnswer: n**(-13485\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**2*s)**(-23) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00855676 take away 670?\nAnswer: -669.99144324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*m = g - 265, 0 = -m + 2. Suppose -2*h = -17 + 7, g = 2*c + 5*h. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11052 rounded to 3 dps?\nAnswer: -0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16 and -82.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrc when three letters picked without replacement from rrrc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 3*x - 1, x + 4*x = 5*t + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1597302*v + 2. Let f(y) = 10*y. Calculate f(w(k)).\nAnswer: -15973020*k + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**2. Let z(r) be the third derivative of 13*r**7\/2520 + 5*r**4\/4 - 119*r**2. Let x(p) be the second derivative of z(p). What is g(x(v))?\nAnswer: 1183*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 955321573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 749523 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Put -0.5, i, -2\/5, 0.2 in decreasing order.\nAnswer: i, 0.2, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/11? (a) -0.3 (b) -2\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + a - 1. Let p = 591 - 575. What is the remainder when p is divided by i(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 8. Let b be s(7). Let p(v) = 4*v + 3. Let u(z) = -z. Let d(o) = -3*o - 1. Let a(c) = -d(c) + 2*u(c). What is b*p(g) + 3*a(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*v = 22948, -3*v - 25 = -43. Is 139 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, e: 6, l: 10}. Give prob of picking 1 y and 1 l.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52720 (base 8) to base 4.\nAnswer: 11113100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 49*d**5\/40 + 63*d**4\/16 + 5*d**3\/2 + d**2\/2 - 61. Let j(c) = 0. What is c?\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(160)\/sqrt(8) + (1*sqrt(405) - sqrt(405))**2.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g + 48 = 0. Let b = 4 + g. Let x = -13 - b. What is the remainder when 19 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -5 - (1 + -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -242 + 242.00000238. Round v to seven dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*r**2 - 23*r**2 + 140 - 17*r**2 + 142*r = 0.\nAnswer: -70, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2 + 0*h + 6*h**2 - 6*h**3 - 1 + 6*h**3 + h**3 - 2*h. Give y(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166.98 - -166.48. Which is the second biggest value? (a) 290 (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000111011202222 (base 3) to base 2\nAnswer: -110111101110011110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1432*f - 3948*f - f**2 - 6 + 5.\nAnswer: -f**2 - 5380*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**2 + 2 - 2)*(10*h - 4*h + h + (1 + 1 - 4)*(16*h - 7*h - 11*h)) to the form l*h**2 + u + w*h + o*h**3 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/408)\/(58176\/(-10302))?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0652 or -20\/21?\nAnswer: -0.0652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119417011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**4 + b**3 - b**3 + (7 - 7 - 10*b)*(40*b**3 - 525*b**3 - 479*b**3) in the form z + d*b**4 + x*b**2 + f*b**3 + p*b and give d.\nAnswer: 9643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3 - 1 + 3 + 0. Let n(q) = -q + 5. Let u(z) = n(z) + 6*s(z). Let j(b) = 2. Let o be 0 + (1 - (-1 + 1)). Determine o*j(l) + u(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5699.26mm in centimeters?\nAnswer: 569.926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2372 - 5128. List the prime factors of 26\/65 - s\/10.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 622672 + 455715. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-132) - (-5 + 780\/66 - (4 - -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, -4, -131, 239, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27628.0298 + 27625. Round w to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 611 - 621. Suppose 5 = -3*x - 4. Sort a, 0.3, x.\nAnswer: a, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*o - 418 + 418)*(-1 - 2 + 1)*(3 + 2*o - 3) to q*o**2 + l*o + m and give q.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b**3 - 24*b**2 + 4*b + 12. Let p(w) = 22 - w**3 - 10 - 13 + w**2. Let j(v) = -12*p(v) - r(v). Let j(a) = 0. Calculate a.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 569\/38*4 - (103 - (-21549)\/(-209))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 5. Let t(w) = -w + 2. Suppose z - 3*u + 1 = 0, -5*z + 4*u - 4 = -3*z. Let o(p) = z*y(p) - 11*t(p). Let j be o(-2). Solve -4*f + 5*f = j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122440 (base 5) to base 11\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*l**2*r*w + l**2*r - 3*l**2*w*x - 4*l*r*w*x + 13*l*r*w - l + r wrt l.\nAnswer: 22*r*w + 2*r - 6*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*p + 0)*(2*p - 2*p + 2*p**3) - 3*p**4 + 3*p**4 + p**4 - 2078*p**4 + 678*p**4 + 1055*p**4 to g*p**4 + w*p + o + d*p**2 + a*p**3 and give g.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -14*n**3 - 783*n**2 + 56*n. Let a be d(-56). Solve a = 5*b - 2*u - u + 2, 0 = -2*b + 2*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-1)\/52*-8))\/((-18)\/(108\/(-6)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 8. Let c = n - -6. Let o = c - 0. Solve -o*d - j + 1 = d, -2*d - 3*j - 7 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 73664749 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 650199.7t?\nAnswer: 650199700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 755*v**2 + 22*v**3 + 755*v**2)*(1 - 1 - 1).\nAnswer: -22*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*z**5 + 19*z**3 - 3*z - 117 wrt z.\nAnswer: 820*z**3 + 114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auk when three letters picked without replacement from kaphhuazz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.61 + -80.72. What is k rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b**5\/7 - 22*b**4\/7 - 22*b**3\/7 - 2*b**2\/7 + 4*b\/7 = 0. What is b?\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7972292.212 rounded to the nearest ten thousand?\nAnswer: -7970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 711.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12\/25 of a century?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14307143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 67314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31470 + -10279. What are the prime factors of g?\nAnswer: 21191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14312?\nAnswer: 2, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 71. Let a = -96.65 + 73. Let s = r - a. Round s to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -17*t - 334. Let z be h(-20). Let o = 215 - 362. Let b be -1 - (o\/3 + 0). Calculate the greatest common factor of b and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -37*r**3 + 21*r**3 - 1 + r + r**2 - 3*r**3 - 56*r**3. Is t(-1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8983479035 - 0.279?\nAnswer: 8983479034.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.17159?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00103 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 - 2 = 0. Suppose 0 = n*a - 0*a - 24. Suppose 0 = -a*r + 3*r + 15. Solve 0 = r*x - 33 + 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 2. Let d = 16 + v. Solve d*u - u + 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4876.078 rounded to the nearest 10?\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 12:19 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*b - 36 + 146 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 + 0.3. Let f = -10.59 + 0.27. Let h = f - -10.42. What is the second biggest value in w, -4, 1\/7, h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 4*i - 49, -4*q - 117 + 85 = 2*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 185 + -127. Suppose 0 = -4*v - 3*l + 244, -4*l - 220 = -4*v - l. Find the third derivative of -9*m**2 + 6*m**4 - n + v wrt m.\nAnswer: 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 0*w + 5\/6*w**3 + 7\/2*w**2 - 1\/24*w**4 + 4 + 1\/120*w**6 - 1\/10*w**5. Let b(j) be the second derivative of f(j). Give b(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*r**2 + 2467*r**4 - 6*r**5 + 7*r**2 - 2467*r**4 - 8 - 3*r**3 wrt r?\nAnswer: -360*r**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1351.65288 to the nearest ten.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 354.097915 rounded to two dps?\nAnswer: 354.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d + 4*i - 17 = 0, -3*i + 12 = 0. Let v(r) = r**3 - 2*r**2 + 2*r + 3. Let l be v(d). Let w(z) = -3*z - 2. What is w(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31980720, 31980721, 31980722, 31980723, 31980724?\n\"Answer: c + 31980719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p - 15. Let n be x(-3). Let q(i) = i - 7*i + 3*i + 3*i**3 - n*i + 4*i + 1. What is q(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105530 to the power of 1\/2, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 17076976 divided by -28\nAnswer: -609892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/6)\/((-310)\/(-429195))?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 34\/8 - 4 - 2312\/(-64). Do 37 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91429130 rounded to the nearest one million?\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 22*z + 159. Let n be r(-7). What is the highest common divisor of 171 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2523*k - 12344. Calculate j(5).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w - 252 = -23*w. What is the greatest common factor of w and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139.7 + 153. Let l = f + -0.3. Let t = -13.015 + l. Round t to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1874, 7, -9 in decreasing order.\nAnswer: 7, 3, -9, -1874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**5\/30 - 17*d**4\/12 - 3*d**3 + 1881*d**2. Determine l(17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814913006 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = 15 - 105 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*q + 5 + 11, 4*q = -4*b - 12. Sort 3, 0, b in descending order.\nAnswer: 3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111202 (base 3) to base 15.\nAnswer: 19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 372532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o - 5*o + o)*(5 - 1 - 3) - o + 0*o - o + (2*o - 2*o - o)*(-3 + 2 + 2) + 0 + 0 + o to y + q*o and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5. Let c(x) = 2*x**2 + 2*x + 2. Calculate the remainder when c(-6) is divided by -2 + f*22 + 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119751 or -119750?\nAnswer: -119751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 22*u - 53. Determine y(9).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -187*g - 37*g**3 + 87*g**5 + 13*g**3 - 2*g**4 - 3 + g**4 + 24*g**3 wrt g?\nAnswer: 1740*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7280, -14566, -21856, -29150, -36448, -43750?\nAnswer: -51056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 418513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*q + 44, -r = -q - 0*q + 13. Calculate the greatest common factor of 60 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*t + 13, 0*i + 7 = 5*i - 2*t. Solve 4*l + 19 = -l + i*u, 4*u = -4*l - 28 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 5*j**3\/3 + 1. Let t(r) be the first derivative of r**2 - 22. Determine t(n(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 7.3. Let q = -4.3 - w. Let k = 2.5 - 2. What is the smallest value in q, -6\/5, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 2050*h + 22348. Determine v(-11).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7943.98 - -9080.6544. Let n = -1136 + x. Let s = -0.7 + n. Round s to three decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42616058*q - 46575481 wrt q.\nAnswer: -42616058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/13 (b) 804\/7 (c) 0.057669 (d) 4 (e) -4 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(125) + 3 + -5)**2 + 4.\nAnswer: -50*sqrt(5) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 422*j - 420.\nAnswer: -2*(j + 1)*(j + 210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 15*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h - 2 + 2 - h**3 - 4 + 8*h**2 - 2. Let n be f(9). Solve -3 = 6*t - n*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 5 + sqrt(405) + sqrt(405)*2)*-1)**2.\nAnswer: 162*sqrt(5) + 3654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(0*d + 2*d + 11*d)*(-1 - 3 + 5).\nAnswer: 26*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125029?\nAnswer: 125029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - 8*n**3 - 16*n**2 + 32*n.\nAnswer: 4*n*(n - 2)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 11, a: 2}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (411 - 100*j - 411)*(-4*j**3 + 3*j**3 + 2*j**3)*(-j - 2*j + 5*j).\nAnswer: -200*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -5*o - 86. Let y = o - -51. Suppose y - 2 = 2*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1043 + 1043.5. What is the third biggest value in -3, m, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from jjjbbjjbjnnnnjjjnnb?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25060531, 50121071, 75181615, 100242163, 125302715, 150363271, 175423831?\nAnswer: 200484395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -517, -490, -439, -358, -241?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -4. Sort a, 0.04, -0.3 in ascending order.\nAnswer: -0.3, 0.04, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + 35\/(-5) + -5. Suppose -14 = -y + 5*f, -14 = 2*y + 2*f - 6. Let k(u) = u**3 - u**2. Let w(m) = -3*m**3 + 5*m**2 + 2*m + 2. What is d*k(q) + y*w(q)?\nAnswer: -2*q**3 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t + 1 + 28 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*x = -67*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t + 243 = -157 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937848381?\nAnswer: 3, 312616127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -87*j**2 - 20*j + 1164. Let s(l) = 175*l**2 + 41*l - 2304. Let u(h) = -9*n(h) - 4*s(h). What is the derivative of u(a) wrt a?\nAnswer: 166*a + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.29987925 + 35.3. What is p rounded to six dps?\nAnswer: 0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-5) + 26\/5. Let l(w) = -w + 7. Let a be l(5). Suppose -42*j = -44*j - a. Sort 1, j, d.\nAnswer: j, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*o - 2 - 2, 5*o + 10 = 3*k. Calculate the common denominator of 24 and (-87 + k)\/((-12)\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/8)\/((-3)\/504). Let c = 389 + x. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 716 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - 2 - (19 + -5 + -7 - (4 - -1)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -1)*1 - 0\/2. Suppose -14*s + 17*s - 5358 = 0. Let f = 305404\/171 - s. Are f and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**2. Let m be (5\/(-25))\/((-2)\/(-4) - 1014\/1820). Let q(n) be the first derivative of m*n**2 + 0*n - 18. Calculate q(p(x)).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -8, 4, -2\/9, -234?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -33 - 3225\nAnswer: -3258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 8*o**2 - 7*o - 8. Give n(-9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0 - 2*y)*(-22*y**3 - 2*y**3 - 8*y**3).\nAnswer: 64*y**4 + 32*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.392, 1\/1830, 0.3 in decreasing order.\nAnswer: 0.3, 1\/1830, -0.392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/69101425?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1721*y + 839*y - 1 + 334*y.\nAnswer: 2894*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 4:57 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2 + 31. Let s(y) = -12*y**3 - 5*y**2 + 2 + j*y**3 + 2 - 4*y. Give s(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 + x**4 - 2*x**4 + 3*x**4 - 2*x + 2*x**2 - 1 to the form k*x**4 + z*x**2 + l*x**3 + o + w*x and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 0.9, -1, 2, 319?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 3*t. Let w be x(2). Suppose n = -3*r - w, n + 4*n + 22 = -3*r. Is 0 + -2 + r*55 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*t + 289. Suppose 0 = -v + o + t, v - 20 = -4*o + 45. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 477 and 9108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 197112 and 7296?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**3\/9 + 2*g**2\/9 - 26*g\/9 + 4\/3 = 0.\nAnswer: -3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -11. Let x = i - 8. Differentiate -7*z - x - 7 + 13*z**4 + 7*z wrt z.\nAnswer: 52*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -560415, -1120882, -1681363, -2241864, -2802391, -3362950?\n\"Answer: -d**3 - d**2 - 560457*d + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i - 8*i)*(3 + 6 - 8)*(-i - i - i) + (6 - 2 + 0)*(i**2 + 0*i + 0*i).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 25*d**2 - 3*d - 75. Let x be b(-25). Suppose x*a = -11*a + 66. Put -2\/7, 0, 0.3, a in ascending order.\nAnswer: -2\/7, 0, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34*a*z - 294*a - 2*z**2 - 8*z wrt z.\nAnswer: 34*a - 4*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 152953301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 38204721.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 4083950.\nAnswer: 8167900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8505*w - 491*w + 4961*w - 1615*w.\nAnswer: 11360*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -573, -1149, -2087, -3381, -5025?\nAnswer: -7013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.6, -3, -1.42?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55 - 52) + (-2 + 3 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 9. Give g(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(2\/11)*d*d\/((d*d\/d**15)\/d*d) assuming d is positive.\nAnswer: d**(178\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -70, 2800\/3, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Suppose -11 = -q - 0*q + 3*x, -6 = 2*x. Let c(v) = 5*v + 1. Calculate q*k(u) + c(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.96 - -3.64. Let v = -32 + p. Which is the second smallest value? (a) -0.15 (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29953 + -29953. Which is smaller: f or 19\/455?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*j**2 + 4*j**2 - 4 - 11*j**2 with respect to j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11684)\/(-368) - ((-21)\/(-12) + -1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*r - 1823 = 186*r + 1237 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.10322 times 0.8\nAnswer: 0.082576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83 and 1162?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 452311214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/135 and -19\/1440.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -103, -118, -133, -148?\n\"Answer: -15*s - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 11:01 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -279610 to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 1443?\nAnswer: 7215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r + 1 + 4*r**2 - 28 - r + 24. Let w(l) = -5*l**2 + 3*l + 2. Give 3*i(u) + 4*w(u).\nAnswer: -8*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/5 + 416*w**2\/5 - 2532*w\/5 = 0. What is w?\nAnswer: -422, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 8:22 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 24. Let j be q(11). Suppose -t - c = -4*t + j, 0 = c + 4. Solve 5*x = -s + 22, 2*x = t*s + 2*s + 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -336, -671, -1006, -1341, -1676?\n\"Answer: -335*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 r, and 1 k when three letters picked without replacement from krkkxrkmrkr.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2893375 and -4\/1975?\nAnswer: 2893375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63295*z**4 + 6*z**3 + 426050*z?\nAnswer: -759540*z**2 + 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + (72\/1 - 3) + 2?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 24. Which is the nearest to 0.1? (a) h (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 40*d - 1. Let a be h(1). Let y(r) = r**3 - 6*r**2 - 6*r - 3. Let b be y(7). Suppose a = 5*t - b*t. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 - 222773065?\nAnswer: -222773113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 514\nAnswer: -7\/514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2170 + -40640005.9?\nAnswer: -40642175.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23026*r**3 - 2 + 15554*r**3 + 12988*r**3 + 2.\nAnswer: 5516*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -63 - 17. Suppose w = k + 28. Calculate the greatest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1659 - 1589 - (1 + 40)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -21529*i + 107645. Calculate a(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 147*p. Give b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1372774237550 + 1372774241379.000002073. Let q = -3829 + o. What is q rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 3:42 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s = -360. Suppose 0 = -m + 3*m + 2*b - 56, -3*m + b = -s. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 9*u + 15. Let g be f(7). Suppose 0 = 3*a + 4 - g. Is a less than -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3823 = -l - 27*u + 22*u, 0 = -2*l + u + 7624. What are the prime factors of l?\nAnswer: 3, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313447 is divided by 2036?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12627*-5\nAnswer: 63135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(1\/4 + 0). Let i be ((-75)\/10 + 7)\/(2\/(-8)). Solve i*d = d - q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**16*(l*l**(-2\/13)*l)\/l)**17 assuming l is positive.\nAnswer: l**(3723\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -20.7, 1\/6, 67069 in descending order.\nAnswer: 67069, 1\/6, -20.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 6\/33 + ((-24979224)\/132)\/(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.04 (b) -952 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6839079*a*v + 10992646*a wrt v?\nAnswer: 6839079*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 330551907 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127432 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (455\/65)\/(-4*(-4)\/32).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 280*r**2 - 69*r + 9. Let y(s) = 70*s**2 - 17*s + 2. Suppose 3*b = 124 - 130. Let u(k) = b*o(k) + 9*y(k). Find the second derivative of u(x) wrt x.\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fud when three letters picked without replacement from wwfduwu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 613 + -3384. Is -2771 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 40 - 260 = 0. Let w = h - -89. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((93184\/32)\/56 - 53)\/(2\/268).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*o + 12. Suppose -o = -3*t + 6, -5*t = 4*i - 7. Let g(u) = -3*u + 13. Let z(a) = 8*a - 37. Let h(v) = 17*g(v) + 6*z(v). Give h(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 2. Let j = -37 + 37. Let v(b) = -b**3 + b**2 - 2*b + 53. Let n be v(j). Let c = n + -56. Determine t(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*sqrt(11))**2*2 + (sqrt(396)*-2)**2) - ((sqrt(275) - (sqrt(275) - -6*(sqrt(275) + 1))) + (sqrt(275) + 0)*3)**2.\nAnswer: -4183 - 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m**2 - 4*m + 3. Let n be w(1). Solve 5*h - 14 = -3*u, -n*h + u - 3 = -5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4001551 - -1335?\nAnswer: 4003330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(-21)*2*33. Let h be 4\/1 + b*3\/(-6). What is the second derivative of 421*d - h*d**4 - d**4 - 435*d wrt d?\nAnswer: -192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592 is divided by 447?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**7\/105 + 533*v**5\/60 - 635*v**4\/24 + 1619*v**2. What is the second derivative of t(q) wrt q?\nAnswer: -24*q**2 + 1066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 641.06 (b) 6\/5 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - 2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 121608*c**2.\nAnswer: 4*c**2*(c - 30402)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -4 + (-17 + -19 - -26)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1749798, -3499596, -5249394, -6999192, -8748990?\n\"Answer: -1749798*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3))**27\/((u**(-6)\/u)\/(u**(1\/5)\/u*u))*u*u\/((u**(-6)*u*u)\/u)*u\/(u**(-1\/3)*u)*u**(-4)\/u**(-1\/2) assuming u is positive.\nAnswer: u**(871\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 divided by 5?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.455759kg to tonnes.\nAnswer: 0.000455759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 648 (base 15) to base 4\nAnswer: 112022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1190971964 to the nearest integer?\nAnswer: 34510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 337 = -256 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3368 is divided by 607?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -397700 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15466347 and 11838?\nAnswer: 30932694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2066 + -1162?\nAnswer: -3250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((756\/(-30))\/9)\/((576\/20)\/8)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34998 and 342?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p - 104. Let s be q(10). Is 12 a factor of 14184\/32 + (-18)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 1. Let t be c(-3). Suppose b + 100 = 5*n - 41, 3*n - t*b = 71. Calculate the greatest common divisor of n and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44\/3 - -14. Let w = 6.17 - 5.77. What is the smallest value in 5, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 75. Let q = -299.4 - -238. Let j = m - q. Round j to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + (-16)\/(48\/(-441)) is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10249.304774 from -0.3.\nAnswer: -10249.604774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -17*z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19628 - 19628 - 712*v)*(4 - 29 - 2).\nAnswer: 19224*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1015 - 743. Is 49 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.92207km in meters?\nAnswer: 43922.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55583 - -166751\/3. Find u, given that 0 + k*u**2 + 4\/9*u + 2\/9*u**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(51))\/sqrt(3)*2 + 2*(sqrt(68) + 3 + sqrt(68)))*1*-6)**2.\nAnswer: 6912*sqrt(17) + 157968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 + 2*u - 78. Let o(a) = -9*a - 293. Give i(o(t)).\nAnswer: -324*t**2 - 21114*t - 344060","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(23 + 5)*(-28)\/(-106). Is m less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n + 5*c = 21, -24 = -3*n - 5*c. Put n, 0, -1 in descending order.\nAnswer: n, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d59a (base 15) in base 14?\nAnswer: 26c8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**3 - 605*a**2 + 2*a + 5654 wrt a?\nAnswer: 18*a - 1210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122211223 (base 4) to base 7.\nAnswer: -632341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + v**2 + 0*v + 0*v**2 + 0*v**2 + 4*v**2 + (v + 2*v - 2*v)*(-2*v - 2*v + 5*v) + 0 + 0 + 3*v**2 to the form z*v + a*v**2 + h and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 882612082 to the power of 1\/2, to the nearest integer?\nAnswer: 29709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6201000 and 20670?\nAnswer: 6201000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2889\/4 + -722. Which is greater: 2\/55 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-1) - 12\/(-6)*1. Suppose -u*p = -93 - 21. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 50*d**2 - 175*d + 3694. Calculate m(52).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12)\/(5\/((-80)\/(-2)))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 4, -0.4, 6925, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15504715 (base 9) to base 16\nAnswer: -761624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.8394679 days?\nAnswer: 72530026560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/(-60)*(-10)\/(-4). Let v(c) = -2*c**3 - 4*c - 3. Let f be v(j). Suppose 0 = 4*d - 20, -4*k + f = d - 0*d. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1507492035.\nAnswer: 3, 5, 7, 97, 103, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 955 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 47333 = 5947. Let l = -36 + k. Does 16 divide (l\/81)\/(2\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8*9\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -11. Let b(o) = 3*o - 9. Calculate the remainder when 6 is divided by b(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -342556786 + -0.53\nAnswer: -342556786.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 717 + -641.25. Let c = -77 + r. Let f = -8.44 - c. What is f rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2476?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2248 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:29 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.751 + -0.249. Which is the smallest value? (a) -4\/9 (b) t (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3003)\/4290)\/(1*(-1)\/2).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-3 - 12) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/49219500 and 49\/1968780?\nAnswer: 49219500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**5\/120 + 5*i**4\/8 + 44*i**3\/3 + 121*i**2\/3 + 757*i. Suppose z(l) = 0. Calculate l.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 958608 and 30240?\nAnswer: 9586080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 0.4, 3, -1\/37, 32?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -53764.\nAnswer: -5\/53764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -115 + 123 - (3 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127931\/46 - 2781. Let u be (-1)\/(-2)*(-7 - 149285\/11300). Let d = u - -5\/904. Calculate the common denominator of y and d.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*i**3*j**3 - 13*i**3*j**2 - 2*i**2*j + 16173*i*j**3 wrt i.\nAnswer: 174*j**3 - 78*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/750)\/(((-372)\/(-80))\/(-31)) + -1?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -10, 0, 7 in decreasing order.\nAnswer: 7, 5, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -200 times 14633\nAnswer: -2926600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -51 (b) 14920 (c) 3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5937335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*o = -161*o - 144. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.7 and 10?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 192, 218, 256, 312, 392, 502, 648?\n\"Answer: p**3 + 19*p + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-13)\/(156\/(-37500)))\/1 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 + 90.99993. What is k rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(684)) + (sqrt(684) - -2*sqrt(684)) + 5.\nAnswer: 17 + 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 682507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3036145601 to the nearest integer?\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/11 - 58*w**4\/11 - 838*w**3\/11 + 172*w**2\/11 + 2407*w\/11 - 1682\/11 = 0. What is w?\nAnswer: -29, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 2) + (-15)\/(-1). Suppose -p = -4*t + 2*t. Suppose -3*g - 2*g + 10 = -4*r, 4*r = -4*g + t. Let f(s) = s**2 - 4. What is f(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 1 = -3*s + 18, -z - 10 = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -22*a + 9. Let v be z(-5). Suppose 4*b - v = 17. Let f be (13*-1)\/((-17)\/b). What is the highest common factor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p + 32*p + b = -6858, 0 = -3*p + 2*b + 5141. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 4*s + 4 - 17 + s to v + p*s and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -5*l**3\/3 + 65*l**2 + 135*l - 227. Suppose f(h) = 0. Calculate h.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -3, -2.08, 17 in ascending order.\nAnswer: -3, -2.08, 17, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.1, -3, -37, 7, -4 in increasing order.\nAnswer: -37, -4, -3, 0.1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 2*a - 8. Let i be w(-4). Solve -3*q = -7*q - i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14951 by -20.\nAnswer: 14951\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (48\/20)\/(-12)*-10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-55)\/88 - (2 - 5\/2). Sort -1, 1\/3, b, -0.5.\nAnswer: -1, -0.5, b, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y - 2. Suppose 5*n - 5 = -0. Solve -n = b - y*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0*y**4 + 0*y**3 - 1\/4*y**5 + 4*y - 1\/2*y**2 + 0. What is the derivative of v(t) wrt t?\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1183\/589 - 40\/19. Let b be (-5 + 3)\/(((-8)\/22)\/2). Suppose -7*y - 4*y + b = 0. Which is smaller: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1348954 by 21.\nAnswer: -1348954\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -570910 divided by 74\nAnswer: -7715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 896*r**5 + r**2 - 226*r?\nAnswer: 53760*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 9*w - 12. What is n(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5737113?\nAnswer: 3, 373, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 1:45 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-4))\/(7\/(-14)). Which is the third biggest value? (a) -4 (b) -0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o - 1. Let g(b) = 5*b**2 - 326*b + 5030. What is the lowest common multiple of g(24) and h(-1)?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -232 - -247. Let w(o) = 2*o + 1. Let s be w(1). Solve 3*t + 4 + s = 5*l, -5*l = 5*t - g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Let k be 6*3\/6 + 11. Suppose -o + k = 9. Solve -9 = y*w + o*a, 4*a = w + w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 179647.\nAnswer: 179652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60452*f**2*s**3 + 71*f**2*s - 11*f**2 - 17*f + 7191 with respect to s.\nAnswer: 181356*f**2*s**2 + 71*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343272*m**3 + 316402*m**3 - 659694*m**3.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981929721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 bigger than -627\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130625, -130631, -130655, -130709, -130805?\nAnswer: -130955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 2 - 2 - -6. What is the highest common factor of t and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**3\/d)\/d)**(2\/7))**(-31)*(d**(2\/17)*d\/(((d*(d**(-2\/13)\/d*d)\/d)\/d)\/d))**(2\/23) assuming d is positive.\nAnswer: d**(-305024\/35581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -2. Let r(n) = 33*n - 101. Let v be r(3). Which is the fourth biggest value? (a) -0.3 (b) 0 (c) l (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = f - 3*n - 7, -2*n = 2. Suppose -30 = -5*c + f*c. Suppose 7 = -4*d - 2*g + 17, -2*d = -4*g - c. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11563 is divided by 770?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*n + 40 + 3*n - 4*n**2 + 11*n - 11*n.\nAnswer: -4*(n - 5)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + -2*(-5 + 3). Suppose 0 = 5*u - 3*d - 100111, -40*u + 41*u - j*d - 20025 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a*g*w**3 - 5*a*w**2 + g**2*w**3 + 6*g**2*w + 2*w**3 wrt g?\nAnswer: 2*a*w**3 + 2*g*w**3 + 12*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 204.6 - 278. Let d = o + 72.967. Let w = 0.013 + d. What is w rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/1548 and -37\/226524?\nAnswer: 679572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8586 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*a + 14. Let u = 1 - 1. Suppose 0 = -2*m - u*m + a. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 g when two letters picked without replacement from {t: 3, f: 1, u: 2, g: 1, j: 3}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -134*o**2 + 346*o**2 + 7*o**5 - 210*o**3 + 102*o**3 + 129*o**3 wrt o?\nAnswer: 420*o**2 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -150*d**3 - 3*d**2 - 2*d - 1. Let g be o(-1). Suppose 0 = -5*p + g - 123. What is the smallest common multiple of 35 and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/18*(-12 + (-6327)\/(-1140))?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*t + 0*k - 2*k - 11 + 654 = 0, 3*t - 5*k + 19 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q - 73 = 5*x, -97 = 5*q - 4*x. Let s be -3*(0 - 2\/q). Let j = 67\/34 - 8\/17. Put s, 1\/5, j in decreasing order.\nAnswer: j, 1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65451889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 2*w + 20, 18699*m + 5*w = 18684*m + 70 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.409, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 + -53. Let t = -19 + 19.4. Which is the second smallest value? (a) t (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)*3)\/(2*sqrt(539)).\nAnswer: 9*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2 - 10 = 0. Let b be 2 + 0\/(c - 4). Let g be (6 - 10)*(-1 - 0). Solve -z + b*z = -t - 2, 0 = 5*t - z + g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 12 + 2*a**3 - 2*a**4 - 9 + 2*a in the form v*a**3 + p*a**4 + s*a + b*a**2 + l and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*x - 258, 0 = 128*j - 132*j + x + 516. What is the highest common divisor of 3999 and j?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z + 15. What is o(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 42 (b) -1\/9 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(19) - -1*sqrt(95)\/sqrt(5)))*-2.\nAnswer: -4*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -51e72e (base 16) in base 11?\nAnswer: -3036835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 11*p - 114. Determine l(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v**5\/5 + 136108*v**4\/5 + 499012*v**3\/5 + 680448*v**2\/5 + 408262*v\/5 + 90724\/5 = 0.\nAnswer: -22681, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2. Let d(l) be the second derivative of -l**3\/3 + 13*l. Give m(d(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/5324 and -117\/230?\nAnswer: 612260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 51. Suppose 1 = -4*w - 11. Let v be 46\/8 - w\/(-4). What is the third biggest value in v, s, -4\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 58*g**2 - 4*g - 3. Give s(-1).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000032733 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 0*f - 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 u, and 1 y when four letters picked without replacement from uwjuwjuyuwuuujjyuwu.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 6:56 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 + 22.2. Let l = h + 50.5. Sort -0.5, 3.6, l.\nAnswer: -0.5, l, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 37297, 3, 5 in descending order.\nAnswer: 37297, 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 108960 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*-7.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*o + c + 523, -416 = -4*o + 3*c. Let t = o - 536\/5. Let x = 21 - 37. What is the second smallest value in x, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -121. Calculate the remainder when r is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 308 + -174. Suppose 2*v - s = -0*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12953, -25958, -38979, -52010, -65045?\nAnswer: -78078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - 37. Suppose -2*l - g = -j, 4 = -2*l + 5*g - g. Suppose 20 = l*w - 2*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1040624\/5 - -207302. Let m be 2480\/3 + 2\/6. Let c = m + o. Which is bigger: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5 + 165363*d**4 - 6836478483*d**3 + 20508443281*d**2 - 20508112560*d + 6835982400 = 0.\nAnswer: 1, 82680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 - 65*g + 784. Calculate m(-42).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1784 (base 13) to base 7\nAnswer: 13112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -285 + 333. What is the greatest common factor of h and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 35*c**3 + 2*c**2 + c + 1. Let p be t(3). Let f be ((-112)\/(-12))\/((-20)\/30). Is (-15 - f)*p\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (5 + -12 + -3 + 10) - -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1, 4, 890, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 0*w**3 - 3*w**2 - w + 2*w**2 + 1. Let c be u(0). Suppose -4*h + 13 = c. Solve -6 = -m - h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -80250, -162016, -243782, -325548, -407314?\n\"Answer: -81766*g + 1516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13922.19 + -13839. Round t to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/19)\/(x\/(x*x**(-9))))**(-1))**(-4\/5))**(10\/3) assuming x is positive.\nAnswer: x**(-1384\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2924405.7s in minutes?\nAnswer: 48740.095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 3, -5.\nAnswer: -5, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((0 + sqrt(112) + -1)**2 - (sqrt(112) - (sqrt(112) + 2 + -1*sqrt(112))**2)).\nAnswer: -12*sqrt(7) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 12:29 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -577323314, -1154646631, -1731969948, -2309293265, -2886616582, -3463939899?\n\"Answer: -577323317*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -b - 16, 4*k = -k - 5*b + 25. What is the remainder when 53 is divided by 18 - ((-15)\/5 + k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (23 - 18) - (0 - -28 - 6)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {o: 3, w: 6, u: 1, v: 1, j: 1, l: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**2 - 11*p - 20. Let x = -3279 + 3272. Give j(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2 - 45*n + 108 = 0. Calculate n.\nAnswer: 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253848, -252296, -250744, -249192, -247640, -246088?\nAnswer: -244536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14574 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2*(-3 + (-255)\/(-10)) and 315.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 44. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 27*f**2 - 2*f - 1. Let x be w(-1). Let v be x\/6 + (-2)\/3. Solve 3*u - 2 - v = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.7 + -0.05.\nAnswer: 4.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2093925 is divided by 189.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*4\/(8\/(-3)). Let g = v + 3. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(5\/4)*u**0*((u\/(u*u*u**(3\/4)))\/u)\/u**2*(u**(-4)*u\/u**(-11))**(-6\/11) assuming u is positive.\nAnswer: u**(-173\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -267283 (base 12) to base 15\nAnswer: -c8043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10224, 10841, 11878, 13341, 15236, 17569?\n\"Answer: d**3 + 204*d**2 - 2*d + 10021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11063 (base 13) in base 14?\nAnswer: -b34b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, -5, 0.011, 0, 6 in decreasing order.\nAnswer: 6, 5, 0.011, 0, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 5\/2*l**2 + 0*l - 3\/2*l**6 + 0*l**4 + 3*l**3 + 17 + 7\/5*l**5. What is the third derivative of d(t) wrt t?\nAnswer: -540*t**2 + 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 0*l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -150 - -152. Is 46 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 1\/17 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 216672, 216673, 216674?\n\"Answer: w + 216671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(300) - sqrt(3)) - (sqrt(17) + -2 + sqrt(17) + sqrt(17) + sqrt(17))**2*6.\nAnswer: -1656 + 865*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -254 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 - 20*r - 105.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6 = 7. Let m be s + -1 + 48\/2. Let q = m + 53. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -1711a29a?\nAnswer: -1711a2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 14058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*l - 10633 = 6328, -2*v + l = -33895. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -2da7?\nAnswer: -2da5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12721 or -190819\/15?\nAnswer: -12721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:38 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 466, 948, 1448, 1972, 2526, 3116, 3748?\n\"Answer: g**3 + 3*g**2 + 466*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a + 13. Determine h(-3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(42\/(-4))*-6. Let q = 4 - o. Suppose 2*z + q*z = i - 8, 5*i + 4*z = -2. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 1. Let q(g) = 2*g**2 + 7*g - 6. Suppose -o = -0*b - 4*b - 221, -9 = 3*o. Let y = b + 55. What is y*q(t) + 6*k(t)?\nAnswer: -2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9893 - -9890. What is the second biggest value in -14, 1\/8, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -3*q + 5. Let t = -155 - -3567\/23. Which is the second biggest value? (a) -11 (b) -4\/9 (c) t (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (10 - (15 - 3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p - p**2 + 5*p**2)*(9*p - 3*p + 10*p).\nAnswer: 64*p**3 - 32*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1739*u - 5160*u + 1768*u - 10309*u.\nAnswer: -11962*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 - 8*z**2 - 10*z**2 + 2 in the form s*z**2 + v + c*z and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohdohzdiddddidxod. Give prob of sequence dii.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (23 + -2)\/((-9)\/(-204)). Suppose -7 = 4*n + 5*p - 10, 5 = 5*n + 5*p. Suppose 0 = 3*v + 10*u - 9*u - l, 324 = n*v + 2*u. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*z = 10, 2*l + l = -2*z + 9. Let u = 4 + l. Let f = u - 1. Solve 3*b = f*b + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a century in years?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - h - 7*h. Let o be c(-1). Suppose o*f = 3*f - 4*i - 38420, -5*f = -i + 47995. Round f to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/63086 and -40\/45453463?\nAnswer: 90906926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22013 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/7)\/1*(-1)\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-20)*-1 + (-2)\/(-1)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161390\/(-145251)*414\/(-5)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2096131 (base 12) to base 11\nAnswer: -3533a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 46\/5 of a tonne?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7161, 14318, 21475, 28632?\n\"Answer: 7157*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101111 (base 2) to base 14.\nAnswer: c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 21923 (c) -1164\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/7 + 7425511*f**2\/7 - 13784579392032*f\/7 + 13784527413504 = 0. Calculate f.\nAnswer: 7, 3712752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/47 - 43\/94. Let a = 3 - 6. Put 1, i, a in increasing order.\nAnswer: a, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z - 4*z - 3*z - 4*z + 4*z - 2*z - z - z + 4*z + (-2*z + 0*z + z)*(-5 + 5 + 4))*(2*z - 3*z - z) to s*z**2 + h*z + m and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -333*12\/(-153) + (-2)\/17. Solve -4*i - q = 24, 5 = 5*i - q + n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m - m)*(2*m + 4*m - 4*m)*(-155 - 241 + 522).\nAnswer: -504*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-115)\/115*(0 - -7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -100*q**3 - 5*q**2 + 5*q + 25. Let s be f(-4). Suppose -23*j + 0*j + s = 0. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.27 + 0.03. Let n = -47\/174 - -3\/29. Suppose -1 = -4*o + 3. What is the third smallest value in i, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -117*v**2. Let o(s) be the second derivative of -s**4\/12 - s + 3. Calculate a(o(t)).\nAnswer: -117*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 26*o + 103. Let r be w(-2). Solve 49*z + 4 = r*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l + 69544 = i, 4*l + 417258 = 6*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -162, -2, 2, 399 in ascending order.\nAnswer: -162, -2, 0, 2, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 - 28231*s - 21*s**2 + 28231*s. Let n(w) = w**2. Give x(n(b)).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1882.7 * 0.12.\nAnswer: 225.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.777 + -1.12. Let x = 0.013 + a. What is x rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -1)*-4*-4 + -5.\nAnswer: -21 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212, -224, -236, -248, -260, -272?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*a - 2 = 0. Which is smaller: -2\/9 or a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(15\/3) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 - 9*h**3 + 11*h**3 - 2*h - 3 + 5 in the form v*h**4 + f*h**3 + d + x*h**2 + c*h and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/((n**(2\/29)*n)\/n))\/n))\/((((n\/((n\/n**(-14))\/n))\/n*n)\/n)\/n)*(n\/(n**0*n))\/(n**13\/n*n) assuming n is positive.\nAnswer: n**(89\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -145*(12\/(-20))\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - n - 5 - n. Calculate the lowest common multiple of 14\/2 + 0 + 1 and h(15).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 416 and 130.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1584) - (sqrt(99)*2)\/sqrt(9))**2.\nAnswer: 20*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**4\/4 + 4*m**3\/3 + m**2\/2 + 3*m + 6. Suppose 3*i = 4*k + i + 12, k = -2*i - 3. Is f(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -302898247, -302898248, -302898249, -302898250?\n\"Answer: -z - 302898246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66 - -16?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15398, -15388, -15382, -15380, -15382, -15388?\n\"Answer: -2*m**2 + 16*m - 15412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/18*(0 - 132). What is the highest common factor of 924 and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83191811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 4:20 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 30080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5679.841 centuries in decades?\nAnswer: 56798.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 9*p**2 - 6*p - 11. Let k(q) be the second derivative of q**5\/20 - 5*q**4\/6 + 2*q**3 + 20*q**2 + 88*q. Let r be k(8). Determine b(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 853575132?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.15 + -22.2. Suppose 22 = 32*t - 54*t. Which is the closest to t? (a) -2 (b) 2 (c) n (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -1. Find the common denominator of (2\/(-24))\/(o\/140) and ((-12)\/(-8))\/(10\/(-12)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 143*z - 1 - 3 - 129*z - 2.\nAnswer: 14*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2852 (base 10) to base 9\nAnswer: 3818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105422462 (base 7) to base 11.\nAnswer: 3699a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22762.37813 rounded to the nearest integer?\nAnswer: -22762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 86*v + 4. Let l be m(3). Let n be (-16)\/(-152) - l\/(-38). Solve n*a = 2*a - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269079084 to the power of 1\/2, to the nearest integer?\nAnswer: 16404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -475136 divided by -928.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/10 + (-7)\/(28\/12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/(-22*1\/5)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47592781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.65 - 1.25. Let f = -0.14 - -1.04. Let t = f + x. Which is the nearest to -2? (a) t (b) 4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101752600 rounded to the nearest one hundred thousand?\nAnswer: 101800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**2 + 3*j + 1. Suppose -3*n + 6 = -5*n. Let u(v) be the first derivative of -5*v**3\/3 - 2*v**2 - v - 1. Give n*o(m) - 2*u(m).\nAnswer: -2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96619*v**3 + 10*v - 41682 wrt v?\nAnswer: -579714*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - u**2 - 2 + (-4*u + 3*u + 3*u)*(2 - 2 + 2*u) + 3*u - 3*u - u**2)*(-u + u - 2*u) + (-u + 2 - 2)*(-u**2 + 0*u**2 + 0*u**2) + 2*u**3 + 6*u**3 - u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 2:07 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + -66. Let f = -47 - m. What are the prime factors of f?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1747?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**4\/2 - 25*n. Let t(z) = 5*z. Let j(h) = h. Let r(w) = -22*j(w) + 4*t(w). Calculate r(s(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8575, -8527, -8479, -8431, -8383, -8335?\nAnswer: -8287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (961 - 1684 + 1050)*(3*o**3 + 0*o**3 - 5*o**3) + o**3 - 5*o**3 + 2*o**3 in the form u*o**2 + f*o + n + d*o**3 and give d.\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 434*l**3 + 653*l**3 - l.\nAnswer: 1087*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*g = 24. Let b be (g - -3 - (-3)\/1) + -2. Suppose -6*d = -b*d - 1578. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (8 + 10 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1597, 3227, 4863, 6499, 8129, 9747?\n\"Answer: -r**3 + 9*r**2 + 1610*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2 - 138*x - 140 = 0 for x.\nAnswer: -1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 - 16*w - 282. Determine m(17).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 9 = -16. Suppose 2*p - 2*i + 12 = 5*p, p - 4 = o*i. Suppose 0 = p*d - 6*d + 10. Put 0, d, -4 in ascending order.\nAnswer: -4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5 + 226*r**4 - 612*r**3 - 5440*r**2 + 17600*r = 0. Calculate r.\nAnswer: -5, 0, 4, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3000270 and 15645.\nAnswer: 447040230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00556 take away -269.079?\nAnswer: 269.07344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 52 + 10 = 0. Suppose -2*z + 5*r + 167 = 0, -7*z = -q*z + 5*r - 505. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 92*w**3 - 11*w**3 + 39*w**2 - 39*w**2 + 5*w - 2*w as x*w**2 + r*w + t*w**3 + o and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 8:34 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + 3 - (13 - (4 - -12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174\/77 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 2:36 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115021, -920651, -3107459, -7366033, -14386961, -24860831?\nAnswer: -39478231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -353 + 7061\/20. Let b(u) be the second derivative of 0 + 27\/2*u**2 + 9\/2*u**3 - 2*u + 3\/4*u**4 + m*u**5. Find z, given that b(z) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -14*b**3 - 11*b**2 + 2627*b - 8357. Let r(y) = 3*y**3 + 2*y**2 - 527*y + 1671. Let g(h) = -11*r(h) - 2*v(h). Differentiate g(a) wrt a.\nAnswer: -15*a**2 + 543","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2 + y - 6 + 6*y. Suppose 2*u + 9 = f + 4*f, 4*u + 4 = -4*f. Let z(r) be the first derivative of -r**2\/2 + r + 2. Determine f*j(h) + 6*z(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*q = 1030, -8*f - q - 200 = -9*f. Calculate the highest common factor of f and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -208536 (b) 2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 8) to base 6\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 141169, 141183, 141207, 141241, 141285, 141339?\n\"Answer: 5*z**2 - z + 141165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181884.0177 nanoseconds in weeks?\nAnswer: 0.00000000030073415625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d. Let l(y) be the second derivative of 0 + 7\/6*y**3 + y + 0*y**2. What is l(h(o))?\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/533616 and 93\/22?\nAnswer: 5869776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00558 rounded to four dps?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 0*p**2 - 3*p**2)*(8*p**2 + 4*p**3 - 8*p**2) + (3*p - 2 + 2)*(2*p**4 - 5 + 5).\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*q - 50*q + 12402. Let k = q + -472. Solve -2*p + 6 = -0, k*p - 9 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 9:09 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14823*t + 20 - 14823*t + 11*t**3 - 2*t**2.\nAnswer: 11*t**3 - 2*t**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180554 is divided by 148.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d**3 + 36*d**2 - 32*d + 8. Let i(b) = -17*b**3 + 74*b**2 - 60*b + 18. Let s(r) = 9*g(r) - 4*i(r). Factor s(u).\nAnswer: -4*u*(u - 4)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/481 and -80\/39039?\nAnswer: 1444443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 - 4*z**3 - 3*z**3 + 8*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 26.2.\nAnswer: -2.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -12842*w**2. Let n(d) = 2*d**2. Determine l(n(j)).\nAnswer: -51368*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -89*z**7\/70 - 29*z**4\/3 - z**3\/3 - 35*z**2 + 5. What is the second derivative of l(f) wrt f?\nAnswer: -3204*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/22)\/(-8 - (2 + -7)). Solve -8\/11*x**5 - t + 14\/11*x**3 + 0*x**4 - 6\/11*x + 2\/11*x**2 = 0 for x.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 5*r - 36 = 0. Suppose 8*m = r*m - 1760. Suppose -5*b + 1605 = -m. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 5*p**2 + 14)*(3*p**2 - p**2 - 8*p**2) + 2*p**4 - p**4 + 0*p**4.\nAnswer: -29*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*k - 480*k - 427*k - 379*k.\nAnswer: -1434*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 9. Let f be l(-7). Let y = f + 11. What is the highest common factor of 81 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6048 + -6050. Let n = 0.1 + -0.06. Which is the fourth biggest value? (a) h (b) n (c) -1\/3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5005 + 8466. Let m = 1072 + y. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83968248347 - -7.5.\nAnswer: 83968248354.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (6*(sqrt(343) + 3 + sqrt(343) + (2*sqrt(343) - sqrt(343) - sqrt(343)) - sqrt(343)*-3*-6)*3 + 5)**2.\nAnswer: -237888*sqrt(7) + 28453275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 13. Suppose 6 = 10*r - f*r. Suppose r*b = 8*b - 25. Solve -3*h + 4*t + t = -17, -b*h + 2*t = -3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 384, 1069, 2082, 3423, 5092?\nAnswer: 7089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -10110111111000000100111101?\nAnswer: -10110111111000000100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -43.071. Let h = -0.651 - p. Round h to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 28*m**3 + 35*m**3 - 72*m**3. Give f(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, -3, -82, -185, -306?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -o, -5*d - 4*o + 16 = -d. Let c(t) = 30*t - 9. Let a(s) = 3*s**2 - 1. Let r be a(1). What is the smallest common multiple of d and c(r)?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23596 and 5552?\nAnswer: 94384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 397 - 384. Solve 0 = w*s - 16*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.7+4\nAnswer: 25.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -0.4, 7, -6 in decreasing order.\nAnswer: 7, 1, -0.4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 3556 = -4*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - c + 6083, 2*s = -4*c - 684 + 3722. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413*n + 44*n - 1304 = 2352. Let h(p) = 2*p + 6. Let a be h(-4). Let f be (0\/(a + 3))\/1. Solve 2*v + 4*j = -f*j - n, 1 = -3*v + 5*j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.041657 + -781.\nAnswer: -782.041657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (108 + -3 + 2)\/(-14). Let b = -97\/7 + o. Let k = 753155 + -49708213\/66. Find the common denominator of k and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/19 (b) 2831 (c) -0.5 (d) -1 (e) 0.5 (f) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28006934544 less than -0.54?\nAnswer: 28006934543.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4*k + 1 + 20 - 2*k to s*k + h and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 2:26 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhjjhh. What is prob of sequence jjhh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-63)\/(-48))*(-4065)\/(-2710)?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 176065*m*t + 27*t + 1266 wrt m.\nAnswer: 176065*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -215 + 49. Let j = k + 165. Let o = -0.1 + -0.3. Which is bigger: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -11, -4, -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*(sqrt(700) + sqrt(28)))\/(sqrt(16)*3))**2 + -2.\nAnswer: 9 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 575 minutes before 12:22 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 792488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 61. Suppose -z - 58 = -l, -3*l + 2*z - 5*z + 156 = d. What are the prime factors of l?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35894*r = 35935*r - 164. Solve r*f + 6 = 2*q, 25 - 22 = -5*f + 4*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 2*y - 4*y)*(-2*y + 4*y - 5*y)*(-4*y - 3*y**2 + 4*y) to the form a*y**4 + w*y**2 + c*y**3 + l + j*y and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1596 + -1582. What is the smallest value in 0.2, 3\/5, z, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2400200 to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5199.43 + 5121.4249. Let i = 78 + l. Round i to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6564349*m**4 + 10526598 wrt m?\nAnswer: 26257396*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 4*p**2 + 53*p + 155. Let x be m(-3). Which is the closest to 2? (a) x (b) 0.5 (c) -16\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140204 (base 5) to base 11\nAnswer: -42a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.061?\nAnswer: 0.0244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -2*o - 8, 11 + 9 = -5*o - 3*w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -24 + 0*j - 1\/2*j**2. Let t(u) = 24*u**2. Calculate t(r(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -9\/11 (c) 4 (d) 3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2 (c) -0.0035 (d) 11775\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52848 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104565?\nAnswer: 3, 5, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 53*f = 81*f + 11*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14659.\nAnswer: 107, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 405069?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 9:08 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-12)*8\/(-60)*-5*1?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s + 4*s**2 - 5*s + 0*s + 5*s**2 + 967 - 10*s**2 as u*s**2 + x*s + h and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 + 60*w**2 + 259*w - 4. Give n(34).\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gid when three letters picked without replacement from iszdzgdsifsg.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 18}. What is prob of picking 4 j?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 117*a - 183. Let o be c(2). Solve -10*k - 41 = -o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6754*r + 89. Suppose -19*w = 29 + 9. Is s(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1584) - 3*(sqrt(1584) + -3)) + 1 + 5 + sqrt(1584)*2 + 5*(-2 + sqrt(1584)) + 4)**2.\nAnswer: 1560*sqrt(11) + 39769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3501, 3500, 3499, 3498?\nAnswer: 3497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**10*c)\/c**(-6))**(-3\/7) assuming c is positive.\nAnswer: c**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21615 + -21614. Put -22, z, 7, -4, 5 in increasing order.\nAnswer: -22, -4, z, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/(x\/((x\/x**(-6))\/x)*x*x)))\/x**(-2\/3))**(-3\/16)*(x*x**6*x*x**5)\/((x\/(x**0\/x))\/x*x)**(2\/11) assuming x is positive.\nAnswer: x**(1167\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 238465582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*6*28\/(-28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-2) + 5\/(-10). Determine n, given that 2 + 2*n**2 + 3*n + 0*n**h - n**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4910409709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - w + 1. Let s(x) = 3*x**3 + 3*x - 5. Let i(f) = -4*k(f) - s(f). Let l(v) = -7*v**3 - 6*v - 8. Determine -6*i(j) - l(j).\nAnswer: j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 7*m**2 + 4*m + 5. Let j be x(5). Let n = j + 27. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -17 + 14*s**2 + 22*s + 0*s**3 - 3*s**3 + 4*s**3 - 27*s. Is j(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3\/8 (c) -1 (d) 2 (e) 1456\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 969 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwzwzwzzwwzww. Give prob of sequence zz.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1760052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152102220 and 28842?\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 9*t + 14. Let h be r(9). Let b = 16 - h. Suppose 33 = 5*d + 8. Solve 2*y + 10 = -2*j, -b*y - 4*j = -3*y + d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577 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: Let 3*o**2 + 21600*o + 38880000 = 0. What is o?\nAnswer: -3600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*w**4 + 8129*w**3 + w**2 - 544279*w wrt w.\nAnswer: 48*w**2 + 48774*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 791\/5 or 158?\nAnswer: 791\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136 - 132. Suppose -x*z + 2*g + 54 = 0, -5*z = -4*g - 17 - 46. Calculate the greatest common divisor of 240 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -6*u - 6. Solve -17*w + u = -3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, -483, 3?\nAnswer: -483","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nng when three letters picked without replacement from {g: 1, q: 6, n: 8}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112320284.\nAnswer: 2, 1531, 18341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 146*f + 92 = -141*f, -f - 88 = -5*d. Solve 24*l + 67 = d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2 = j. Suppose -7*x = -j*x - 85. What is the remainder when 31 is divided by 13 - x - (-24)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*m - 22, g - 4*m = 479. Suppose 4*r + 4*k - g = -167, -2*r + 170 = -2*k. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, 7, 0, -5?\n\"Answer: r**2 - 12*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*m - 1 + 3*m - 3*m + m + (1 + 0 - 2)*(0*m - 2*m + 0*m) + m + 5*m - 3*m + 0*m - 4*m + 6*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28, -32, -46, -76, -128, -208?\n\"Answer: -l**3 + l**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36530, -16830, 2870, 22570, 42270, 61970?\nAnswer: 81670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/60)\/(6\/(-180)*423 - -14).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1348, 2678, 3970, 5224, 6440, 7618, 8758?\n\"Answer: -19*r**2 + 1387*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((-1 - 23) + 112 + -104).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 0 - (1 - 1). Suppose 5*u - 3 - 7 = h. Find the first derivative of t**u - 1 + 3 + 0 wrt t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90361 and 4796.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 1. Let t(s) = 3*s - 5. Let p(l) = -5*r(l) + t(l). Let c(y) = -12*y. Calculate p(c(i)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 448884 and 33.\nAnswer: 4937724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -740 + 706. Let k(y) = -122345*y + 270. Let w be k(t). What is w rounded to the nearest one hundred thousand?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -20.02. Let l = -1468 - -1467.98. Sort 1\/8, 0.5, r, l in ascending order.\nAnswer: l, r, 1\/8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 2:02 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85986*s**2 + 86025*s**2 - s + s.\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*a + 26174 = 412*a + 247*a + 2994 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-4)\/(-40)*-2). Let n(f) = -2*f - 5 + 5*f**2 + 4*f**2 + 0*f - 7*f**2. Let o be n(6). Calculate the highest common factor of o and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -360029\/6746394 - -14\/10641. What is the common denominator of k and -25\/22?\nAnswer: 6974","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45883415 and 2360.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 + 9*o - 2. Let v(y) = 3*y**3 + 17*y - 4. Let a = -25230 - -25235. Determine a*m(n) - 3*v(n).\nAnswer: n**3 - 6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -916375 and 2.4?\nAnswer: -2199300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 1)*(3 - 1 + 0) + 2 + 1 - 16)*(-2*j - 2*j + 3*j).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**4 - 860*n**3 + 24732*n**2 + 2556764*n - 2580640 = 0. Calculate n.\nAnswer: -40, 1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.06 + 1.6. Let j = -0.32 + g. Let l = j + -0.22. Put 1\/6, 4, l in ascending order.\nAnswer: l, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) + (-2)\/(-4). Let l = 32 + -37. Let r be 3\/1 - 1 - 6\/(-2). Sort r, k, l in descending order.\nAnswer: r, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 40 = -7*o. Suppose 0 = -o*k + y + 2221, 9*k + 3*y = 12*k - 1335. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2337747 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*d*p**3*z**3 + 6*d*p**2*z**2 + 2*d*p*z + 112*d*z**2 + 3*z**3 wrt p.\nAnswer: -126*d*p*z**3 + 12*d*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4699*m + 50423. What is u(-11)?\nAnswer: -1266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 - -83. Suppose 4*d - 83 - 301 = l. Calculate the greatest common factor of d and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1458 and -1.364.\nAnswer: -0.1988712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5785 is divided by 2630.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.5. Let x = -59 + 58.8. Let m = x - u. Put m, 0.2, 0.4 in decreasing order.\nAnswer: 0.4, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 10:45 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 9*y**2 + 8*y. Let b be p(8). Suppose -5*f = -b*f. Suppose -10*j + 16*j = -42. Put f, -1, j in increasing order.\nAnswer: j, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 - 78836*r - 3*r**2 + 4*r**4 + 78833*r + r**3 + (-2*r**2 + 0*r**2 + 0*r**2)*(-3 + 3 - 2*r**2) + r**4 - 2*r**4 - 2*r**4.\nAnswer: 8*r**4 + r**3 - 3*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3555801 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -83581*u - 2591034. Calculate z(-31).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-65 + 65 - 81*r)*(2 - 5 + 0).\nAnswer: 486*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (1 - 2)) + (1667 - 1651)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -23*n + 20. Determine s(-10).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (1 - 4) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9*c**2. Let a(o) = 5*o**2. Let x = -63 + 57. Let w(q) = -4*q**2. Let f(l) = x*w(l) - 5*a(l). Give f(t(d)).\nAnswer: -81*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -27, -44, -61, -72, -71, -52?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 7*a + 6459. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002246 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -18 + 0 + 5 + 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 2*m**2 - 8*m - 5. Let x be r(-5). Let v be 2\/6*(x - -3). Suppose 4*t - 9*w + 4*w = v, -w = -2*t + 43. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.33 - -17.67. Let t = 269.35953 + -287.3596. Let r = t + f. Round r to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - 0.33. Suppose -4*i + 3*m = -7*i - 9, -4*i + 4 = -4*m. Let c be (11 + i)*(-8)\/(-20). Put c, 3, t in increasing order.\nAnswer: t, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -582 - -1035. Suppose d = -487*h + 488*h. What are the prime factors of h?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q + 7. Let s be (4 + -2 + 0)\/(5\/1010). Let z = s + -406. What is g(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 272160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140398 is divided by 140379?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221112102 + 2000?\nAnswer: 221121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*t - 0*o - 18, 3*o - 10 = -4*t. Is 22 a factor of 18\/12 - (-230)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(605) - (sqrt(605) + 4 + -3)))**2 + (-1 + sqrt(605) + 5)**2 + 1*sqrt(605) + -4.\nAnswer: 99*sqrt(5) + 626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -249.\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 367941 = -14*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.98 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288972 and 209400?\nAnswer: 14448600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-56392)\/70 - (-2)\/(-5). Let d be ((-82)\/(-13))\/2 - (-124)\/n. Let u(x) = 6*x + d*x - 8*x - 2*x. Let o(j) = -16*j - 4. Determine o(u(a)).\nAnswer: 16*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10e71 + -f?\nAnswer: -10e80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 252 - (1 - (6 - 0)). Let o = v + -227. What is the least common multiple of o and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/(-47))\/(2\/36*-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 11*d**2 - 67*d + 158. Calculate j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80*m**4 + 1411*m**5 + 22*m**4 + 3703*m - 126*m**4 + 23*m**4 wrt m?\nAnswer: 28220*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 10*m + 11. Let f be j(6). Calculate the greatest common factor of 14 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170782 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 6, 5*t + 2*p + 20 = t. Suppose -f = 5*z + 24, 36 = -f - 2*f - 3*z. Calculate the lowest common multiple of 1 and t + 2 - 1 - f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 485*l**3 - 3*l**2 + l + 4. Let q be k(4). Round q to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100325, -200650, -300975, -401300, -501625, -601950?\nAnswer: -702275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.2, 4.6 in ascending order.\nAnswer: -0.1, 0.2, 4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.499178 rounded to three decimal places?\nAnswer: 2.499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 16. Suppose 5*n + 5*l - 353 + 3 = 0, v = 5*n + 2*l - 338. List the prime factors of n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 97, 4 in ascending order.\nAnswer: 1, 4, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -169, -1960, -6841, -16366, -32089, -55564?\n\"Answer: -259*k**3 + 9*k**2 - 5*k + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2 + y. Let a be q(-1). Suppose -2*r - 3*r - 2*l - a = 0, 5*l + 10 = 3*r. What is the first derivative of 2 - s**3 + 0 + r wrt s?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-5)*(-1)\/(-2). Suppose -4*w + 4*q = t, 5 = -4*q - 7. Let m = 12 + w. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3507, 101, -1, 13 in ascending order.\nAnswer: -3507, -1, 13, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11, -17, -23, -29, -35, -41?\n\"Answer: -6*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11850 divided by -75\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-14))\/(20\/2660*-95).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t. Suppose t = -l + 3288 + 512. Round l to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*h - 17 = 2*b, 0 = 4*h + 12. Let d be 8 + 1\/(1\/b). Calculate the greatest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3272041 and 35003.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*h + 11. Suppose -3*f + h*f = -4*z + 20, -4*z = -4*f - 40. Suppose 2*i - 3*k + 129 = z*i, -3*k + 63 = 2*i. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 14*q**2 + 6*q - 91. Let x be g(14). Let z(w) = 2*w**3 + 12*w**2 - 14*w - 6. Determine z(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 1:24 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 - 3*r - 3. Let k(v) = 17*v**2 + 13*v + 13. Let h(q) = 6*k(q) + 26*x(q). Let l(z) = 333*z + 340*z + 333*z + 335*z - 1338*z. Give h(l(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*u**3 + 8*u**3 + 33*u**3 + 5*u**2 - 5*u**2 + 28*u**3.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65291288 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkppabapwwtpwbwta. What is prob of picking 1 w and 1 a?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2426*p**2 + 4434*p**2 - 2318*p**2.\nAnswer: -310*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**14)\/v**(2\/41) assuming v is positive.\nAnswer: v**(613\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - 1100\/(-88)*2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00388880971 rounded to 6 decimal places?\nAnswer: 0.003889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - sqrt(2)) + 5)**2*-6 + (sqrt(288) + 1 + 2)**2.\nAnswer: -168*sqrt(2) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -888450 * -26.7.\nAnswer: 23721615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -33*f - 180. Let v be o(-6). Solve 23 = -v*g + 59 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.41 - 43923.6.\nAnswer: -43921.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h + 2*h**2 - 153*h**4 - 5*h + 150*h**4 - 2*h**3 in the form z + n*h**2 + k*h + a*h**3 + i*h**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 284130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 687649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14662?\nAnswer: 2, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 211.83 and -0.0118.\nAnswer: -2.499594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbllbbrllllrrllb. Give prob of picking 2 r.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*g**2 - 51*g**2 + 1 + 100*g**2 - 1.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 779913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11357 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + 7 - ((5 - (3 - -4)) + 0 - 2)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 2:28 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 11) in base 8?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 175535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17403 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 3*n - n)*(0 - 2 + 3) + 0 - 2*n + 0 - 155 + 155 - 135*n to the form x*n + v and give x.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 14*y**2 - 14*y - 14. Let r be v(-13). Let h = r + 1. Let o be 28\/6 - (-1)\/3. Solve -l = -t - 0*t + 8, 5*t + 2*l - o = h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 4*u - 10. Let h = 125 + -118. Let o be g(h). What is the third derivative of 0*f**2 - o*f**4 + 6*f**2 + 18*f**4 wrt f?\nAnswer: 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81594 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 108 = 5*h. Suppose 0 = 5*a - 4*y + 3, 4*y - 7 = a - 0. Calculate the greatest common divisor of h and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.890865 to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 103*x + 2547. What is t(-21)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 29796?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -3990, -0.5, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 12*s**4 - s**3 + s - 1 - 5*s + 2 as j*s + h*s**3 + n*s**2 + u + x*s**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**3 + 7. Let o(m) = -m. Calculate o(p(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s. Let g(m) = -4*m. Let w be 2 - -1 - (1 + (-2 - -1)). Let k(o) = w*p(o) - 5*g(o). Let v(y) = 3*y**2 - 4*y**2 + 9*y**2. Determine k(v(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -28 + (14 - (0 - -11))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*k + 5*k - 220*k + 2040 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2*g)**(-2\/7)\/(g**3*g**(-5)) assuming g is positive.\nAnswer: g**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7382999, -59063959, -199340849, -472511633, -922874275?\n\"Answer: -7382994*z**3 - z**2 + z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104.94 - 108.94. Let f(i) = 4*i - 14. Let o be f(4). What is the closest to o in w, -1, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = 3*f, -77*l + 15 = -74*l - 2*f. Let j(m) = -4*m + 6. Calculate j(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + (-36)\/(-8))*-6. Let a be 78\/14 + v\/(-77). Solve -2*k - 6 = 0, 2*w + 2*k - 16 = a*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/63)\/(4 - (-423)\/(-105)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i + 9187 = 18133 - 9236 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f63b8 + 129?\nAnswer: f64e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 + 32*p\/3 - 34.\nAnswer: 2*(p - 3)*(p + 51)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33914, 32961, 31998, 31019, 30018, 28989, 27926?\nAnswer: 26823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113 - 75 + 94)*(-23*f + 33 - 33).\nAnswer: -3036*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*l. Let r = -32.8 - -33. What is the third biggest value in r, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 - 5*q**2 - 2*q**3 - 2*q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12953499 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 2*p**2 - 2*p - 1. Let j be c(3). Find k, given that k**3 - 2*k**j + 3*k**3 - 5*k**3 + k**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -40*r - 282. Let f be m(-7). Let x be 8 - (-14139998 + f + 8). What is x rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 0 + 16 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/10, 0.1, -4, 2, -37?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 663 and 3849378?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -303674956.829 and -16?\nAnswer: 303674940.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 42*c - 1076. Let t(n) = 2*n. Calculate k(t(i)).\nAnswer: -4*i**2 - 84*i - 1076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3193*h**2 - 7*h**3 - 2236*h**2 + 6778*h**2 as z*h**3 + n*h + s*h**2 + a and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**4\/6 - p**3\/6 - p**2\/2 + 5*p\/6 - 1\/3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5 + 14*v**4 - 36*v**3 + 4*v**2 + 34*v - 18 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5 - 613*p**4 - 94239*p**3 - 88119*p**2 + 848232*p + 842724 = 0.\nAnswer: -306, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 r when three letters picked without replacement from grrxg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-24)*-4 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1805 and 190?\nAnswer: 3610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57 or 1391.8?\nAnswer: 1391.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.010065 - -41544?\nAnswer: 41576.010065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(99) + sqrt(99)*-2)*-1*1)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-18)*(-19 - (1 - -1)). Is ((-35)\/o + 3)*1042 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/949 and -85\/25112.\nAnswer: 326456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 19 = 2*a, 56 = -3*a + 1225*s - 1229*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4530500 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -104, -109, -116, -125?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26504 and 0.0619?\nAnswer: 26503.9381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + 8366407*f**2 - 2*f**3 - 4*f**3 - 8366407*f**2.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -46, -101, -158, -217, -278?\n\"Answer: -p**2 - 52*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -52996\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*m**3 - 120*m**3 + 40*m**3 + 44*m**3.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-9)\/(-12))\/((4 - 3)\/4) and 1479.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) + (-48)\/9. Let i be (10\/2)\/(6 + z). Suppose i*q - 53 = -2*t, -3*t - 6*q + 84 = -3*q. What is the highest common factor of t and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*q + 2 = -3, -c = 3*q - 17. Suppose -1410*f + 12 = -1406*f. Suppose -f*m = 12, 4*r + m + 24 - 100 = 0. Solve -10*u = -c*u - r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 212702.6 centimeters?\nAnswer: 2127026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 14*g + 2*c = -288, -3*g + 172 = -c. Solve -b = -15*b - g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3\/5 - 5060541*f**2 - 50605419*f\/5 - 25302711\/5 = 0. What is f?\nAnswer: -1, 8434237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 9*z + 63. Let u = z - 47. Suppose -8 = 4*g + u. Let m(t) = t**3 + 7*t**2 + 8*t + 9. What is m(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-14)\/(c\/(c*c**(5\/2)*c)*c)*c**(-2\/7)*c**17 assuming c is positive.\nAnswer: c**(73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 8*u + 15. Let w be k(6). Suppose -c + 1 - 50 = -4*a, 3*a - 120 = w*c. Which is smaller: -36 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 3*z + 14. Let d be h(-2). Calculate the remainder when 187 is divided by (d - 8)\/(-4)*61.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let z = 50 + -47. Let k(l) = -30*l - 3 + z. Give k(c(j)).\nAnswer: 30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*f - 48*f + 28*f - 33*f.\nAnswer: -167*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b268 (base 12) to base 3\nAnswer: 222120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -9 (c) 0.3 (d) -0.12 (e) 94\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13399428 a multiple of 388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**2 + 34274600*d + 73421762822500 = 0.\nAnswer: -4284325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 745794216?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -385 + 798. List the prime factors of p.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33121 rounded to 2 dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i = 5*p - 160, -8 = -2*i. Let v be 276\/14 - (-8)\/p. Is 102\/4*v\/15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**3 - 8*z**2 + 7*z - 10. Let t be p(5). Calculate the highest common divisor of t and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -64 - (-22 + 18)) + 72 + -61?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1171*w - 1615*w + 1852 + 812 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence homa when four letters picked without replacement from hahmoahhhhohohorah?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -610454502, -1220909004, -1831363506, -2441818008?\nAnswer: -3052272510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/(-24)*((-7)\/2 - -3). Let l be ((-2)\/5)\/(2\/8). Which is the nearest to p? (a) -0.1 (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/17)*c*c*c\/(c\/(c*c**(-20))))\/((c**(-6\/25)*c*c)\/((c*c*c*c**(-32))\/c)) assuming c is positive.\nAnswer: c**(-20773\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1648267 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.982594 + -29.9822. Let h = -3.1 - -19.1. Let f = h + p. What is f rounded to 5 dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**6\/24 - 3*g**5\/20 + 3*g**4\/16 - g**3\/12 + 10. Solve t(i) = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 359029599 from 183.\nAnswer: -359029416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1050213 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 1. Suppose -4*d - c = 1, r*d + 3*c + 12 = 3*d. Let q = 9 - d. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 559103?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57544519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 15*s. Let o(i) be the second derivative of -i**3\/3 + 9*i + 1. Determine z(o(h)).\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b = 12. Solve -b*f + 2*f = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1751*b**3 + 22762*b**2 - 26*b + 82. Give z(13).\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -3\/2293 (b) 0.06 (c) -2\/131 (d) -0.2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 i when four letters picked without replacement from {l: 2, q: 2, t: 5, m: 4, i: 4}?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = p - 5*z - 616, 3*p - 2*z = 264. What is the remainder when p is divided by (-93)\/(-4) - 4\/16?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -60. Factor -312*m**3 + 10*m + 6*m**a - 13*m**2 + 286*m**3 - 12 + 35*m**2.\nAnswer: 2*(m - 3)*(m - 1)**2*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 1261 = -m + 1235, -6*c + 2*m - 32 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15305 - -15302. Let z = 1.5 - -0.5. What is the nearest to -1 in -0.2, g, -2\/3, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -5d3?\nAnswer: 5d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybuvy. Give prob of picking 1 u and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3453690*k*r**3*t**2 + 32707*k*r*t + 30*k + 122*r**2*t**2 + 9*t**2 wrt r.\nAnswer: 20722140*k*r*t**2 + 244*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/1933 - 168211\/15464. Find the common denominator of -1\/17917 and l.\nAnswer: 143336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3*h**3 + 30*d**2*h**3 + 127*d*h**3 + d*h - 2*h**3 + 4 wrt d.\nAnswer: -12*d*h**3 + 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/(11*5\/(-15)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/2))**7\/(n**8\/(n*n**(-6)\/n)))\/(((n\/n**(-1\/4))\/n)**(1\/63)*(n**(-8)\/n)\/((n*n**(-8))\/n)) assuming n is positive.\nAnswer: n**(-2395\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1487083616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10390 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 3 - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3*h - 5*h)*(4*h**2 + h**2 - 4*h**2) + 1542*h**3 + 1475*h**3 - 77*h**2 - 2960*h**3.\nAnswer: 56*h**3 - 77*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let r(y) = -52*y**2 + 16*y. Let g(t) = -17*t**2 + 5*t. Let n(m) = -16*g(m) + 5*r(m). Determine h(n(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-3 + 1)\/(-14)). Let d be (11\/(-4))\/((-1)\/28). What is the highest common divisor of d and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.098655048 to 3 decimal places.\nAnswer: 0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437628061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 58, 175, 292, 409?\n\"Answer: 117*n - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -4868628425902?\nAnswer: 4868628425902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -312\/19567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1002*(90\/27)\/5. Let z = y - -1705. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -3*p**2\/2 - 46*p - 26. Let b be z(-17). Solve 4*x + 4 = -j + 2*x, 0 = -b*j + 2*x - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 211, 216, 225, 238?\n\"Answer: 2*w**2 - w + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -714.\nAnswer: 2\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29689 and 107428297.\nAnswer: 2699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 5 (c) -0.3 (d) -2\/5 (e) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -31*i - 12. Let j be t(-8). Let l = j - 124. Let d be ((-28)\/10)\/((-1)\/5). Calculate the greatest common divisor of l and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, -356\/3, -2, -4, -0.5, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*y**2 - 12*y**2 + 175*y**2 + 57 - 67.\nAnswer: 278*y**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592 is divided by 155.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -200220022022 (base 3) in base 13?\nAnswer: -100436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -15167\nAnswer: 4\/15167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(76))\/sqrt(4).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20606 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -1.265 and -2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k - 2 + 2 - 4 - 3. Let q be r(-9). Suppose 2*t - x - q = -5*x, x + 13 = 2*t. What is the smallest common multiple of 5 and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70579\/17832 + -1\/2972. Calculate the common denominator of 97\/48 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*c + 1874 = 0, 12*c = -4*w + 10*c + 7440. What is the greatest common divisor of w and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 3 (b) -2\/113 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from wxghggwxggtggxgwgg.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuo when three letters picked without replacement from ofhuuooooloouhouho?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - u - u = -4*u - 2*u + 37, -2*u + 12 = 6*l - 8*u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2243240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6260.\nAnswer: 2, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23, -110, -343, -794, -1535, -2638?\n\"Answer: -12*u**3 - u**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 91*y**5 - 456*y**4 - 10600*y**3\/7 + 12702*y**2\/7 - 4149*y\/7 + 54 = 0. Calculate y.\nAnswer: -3, 2\/13, 3\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 1. Let n be a(-1). Suppose n = -f - 5*f + 240. Calculate the highest common factor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**3\/3 - 3*s**2 - 67*s - 12135. Determine j(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56.1 + 47.1. What is the fourth smallest value in 0.5, 0, p, -30?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x - 79 = -269. Put 0, x, -3, 16 in decreasing order.\nAnswer: 16, 0, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -7*g + 12 - 31. Solve -29 = 2*b - 39, k + g*b = 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59\/(-9) - (27 + -32))*-9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 50321005 (base 6) to base 3\nAnswer: 2200102212012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.0246l to millilitres.\nAnswer: 19024.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566111762.\nAnswer: 2, 53, 347, 15391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48690?\nAnswer: 2, 3, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 2*f**2 - 4*f + 4. Let c(v) = -v**3 - v**2. Let h be c(0). Let x = 3 + h. What is the units digit of z(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s - 240 = 0. Suppose -2*p - s = -6*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -518*r**2 + 518. Let s(u) = 2*u**2 - 1. Let q(f) = c(f) + 518*s(f). Let o(d) = -2*d**2. Give o(q(v)).\nAnswer: -536648*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 326408 - -95592. Round z to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6760253 or 6760249?\nAnswer: 6760253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 1*(-7828 - 3). Let r = g - 2104. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6307 - -25?\nAnswer: -6262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, e: 10, q: 2, t: 3}. What is prob of sequence tutq?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 2*y**3\/3 + 52*y + 414. Suppose 4*g + m - 3 - 5 = 0, -3*g - 4*m = 7. Let b(c) = c - 3 + 0 + g. Calculate b(d(s)).\nAnswer: 2*s**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-108)\/(-4) + (1 - -1). Let a = -18 + t. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t**2 - 13 + 13)*(-10 - 10 + 6) to p*t**2 + w*t + q and give p.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from ryllyhg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 14*b - 13. Let t = 74 - 71. Suppose -3*k - t*l + 30 = -0*k, -5*k - 3*l + 54 = 0. Calculate the least common multiple of k and g(9).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = 4*a. Let v = -15 + 17. Suppose v*s - 4*l - 32 = 0, -3*s - 8 + 35 = l. What is the remainder when s is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -95396.919.\nAnswer: -190793.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -9, -2 in ascending order.\nAnswer: -9, -2, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**3)\/(c\/(c**(-1)*c)*c))**(1\/36) assuming c is positive.\nAnswer: c**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 31, 33?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((27 - 12) + -11 - -25) + -11.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1750, -1798, -1846, -1894, -1942?\n\"Answer: -48*y - 1702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 125303.04 rounded to the nearest ten?\nAnswer: 125300","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4650*g*w**2 - 4401*g*w + 15911975*g + 1 wrt w.\nAnswer: 9300*g*w - 4401*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/((-47235)\/(-2397))*1*-1?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21954 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 112727*m**3 - 3176900495*m**2 + 3176787769*m.\nAnswer: -m*(m - 56363)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 2:27 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4926 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.6142 to 2 decimal places.\nAnswer: 6.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -389.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -21*x - 32. Find the third derivative of 14 - 35*j**x + 24*j**6 - 10*j**2 + 8*j**2 wrt j.\nAnswer: -1320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 194 = -5*a. Let i = -50 + a. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*y = 231*y - 832036. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10119?\nAnswer: 3, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -276*i**3 - 11*i**2 + 10*i - 19. Is p(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -3*a**3 + a. Let o(v) be the first derivative of v**3 - 18507. What is p(o(g))?\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2 - 19 + 8)*(11*p + 4*p**2 - 11*p + (2 + 2*p - 2)*(108 + 24*p - 108)).\nAnswer: -104*p**3 - 468*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5191446 and 2808?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -142*s**2. Let j(l) = -2*l**2. Give x(j(a)).\nAnswer: -568*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**2 + 71*s + 825. Let y be l(-16). Is -1333 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-8 + 9 - 27)*(-13 - 10 + 17) + 1 + 1 + 0)*(1 - k - 5 + 3) to c*k + d and give d.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(88) + sqrt(88) + (-2*sqrt(88) - sqrt(88)) + sqrt(88)))\/(sqrt(648)*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18206607463 minus 0.1?\nAnswer: -18206607463.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391478499 is divided by 500?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 12*a**2 - 9*a + 10. Let j(r) = r**2 - r + 1. Calculate -18*j(t) + 2*n(t).\nAnswer: 2*t**3 + 6*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.130479956 rounded to 4 decimal places?\nAnswer: 0.1305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13782*b - b**2 - 13651*b - 24906*b - 3*b**2.\nAnswer: -4*b**2 - 24775*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 125522654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21117 + 4?\nAnswer: -21113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4907935 divided by -13?\nAnswer: -4907935\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*((-10)\/(-15) + 0). Let z be -3*f\/12*0. Solve -20 = 4*g + 4*i, 2*g = 3*i - z*i - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(((-2)\/2)\/((-55)\/110))*2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*o + 7, -z = -5*o - 5*z - 23. Suppose -2*a - 4*b = 16 - 2, 2*a - 26 = 4*b. Put -4, a, o, -1 in ascending order.\nAnswer: -4, o, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 879 divide 6831853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000152724 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/4 - -1 - (-3)\/(-2). Let f(y) = y**2 - 14*y + 25. Let v be f(5). Sort 3, -4, m, v in descending order.\nAnswer: 3, m, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = l - 54, -s + 35 = -4*l + 245. Does 39 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14, 2\/41, 0, -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -528\/3383?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 107683013 to the power of 1\/2, to the nearest integer?\nAnswer: 10377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15050336254 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 6807 + 2487 = 0. Let k = z - 214. Solve -3*g + 5 = k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1729044 is divided by 111?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 6*b - 25. Let z be a(-9). Let f be (-12)\/z*(-10)\/15. Let v(j) = -j**3 + j**2 + 5*j + 3. Determine v(f).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 7*l**4\/12 - l**3\/2 + 7*l**2\/2 - 2*l. Is m(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 51.32287 millilitres?\nAnswer: 0.05132287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 484 and 43318.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/12*(1 + -1). Let m be -1*(2 + k)*-1. Let t(h) = -2*h + 5*h + 4*h - m*h - 1. What is t(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -85, -53, 1, 77, 175?\n\"Answer: 11*h**2 - h - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3272*m = 3274*m - 5, -2*s + 3*m = 17. Put -48, s, 3, 9 in decreasing order.\nAnswer: 9, 3, s, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 658 - 3314 = 0. What is the tens digit of (-8)\/(-10) + o\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 1 + (1 - 4 + 2)*(3 + 3 - 5) + 2 - 1 - 2)*((2*g**2 - 2*g**2 - g**2)*(-12 + 35 + 7) - 23*g - 10*g**2 + 23*g).\nAnswer: -80*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 + 444?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106667\/392100 + -8\/3921. What is the common denominator of 87\/10 and o?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731470113 a multiple of 3971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3332249 + 3332230 + 10*v + 6770*v**3 + 27*v wrt v.\nAnswer: 40620*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1937*v**2 + 967*v**2 + 1 + 4*v + 962*v**2 + (-v**2 + v**2 - v**2)*(-1 + 4 - 4) to o*v**2 + d*v + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25516473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/6*20\/(-25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 - 217\/21. Let y be (-2)\/(-4)*(0\/6 - h). Solve 16 - 6 = y*r - 4*q, 2*q + 4 = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s**2 + s. Let k be t(-1). Let i = k + 10. What is the nearest to 2\/5 in i, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43734, -43730, -43724, -43716, -43706, -43694, -43680?\nAnswer: -43664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1025169999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -20 + 4. Let s be (-33)\/22*(-3)\/(18\/k). Let q(z) = -14*z**2 + 40*z**s - 15*z**2 - 9*z**2. Let j(m) = 26*m. Give q(j(g)).\nAnswer: 1352*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 1000 and 4.\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 484909262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 529, 942, 1353, 1762, 2169, 2574, 2977?\nAnswer: 3378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -3\/2, 1\/9, 6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1718452?\nAnswer: 2, 43, 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4362*m + 23424*m + 51108 - 51329 = 190399 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -129 or -126?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2267*z + 1491 wrt z.\nAnswer: 2267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 11*i**2 - 2*i - 13. Let n be y(-11). Let l = 16 - 26. Let s = l + n. Which is greater: s or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13116810?\nAnswer: 2, 3, 5, 7, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.356 + 5.384. What is o rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 5*y + 5, -4*g + 7*g - 4*y + 27 = 0. Suppose 0 = 3*l + 22 - 4. Let i be (3\/11)\/(l\/4). Which is the closest to 1? (a) 0.1 (b) g (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2970, 6030, 9030, 11970?\n\"Answer: -30*t**2 + 3150*t - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from ssssqsss?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3*3\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37030.27kg?\nAnswer: 37030270000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idufdidifcii. What is prob of sequence ifui?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -57*o - 464. What is k(-6)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370*h = -481*h. Suppose -84\/5*k**4 - 12\/5*k**3 + 0*k + 0*k**2 + h - 147\/5*k**5 = 0. What is k?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1573045*l*r + 436276*l wrt r.\nAnswer: 1573045*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-8)*6)\/(((175\/14)\/(-25))\/(-2))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 10. Let h(f) = f - 2524. Determine h(g) + w(g).\nAnswer: 2*g - 2534","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3807*a**3 + 3*a**2 + 4*a - 59. Let c(j) = 7614*j**3 - 7*j**2 - 8*j + 119. Let u(l) = -3*c(l) - 7*k(l). Find the second derivative of u(p) wrt p.\nAnswer: 22842*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 232 - 3?\nAnswer: 22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -88*j**2. Let v(m) be the first derivative of m**4\/6 + 10*m - 54. Let d(t) be the first derivative of v(t). What is d(r(o))?\nAnswer: 15488*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/2)*t**6)\/(t**(-1)\/t)**(-42))**21 assuming t is positive.\nAnswer: t**(-3297\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s\/s**(-12))*s**(-2\/19)\/s*s*s*s**(1\/3)*s*s*s*s*s\/s**(-3\/7)*s*s*s assuming s is positive.\nAnswer: s**(-1334\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80254079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = -28*l + 117. What is the highest common divisor of l and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 6. Let t be l(6). Suppose -5*h = -18 - 52. Let o = h + t. Calculate the least common multiple of 20 and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18910\/13 + 1455. Which is the fourth biggest value? (a) 5 (b) -0.5 (c) -2\/5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 3*f + 6*f)*(42*f**2 + 81 - 86 - 34*f**2)*(2*f + 3 - 3)*(-5 + 2 + 1).\nAnswer: -96*f**4 + 60*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 846.\nAnswer: 9306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7)\/(h\/(h\/(h*h**(-4)\/h))))**2\/(h**(3\/4)\/(h*h**(-4)))**15 assuming h is positive.\nAnswer: h**(-1335\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 451764?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/4 (b) 3\/2 (c) 338 (d) -0.2 (e) -4\/3 (f) -12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1233340*a + 30*a**2 + 1233340*a.\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 9:53 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 3*m - 4. Suppose 3*u - 27 = 2*s + 3*s, -4*s = -u + 23. What is the tens digit of p(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 378?\nAnswer: -5\/378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2948, -4067, -1812, 5503, 19564, 42057, 74668?\n\"Answer: 281*l**3 + l**2 - 3089*l - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/7 + 633*j\/7 - 9872\/7 = 0. What is j?\nAnswer: 16, 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 14\/5, -2\/7, 8\/7?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, r: 2, h: 3, v: 1}. What is prob of sequence vrv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*h - 1740 = -96*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -g + 5*f, -127 = 3*g + 5*f - 25. Let h = g - -86\/3. Which is bigger: h or 13\/4?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millisecond in microseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*j**3 - 61*j**2 - j**4 - 53*j**2 + 126*j**2 + 11*j**3 in the form k*j**4 + u + z*j + g*j**2 + f*j**3 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 3. Let s be z(7). Let f(u) = u + 5. Let y be f(6). Suppose -2*b = -5*j - 5*b + 18, 0 = -2*j - 5*b + y. Is j at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31625\/(-3450))\/(330\/(-45))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117711 (base 12) in base 16?\nAnswer: 4503d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/3 + 13\/(-22) and 3\/12*(-23010)\/20280.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*b**2 - 32*b**2 - 764*b**4 - 11*b**2 + (5*b**3 + 10*b - 10*b)*(4*b - 1 + 1) in the form v*b + g*b**3 + m + z*b**2 + r*b**4 and give r.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-12*2\/(-12))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 721.92994 greater than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + ((-472)\/72 - 6)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 1 - 1 + (0*j - 2*j + 3*j)*(-4 + 2 + 1) - 2*j + 3*j - 4*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {y: 2, n: 2, w: 4, q: 5, z: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*h**2 - 2*h - 86 + 66*h**2 + 174*h**2 + 138 - 114 wrt h.\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iidd when four letters picked without replacement from iddid.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 3 + 8\/(104\/169).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.05 or -124195?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4437000 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/2 (b) 22\/39 (c) -4\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 3, b: 3, e: 2, j: 4, w: 4}. Give prob of sequence bxx.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*b + 3*t, -4*b + 3*t = -32 - 3. Let g = -3 - -6. Solve -b + g = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 123386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*h)*(-10*h - 15*h + 8*h) + (-3*h - 2*h + 3*h)*(4*h + 30 - 30).\nAnswer: 26*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o**3 + o**2 + 170*o + 169. What is c(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/7, -2, -271?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 14*z**2 + 6*z. Let i be a(-12). Calculate the greatest common divisor of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95091872 a multiple of 1976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -6.97. Suppose 20 = -5*r + 2*q, 4*q + 4 = -r + 9*q. What is the nearest to n in -2, -1\/3, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-9) - (-11)\/3. Suppose -6*p - 97 = -4*z - 3*p, -t*z + 54 = 4*p. Suppose -z = -2*q + 22. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.89399, -0.09, 3\/4, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, -5, -13?\n\"Answer: -8*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 51906841.4 to the nearest 1000000.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4379 is divided by 981.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -75759, 1\/3, 0.5, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -2, -10, -20?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -966 + 742 + 4*f**3 + 224.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 4*c + c**3)*((-4 + 1 + 2)*(2 - 2 - 1) - 1 - 2 + 5)*(-2 - 4 + 5).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 u, and 1 v when three letters picked without replacement from imuvummummmmumvrm.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 872513, 872508, 872503, 872498, 872493?\nAnswer: 872488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((6*(-3 + sqrt(1584)*-3) - (sqrt(1584)*-1 + 0)*6) + 1)**2.\nAnswer: 4896*sqrt(11) + 228385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 10 + 181*q + 2 to the form v*q + o and give v.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**9\/x**(-9\/4))\/((x*x*x\/((x*x\/(x\/((x\/(x*x\/x**(-5)*x))\/x))*x)\/x)*x)\/x*x\/(x\/x**(-3))*x) assuming x is positive.\nAnswer: x**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1913 - -1922. Which is the nearest to 0? (a) 19 (b) -0.5 (c) s (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2598.12*-189.\nAnswer: -491044.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 19*r = 74, -319*s + 3*r = -318*s + 22 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*z + 1055 = 0, y - z = -0*z - 203. Is y <= -210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -9 + (-7 - -18) + -22\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwb when three letters picked without replacement from bbbqqqbqqbbbbqw?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -329510 divided by -6?\nAnswer: 164755\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*g - 144, -3*g - 3*d = -0*g - 87. Suppose -4 = -4*x + g. What is the greatest common divisor of 20 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4351 times 34?\nAnswer: -147934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from {k: 4, m: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1*(-2)\/(3 + -1) - 16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22526 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 + -28. Suppose 0 = 3*g - 46 - y. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, -17, -219 in increasing order.\nAnswer: -219, -17, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27598 at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2037 - 16*u**2 - 47*u + 1044 + 991 in the form n + o*u**2 + d*u and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((77\/56)\/11)\/((-81)\/3*24\/288).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2. Suppose -100 = -3*m - m. Let b(i) = i - 1. Let v(p) = -16 - 30*p + 6 + 35. Let k(j) = m*b(j) + v(j). Give d(k(r)).\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**4 - 13*j - 15*j - 3*j**3 + 3*j**2 + 24*j to the form o*j**4 + t*j**3 + y*j + b*j**2 + k and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12680 + -8676. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let l be (-3)\/(-3) + (-3)\/7. Suppose 14 = -5*p - 6. Which is the closest to -1\/3? (a) p (b) l (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d2759 (base 14) to base 12.\nAnswer: -424323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 12*l = -781. Suppose -q + l = -33. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-7 - (7 - 14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 - 202.8692.\nAnswer: -204.6692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -129\/2, -3.5, -4, -80, 50, -3?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llyllllllylyyl. What is prob of picking 1 y and 1 l?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 14 - 4. Let d(w) = 2 - 9 + 8*w + w**y + 20. Give d(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29, -69, -133, -221, -333?\n\"Answer: -12*t**2 - 4*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -2\/679?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 6*p**2 + 7*p - 6. Calculate i(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/36*-6*(-3)\/(-62)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.845 and 4.\nAnswer: 4.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 88*j. Let n be u(-1). Let g be -3 - 4\/n*74. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) 1\/2 (c) -1\/208 (d) -84\/5 (e) 5 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -5*l**4\/2 - l**3\/3 + l - 1. Let x be t(-1). Suppose -2*a = k, -x = -2*a + 3*a + 3*k. Solve f + a = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9841.\nAnswer: 13, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 + 8 - r**3 + 22*r**2 - 8.\nAnswer: -r**3 + 22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 12:33 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 1896?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 + -51. Suppose -69*q = -70*q + 5*b + 37, 0 = -b - 6. Calculate the highest common divisor of q and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1762 = -78*r + 1358. Solve 33*n - 23*n = r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -13*v - 19. Let u(k) = 20*k + 28. Let m(g) = -8*d(g) - 5*u(g). Let j(w) = w + 1. Let h(z) = -5*j(z) - m(z). What is the units digit of h(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*z**2 + 1 + (5*z - z + 3*z)*(3 - 3 + 2*z) as t*z + b + g*z**2 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 1831*m + 1828*m + 2, -3*h + 9 = 3*m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*a + 41 - 76 = 0, -3*y + 5*a + 89 = 0. What is p in 82\/7*p**2 - 78\/7*p**y + 0 + 22\/7*p**4 - 4*p + 2\/7*p**5 = 0?\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 40 - 0. Suppose 0 = -g*w - 368 + 1298. Suppose m - 7*m + w = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-14) - (-36)\/126. What is the closest to 1 in -1\/5, w, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1121 and 295.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 652 + -352. Let g = h - 154. List the prime factors of g.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 97 = -4*n, 5*n - 4*w - 97 = 25. Let a = -15 + n. Let c = 1875 - 1868. What is the remainder when a is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -231332?\nAnswer: -232000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1688216 divided by 5147\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 f, and 1 d when four letters picked without replacement from oofboyttddyoydd.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from xhxhhxhf?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20222*w**3 - 1253*w**3 + 16576*w**3.\nAnswer: 35545*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -258665, -516353, -774041, -1031729, -1289417, -1547105?\n\"Answer: -257688*n - 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 17*j**2. Let p(o) = 4*o - 5. Let c(w) = 5*w - 6. Let z(k) = 5*c(k) - 6*p(k). Calculate s(z(a)).\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*o + 4032 = 715*o for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 5. Let v be (2\/(-3))\/(3\/(-18)). Suppose 15*k = 16*k + v. Is k smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3611362 is divided by 225710.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 810505 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 - u - 1. Let q(v) = 4*v + 67. Let h be q(-17). Let g(a) = a**2. Determine h*y(o) + 4*g(o).\nAnswer: o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20085827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -235.18194 + -0.01806. Round y to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 5*c**2 + 41*c + 189. Let a be w(-7). Let d(s) = 3*s**2 + 5*s - 12. Let b(p) = 2*p**2 + 3*p - 8. Let r(y) = 8*b(y) - 5*d(y). What is r(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccucccccuccucucuccc?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 778.211?\nAnswer: -778.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c + 97*c - 283085 = 0. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -491*g - 3567. Calculate a(-8).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*c = 19, -22 = u - 0*u + 5*c. What is the second derivative of -6*f + 2*f - 3*f + 2*f**3 + 0*f**u wrt f?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-2))\/(6\/56). Let c = 16 - l. Suppose -2 = -2*d - 4*q + 24, -5*d = c*q - 57. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7466, 7504, 7542?\n\"Answer: 38*u + 7428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24570\/(-168))\/(51\/(-68)))\/(-3).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a meter in centimeters?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b**2 + 4*b + 7. Let s be q(-7). Suppose 0 = 4*y - s - 258. Find the common denominator of -71\/6 and y\/12 - (-8 + 11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*f + 181*f - 16*f + 25*f = 21021 for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1391348 and -145\/596292.\nAnswer: 4174044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -86168 + -875034331?\nAnswer: -875120499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 32 = 4 - 38 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 6*f - 4. Let v be k(-5). Suppose -59 = 26*q - 163. Solve q = -d - v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19364 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 89*j - 32*j + 4 - 32*j - 2 - 23*j. Let v(z) = 3*z + 14. Let f(s) = -s - 5. Let b(p) = 8*f(p) + 3*v(p). Determine -3*b(x) + 2*u(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + i - 10. Let p be (-3)\/(2*(-1)\/i). Solve -p*m + 7 = -5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 51 = -66. Let t = -23 - r. What is the highest common factor of t and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10666 at least 10671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-6 + -7) - 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3033636 divided by -1\nAnswer: 3033636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10823 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**5 - 5*l**5 + l**5)*(-8 + 6 + 8)*(0 - 5 + 2).\nAnswer: 18*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Let i be (-1)\/2 - (-18)\/4. Suppose i*m - 4 = t, 3*t = -3*m - r*t - 20. Which is the nearest to m? (a) -1\/5 (b) -4\/9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(77)*-1 - sqrt(77))\/sqrt(7) - -2*sqrt(121)\/(sqrt(44)\/sqrt(4))*-3.\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 78, 310, 696, 1236, 1930, 2778, 3780?\n\"Answer: 77*m**2 + m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.1 in 2\/3, 7, 1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**4 - 3*a**4 + a**4 + (0*a**3 - a**3 + 0*a**3)*(-a + 0*a - a).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2330, 2444, 2634, 2900, 3242, 3660?\nAnswer: 4154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 61, 60, 59, 58, 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 90684*b**2 + 272025*b.\nAnswer: 3*b*(b - 30225)*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*h**5 - h - 3*h**2 - 3\/2*h**4 - 13\/4*h**3 + 0.\nAnswer: -h*(h + 1)**2*(h + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/(j*(j*j**(-2\/3))\/j))**(4\/23)\/(((j**(2\/11)*j*j)\/j)\/(j\/((j*j\/(j*j**5))\/j)*j)*(j**(-1))**31) assuming j is positive.\nAnswer: j**(27769\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (13 - (3 + 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1128 = 355*j - 5367 - 2861 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 8810968.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 16 = -4*o - 0*o, 4*u = 0. Let r be o\/18 - ((-64)\/(-36) - -4). Let p(w) = -w - 13. What is p(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3\/10, 3, 0.1?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -35. Suppose d = 87 - 90. What are the prime factors of 11*n\/6 - d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*p - 0, -5*q = 3*p - 25. Let x be q\/8 + 15\/(-20). What is the nearest to 2 in -1, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + sqrt(1300)*2 + sqrt(468) + -1 + sqrt(468))**2 + 5.\nAnswer: -640*sqrt(13) + 13417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6018137693307 + 4.\nAnswer: -6018137693303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-10))\/((-5)\/825*(-567)\/126)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*12\/(-18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alxu when four letters picked without replacement from uvxlvxuvaulaa?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -13. Suppose p = -0*p + 55. What is the highest common divisor of p and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/5)\/(4 + 34\/(-10))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 4*v**2 + v**2)*(336 + 235 - 662).\nAnswer: 273*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 12:26 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28238 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - 0. Let a = 2.6 + -3. Let l = 2386 - 2385.5. Sort l, t, a in ascending order.\nAnswer: a, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1010010100110?\nAnswer: 1010010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 983\/356 - 1\/89. Which is smaller: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-321 - -288 - (1 - 3)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8015410 by -4007705.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 79*w**2 - 124 + 47*w**2 + 124. Let s(o) = -2*o. Determine s(a(j)).\nAnswer: -252*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11924100 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-6))\/((-8)\/16). Solve 0 = 4*m + m + 5*z - 5, 7 = -b*m + 2*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11*r - 4503. Let o(x) = -4*x - 1513. Calculate 17*o(a) - 6*y(a).\nAnswer: -2*a + 1297","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66994 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/65508 and 5\/24?\nAnswer: 131016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40864350?\nAnswer: 2, 3, 5, 89, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2459478 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {c: 2, b: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 5*h**2 + 9*h - 8. Let p be a(6). Suppose 0 = p*u - 4*u. Is u at most as big as 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-2))\/((-54)\/540*10\/(-4))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 530 + -527. Suppose -3*j + 4*j + 13 = 4*t, t + 4*j + 18 = 0. Suppose -3*g + 5*l = -26, -t*l + 1 = r*g + 3. Solve -n + g = n, 5*n = 2*h + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1539 - -4897. Let z = 1254 - a. What is z rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12021311 (base 5) to base 3\nAnswer: 12122000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 24.61\nAnswer: -24.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 147?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 557 + -417. Calculate the greatest common divisor of l and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.68*1.051\nAnswer: 0.71468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 102907, -2 in increasing order.\nAnswer: -2, 84, 102907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 21*u + 9. Determine t(-13).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 19 - i - 19. Let y be z(-4). Let x = 37 - 110\/3. Which is the second smallest value? (a) x (b) -0.04 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.4 and 0.03548.\nAnswer: -0.368992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**4 - 5*c**3 + 5. Let x(g) = g**3. Let p = 46 - 56. Let k(a) = p*x(a) - 2*r(a). What is the first derivative of k(v) wrt v?\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -70*q**3 - 3*q**2 + 22*q + 9. Let h(s) = -140*s**3 - 7*s**2 + 46*s + 21. Let n(c) = -6*h(c) + 14*m(c). What is the second derivative of n(r) wrt r?\nAnswer: -840*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 10*s + 2. Let f be x(10). Let d be f\/6*0\/7. Let q be (0\/3 - d)\/(-2). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 85128*u + 170272.\nAnswer: -4*(u - 2)*(u + 21284)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -20*a - 13*a + 34*a. Let z(k) be the third derivative of 0*k**3 + 0*k**4 + 0 + k**2 + 1\/30*k**5 + 0*k. Give t(z(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2917 and -899630545.\nAnswer: -899627628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, 12, 19, 24?\n\"Answer: -f**2 + 12*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o - 18 = 0. Find the first derivative of -p - o - 2*p + 10*p wrt p.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 11*b**3 - 63*b**2 - 17*b - 7. What is the hundreds digit of f(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**33)**24 assuming t is positive.\nAnswer: t**792","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*o**5 + 3*o**4 + 9*o**2 - 30*o + 253 wrt o.\nAnswer: -860*o**3 + 36*o**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((0 - 1)*-1) + 4. Suppose -a*x + 147 = -3*f, 2*x + 94 = 5*x + f. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 z when three letters picked without replacement from vxxxdxvjxdjjzx?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/53 in -2\/9, -4, -1\/4, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -155*o**2 - 2788*o + 12. Give g(-18).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 - 14*n + 591. Let c be b(-21). Let y = 12 + -8. Solve c*f - 5 = y*f - 5*p, -p + 27 = 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 150*c**3 + 4*c**2 + 5359*c + 1.\nAnswer: 900*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 + 890*g**2 + 1786*g - 1. Determine m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56 or 5922\/103?\nAnswer: 5922\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*s = 17, -5*x - 3*s = -x + 17. Let y(u) be the second derivative of 1\/2*u**3 - u**2 + 0 + 20*u. Determine y(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2236 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*o, -6*o - 2790 = -r - 9*o. What are the prime factors of r?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkvkvkkk. Give prob of picking 3 v.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1371\/8? (a) 1 (b) -0.03 (c) -1\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 25 = -5. Suppose 5*p = -5 - 5. Let c be (-1 + 6)*(-1 - p). Sort m, 2, c in increasing order.\nAnswer: m, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*z - 331*z**6 + 2*z**2 - 139*z**2 + 3*z - 55*z**2 wrt z?\nAnswer: -39720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 768060775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(-7 + (-47)\/(-6)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -696.94 + 697. Let z be (2 + 0)*1*4. Suppose -5*v + v + z = 0. Sort v, -0.1, k in decreasing order.\nAnswer: v, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(15\/20))\/5)\/((-18312)\/2180)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1344 and 10.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*q - 31 = 2*u, -u - q - 7 = 0. Let n = u + 14. Solve -2*m = -n*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3112121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-14)\/(v*v*((v*v**9*v*v)\/v)\/v)*(v*(v\/(v\/(v\/(v*(v*(v*v**2)\/v)\/v))))\/v)\/v*v*v**(-12) assuming v is positive.\nAnswer: v**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0305 * -0.024.\nAnswer: 0.000732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6301 - 306?\nAnswer: 5884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 44349687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753305743 a multiple of 1111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + 14 - (13 + (8 - 14)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344 (base 6) to base 12.\nAnswer: b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -4. Let o(m) = -m**2 + 4*m + 7. Calculate the remainder when 2 is divided by o(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12267504 (base 8) to base 3\nAnswer: -12002221220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 115565893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -687356 divided by -757?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110021021220 - 20?\nAnswer: -110021022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.1496.\nAnswer: -0.1496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -29. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 > -365\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1500669*i**4 + 6982865*i**2 + 2*i wrt i.\nAnswer: -36016056*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**2 + 917940*m + 917943 = 0.\nAnswer: -1, 305981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 9*x**2 + 19*x + 171. Let i be t(-9). Solve v - 2*q + 2 = i, 14*v + q = 19*v + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 1 - 25. Calculate the least common multiple of ((-3)\/15)\/(7\/(-35)) and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -45. Let p be 4\/f + 15228\/45. Suppose -p - 178 = 3*x. Round x to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7408 + -7400. Let z(p) = -2*p - 10. What is z(h)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12484 divided by -11.\nAnswer: -12484\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46288*c + 19319.\nAnswer: 46288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(70\/24)\/7?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 616196383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 4 + 17 + 22 + -47?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26b7ae (base 16) to base 4.\nAnswer: -21223132232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3094.22 + -3094. Which is the third biggest value? (a) 0.05 (b) f (c) 0.1 (d) -2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -24*z - 2*z**2 - 3 + 10*z + 5 + 17*z - 3. Let t(a) = -2*a**2 + 2*a - 2. Calculate -2*g(w) + 3*t(w).\nAnswer: -2*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 45 = -w + 5*x, -2*x - 10 = -w. What is the third derivative of 45*j**2 + 217*j**3 + 29*j**2 + 11*j**w + 19*j**2 + 31*j**2 wrt j?\nAnswer: 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257846 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = 18. Let l(p) = 2*p**2 - 5*p - 12. Is l(i) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 a when three letters picked without replacement from {a: 2, y: 1, w: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:07 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 3*l**2 - 3*l - 5. Suppose 0*t - 14 = -2*t. Let x(n) = -n**3 - n**2 - 4*n + 3*n**2 - 7 + 2*n**2. Determine t*h(d) - 5*x(d).\nAnswer: -2*d**3 + d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + 0*l**3 - 5*l**3)*(l**2 - 2*l**2 + 3*l**2) + (3 - 3 + 2*l)*(-2*l**4 + 4*l**4 + 0*l**4).\nAnswer: -14*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - 2 - -11)*((-37461)\/5)\/(-1).\nAnswer: 3, 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/277, -0.1, -3 in increasing order.\nAnswer: -3, -0.1, 2\/277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w - 4 + 4)*(-3*w + w + 7*w).\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 16, 65*m = 60*m - 5*q - 50 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9647806 divided by 14\nAnswer: 689129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*d - 9384 = -37524 for d.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 5976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.22. What is the third smallest value in u, 1, -1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - ((-779)\/(-195) + -4)*6)\/((-72)\/60)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4003552 + -204?\nAnswer: 4003345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24848, -24850, -24852, -24854, -24856?\n\"Answer: -2*w - 24846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 6:52 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/(-150)*(-63)\/24?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 5*a**2 + 9*a - 13. Give t(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/56 - (-2)\/(-4). Solve -6*j + 28 - 58 = a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.563 * 1.7\nAnswer: 0.9571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) - 303\/(-12). Suppose -65 = -5*z - a. Let j = z + -5. Solve -9 = -j*u, 0 = -7*c + 4*c - 2*u + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + 2*y + y + 0 + 0 - 4*y + (-8 + 2 + 2)*(-3*y + 2*y - y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -857417006, -1714834013, -2572251020, -3429668027, -4287085034, -5144502041?\n\"Answer: -857417007*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -28. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 8*m + 9*m)*(3 + 2*m - 3)*(-10 + 10 + 12*m + (-4*m + 3*m + 2*m)*(-2 - 2 + 0)).\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*u = -0*i + 49, 0 = -2*i - u + 35. Let x = -2 + i. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3783350508.\nAnswer: 2, 3, 7, 45039887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27022235*c**2*k + c*k + 7596*c + 2*k - 5 wrt c.\nAnswer: -54044470*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) -2\/79 (c) 8\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 9*b**2 - 8*b - 10. Let p be c(10). Let g = -9 + p. Suppose -5*o + 2*o = 0. Solve o = -2*q - g + 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*y = -594 - 142 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 324.6337 kilograms?\nAnswer: 0.3246337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/2, -2, 9.5, 0.44 in descending order.\nAnswer: 9.5, 1\/2, 0.44, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 335*u + 14746. Give h(-44).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30505552, 61011104, 91516656, 122022208?\n\"Answer: 30505552*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 355 - 355.202. Let d = -0.102 - a. Let m = -2 + 2.3. Sort m, d, -1\/7, -0.2 in descending order.\nAnswer: m, d, -1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -2*i**5\/15 + 13*i**2 + 2. Let n(m) = 4*m. Let k(q) = -5*q + 3*q - 3*q. Let c(g) = 2*k(g) + 3*n(g). Give o(c(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 + 16*p + 21. Let y be j(9). Sort 2\/7, -2, 1\/6, y in ascending order.\nAnswer: -2, 1\/6, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t - 10. Suppose t + 20 = -b. Let o = 34 + b. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211833100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -9453, 5, 1 in decreasing order.\nAnswer: 5, 1, 0, -1, -9453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -273 + 265.65. Let q = t - -7. Let v = q - -0.333. Round v to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from mfpaabapaqpqpm?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5 * 0.051.\nAnswer: 0.1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -647 - -651. Sort 3, m, -5, 5 in ascending order.\nAnswer: -5, 3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8405*l**2 + 4737*l**2 - 6164*l**2.\nAnswer: -9832*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -40, 0.14, -0.3, -0.6, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2199*k + 15*k**3 - 13*k**3 + 14314 + 2199*k.\nAnswer: 2*k**3 + 14314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0122979 microseconds to minutes.\nAnswer: 0.000000000204965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*p + 2*u, 0*u - 2 = -2*p - u. Suppose 3*z + 15439611 = -p*z. Let f = z - -2946537. What is f rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 0*d = -792. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768533531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*b*i**2 - b*i*y**3 + 29*b*i*y + 4*i**2*y**3 + 851*i*y**3 wrt b.\nAnswer: 18*i**2 - i*y**3 + 29*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -14. Let u be c\/12 + 20\/6. Suppose 0 = u*r - 28 + 4. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 5*a**2 + 4*a + 12. Let t be x(6). Let v(l) = l**2 - l + 4. Determine v(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 16029122*p**4\/9 - 470195128*p**3\/3 - 5896723864*p**2\/9 + 2777920*p\/3 - 2944\/9 = 0.\nAnswer: -4, 2\/2831, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1527229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30\/119 in -0.25, -3\/13, 7\/5, -0.5?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 967.58 and -69979.1374?\nAnswer: 70946.7174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -3589?\nAnswer: -3\/3589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**3 - 6*z**2 - 6*z - 4. Let n(v) = 18 + 13*v**2 + 9*v**3 + 19 - 28 + 13*v. Let m(o) = 7*d(o) + 3*n(o). Factor m(g).\nAnswer: -(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 167 + 9?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -7\/13 (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -6 (c) 2\/9 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-204)\/9*6\/8\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 28. Let l(z) = 3*z**3 + 2*z**m + 1 - 3*z - 6*z**3 - 5*z**2. Calculate l(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxxqxxxxxwxxwqqxxw. What is prob of sequence qw?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -724, 2, 0 in ascending order.\nAnswer: -724, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 12:29 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -270.052674956 + 0.053804956. Let l = u + 270. What is l rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10736, -10767, -10832, -10937, -11088?\n\"Answer: -x**3 - 11*x**2 + 9*x - 10733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 0*u - 4*u**3)*(u + u - u + (-4*u - u + u)*(0 + 5 - 3)) to the form w*u**3 + l*u**4 + h + v*u**2 + o*u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -551*h**3\/6 - 261*h**2 - 38*h - 1. Let t(q) = -2*q - 2. Let y(l) = -522*t(l) + 2*x(l). Let u(d) = -d**2. Determine y(u(w)).\nAnswer: 58*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -8*v + 74. Suppose -6*z + 12 = -3*z. Let r(g) = 3*g**2 + 9 - 2*g**2 - 11*g - 2*g + z*g. Calculate r(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (1 - -5 - (19 + -21)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 3996744.\nAnswer: 15986976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -143.55 + 216.6. Let n = -73 + h. Let a = -0.003 + 4.003. Which is greater: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-1) - (-6 + -8 - -6). Is (h\/6)\/((-19)\/(-4978)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36*(-155)\/(-496) - (5 + 6)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -11*o**2. Let j(l) be the second derivative of 7*l**3\/6 + 3*l - 1. Give j(h(y)).\nAnswer: -77*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 26.\nAnswer: 26.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3245483.\nAnswer: 31, 104693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9 = 1. Suppose -o*z + 164 = -5*t, z + 2*t = -0*z + 73. What is the units digit of 1323\/z + 4\/(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 20*n**2 + 21*n. Let y(q) = 4*q**2 + 4*q. Let v be (-56)\/308 - (96\/22)\/(-2). Calculate v*p(b) - 11*y(b).\nAnswer: -4*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddrn when four letters picked without replacement from ddqqqndqrrqnrdr.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 370288367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 48*c**5 + 5*c**3 + 6*c - 4. Let p(x) = -x**3 - x + 1. Let k(z) = -5*p(z) - u(z). What is the second derivative of k(n) wrt n?\nAnswer: -960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32827 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7841.\nAnswer: 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*l**32\/l*l))\/l**(1\/33))\/(l**(-6))**(5\/4) assuming l is positive.\nAnswer: l**(-1685\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1256, 7307, 17392, 31511, 49664?\nAnswer: 71851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 2 - (2 + -4). Suppose -m*i + 7*i - 40 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683506 < 8417534\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454*i = 471*i - 68. Sort 0, i, 3, 12, 8 in increasing order.\nAnswer: 0, 3, i, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 35 = -5*y, y + 4 - 1 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -15833*a + 4. Let j(n) = -5*n**2. What is x(j(m))?\nAnswer: 79165*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4589 + 2300 + 2289 + 19*s + 31*s - 9*s.\nAnswer: 41*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.056 times -365\nAnswer: -20.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 0*1\/2. Let s be 6\/(-25)*(-30)\/12. Do v and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -2*y**7\/105 + y**6\/6 - 2*y**5\/15 - 4*y**4\/3 + 6994*y**2. Find s, given that l(s) = 0.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldll when four letters picked without replacement from {d: 3, l: 9}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 31, 75, 137, 223, 339?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6845336 and 46206018?\nAnswer: 184824072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.6 + -15. Let x = w + 0.4. Let y = -2.3 - x. Sort 4, -1\/5, y in descending order.\nAnswer: 4, -1\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6 + (-11)\/(-3). Let q be (-1 + -3 - 3) + l. Let u = q + 41. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*c + 145*c - 73*c + 3 - 43*c - 3.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0. Let m = -0.1 - g. Let d = 5.3 - 5. Sort 4, m, d in descending order.\nAnswer: 4, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*b + 7. Suppose 0 = -61*f + 71*f - 20. Solve -f*j - m + b = 0, -j + 6*j - m = 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + 17. Suppose 0 = n - 4*f - 13, 3*n = -2*n - 4*f + 41. Suppose -5*g = -n*g + 300. Calculate the greatest common divisor of v and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2533.\nAnswer: 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w - 1. Let f(a) be the second derivative of -a**5\/120 + 29*a**3\/6 - a**2 + 198*a. Let n(h) be the second derivative of f(h). Give n(t(i)).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78866mg in grams?\nAnswer: 0.00078866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 11*c**2 - 2*c + 2. Let h be j(5). Suppose 3*s = -5*f + h, 212 = 2*f + 2*f + 2*s. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 9 - 9 + 3*d)*(-3 + 6 + 0)*(3 + 2*d - 3)*(-d + 5 - 5) to u*d + m*d**2 + l*d**3 + p and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17846383 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36262699 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y + 35*y - 328 = 0. What are the prime factors of y?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**2 - 2*j + 2. Let a(r) = 11*r**2 + 4*r - 4. Let b = -33 - -36. Determine b*a(v) + 7*z(v).\nAnswer: -2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, z: 1, q: 1, f: 2, v: 1, b: 1}. What is prob of sequence fq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*x + 3, 5*j + 17 = 27. Let y = -2.02 + 0.02. Which is the closest to -1? (a) 1 (b) x (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 7:06 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hht when three letters picked without replacement from thhhhhhtththhthh.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-840)\/100 - 4\/(-10). Let c be (85\/(-68))\/(2\/m). Is 44 - ((-1)\/c + 18\/(-10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*c = -15. Suppose -5 = l - c. Is 2780\/25 + (-2)\/l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-800)\/(-26))\/5 + 4\/(-26). Let x = i + -28. Let o be -1 - x\/(-2)*5\/(-5). Solve -o = 4*h - h + 5*k, 10 = -h + 5*k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-66)*-3 + 52 + (-74948)\/902.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 2703940*s + 148701575.\nAnswer: 5*(s + 55)*(s + 540733)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9214 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in 37, 1, 5?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 + m - 1. Let l be s(-2). Let f = -3 + 16. Calculate the highest common divisor of f and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31373541 (base 8) to base 15\nAnswer: -8beeca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 8:27 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 39 - 83 = 0. Factor 16*g - v*g**3 + 12*g + 15956 - 15980.\nAnswer: -4*(g - 2)*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*s**3 + 12915*s**2 + 2*s - 29906032 with respect to s.\nAnswer: -63*s**2 + 25830*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 2 - 11) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 3*z - 2. Let v be j(-2). Let d(h) = -2*h**2 - 2*h + 7. Let t be d(v). Let p = 30 + t. Calculate the remainder when 36 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = z - 1. Suppose 3*a - z = 3. Let h be (4\/a)\/((-3)\/18*2). Let r(f) = -11*f**2 - 3*f. Let y(l) = 5*l**2 + l. Calculate h*r(n) - 9*y(n).\nAnswer: -n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-2 - (5 + -3)). Let z = 23 - 35. Let v = -12.4 - z. Which is the third smallest value? (a) v (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 + 8 + 0 + 5. Suppose -13 + 5 = -l*v. Solve 5*o - 6*o = -v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 381816.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -7) + -5 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*u + 15 = 4*f + 41*u, 0 = 5*f + u - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -4, 10 in increasing order.\nAnswer: -4, 0, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 52*v. Let y(z) be the first derivative of 2*z**3 + 583. Give m(y(b)).\nAnswer: 312*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 55*x - 1193. Give s(19).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9*p**3 + 0*p - p**2 - 4*p**3 - 2*p - 1. Let r be k(-1). Let v = -1492 - -1497. Sort v, 2, r in decreasing order.\nAnswer: v, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 858 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -16\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*l**3*o**3 + 88*l**3*o**2 + 1757*l*o**6 + 5*l*o - 2*o**2 wrt o?\nAnswer: -354*l**3 + 210840*l*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -102781, -102768, -102743, -102706?\n\"Answer: 6*s**2 - 5*s - 102782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f. Let q(p) = -4182*p**2 - 3088*p. Give v(q(x)).\nAnswer: 16728*x**2 + 12352*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*sqrt(1452) + -5*(1*sqrt(3))**2*-5.\nAnswer: 77 + 132*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 723*j - 58. What are the prime factors of p(3)?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51669527*t**3 + 88687*t**2 - 144?\nAnswer: 310017162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1010958?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 2 + 22*n + 0*n - 5*n - 5*n.\nAnswer: 13*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, k: 2, s: 5}. What is prob of picking 1 k and 3 s?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 566 and 3548730289?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, p: 6, r: 6, b: 1}. What is prob of sequence bxpp?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(171)*4 + sqrt(171) + (sqrt(171) - sqrt(171)*3*5) + sqrt(171))\/((-4*-1*sqrt(45))\/(-4*sqrt(5)*-1)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 55?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9603 and -88649.\nAnswer: -851296347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**5\/60 - j**4\/24 - 2*j**3\/3 - 3*j**2. Let h(d) = -d**3 + 3*d**2 - 6*d + 4. Let l be h(2). What is the units digit of v(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uii when three letters picked without replacement from {s: 2, w: 9, l: 1, i: 4, u: 3}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, f: 3, c: 11}. What is prob of sequence cfb?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + -8. Let q = l + -1. Let w = q - -30. What is the third biggest value in 2\/9, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8380 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1 - -1) + -1)*4. Let l be -6*-2*(-1)\/z. Suppose -k = -0*k + 3. Put k, -4, l in decreasing order.\nAnswer: l, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 17563118320?\nAnswer: 17563118318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 8677 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l**2. Let t(j) = 2*j - 8. Let d be t(12). Let w(b) = -2 - 14*b**2 + d*b**2 + 2. What is w(q(y))?\nAnswer: 242*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -10. Let j(k) = 2*k**2 - 197*k - 3795. Let y be j(115). Solve y*m = z*m - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/2)\/(-3) + 49. Suppose -238 = i - 272. What is the greatest common divisor of i and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y - 284. Let o be n(41). What is the greatest common factor of o and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161 + 175. Suppose -y*w - 15 = -9*w. What is the nearest to 0 in 4\/7, w, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18277*h**2 + 14701.\nAnswer: -36554*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1735 - 1775) + (12 - 0)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -9. Let p(j) = -j**3 + 3*j**2 + 5*j. What is p(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17 and -1.17469.\nAnswer: 0.1996973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 30\/(-9) + 2. Let g be 1\/(-2)*1442\/35. Let q = g + 41\/2. Which is the second biggest value? (a) j (b) q (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/27 - (51 + 45815\/(-882))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 19 - 10 - 0, -3*n - 3*w - 9 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 - 1. Let k be 4\/(-3) - (-3)\/9. Let f be w(k). Suppose -n - 5*c = -0*c - 6, 3*n - 2*c = f. Does -1\/3 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224501 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 107009*s + 321030. Determine i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 632583 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 278188311 to the power of 1\/2, to the nearest integer?\nAnswer: 16679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 y, and 1 h when three letters picked without replacement from {h: 6, o: 3, y: 2, r: 1, u: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1495 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 138*s**2 - 969*s - 63. Calculate n(7).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218503405?\nAnswer: 5, 43700681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104242421 + 3?\nAnswer: -104242414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3291 and 171?\nAnswer: 187587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1656 is divided by 1579.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2704, 5254, 7804, 10354?\nAnswer: 12904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -3\/2 (c) -1 (d) 788 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167022 is divided by 584.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u + 140 = 6*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5*(4\/(-34) + (-448)\/(-1785))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + r = -4*r + 23, z = -2*r + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -944834*s**3 + 2*s**2 - 2*s**2 + 944839*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 423640 to the power of 1\/2, to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -8*i + 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -91\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*k = -121*k + 708 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60662*k - 191*k**3 + 60662*k.\nAnswer: -191*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/s**26)\/s*s)*s\/(s*s\/s**(-2\/57)))\/(s*s**(2\/17)\/s*s*s**(6\/7)*s*s) assuming s is positive.\nAnswer: s**(142376\/6783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**3 - 82820*j**2 + 82820*j**2 - 1210.\nAnswer: 5*j**3 - 1210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54507, -104344, -154181?\nAnswer: -204018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124938 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.481349 rounded to 3 dps?\nAnswer: -11.481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.625 - 5.225. Put -1\/2, l, -1, 3 in decreasing order.\nAnswer: l, 3, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from {u: 1, n: 1, h: 1, d: 1, o: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(((-4125)\/(-50))\/11)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 26 = -17. Solve -d*z + 3 = -0*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(1210)*2 + 2*sqrt(160))\/(3*sqrt(128)*-2))**2 + 3).\nAnswer: -951\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/91 and 40\/39.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.104 * -1.499.\nAnswer: 0.155896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 9*l - 17. Let w(m) = -2*m**2 + 22*m + 42. Let h(o) = 12*t(o) + 5*w(o). Let f be h(-7). Suppose f = z + 4*z. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -5, -2271 in decreasing order.\nAnswer: 5, -4, -5, -2271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11492 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/21 - 164\/(-14). Suppose 0 = p - 4*p - 4*a - 29, 0 = 2*p - a + 23. Let i = k + p. Are -2\/29 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000183039 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307658.\nAnswer: 2, 13, 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 81164843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33694 = -21*r + 4*r. Let f = 3619 - r. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r)\/r**(2\/5)*(r*r\/r**(-1))**(5\/8)*(r**(1\/2))**(2\/173)\/((r**(2\/11)\/r)\/r**(-1\/5)) assuming r is positive.\nAnswer: r**(312013\/76120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-106150)\/(-2123)*5\/((-100)\/(-6))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125430359 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -15*m**2 - 4*m - 9. Let h(i) = 1039*i**2. What is d(h(a))?\nAnswer: -16192815*a**4 - 4156*a**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68439964 to the nearest integer?\nAnswer: 8273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s)**(-5)\/(s\/((s*s**(2\/3))\/s))**46 assuming s is positive.\nAnswer: s**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4475309504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d - 1. Let n = 19 - 22. Determine c(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007098329062 rounded to four decimal places?\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 2*v - 2*v. Let a(b) = -230*b**2 - 5*b + 5. Let x(s) = 562*s**2 + 12*s - 12. Let w(k) = 12*a(k) + 5*x(k). What is w(g(m))?\nAnswer: 50*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 184, -0.4, 129, -13 in descending order.\nAnswer: 184, 129, -0.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, -0.6, -4\/3, 0.3 in ascending order.\nAnswer: -4\/3, -0.6, 1\/13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4855 and -3?\nAnswer: 4.4565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -0.225, -223, 2 in descending order.\nAnswer: 4, 2, -0.225, -4, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 220385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 25)\/((-14)\/(-28)). Suppose 0 = 4*r + 4*i - d, -65 = -5*r - 3*i + 4*i. Suppose 2*s - 25 - r = 0. What is the remainder when 37 is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 262 + 147 + 126.\nAnswer: 2*a**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1984.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 423.42 milligrams in nanograms?\nAnswer: 423420000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a - 4. Let g(n) = -2*n - 2 - 3*n + 7*n + 4. Let r(d) = -d**3 + 120*d**2 + d - 125. Let l be r(120). Determine l*g(h) - 2*u(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 16. Suppose -70 = -b*q + 5. Let z(c) = -c**2 + 17*c - 16. What is the remainder when z(12) is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.9 - 28. Let l = m - -1.148. Round l to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 + (-83 + 13 - -150)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*6\/(-2) - (18 - 16)*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, w: 1, c: 1, o: 4, q: 2, e: 2}. Give prob of picking 1 o and 1 q.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 6 = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -3*i**5\/10 + 13*i**4\/2 + 78*i**3 + 72*i**2 - 8823. Suppose o(l) = 0. Calculate l.\nAnswer: -6, -2\/3, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-6))\/((-2)\/4). Suppose l*s - 25 = 4*s. Let x(i) = -i**2 - i + 200. Let c be x(0). Calculate the highest common divisor of s and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -5470\/1791?\nAnswer: -5470\/1791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2432 (base 6) in base 7?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -10*z + 7*z + 200, -2*z - j = -132. Differentiate -z - 84 - 60 + 17 - 24 + 154*b with respect to b.\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -8. Let s = 8034 - 8034.9999. Let p = l + s. What is p rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (100\/6 - 10\/15) + 2. Let d be (-5)\/b + 8\/16. Put -1\/8, d, -5 in ascending order.\nAnswer: -5, -1\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**3*v**4 + 133*b**3*v**3 - 1107*b**3 + 2*b**2 wrt v?\nAnswer: 4*b**3*v**3 + 399*b**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*z - 65758 - 23736 = 1096*z for z.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p - 5*k + 1, 0 = -4*k - 16. Suppose 6*f - p*f - 19 = 0. Does 13 divide -6*(1 + f\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9051)\/6034)\/(57\/2)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-4 + (-3 - 2)) - (67 - 1).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5) + sqrt(20)) - sqrt(54)\/sqrt(2).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2511, -2586, -2659, -2730?\n\"Answer: c**2 - 78*c - 2434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-310))\/4*-113. Let n = y - 4\/31. Are 3\/2 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61696909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 45*d.\nAnswer: -5*d*(d - 3)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23e (base 16) to base 2.\nAnswer: -1000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggv when four letters picked without replacement from qvgggvgvqqg.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6618, 6792, 7100, 7548, 8142?\nAnswer: 8888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 9)\/(4\/(-7468)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p - 4. Let f(a) = 8*a + 17. What is 6*f(d) + 26*r(d)?\nAnswer: -4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, 74, 2 in decreasing order.\nAnswer: 74, 2, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4. Suppose -u + z*u = 0. Solve u = -w - 0 + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 - 59. Suppose 3*v - d = -v + 5*p, 5*v - 30 = p. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Suppose 0 + 4 = k*x. Suppose -a - x = -1. Let d(h) = -1. Let b(v) = 2*v**2 - 6. Give a*b(t) + 6*d(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**4\/7 - 45160*p**3\/7 - 253521658*p**2\/7 + 15910940956*p\/7 + 104582673456\/7 = 0.\nAnswer: -11321, -6, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 5:14 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**2 + 308*m - 1. Let j(s) = 4*s**2 - 224*s + 1. Let o(p) = -11*j(p) - 8*v(p). Let g(b) = 22*b**2 + 5*b. Determine g(o(i)).\nAnswer: 352*i**4 + 508*i**2 + 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 21*d**2 + 21*d + 35. Suppose -3*z + 25 = 5*h, 0 = -5*z + 1 - 26. Calculate the remainder when y(-20) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005065 to 7 decimal places.\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*c + 27 - 27)*(21 - 21 - 8*c**2 + (-c**2 - c**2 + c**2)*(-4 - 1 + 3)) as k*c + t*c**2 + o + y*c**3 and give y.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 divided by 17?\nAnswer: 65\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/25? (a) 0.5 (b) -2\/467 (c) -1 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47010 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, 2, 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2256107 = 7*b + 10*b - 11437144. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5159537 and 69367.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7395318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-18.841\nAnswer: 0.94205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + s. Suppose 4*j = -6 - 2. Let y be w(j). Solve q - 2*q - y = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, e: 1, u: 8, b: 1, m: 4}. Give prob of picking 2 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1186 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -222 + 107. Let q = -8 - -24. What is the remainder when (-20)\/25*x\/2 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -115, -4 in descending order.\nAnswer: -4, -11, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32.293 + -0.4.\nAnswer: -32.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(6)*-5*-3)**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = -30, -6924*i = -6919*i + 4*t + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, u: 2}. Give prob of sequence uzu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -35*w + 26. Let g be 12\/20 - (-104)\/10. Let u(k) = 7*k - 5. Let c(t) = g*u(t) + 2*l(t). Let x(f) = 64*f - 28. Give -28*c(a) + 3*x(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = 0. Solve t*z + z = -5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 1\/(1\/(-2)). Let j = 38 + -153. Let u = j + 116. Sort c, -7, u in decreasing order.\nAnswer: c, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.02 + -56970543.\nAnswer: -56970552.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3234, -12943, -29124, -51777, -80902, -116499, -158568?\nAnswer: -207109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2733 + 2732.5. Suppose 5*m + 2*w = 10, -4*m - 3*w + 15 = -0*w. Put t, 5, m in decreasing order.\nAnswer: 5, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 141 - 3. What is the remainder when 65 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -98110 or -98078?\nAnswer: -98078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 71*g**3 - 4*g**2 + 5*g - 3. Let r be t(1). Suppose -3*o + n + r - 13 = 0, -3*o = 3*n - 72. Calculate the least common multiple of o and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -924 = -28*k + 35*k. Let i = k + 152. Calculate the greatest common divisor of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/297 and -5\/977442.\nAnswer: 96766758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17075.7831 rounded to the nearest ten?\nAnswer: 17080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 31. Calculate the highest common factor of n and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(35\/2))**27*(w*w\/(w\/(w*w**(-4\/7))))\/(w*(w**(-1\/5)*w)\/w)*w**0\/(w**(-2\/5)\/w) assuming w is positive.\nAnswer: w**(-32933\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(432)*1 + 4)**2 + -1 - ((sqrt(210)*2 + sqrt(210))\/sqrt(10))\/((sqrt(63)*2)\/sqrt(9)).\nAnswer: 141*sqrt(3)\/2 + 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 7:23 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.98 - -0.88. What is the second biggest value in 4\/7, -2, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -409 + 411. Solve 3*o = -0*o - 12, d*o = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l**5\/9 - 2*l**4 + 8*l**3\/3 + 8*l**2\/9 = 0. What is l?\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1244 is divided by 202?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h + 17*h - 7*h - 2 + 0 + 0 - 3*h + (-1 - 3 + 6)*(h - 2*h + 0*h) - h - 2*h + 2*h + (-1 + h + 1)*(1 + 3 - 3) to the form r*h + u and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -5, 520, 1\/5 in descending order.\nAnswer: 520, 1\/5, 0.04, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**2 - 15*w - 31. Let o be 5 + -1 + -1 + 4. Let a(s) = s**2 + 5*s + 10. Let b(p) = o*a(p) + 2*c(p). What is b(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)*v)**(2\/17) assuming v is positive.\nAnswer: v**(6\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**3 - 34*y**2 - 249*y + 193. Give u(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.24 - -3.240000172. What is t rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45546310 to the nearest integer?\nAnswer: 6749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18700 and 829532?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 6. Let d(o) = o - 6. What is -4*d(g) + 3*j(g)?\nAnswer: -g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**6\/120 - l**5\/60 + l**4\/6 + 65*l**3\/6 + 61*l**2. Let a(s) be the first derivative of t(s). Determine a(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**(-2\/33)*o*o**(-3)*(o**(1\/7))**(1\/16) assuming o is positive.\nAnswer: o**(-191\/3696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*g - 4*g - 19*g - g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 14792*a - 29588.\nAnswer: (a - 2)*(a + 14794)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 373067.54 to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x - 11. Let f(s) = -11*s + 32. Let r(j) = -6*f(j) - 17*v(j). Let a(n) = -n - 1. Let c be a(4). Determine r(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -4, -0.2, -0.3, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**3 - 2*d**2 + 4*d - 3. Let v(s) = -s**3 + s. Let w(z) = -5*v(z) + y(z). What are the prime factors of w(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642773967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -2)*(-30)\/(-12). Suppose d*k = -0 - 15. Let v = -1 - k. Solve 0 = v*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, c: 17}. What is prob of picking 3 c?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9883\/9764?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 6:23 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52*(-32)\/312*(48\/(-120))\/((-2)\/3)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88 or -76078\/879?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -18. Let v(l) = 4*l**2 - 15*l**2 - 11*l**2 + h*l**2. Let o(q) = 2*q. Determine v(o(m)).\nAnswer: -68*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by -10229?\nAnswer: 69\/10229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6305616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 629.055mg to tonnes.\nAnswer: 0.000000629055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -1\/2, -4, -33?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -50 from 190371.\nAnswer: 190421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(98)*1 + sqrt(98) - sqrt(98)) + sqrt(98) - ((sqrt(98) + 0)*-6 + sqrt(98)))**2.\nAnswer: 392*sqrt(2) + 4818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2927652 and 6825?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 19692*a - 1438560.\nAnswer: 4*(a - 72)*(a + 4995)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c + 7. Let k(y) = -2*y - 3. Let b(z) = 5*k(z) + 2*m(z). What is b(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -0.996623.\nAnswer: -0.696623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 4*o + 248, 4*w + 3*o - 123 - 129 = 0. Suppose m + 4*q - 11 = q, -4*m - 5*q + 58 = 0. Calculate the remainder when w is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 433 divide 991038276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/6)\/(2 - 58\/28). Suppose -26 = -t*m - 6*m. Solve m + 8 = 4*u - 2*f, 3*u - 4 = 5*f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 88 = 4*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 12*t + 91. Let g be 18\/15 + t\/(-10). Solve -3*z + g = s - 6, -4*z = -s - 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.6. Suppose 139 = -3*s - 185. Let b be 1\/4 + 39\/s. What is the third smallest value in 1, b, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26546882.\nAnswer: 2, 13273441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q**3\/4 + 605*q**2\/2 - 3679*q\/4 + 1231\/2 = 0. What is q?\nAnswer: -1231\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaii when four letters picked without replacement from {l: 1, a: 13, i: 3}.\nAnswer: 39\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3 = -a - 4*a, 5*m + 9 = 2*a. Let h be (-5)\/(10\/(-6)) + a. Solve u - 5*i - 16 = -h*i, -3*i - 13 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*(-2*((-5 + (sqrt(637)*-1 - sqrt(637)) - sqrt(637) - sqrt(637)) + sqrt(637) + 2*sqrt(637) + 1) + 5))**2.\nAnswer: 13104*sqrt(13) + 97812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 19*h = -8. Solve h*r + 1 = -7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2) + (sqrt(162) - sqrt(2)) + sqrt(2))**2 + 5 + (-1 + sqrt(2))**2)*3.\nAnswer: -2376 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q - 2, 5*q - 1074 = -4*o. Let h = o + -55. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75556 + 142239. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 5*a = 3. Let b be (1 - (a - 2))\/2 + -2. Solve b = -v + 7 - 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*x + 14*x = 35*x - 420. Suppose s - 2 = 1. Suppose 0 = -2*u + s*c + 71, -4*u = 2*c + 5 - 107. What is the highest common divisor of u and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1057)\/(-77) + -14)*-11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from sssssrsssrrssrsrsr.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*h**2 - 390*h**2 + 470*h**2.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*d - 96 + 96 - 91*d)*((-4 + 3 + 2)*(-5*d**2 + 0*d**2 + 3*d**2) - d**2 + 1 - 1) in the form r*d**2 + w + s*d**3 + v*d and give s.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256 divided by -628?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141048 by -15672.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*i = -600, -2*n - 3*i = -5*i - 288. Let q = -43 + n. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157 - -156. Is -1\/73 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6149, 12327, 18553, 24851, 31245, 37759, 44417, 51243?\n\"Answer: 4*t**3 + 6150*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**14\/k**(2\/9)*((k*k**(3\/7))\/k)**(-45) assuming k is positive.\nAnswer: k**(-347\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (7 + -17 - -29)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {t: 1, o: 1, u: 2, w: 4, s: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6059065*r**4 + 28*r**3 + 10244*r**2 - 3145*r?\nAnswer: 145417560*r + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = h + 2*h + 15, -4*s - 5 = h. Suppose 2*c + n - 1756 = 3*n, 5*n + 5 = s. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231743 - 5.1?\nAnswer: -231748.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -380 divided by -17\nAnswer: 380\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (132\/(-198))\/((-16)\/(-6)). Which is bigger: g or -5\/14?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by (-1 - -2)\/(-7 + 320\/45).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.499 in 452, 22\/9, 2\/7, 0.04?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -0.8. Let p = 721\/3 - 2162\/9. What is the second smallest value in 4, 1, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8399396557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**5 + 10701*b**3 - 23146*b wrt b.\nAnswer: 40*b**3 + 64206*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 1)*(44671\/(-1395) + 32).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 + 15*x**2 - 63*x + 44. What is n(-11)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*(sqrt(7) - (sqrt(14)\/sqrt(2) + sqrt(7)))**2.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -739, -1480, -2215, -2938, -3643, -4324, -4975, -5590?\nAnswer: -6163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1344))\/(sqrt(56)\/(sqrt(8)*1)).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5*d = 35, -4*d = -2*d + 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(-1\/6)*i)\/i**4)\/(i**(1\/15)\/(i*i*i\/(i*i\/((i\/(i*i*i**(-6\/5)))\/i)*i*i)*i*i)))**(14\/9))**(-22) assuming i is positive.\nAnswer: i**(9394\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w + 2*t = -10, -5*w + 21 = -4*t. Let o = -14 + 18. Solve 4*b + w + 21 = -2*l, -28 = o*l + 4*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 0*h**5 + 0*h + 0 - 6*h**2 - 1\/60*h**6 + 0*h**4 + 0*h**3. Factor v(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.2187462 rounded to 3 dps?\nAnswer: -17.219","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/11)*g\/(g\/(g*g*g**(2\/5))))\/(g\/(g**7\/g)*g**(5\/3)) assuming g is positive.\nAnswer: g**(916\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - 35 - (0 + 1 + -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4 = -4*y. Let v be 4*y - (-3626)\/35. Let z = v + -100. Which is the nearest to z? (a) -1\/4 (b) -3\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptp when three letters picked without replacement from tpsspssps.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73.6 - -66. Let s = z + 1.6. Let g = 6 + s. Which is bigger: 1\/2 or g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7912 divided by 92.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k**2 - 48*k = 0. Calculate k.\nAnswer: 0, 48\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 o when two letters picked without replacement from {b: 2, d: 1, j: 2, o: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -26, -2, 0.5 in descending order.\nAnswer: 3, 0.5, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -444764, -1778982, -4002680, -7115858, -11118516, -16010654, -21792272?\n\"Answer: -444740*g**2 + 2*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1330 - 1317. Suppose 53 = 5*l - 37. Suppose 0 = -4*x + 78 + l. Calculate the remainder when x is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/444 and 133\/666.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 24.2369813\nAnswer: -96.9479252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11 - (3 + -1) - -9. Put -5, 2, i, -27 in decreasing order.\nAnswer: 2, i, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 1738 - 1732. Is u greater than -3\/2006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -121383 in descending order.\nAnswer: 0, -4, -121383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 10 = -5*q, -2*r = 2*q + 3*q + 4. Suppose q = -3*l + 4*l + 3*h + 11, 0 = 3*h - 9. Let w be (-3 - l\/8)*-2. Solve -b + 0 + w = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 126\/17005 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -523771 (base 12) to base 16\nAnswer: -13b685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + m + 8. Let c be i(-16). Suppose 130 = 2*g + 5*f - 20, -4*g + c = -3*f. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + (-17)\/((-51)\/(-24)). Put j, 6, -4 in descending order.\nAnswer: 6, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9175 and -17.\nAnswer: -9192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhy when three letters picked without replacement from bybbyvvbvhvv?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298477260?\nAnswer: 2, 3, 5, 47, 35281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1267 = -4*n + 125. Calculate the highest common factor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*o - 98 + 958, -860 = -2*o + g. Suppose -6*q + o = 160. Calculate the remainder when q is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 3*v + 5*v)*(5 + 2 - 3) + (-3 + 0 + 1)*(-2 + 2 + v) + (11*v + 9 - 9)*(-15 - 16 + 40).\nAnswer: 105*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*t + 806845 = -396095. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421948401.\nAnswer: 3, 7, 79, 107, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503 a factor of 13905756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265301223?\nAnswer: 3, 11, 8039431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**3 + 414*o - 8637?\nAnswer: -3*o**2 + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3376 (base 8) to base 7.\nAnswer: 5135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86614007.\nAnswer: 173, 379, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 6:16 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(48)\/sqrt(6) + -2.\nAnswer: -6 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 smaller than -2796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264318.\nAnswer: 2, 3, 44053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 - 1 - 5*a**4 + 10*a**4 + 5*a**4 in the form j*a + s*a**2 + v + z*a**3 + f*a**4 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 195164863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, f: 1, x: 5, t: 1}. Give prob of picking 1 f, 1 x, and 1 n.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 105\/(-12)*(-4)\/(-14)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 298, 299, 300, 301?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/23 + 648*b**4\/23 - 3172*b**3 + 3315816*b**2\/23 - 52367378*b\/23 = 0. Calculate b.\nAnswer: 0, 43, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179207698.\nAnswer: 2, 2539, 35291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50 in 68, 10\/3, -2, 0?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5271115591+-3.2\nAnswer: -5271115594.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -5. Let n be ((-8)\/3)\/((-4)\/b). Suppose n*w - 2*j - 20 = 0, -4*w + 2 + 12 = j. Solve w = 3*t - t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 31 = -68. Suppose -c*w + 11*w = 10. Solve 0 = -w*t + t - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -1.3, -7, -3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1892115 <= -1\/88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.36368007 times -0.4\nAnswer: -0.145472028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h + 43. Suppose 5*y - 3*y = 3*d + 36, 19 = y - 2*d. Suppose 0 = -4*c - y + h. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + sqrt(125) + (sqrt(125) - sqrt(125)*-1)*-2)**2 + -5 + 5.\nAnswer: -6900 + 900*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egotwag. What is prob of sequence og?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6745*a**3*x + 3*a**3 - 2*a**2 - 112*x - 1 wrt a?\nAnswer: -40470*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 31 - (2 + -4)\/2. Let q = m - -7. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 10. Let v(d) be the second derivative of 1\/20*d**5 + 0*d**2 + 1\/6*d**s + 0 + 0*d**4 - d. Find the second derivative of v(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-419)\/4 - 12\/(-16). Let x be 10\/(-45)*-9 + -53. Let l = x - v. What are the prime factors of l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 6 = 0, 3*d - 6 = -2*w + 4*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -95*a**2. Let z(k) = -14*k**2. Let h(s) = -3*w(s) + 20*z(s). Let o(b) = 12*b**2 - 9*b. Give o(h(t)).\nAnswer: 300*t**4 - 45*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -297 divided by -33.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -37795 divided by -9?\nAnswer: 37795\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 - 4*l**2 + 3*l**2 + (-2*l + 1 - 1)*(5*l - 4*l + 0*l) + 3*l**2 - l**2 - 4*l**2 + 165*l**2 + 40*l**2 + 56*l**2.\nAnswer: 259*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 6*k - 6. Let m be w(3). Suppose -260 = -4*c + 3*h, 0*c + m*h = -c + 65. Suppose -95 = -5*f - 2*u + 3*u, 3*f + u - c = 0. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)\/sqrt(2))\/sqrt(5) - (sqrt(25)\/sqrt(5) + 0))**2 + (sqrt(605) - (5 + sqrt(605) + sqrt(605)*-5 + sqrt(605))**2)*5.\nAnswer: -27350 + 1705*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9 + 13 + 5*j - 4*j. What is k(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 q, 1 x, and 1 g when four letters picked without replacement from {i: 1, v: 1, h: 1, q: 1, g: 1, x: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 221011\nAnswer: -9\/221011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 338\/3 + -337\/3. Let x = -5575 + 16726\/3. Find i, given that -x*i**3 + 0*i + 0 + q*i**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192 - 189. Suppose 0 = -j - 2*d - 1 + 29, 0 = -i*j - 5*d + 81. Calculate the remainder when 62 is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13173 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p - 8. Let i be g(-4). Let a(f) be the third derivative of -f**4\/24 - 2*f**3\/3 + 2*f**2. Let h be a(-7). Solve i = h*m - 0*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 2*d**2 - 3*d - 9. Let x(c) = -2*c**3 + 2*c**2 - 3*c - 8. Calculate 3*q(y) - 2*x(y).\nAnswer: y**3 + 2*y**2 - 3*y - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 59155471420 and -2.\nAnswer: 59155471418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h + 9 = 0. Suppose -o - 5*f = o - 151, -20 = -4*f. Calculate the highest common divisor of o and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + 0.2. Let c be ((-4)\/(-21))\/((-4)\/6). Let m = 16271.1 - 16271. What is the closest to c in n, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 + 54*i + 9. Let r be c(-18). Solve 2*t + z = 10, r*z + 5 = t + 6*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*w**2 - 1 + 197*w - 2 - 200*w + 121*w**2 - 36*w**2 in the form m*w**2 + p + h*w and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 161 = 161. Suppose 0*d = 3*u + 2*d - 8, d - 4 = 5*u. Solve -3*b + u*q - 3 = -2*q, i = 3*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 123\/18 - (-8)\/48. Suppose 36 = 4*z - 20. Calculate the greatest common divisor of z and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 5:41 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s**3 + 7*s**2 + 4*s + 2. Let q(z) = z**3 + z**2 - 2. Calculate 4*q(a) - t(a).\nAnswer: -3*a**3 - 3*a**2 - 4*a - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-42)\/o*o**(-4\/35)*o*o**2\/(o*o\/(o\/(o\/(o\/(o\/(o\/o**(3\/20)*o)*o))))) assuming o is positive.\nAnswer: o**(-5637\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709862 is divided by 47324.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 z when three letters picked without replacement from {g: 7, z: 2, i: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 13 + -14 + 1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(832) - ((sqrt(832) - -1*sqrt(832)) + sqrt(832))*5 - sqrt(832)))\/(-2*(sqrt(196) + 2*2*sqrt(196))).\nAnswer: -6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46242956 - -50413078.6. Let l = q - 4170117.99999525. Let m = -4.6 + l. What is m rounded to seven dps?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 f when four letters picked without replacement from {j: 3, l: 5, s: 2, i: 3, f: 3}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -13. Let d(b) = b**2 - 5*b - 8. Let g be d(t). Let w(q) = -q**3 + 7*q**2 - 8*q + 6. Give w(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7972\/13951 - 221\/7\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.400091 - -11.4. What is p rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -119, -237, -357, -479, -603?\n\"Answer: -m**2 - 115*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 2:22 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/3)*(((d**(-7)*d)\/d)\/d)\/d*(d\/((d**(-2\/5)\/d)\/d))**37 assuming d is positive.\nAnswer: d**(1757\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 436338 divided by -2?\nAnswer: -218169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4261691*a**3*o + a**3 + 2*a**2 - 2*a + 38233011*o wrt a?\nAnswer: 25570146*a*o + 6*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = d + 2*u + 2*u, d - 30 = -5*u. Solve d*q + 16 = 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*p + 502 + 30. What is the remainder when p is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 10243?\nAnswer: -10241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.74771 rounded to one decimal place?\nAnswer: -72.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(17)*-1)**2*-2*-2 - (4 + ((-1*sqrt(17) - sqrt(17))*3)**2*4).\nAnswer: -2180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44*w**3 + 11*w**3 + 18*w**3 + 8 + (2*w + 2*w - 5*w)*(-w**2 + 4 - 4))*(-2 + 1 - 6) to the form v + i*w**2 + q*w + m*w**3 and give m.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52974 = 106*w - 746*w - 1322*w for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3\/3 - 544388*b**2\/3 + 1633202*b\/3 + 5443940\/3 = 0.\nAnswer: -272197, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22323 (base 4) to base 5\nAnswer: 10244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -339, -677, -1019, -1371, -1739, -2129?\n\"Answer: -c**3 + 4*c**2 - 343*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (-511 + 522)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -2*t - t. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15209 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-2 + 1) + 3. Let b be 2\/4*-2 + w. Let f(q) = -q**2 - q + 72. Let j be f(b). Calculate the highest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 times -14.4\nAnswer: 1598.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -16*u - 6. Let w(g) = -5*g - 2. Let q(s) = -3*o(s) + 8*w(s). Is 6 a factor of q(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90\/109 - 161\/327. Which is the second smallest value? (a) -2\/31 (b) 7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -2*u**3\/3 - u**2 + 12*u + 1. Let n(l) = 2*l**2 + 2*l - 12. Let h(o) = 4*n(o) + 3*q(o). Factor h(a).\nAnswer: 2*(a - 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 67.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-16) + 0 + (-238)\/(-119)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/7)\/(232\/(-2436)))\/(153\/(-340))\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2118817381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-6*2)\/3. Let j(b) = -b**2 + b. Let h(d) = -d**3 - 2*d**2 + d - 6. Let i(m) = h(m) + 2*j(m). What is i(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 14 (b) 2\/5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**3 + 450826*p**2 + 4959219*p - 5410044 = 0?\nAnswer: -12, 1, 450837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4494*z**4 + 4496*z**4 + z**2 - 24 + 2*z**3 - 8989*z**4 - z as w*z**3 + g + j*z**2 + r*z + b*z**4 and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1806452.\nAnswer: 2, 53, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/1512 - (-273)\/(-7371)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 534, 536, 538, 540, 542?\n\"Answer: 2*k + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 522 + -37. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 2532*w + 110168.\nAnswer: 4*(w - 586)*(w - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -19*g**2. Let i(p) = 5610*p**2 - 2002*p**2 - 2032*p**2 - 1958*p**2. Determine i(v(q)).\nAnswer: -137902*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12285577 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -14, -34, -64?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 = 0, 9*a - 6*a - 42 = -f. What is the highest common factor of 36 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -2. Let r = -764.9 + 765. What is the closest to r in -8, -0.5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - a. Let w(m) = 3*m**3 + 24*m + 24. Let i be w(-1). What is b(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**12)\/l)**(-5\/14))**(2\/27) assuming l is positive.\nAnswer: l**(20\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 6*s + 1, 0 = -y - 4*s + 57402. Suppose 9*v = 31*v - y. What is v rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from wyywwwwyyyywwywwhw.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 73*m**6\/120 - m**5\/60 - 247*m**4\/24 + m**3\/6 - 2*m**2 - 657. Find the second derivative of g(l) wrt l.\nAnswer: 438*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-49)\/7)\/7 + -524. Let m = -485 - g. What is the highest common factor of m and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2404721 = -3*c + 4*c - o - 2404711, 60 = 7*c + 6*o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utw when three letters picked without replacement from {u: 6, w: 5, t: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 23\/8937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 8*p - 90 = 0. What is the remainder when p is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 425*y**2 + 51. Let u(d) = 17*d**2 + 2. Calculate 102*u(a) - 4*x(a).\nAnswer: 34*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 12*t - 28. Let c be i(14). Solve -16 = -c*f - 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 107, 118, 133, 152, 175?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + 2*q = 4, t = 3*t + 4*q + 123 + 125 - 378 + 122 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 109886957.\nAnswer: -87909565.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -554 - -551. Let l(v) be the third derivative of -v**5\/60 - 5*v**4\/24 + v**3\/2 + 6*v**2. Determine l(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4 = 5*m, 4*f + 7*m - m + 1 = m - 3*m - m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + (-2 - -5) - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f = -3. Let h = 11 - f. Solve 3*u + 2*t + 1 = 0, 4*u - h = t - 6*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74723, 74784, 74827, 74858, 74883, 74908, 74939?\nAnswer: 74982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (9\/18)\/(5\/(-70))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 21 + 11 + 3876*r.\nAnswer: 3876*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4880 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -661 - -661.027. Let d = a - 0.127. Is -0.0253 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 721500274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-1))\/(2\/(-72)). Let g(x) = -6*x - 63. Does 22 divide g(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*((-10)\/(-3) + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000103103 (base 4) to base 15.\nAnswer: 53089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.57 * 0.08828.\nAnswer: -0.2268796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**2 + 1. Let c(t) = -2*t + 15. Let s = -11 + 18. Let d be c(s). What is f(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/14 and 89\/46322586?\nAnswer: 324258102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8406840 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -427 and 149.7?\nAnswer: -63921.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -273 + 315. Calculate the remainder when t is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(6\/13)\/k)**(1\/59)\/(k*k**(-7\/2)\/k*k*k**(3\/4)))**15 assuming k is positive.\nAnswer: k**(80115\/3068)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 1326.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.47 + -20. Let g = 0.25 - r. Let a = 0.2199974 + g. What is a rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + (-20 - -24) - 8) + 33 + (-1 - 2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 5*j**4 + 105*j**3 - 515*j**2 - 285*j + 2250 = 0?\nAnswer: -25, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 40748003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39486\/5 at least as big as 7897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-17 - 14) - (-1 + -11 + -1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2000 and 3568000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1146*f - 448. What is the tens digit of i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 10. Suppose -6*b + 44 - t = 0. Solve -3*z + 4*z + b = l, -4*l - 4 = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 521835 and 82395?\nAnswer: 1565505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c + 12*c - 11*c + 2*c in the form i*c + u and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (42 - 72 - -29).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9198)\/22776 + (-1)\/(-4). What is the second biggest value in y, 1\/2, 6\/7, -4, 0.18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 8. What is the units digit of 2*(3 + m\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a kilometer in meters?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**3 + 5*g**2 - 7*g - 6. Let p be i(7). Let s be (-2)\/(-3)*p\/(-4). Suppose -l + 45 = 4*t, 0 = 5*l - l - t - s. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 8:25 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -406 - 3c21?\nAnswer: -4327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 204.5 + -205. What is the closest to 0.06 in -2, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 15 = 31. Suppose -n*y - 22 - 18 = -2*i, 4*i + 2*y = 60. Let z = 5 + 4. Calculate the remainder when i is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2762289 and 18672?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90209707.\nAnswer: 7, 12887101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6950 - 3439?\nAnswer: 3511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -61180 divided by 665\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12872*d**2*p**2 + 8*d**2*p - 653*d**2 + 3*d*p**2 + 917 wrt p.\nAnswer: 25744*d**2*p + 8*d**2 + 6*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 18364.2 to the nearest 100.\nAnswer: 18400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -34*s**2 - 9. Let i(g) = -5*g**2 - 2. Calculate -11*i(u) + 2*y(u).\nAnswer: -13*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 42\/(-30))\/(4\/10*-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + w + 153280 + 22958 = 0, -5*g + 4*w + 293730 = 0. Suppose -8*x + g = -2*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3477*m - 3554*m = 462 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-4\/7)\/i*i**(1\/3)*(i\/(i*i*i*i\/((i**(-1\/3)*i*i*i)\/i)*i*i*i))**(4\/5) assuming i is positive.\nAnswer: i**(-389\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/6)\/(6\/9). Suppose -y*t + 60 = -t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 + -1) - (23 - 27).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35, -242, -611, -1136, -1811, -2630, -3587?\n\"Answer: c**3 - 87*c**2 + 47*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*i*m**3 + 232*i*m**2 - 7*m**4 + 14*m**3 + 4*m**2 wrt m.\nAnswer: 60*i - 168*m + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*s - 319*s + 4 - 4 - 5*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 6*s**2 + s - 3. Let i be y(2). Let t(v) = -v**2 - 7*v + 2. Let k be t(-7). Suppose -3*p - g = p - i, 4*p + k*g = 18. Solve x + 0*x = p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -556666527, -556666525, -556666523?\n\"Answer: 2*a - 556666529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 0) + 4 - 2. Suppose -3*u + 0*u - 2*k + 19 = 0, -5*u + k + 10 = 0. Suppose 6*c + 17*c**3 + 6*c**t + 4*c - u*c**3 + 25*c**2 + 5*c**4 = 0. What is c?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (485\/(-2))\/((-4)\/(-16)). Let i = 391 - d. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -166, 1.8, -3, -1, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 9 = 3. What is the common denominator of -61\/22 and 5411\/840 - f\/(-10)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -10. Let d be ((-6)\/f)\/((-6)\/(-32)). Suppose 28 - d = r. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6644)\/(-34881)*(-903)\/2\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 8.45. Let l = a + -0.1. Let t = -0.492 + l. What is t rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*w + 27 = 0, -4*m + 3*w + 13 = 6. Suppose 5*t + 2*p = p + 213, -2*p + 174 = m*t. Calculate the highest common factor of t and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242690077 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 - 9*x + 8. Let c(y) = -y**2 + 8*y - 7. Determine 7*c(s) + 6*n(s).\nAnswer: 5*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (18 + 12 + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, k: 1, b: 4, o: 9, y: 2}. What is prob of picking 1 b and 1 o?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 533a29 + 7?\nAnswer: 533a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -557429, -557323, -557147, -556901?\nAnswer: -556585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -23*p + 2. What are the prime factors of x(-15)?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 84640*d - 84641.\nAnswer: (d - 1)*(d + 84641)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.6548*946.\nAnswer: -10079.4408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 38*y**2 + 4*y - 26. Let j be g(16). Round j to the nearest one hundred.\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 806 = -k + 769, 40 = 2*i + 2*k. Solve 5*w - 9 = 4*v, -4*v - 18*w + i*w + 11 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/4 + (-6)\/(-12). Suppose -5*g = -23 + q. Let i be 24\/(-231) - g\/22. Which is greater: 8 or i?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - w + 3, l - 1 = -2*w - 0. Factor 4*h**2 - 3 + l - 2*h**3 - 3*h - 3*h + 2*h**2.\nAnswer: -2*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (190\/(-6))\/(5*16\/(-48))*-1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 4 (c) 2 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 16 = -2*k. Let q = -0.3 - 0.1. Let g = -3 + 1. Which is the nearest to 0? (a) g (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + s + 7 + 29 = 0, 0 = 4*s. Suppose -105 = -2*j - j. Calculate the remainder when j is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 23 - 16*u - 47 - 35*u + 2*u**2 in the form v*u**2 + n*u + p and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 14. Let o = 22 - 20. What is the units digit of (h - o)\/2 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 399 = -8*j. What is the tens digit of j\/6 - (-2)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 6*n + 19. What is the tens digit of x(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9 + 1 - (-7)\/((-126)\/51) and -35\/1644.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, n: 3, q: 1, r: 3, y: 1}. What is prob of picking 2 s?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1993*x**2 + 48*x + 126. Let v be u(-3). Is -17955 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0477 + -0.1258. What is k rounded to 3 dps?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1930758 divided by 2469\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3\/13 + 84*v**2\/13 - 58*v - 840\/13 = 0.\nAnswer: -1, 15, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*c**3 - 22 + 22.\nAnswer: -435*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - 1. Let m(i) = i**2 + 10*i - 12. Is m(k) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49528, -99062, -148596, -198130, -247664?\nAnswer: -297198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 426\/21 + 2\/(-7). Suppose 0 = 5*f - 25, l = -0*l + 4*f - d. Suppose -44 = -2*z - l*j - 4*j, -108 = -4*z - 3*j. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 11:29 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 4\/9, 0.3, 1\/3, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 4 + 33*g**3 - 34*g**3 + 0*g**2 - 2*g**2 to w*g**2 + s*g + b + p*g**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 16*v**2 + 4*v**2 - 67572*v**3 - 18620*v**3 + 12*v**2.\nAnswer: -86192*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1972 or 33510\/17?\nAnswer: 33510\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2 + 0)\/((-1127084)\/(-845250) - (-16)\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/5 - (-16)\/(-40). Is 3 + a*(-186)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 499423 from -4591898.\nAnswer: -5091321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (31 - 9) - 9) + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-450)\/5400)\/((-280)\/(-48))\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*z**4 + 36*z**4 - 34*z**5 + 46*z**3 - 22*z**5 + 55*z**4 - 2*z - 9*z**2 + 84*z**5 = 0. Calculate z.\nAnswer: -2, -1, -1\/7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1421\/570 - -48\/19. Let i = 17\/60 - x. Let o = 5 + -3. What is the closest to 1\/4 in o, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2 - 2)*-2. Suppose 667 - 267 = y*v. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -20 - (88 - 57 - -10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -27, 3\/28, -798, -2\/13 in descending order.\nAnswer: 3, 3\/28, -2\/13, -27, -798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-2)*3\/36*9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34125, 34120, 34105, 34074, 34021, 33940, 33825, 33670?\nAnswer: 33469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 9*h - 9. Let b be k(7). Let y(q) = -6*q + 26. Let w = -202 - -206. Let a be y(w). Solve 3 = m, a*m = -b*r + 4*m + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 (base 13) to base 9\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.1 (b) -2 (c) 2 (d) -44 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -9*i**4\/2 - 496*i**2. Let n(y) = -y. Give b(n(p)).\nAnswer: 108*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -0.6. Let d = -13.4 - -9.4. Which is the smallest value? (a) d (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 20*c - 21. What is r(-24)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/11)\/y**(4\/9))**29)**10 assuming y is positive.\nAnswer: y**(-17980\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66987.96um to meters.\nAnswer: 0.06698796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/3 + 62212*w**2 - 1447759830*w - 506334916648\/3 = 0 for w.\nAnswer: -116, 46717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/88? (a) -20 (b) -282 (c) 0.3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 9. Put q, -4, -5 in ascending order.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 263744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40573768 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 841*t**2 + 2 - 922*t**2 + 5565*t**2 in the form z*t**2 + c + h*t and give z.\nAnswer: 5484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 + h + h - 4*h + h + (0 + 0 + 1)*(-5*h + 3*h + 3*h) + 5*h - 4*h + h)*(-1 + 1 + h)*(-63 + 63 - 50*h).\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 2:23 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-229*p + 567*p - 1 + 245*p)*(0 + p - 1 + p + (0 + 0 + 1)*(0 + p + 0)).\nAnswer: 1749*p**2 - 586*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9*y + 8 - 8*y + 17*y - y**2 - 7*y. Let m(c) = -c + 1. Let s(j) = -5*j + 5. Let i(f) = -11*m(f) + 2*s(f). Determine -6*i(d) - u(d).\nAnswer: d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*y = -5, 1857*m - 1861*m + 14 = -3*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/169 in -0.5, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 69, 118, 187, 282, 409?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 3. Let m(f) = 4*f**3 + 78*f**2 - 35*f + 112. Let g be m(-20). Calculate the highest common factor of q and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, 74 in increasing order.\nAnswer: 0, 6, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6970, 6914, 6856, 6796, 6734, 6670?\n\"Answer: -i**2 - 53*i + 7024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -10, -2 in increasing order.\nAnswer: -10, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlonnlnoooono. Give prob of sequence oloo.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 20.595\nAnswer: 10.2975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 8 (c) 2\/21 (d) 1\/379 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6256\/7 - -951. Let b = o - 58. Find the common denominator of b and (-15)\/2*(-70)\/(-60).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 - (5 + -1 + -37 + 10)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z - 9 = -23*z. Suppose -4*f = -m + 7, -z*f + 2*m = 2*f + 8. Let n = -0.06 + -7.94. Which is smaller: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12508 - 10551.87492. Let k = g + 10551.99995287. Round k to six dps.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*8\/(-112) - 15\/12?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 7*x**2 + 3*x + 15. Let b(y) be the third derivative of -y**4\/12 - 23*y**3\/3 - 11*y**2 + 2. Let c be b(-20). Is z(c) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 9 + 0 = 0. Suppose 4*u - q + 3 = 0. Suppose -3*v + 12 + u = 0. Solve -k + v = -5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.088*275.\nAnswer: -24.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - l**2 - 3*l - 1. Suppose 0*s - 2*s - 33 = -3*c, -4*c - s = -33. Suppose 0 = -3*t - 7*m + c*m - 2, -12 = t + 5*m. What is v(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5636 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 - 3.3. Let i = 4.6 + a. Let l = -1.5 + i. What is l rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9347 > 6222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from joghomjjgojdjojjd. What is prob of sequence hj?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*w - 51*w - 128*w + 364*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -32*n**4 + 7*n**3\/3 - n**2 - 2*n + 91. Is s(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -31. Solve a*l = 3*z + 40, 3*l - l - 25 = 3*z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138766843120 + -38022174632271\/274. Let d = 217582 + h. What is the common denominator of d and 29\/12?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 32*y**2 + 18*y - 348. Give u(-30).\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/((-1)\/(-1)))\/2. Suppose j = -t - 0 + 3. Suppose g + 3*k + 4 = 0, k = 2*g + t*k - 12. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -311 + 992. What are the prime factors of u?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h\/((h**(-7)\/h*h*h)\/h*h))\/h))\/(h*((h**(5\/4)\/h)\/h*h*h)\/h))\/(h\/(h\/h**(-1))*h*h)**7)**38 assuming h is positive.\nAnswer: h**(-1007\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2139?\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-18)*a*a*a**(2\/23)*a*(a**(2\/9)\/a)\/a**(-3\/10) assuming a is positive.\nAnswer: a**(-29789\/2070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 415 - 249. List the prime factors of m.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 + 0 = 0. Is t + (-8)\/(-2) + 245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/4)\/(-1))\/((5487\/2914)\/(-177)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + ((-225)\/18 - -12). Which is the smallest value? (a) -5 (b) f (c) -0.017 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20605 = -99*g + 4343*g - 128470 - 105565 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**5\/120 + z**4\/12 + z**3\/3 - 3*z. Let t(n) be the second derivative of k(n). Calculate t(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*n + 34*n + 43*n + 7*n**2 + 7*n**2 - 10*n**2.\nAnswer: 4*n**2 + 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14023 + 14947. List the prime factors of v.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxe when three letters picked without replacement from moofmoemfofoffmooxof?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlnentpeepldpnenll. Give prob of sequence ldt.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 51*j + 31. Calculate s(-5).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 0*s**2 + 17 - 1. List the prime factors of p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2\/9 (c) -0.28 (d) -571 (e) 1 (f) -3\/44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 + 224. Is d a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 9*u - 2 + 21*u - 14.\nAnswer: 34*u - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43896 is divided by 187.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3407, 6397, 9387, 12377, 15367?\n\"Answer: 2990*g + 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*(-3*sqrt(245)*-1 + sqrt(245) + 1).\nAnswer: -420*sqrt(5) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -232304034 + -2324?\nAnswer: -232311413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -530, -1211, -2164, -3389?\nAnswer: -4886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 8*t - 47 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209095002.\nAnswer: 2, 3, 17, 683317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/576925 and 53\/6383.\nAnswer: 7500025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4534, 18121, 40766, 72469, 113230?\nAnswer: 163049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*z**3 + 5*z**2 - 21*z**4 + 5 - 4 - z - 120*z**3 to the form s + b*z**4 + d*z + n*z**2 + i*z**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4115170 divided by 5?\nAnswer: -823034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 6*i**2 + 0*i**2)*(-33 - 10 + 10).\nAnswer: 66*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -11*f - 5. Let x(p) = -7*p - 13. Let a(t) = 9*t + 12. Let v(m) = 5*a(m) + 4*x(m). Give 5*v(l) + 8*z(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923*m + 922*m + 6 = -n, 3*n - 4*m = -24 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2757 and -581.\nAnswer: 741.1817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-6)\/24)\/((-2)\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -28. Let g = k + 28. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9023 - 3253 + k**3 - 3646.\nAnswer: k**3 + 2124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.151 + -0.451. What is the closest to 1\/2 in p, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4198778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -90, -207, -430, -795, -1338, -2095, -3102?\nAnswer: -4395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -3)*(-17)\/476.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44\/113 or -513?\nAnswer: 44\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4617, 4621, 4627, 4635?\n\"Answer: o**2 + o + 4615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*x = -40*x - 418. Let k = x - 413. Let r(j) = 3*j + 5. What is r(k)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -72. Let m = 3 + i. Let f = m - -13. Which is the second smallest value? (a) f (b) 3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)*i**(-10\/7)\/i)\/(i**(-4\/17)\/((i\/(i\/(i**(-1\/13)\/i)))\/i)))**(1\/8) assuming i is positive.\nAnswer: i**(-11247\/12376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33406699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29165050?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236 a factor of 4284921540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 131*u**2 - u + 2. Let g be k(1). Suppose -g = 2*z + 2*z. Let y = z + 129\/4. Which is the second biggest value? (a) -0.4 (b) y (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*z - 4*z - 2345 = -18*z for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/33*(80\/5)\/(-544).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5781?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z - 5*z + 12*z + 11*z**2 to q + p*z + y*z**2 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*y + 45*y - 44. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -31. Let y = s + 26. Solve -v - 4 + 9 = y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -140 + 140.1. Let s = 5.049 + -0.049. What is the nearest to z in s, -0.38, -0.5?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121641 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (7 + 4 - 5) - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -204170.2 rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -7, 31.8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 648 and 3726?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -55*q**2 - 2*q - 2*q + 57*q**2 + 4*q. Let u(w) be the second derivative of 46\/3*w**3 - 16*w + 0 + 0*w**2. Give u(r(j)).\nAnswer: 184*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-7) + (-11 - -8).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348690?\nAnswer: 2, 3, 5, 59, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.8 + 1.2. Let k = -14 + f. Which is the closest to k? (a) 0.1 (b) -7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u + 0 + 0)*(2 - 7 + 3)*(3 - 4 - 2)*(2 + 5 - 1)*(2 + 1 - 4)*(4 - 1 + 2)*(-2 + 3 + 2) in the form v*u + c and give v.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -287, -427, -565, -701, -835, -967?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s**3 - 11*s**2 - 38*s + 7. Let f(q) = 3*q**3 - 4*q**2 - 13*q + 2. Let k(z) = -11*f(z) + 4*j(z). Factor k(n).\nAnswer: 3*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 17 - 7*d)*(3*d**2 - 3*d**2 - 2*d**2)*(3*d + 4*d - 5*d)*(10 + 8 + 0) in the form g*d**2 + o*d**4 + t + j*d**3 + q*d and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1 + 969548*t + 4 - 971899*t.\nAnswer: -2351*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*w = 53735 - 55895 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -7. Solve 3*n**3 - 5*n + n - 6*n**2 + 3 + 3*n**r + n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 205*u**3 + 152*u**3 - 358*u**3 - 5*u**2 + 7. Calculate z(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - t - 3. Let r(l) = l**2 + 1. Let b(a) = -n(a) + r(a). Let j be b(0). Solve j*i + i - 10 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*z + 7*z + 2*z**2 - 11*z**2 wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -16) + (-92 - (218 + -425)).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 18?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - -90)*-6*22\/(-99). Put 4, q, -7, -2 in decreasing order.\nAnswer: q, 4, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -122868*g**3*j**3 - 71833*g**3 - j**3 wrt j.\nAnswer: -368604*g**3*j**2 - 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15430*v**2 - 32*v + 756199 with respect to v.\nAnswer: 30860*v - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-14 + 4) - (0 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {r: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 18. Let o be k(-15). Factor -5*y**o + 1 - 1 - 4*y**5 + 8*y**4 + y**3.\nAnswer: -4*y**3*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbckclu. Give prob of picking 1 c, 1 b, and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 108 - 765\/2*g - 9\/2*g**4 + 357\/2*g**2 - 15\/2*g**3 = 0.\nAnswer: -8, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/6 - (-54)\/4. Let c(b) = 6*b + 9. Is c(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 12*v + 18. Suppose 0 = z - 5 + v. Solve 0 = 2*c - 0*c - z, -3*c - 6 = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppe when three letters picked without replacement from aapaxeaauaaeaapap?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 25416*f. Let k(x) = 2*x. Calculate k(t(r)).\nAnswer: 50832*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 2\/7, -7, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5\/37 (b) 0 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + 1*sqrt(272)*4 + -4)**2.\nAnswer: -8776 + 384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1258, -4471, -9836, -17353?\n\"Answer: -1076*r**2 + 15*r - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2480972?\nAnswer: 2, 13, 47711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2. Let x(j) = j + 4. Let q(h) = 5*l(h) + 2*x(h). Let c be q(2). Factor 1\/5 - 1\/5*i**c + 0*i.\nAnswer: -(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*y - 75 = 5*k + 588*y - 293*y, -3*k - 46 = y for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - 100111110?\nAnswer: -100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, l: 3, t: 1, j: 2, f: 1, i: 3}. What is prob of picking 1 j, 1 l, and 1 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 times -90.658\nAnswer: 199.4476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -16846 greater than -9152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319356*c + c**2 - 319356*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5736 = -5*i - 5*o, 4*o - 5724 = -5*i. Let g = 1166 - i. Suppose -2*k + 24 = 2*k. Calculate the greatest common factor of k and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3*t - 2 + 1 + 3.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3496500 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 48 - 32. Let z be 35*(-1 + (8 - 3)). Suppose 0 = 13*k - 6*k - z. Calculate the least common multiple of o and k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*v - 73*v - 22192 = 1148*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 9*x**2 + 20*x - 25. Let d be h(10). Does 8 divide d\/100 + ((-2658)\/8)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101001110010111 (base 2) in base 15?\nAnswer: -39d44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 1:53 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-36)*(-6)\/9?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -623 + (0*3\/6)\/1. What are the prime factors of (-1)\/((1 + c\/622)*1)?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t*t*t**(5\/7))\/t)\/(t\/(t\/(t\/(t\/(t\/(t**(1\/3)*t)))*t))))**39)**(16\/9) assuming t is positive.\nAnswer: t**(8944\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*c = 272*c + 312. Let d(l) = -17*l**2 - 3*l - 5. Let f(n) = 6*n**2 + n + 2. Give c*f(a) - 3*d(a).\nAnswer: 3*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 = 3*m + 5, -3*o - 11 = 4*m. Suppose 0 = -c + m + 5. Solve b = 4*u + 2*b - 6, 3*b = -c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4362)\/(-55252) - 3\/38) + (0 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 506260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-9) - (-4424)\/63. Suppose -o = 80*n - 85*n. What is the remainder when 66 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 1\/60*p**5 + p**2 + 0*p + 5\/6*p**3 + 5\/24*p**4 + 0. What is the units digit of o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*q + 6 - 1 - 4)*((-9 + 9 + 2*q)*(0 - 1 - 1) - q + q - q).\nAnswer: -100*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (25 + 1) - -11?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7470 + 29893\/4. Calculate the common denominator of z and 21\/2708.\nAnswer: 2708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7290.587 litres?\nAnswer: 7290587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16275\/(-310)*(-12)\/42\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8\/5 - -19\/15. Which is the nearest to w? (a) -5 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + 11 + -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/2, -410, -0.2, -2\/7?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35625 or -95?\nAnswer: -35625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 150*n**3 - 2*n**2 + 3*n - 649. Let z(q) = -2*q**3 + q**2 - q. Let o(a) = k(a) + 2*z(a). What is the first derivative of o(s) wrt s?\nAnswer: 438*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -83*a. Let z(v) = -23*v**2. Give y(z(i)).\nAnswer: 1909*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4161 (base 7) in base 3?\nAnswer: -2000020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqjjjoooqqqqjjo. Give prob of picking 1 o and 2 q.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21870 and 117320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26700 divided by 89?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -24*b - 8*b + 2*b + 32*b. Let m(j) = -1810*j. Determine q(m(n)).\nAnswer: -3620*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 10*y**2 - 5*y - 28. Let c be l(-10). Solve c = 3*q + 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, w: 2, u: 1, x: 4, s: 7}. Give prob of sequence swxh.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 492 + -492.076. Is r at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 10*j - 8. Let o(y) = y - 1. Let h(s) = -5*o(s) + u(s). Let c be h(1). Find x such that -8*x + 3 + 36*x**c - 3 + 0 - 28*x**3 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/11)*y**(-2\/5)\/y)\/(y*y**(1\/4)\/y)**(-11))\/((y*y*y*y\/y**(-1)*y*y)**(-1\/67)*y**(6\/11)\/y*(y**(-9)\/y)\/y) assuming y is positive.\nAnswer: y**(192959\/14740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*v = 8, 3*v - 6 = -0. Calculate the remainder when (6\/(-4))\/((-3)\/4) is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -20. Are q and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -256688*w**4 + w**3 - 6*w**2 + 480385423*w?\nAnswer: -3080256*w**2 + 6*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 386 = -134. Suppose 4*w - 4*c = p, 4*w + w - 4*c - 40 = 0. Suppose -w*h - 30 = 22. Which is smaller: -27\/2 or h?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -3. Let g(s) = -s**3 + 7*s**2 - 4*s - 8. Let t be g(6). Let l = 0.2 + -0.3. What is the smallest value in l, f, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 2:36 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + -2*sqrt(245) + sqrt(245) + -4 + -3*sqrt(245))**2.\nAnswer: 504*sqrt(5) + 3996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29308 = -1825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5932970.\nAnswer: 2, 5, 593297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30327 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 7415 and 1377 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Factor -13\/4*m**3 + 237\/4*m + 45\/4 + 179\/4*m**2.\nAnswer: -(m - 15)*(m + 1)*(13*m + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140 - 100. Suppose -8*b + 3*b = p. Is -10 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 2 + 14*s - 9 to h + k*s and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(136) - sqrt(136)*-2)\/sqrt(8) + 5 + sqrt(1377) + sqrt(1377) + 0 + sqrt(1377) + -5)**2.\nAnswer: 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 204621 + -296115.\nAnswer: -91494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 + -82. Let i(s) = s**2 + 12 + 10*s + 8 - 3 - m. Calculate i(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 11*m**2 - 14*m + 21. Let a(q) = -5*q**2 + 7*q - 11. Determine 13*a(v) + 6*g(v).\nAnswer: v**2 + 7*v - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -658612, -658611, -658610, -658609?\n\"Answer: c - 658613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -21 (c) -0.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/7)\/(-2))\/(209\/2926)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 20*z**2 - z + 19. Let k be x(20). Let l = 138 - 691\/5. What is the third smallest value in l, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2184 and 1857?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**3 + 0 - 13*y + 3*y**3 + 12*y + 2*y**2 + 3 to the form r + f*y**3 + p*y**2 + x*y and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 1604304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by (-16)\/(-10)*((-68)\/(-8) + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 4*c**2 + c**2)*(3*c**2 - 2*c**2 + c**2 + (-5 + 10 - 4)*(-8*c**2 + 0*c**2 + 9*c**2 + 78*c)).\nAnswer: -9*c**4 - 234*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a**2 + 201*a - 138 = 0.\nAnswer: -23, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -4*h. What is the lowest common multiple of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -167*i - 752. Let j be u(0). Do j and -752 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 - 70. Suppose 3*o - l + 11 = 0. Calculate the highest common divisor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 41*f. Let q(a) = -9*a. Let d(r) = -2*i(r) - 9*q(r). Let k(s) = -49*s**2. What is d(k(w))?\nAnswer: 49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-779*r - 72*r + 142 - 142)*(5 - 2 - 2)*(-12 - 3*r + 12) to a + x*r**2 + l*r and give x.\nAnswer: 2553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + 4*u**5 - u**5 + (208*u**4 + 94*u**4 - 63*u**4)*(-5*u + u + 2*u) + 2*u**3 - 11*u**3 + 7*u**3 + 24*u**5.\nAnswer: -452*u**5 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-111)\/296 + 3\/8. Let j be ((-2014)\/6)\/((-1826)\/(-3)). Let p = j + 1\/166. Do z and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04673 and 0.079.\nAnswer: 0.00369167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24609 + 17923 = 49*k. Calculate the remainder when k is divided by 213.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 16 = 5*d - 214, 4*a - 3 = -5*d + 263 for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 + 15*t - 73 + 7*t)*(t + t**3 - t).\nAnswer: 22*t**4 - t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 19*j + 176. Let g be f(-9). Which is the closest to 5? (a) g (b) 0 (c) -8\/7 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*m - 32 = -205, 4*y + 5*m - 131 = 0. What is the fourth biggest value in 3, 0.1, y, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 1. Let s = p - 6. What is the closest to s in 5, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-3\/5)\/v)*v\/((v*v\/v**5)\/v*v))**(-2\/21) assuming v is positive.\nAnswer: v**(-22\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, 0.1, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-5*5\/50.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2))\/(16 + -26 + 1263\/126). Solve 0 = 6*v - v - 4*a + p, 4*a = -2*v - 14 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(42) - -1*sqrt(5082))\/(-3*sqrt(486)).\nAnswer: -4*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -104 = -878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11786 (base 10) in base 13?\nAnswer: 5498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 11:12 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -4*n**2 - 7*n - 6. What is the derivative of c(j) wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -346*j + 376*j + 240 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z. Let j(d) = 3013*d**2 + 2*d - 1. Give r(j(g)).\nAnswer: -6026*g**2 - 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-12))\/(0 + 4\/(-688)). Let k = -39 + y. Solve k*a - 20 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i\/(i*i**(-2\/3)))\/i))**(1\/15)*i**1*i**(2\/5))\/(((i**(-2)*i)\/i**(-3))\/(i*i\/(i\/(i**1*i)))**(-10)) assuming i is positive.\nAnswer: i**(-1376\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**3\/2 + 21*j**2 - 7*j. Let m be z(12). Suppose -15*y + m*y + 59400000 = 0. Round y to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6367 (base 15) to base 14\nAnswer: 7938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 + 2*k**4 - 3*k**4 + (3*k**2 - k + 0*k - 4*k**2)*((2*k - 5*k + 2*k)*(-2*k + 2*k - 2*k) + 8*k**2 + k**2 + 15*k**2).\nAnswer: -27*k**4 - 26*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 1:55 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-20))\/(5*(-8)\/400)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16571 + (-98 - 2)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14550?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 21. Let u be s(-13). Let w be 343\/42 - 1\/6. What is the second derivative of w*n**5 + n + 2*n - 2*n**u wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a + 11. Suppose -4*m = -3*k - 1, 2*m + 9 - 5 = 0. Let z(b) = -2*b + 4. Determine k*o(c) + 8*z(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 161*d + 42. Suppose 90*c = 205 - 3985. Let m(v) be the second derivative of -19*v**3\/6 - 5*v**2\/2 + 25*v. What is c*m(z) - 5*y(z)?\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 3*p**2 + 5*p - 1. Let d be y(4). Let s(z) = -d*z + 2 - 1 + z. Let a(x) = -5*x**2 - 46*x + 260. Let h be a(4). What is s(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 193322426 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 3*b + 3 = 0, 0 = 4*y + b + 259 - 258 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.8 and 0.589924?\nAnswer: -5.7812552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjs when three letters picked without replacement from ssjjj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from {r: 1, h: 1, w: 1, s: 1, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (30*8\/72)\/((-6)\/27)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5757816 to 2 dps.\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1467 + 294 + 296 + 291 - 25*d + 294 + 294.\nAnswer: -25*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + -3 + 2 - -2*(-1*sqrt(300) - sqrt(300)))**2 - (sqrt(192) - (1*sqrt(192) + sqrt(192) - sqrt(192))*5)\/(-2*sqrt(4)*-5).\nAnswer: 378*sqrt(3)\/5 + 4108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165 and 210.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1968 and 1476.\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 179285*s**2*t**2 + 4*s**2*t + 5*s**2 + 18455516*s*t**2 + 2*s*t - 2*t**2 wrt s.\nAnswer: 358570*t**2 + 8*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**7\/5040 + g**6\/144 + g**5\/60 - g**2. Let p(y) be the third derivative of d(y). Determine p(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 48a?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07463 and -1.484.\nAnswer: 0.11075092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13702 = -17*t + 6681. Suppose -t + 198 = -11*q. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -389*h**2*w**2*x - 2*h**2*w*x - 17*h**2 - 495*h*w*x - 4*w**3*x + 1757*w**3 wrt w?\nAnswer: -778*h**2*x - 24*w*x + 10542*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.53 - 12.43. Which is the nearest to -72? (a) j (b) 0.4 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/2 - (0 - 6 - 2). Suppose -44*b + 51 = r*b. What is the remainder when 8 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/11 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-7)\/((-21)\/(-6))). Solve y = -4*m + 2*a + 14, -2*m - 3*m + 4*a = -25 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-108)*(2 - (-8)\/(-5)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 132802041863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/4 - 1\/(-4). Suppose -r - 1\/2*k - 1\/2*k**5 - 1\/2*k**4 + k**2 + k**3 = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*q - 6, 4*z + 4 = q + q. Solve -q = -3*p - 2*c + 6, -5*p + c = 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 15 + 5. Let r be ((-2)\/6)\/((-2)\/12). Let n(o) = 4*o**2 - o**2 - t*o**r. Let j(l) = -5*l**2. Give j(n(h)).\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*5\/10)\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.2 - -28. Let h = -3071.37 - -3059. Let r = h + d. Round r to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1834.4 - 1834. Let z = -0.2 - 0. Let c be -1 + 6\/(-4)*-2. What is the third smallest value in c, a, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5662 is divided by 940?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 7)\/(-14) + 33\/(-27)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 499.19 - 471.741. Let b = -27.7 + f. What is b rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d - 2. Let z be h(2). Suppose -w - 2*m - 20 = 0, z*w - m = -47 + 3. Is w\/42 - (-982)\/7 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283603121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/(-88) - (-9)\/12. What is the nearest to 0 in 0, -4, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 50.47383m?\nAnswer: 50473830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57002, 228021, 513058, 912113?\n\"Answer: 57009*l**2 - 8*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49)*3)\/sqrt(7)*-3)**2 + (((sqrt(252) - (sqrt(252) + 1 + sqrt(252))) + sqrt(252))*6)**2.\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*o = 1579, o - 8 = -13. What are the prime factors of h?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 + 13?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-52)\/143 + (-404)\/(-22). Solve -4*d = -4*p + 3*p + 15, d - 5*p + x = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/351 and 40\/81?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117134339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 1, d: 2, z: 2, y: 1}. Give prob of sequence yz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 400 + 33?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkgkccgcg. Give prob of picking 1 g and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 12:37 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4318.\nAnswer: 2, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1899654 is divided by 2186.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(2*14\/8). Let p = 2\/69 - -44\/69. Let t = 1.8 + -2. Which is the second biggest value? (a) p (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 232 = 2*r, q = -r - 8 + 139. What is r rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 1, a: 1, l: 5, i: 4}. What is prob of picking 3 i?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89.5 or -2\/5?\nAnswer: -89.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93464653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38232 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -3*p + 37 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28521780*u**2 + 6420544.\nAnswer: -57043560*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -b + 264, b - 260 = -4*d + 28. Calculate the highest common factor of 36 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + sqrt(325) + (sqrt(325) + -4 + -2)**2 - ((sqrt(325)*1 + sqrt(325))*6 + -1))*3.\nAnswer: -6426 + 2070*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f + 13*f - 5*f + 45*f**2)*(-4*f + 2*f + 0*f).\nAnswer: -90*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7857516 and 5748?\nAnswer: 5748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 25*v + 5324. Let l = 248 + v. Solve j = l*j - 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -120116 + 4*s + 120116. Let n(x) = 65*x. Let b(j) = 11*j. Let l(v) = -35*b(v) + 6*n(v). Give l(u(p)).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 6*x + 9. Let m be y(-7). Suppose -5*u - 5*h = -2*u - 31, 4*u - 28 = -4*h. Find the third derivative of 2*a**2 - u*a + m*a**3 + 2*a wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.9185346 to one decimal place.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - 1 - (941 - 789)) + (-1 - (-9 - 0))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 940600500 rounded to the nearest 1000000?\nAnswer: 941000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -170 + 238. Let p = 477\/7 - m. Let a(z) = -2*z - 4. Let h be a(-2). Are h and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**3 - m + 4*m**3 - 9*m**2 + 3*m - 3*m**3 to the form w*m + h*m**3 + l + t*m**2 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -3*y + 22, 5*y + 789*h - 46 = 786*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - u. Let m(q) = -q**3 - 13*q**2 - 12*q - 17. Let s(z) = -3*c(z) + m(z). Is 26 a factor of s(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (10 - 7)\/(-1). Solve 0*q - 4*q + 19 = -j, -c*j + 14 = 5*q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (92\/(-6))\/((-16)\/24). Suppose -122 = -5*z + s. Calculate the remainder when 114 is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 - 4*j + 20*j - 19*j + 629 + 3*j as x*j + q + l*j**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014074202 rounded to 6 decimal places?\nAnswer: 0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255239092 + 3*x - 255239092.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -6.13 (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6222768 + 5?\nAnswer: 6222770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 16563 and -1456412.\nAnswer: -1439849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*m + 24*m**2 - 49*m - 4*m**2.\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*i + 58 = 0, -44 = -l - l + 4*i. Let x be (20\/(-70) + l\/14)*6. Solve -5*w + 21 = -3*c + x, 5*c = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 6 = -6*u, 1607*w - 1609*w = 3*u + 17 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 7*s**2 - 26*s - 67. Determine l(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*s**3 - 3147*s**2 + 579*s + 70376324 with respect to s.\nAnswer: 24*s**2 - 6294*s + 579","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 120110012 (base 3) to base 6\nAnswer: 124052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/40 and -75\/404.\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, k: 2, y: 9, m: 1, i: 3}. Give prob of sequence yf.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105056?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 8783*o + 4395*o + 4389*o + 25.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.39 (b) 0.34 (c) 1.2 (d) -2\/5 (e) -6 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -2974 in descending order.\nAnswer: 4, -1, -2974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3246618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) -8 (c) -3\/568\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2244 + -2187 - (-1 + -15).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3*(14\/(-42))\/((-3)\/12345)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -20\/2373?\nAnswer: -20\/2373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 628*p**6 + 11*p**2 + 13?\nAnswer: 75360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 18*a + 52. Is w(-13) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5642856 * 0.05\nAnswer: -0.12821428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*l + 6. Let y be (l - 0)*(0 + -1). Let a be y\/3 + -2 + 11. Solve -u - a = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, 0.3, -0.5, -2.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 44324160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*u + 4*x + 1, 4*u = -3*x + 99. Suppose 4*f = -3*f + u. Solve -3*i = 5*z - 14, i - 4 = -f*z - 3*i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 8:48 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 4*q**2 + 3*q + 3. Let i be v(-5). Let a be 3760\/65 - (-2)\/i. Find the common denominator of -101\/4 and -1 + -3 + a\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 17*k - 26*k. Sort 2, k, -103 in increasing order.\nAnswer: -103, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -178885.57 times -9\nAnswer: 1609970.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 68 - 15. Does 22 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + sqrt(704) + 2*sqrt(704) + (sqrt(44) - 6*sqrt(132)\/sqrt(3)))\/(-2*(sqrt(576)*-2 + sqrt(576))))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grrzrzzz. What is prob of picking 1 g and 2 z?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 + 3.1. What is the nearest to -0.1 in f, 0.7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -854 (b) 0.3 (c) 12 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4 - 338*i**3 - 13752*i**2 + 45752*i + 59168 = 0. Calculate i.\nAnswer: -86, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.4 + -5. Let k = -0.7 + b. Let t = k + 0.3002. What is t rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -3*q**2 + 0 + q**3 + 1\/3*q**4 + 0*q. Let r(x) = 4 + 1 + 3*x - 5 + 2. Give 14*r(t) - 5*y(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -i + 5709471*d - 5709469*d, -i + 1 = 3*d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15391 = -28868 - 21871. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 2*h - a + 15, 4*h - 98 = 5*a. What is the remainder when 78 is divided by h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 3)*(0 - -1). Let o = 5 - 2. What is the third derivative of -2*y**o + 2*y**3 + 3*y**2 + y**m wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2017*b - 42687 = 27908 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 5*w**2 - 6*w + 3. Let f be c(-3). Sort -0.3, -2, f.\nAnswer: -2, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 28. Let d = -4 - -7. Let x be (-2)\/((12\/5)\/(-6)). Solve -d*t + 4 + j = 5*n, -x*t - 2*n = -3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0095296 to four dps.\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 3*o - 1. Calculate the least common multiple of l(4) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*c + 3*c**5 + 3*c**5 - 26*c wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ftcxhtcx. Give prob of picking 2 t, 1 f, and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1183\/10 - -119. Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-6 - -7) + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**3 + 2*k**3 + 17*k - 2*k**3 - 3*k**3 wrt k.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*w + 0 - 27*w**3 + 26*w**3 + 3*w + 0 - 56*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 3*c**3 + c**3)*(c + 6 - 6 - 2*c + 3*c + 0*c + (-c + 3 - 3)*(-3 - 4 + 5) - 2*c + 3*c + 0*c - 1 + 1 - 2*c).\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.233093.\nAnswer: 0.233093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 14) to base 6\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -g - 3*s + 174, 0 = 5*g + 4*s - 1533. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2569930637*k + 2*k**2 - 5139861272*k + 2569930635*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-3455178.8\nAnswer: 691035.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16a5 (base 13) to base 12\nAnswer: -1b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 4:44 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 76291+1597008\nAnswer: 1673299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t - 60 = -98*t + 48*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -16*y + 2. Suppose -2*i - 3*i = -90. Let z be 81\/i*(-4)\/6. What is the tens digit of w(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d + 29. Determine t(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 276 - 3. Let z = n - 100. Let g = -172.897 + z. What is g rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 123?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39\/31 + -5197\/558. What is the common denominator of v and -49\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9812 and 373089035.\nAnswer: 2453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 24*n + 9. Let u be o(9). What is the highest common divisor of 60 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2310 (base 4) to base 12.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brmmttjqb. Give prob of picking 1 r and 1 j.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 - g**2 - g + 1. Let w(p) = 6*p**3 - 14*p**2 - 6*p. Let j(u) = -4*a(u) + w(u). Let y be j(-5). Is -2 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -h + 10, -3*m - 5*h + 44 = m. Suppose 3*x = 5*a - 337, -10*a + 3*x = -m*a - 272. What is the remainder when a is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.063 in -3, -3\/8, -1, -2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 669760996*c**2 + 158067006*c + 2 wrt c.\nAnswer: 1339521992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 398 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 89374 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/7 (b) 2 (c) 4\/7 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**4\/3 - 1152220*d**3\/3 + 5761210*d**2\/3 - 1152260*d - 3456735 = 0.\nAnswer: -230449, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6693 is divided by 227?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.204.\nAnswer: 0.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 207138*o**2 + 63*o - 200. Is b(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9003211?\nAnswer: 7, 43, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w - 100 + 380. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-3) - 0 - -35. Suppose 5*h + 3*j - a = 0, -22 = -3*h - 3*j + 4*j. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 449.\nAnswer: 3\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5087282 (base 11) in base 16?\nAnswer: 891806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 at least -135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.424621 years to months.\nAnswer: 17.095452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t + 2 + 0)*(4*t - t - 5*t).\nAnswer: -4*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 177*q + 9725. Determine i(37).\nAnswer: 1807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -12222141?\nAnswer: -12222145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 200 - 190. Solve -p*t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 7. Let d be h(-6). Let y = d - -8. Which is the closest to -1\/4? (a) 4 (b) y (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m + 12. Suppose l - 4*l - 6 = 0, -96 = -m*a + 4*l. Let y = 13 + -1. Calculate the smallest common multiple of y and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57433?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 2*a**2 + 5*a + 36. Let x be s(0). Calculate the highest common factor of x and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 23*l**3 + 4*l + 5. Let n(i) = -22*i**3 - 3*i - 4. Let t be (-2)\/3 + 0 + 31\/(-3). Let s = t + 7. Let g(a) = s*n(a) - 3*w(a). Differentiate g(c) wrt c.\nAnswer: 57*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c = 46. Let b(h) be the first derivative of h**4\/4 + 8*h**3\/3 - 11*h**2\/2 - 10*h - 1. What is the remainder when c is divided by b(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfhklht. Give prob of picking 1 k and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 2*y + 22. Let i(q) = q**2 + q + 11. Let k(u) = -6*i(u) + 3*r(u). Let j = 11 - 5. Let z(s) = -2*s + 2*s + j*s. Calculate k(z(m)).\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - v**2 + v - 1. Let p(s) = 10 + 4*s**3 - 3*s - 7 - 10*s**3 + 6*s**2. Let f(t) = -p(t) - 3*u(t). What is the third derivative of f(z) wrt z?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/136266 and -83\/566028?\nAnswer: 7358364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -28. Suppose 0 = -2*q + 3*q - 4. Let o be -4 - (-9)\/3 - -6. Solve -q = -v*c + o*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z**2 - 2*z - 7. Let g(i) = 3*i**2 + 7*i + 3. Let b(q) = -q. Let m(o) = -6*b(o) - g(o). Determine 4*h(v) - 9*m(v).\nAnswer: -v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(45)\/sqrt(144) + sqrt(5) - sqrt(5)*3*2.\nAnswer: -15*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**3*j**3*u**2 + 1757174*g**3*j**3 + g**2*j**2 + 1489*g*j**3*u - 566*j**3 - u**2 wrt g.\nAnswer: -24*j**3*u**2 + 10543044*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/3 - 628*p\/3 + 208.\nAnswer: 4*(p - 156)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y - 2*y + y - y - y + (-2*y + 4 - 4)*(-2 + 1 - 1) - 2 + 2 + 2*y + (-3 + 6 + 0)*(-13 - 2*y + 13) - 2 - 2*y + 2)*(2*y - 2*y + y + 2).\nAnswer: -7*y**2 - 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24764*b**3 + 96*b + 30?\nAnswer: 148584*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -212, -318, -424, -530?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -38*m**3 - 4*m**2 - 28*m + 22. Let c(r) = 17*r**3 + 3*r**2 + 14*r - 12. Let t(f) = -9*c(f) - 4*n(f). What is t(-9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 11\/3*h - 5\/3*h**3 + 4\/3 + 7\/6*h**2 = 0.\nAnswer: -4\/5, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 23\/4, 5\/4 in decreasing order.\nAnswer: 23\/4, 2, 5\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -392.3 * -61.\nAnswer: 23930.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 4*o**3 - 16*o**2 + 9 - 4\/5*o**5 + 16*o + 2*o**4. Factor q(x).\nAnswer: -4*(x - 2)*(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 810985665939 + 810985665939.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 11.94. Let n = -24 + 28. Let t be ((-71)\/(-355))\/((-6)\/10). What is the second smallest value in q, n, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -149\/28 + -8\/35. What is the common denominator of a and 81\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*g = 3*a + 12, -2*a - 5*g + 2 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 4) + (-159172)\/(-76314). Let s = i - -2\/1659. Suppose 3*g - p = 20, 0 = 3*g + p - 5*p - 35. Which is the smallest value? (a) -1 (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -161, 2\/9, -0.162, 3?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*h + 33, -h + 4*n + 8 = -10. Solve 4*p - 6 = -2*q - 0, 2*q - 4*p - h = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.019 - 0.163817.\nAnswer: -0.144817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 22.09. Let d = y - 9.09. Let u = 0.01 - 2.01. What is the biggest value in u, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-1 + sqrt(343)*3))**2 + -5)*4.\nAnswer: -672*sqrt(7) + 49388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 f when three letters picked without replacement from {f: 7, y: 7}.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 5 (c) 1\/3 (d) 8 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + d = 3*o - 31, 0 = o - 5*d - 11. What is the lowest common multiple of 12 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -363 minus 0.94?\nAnswer: -363.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 17*q - 179 = 0, 2*m + q + 14 - 21 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + -4 + sqrt(19) + sqrt(1216).\nAnswer: 3 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5413a (base 11) to base 4.\nAnswer: -103031211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uec when three letters picked without replacement from ueffucuffuuf?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 7:33 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p\/p**(-2\/3)*p))\/p))**48\/((p*p**10*p)\/((p**(-6)*p)\/p)) assuming p is positive.\nAnswer: p**158","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 6*n + 16. Let b be f(7). Let s be (6\/4)\/(b\/12). Determine g so that -3\/2 - 3\/4*g + 3\/4*g**3 + 3\/2*g**s = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1116489 + -9552679933\/8556. Calculate the common denominator of -23\/558 and p.\nAnswer: 25668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2585 - 2596 + 5171 - 2*p.\nAnswer: -2*p - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.823 to 1 dp.\nAnswer: -14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*k + 6269 + 8361. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7354571 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-27) - (-1090)\/45. Suppose -2*b = 5*o - 17 - p, 0 = b - 3. Suppose -2*r + 8 = 2*a, 7*r = 3*r + a + 16. Solve -o = -r*y - 23 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + (-3 + sqrt(1200) - sqrt(1200)) + -3 + sqrt(1200) + -1)**2.\nAnswer: -520*sqrt(3) + 1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-4)*1 + 1183\/884. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 1:32 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j - 16. Determine u(13).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2137646740 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 28, 68, 126, 208, 320, 468?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 30. Suppose 5*x - i = 4*w, -4*w - x = -4*x. Suppose 0 = 5*v - 0*j - j - 39, w*j = 5*v - 37. Put -5, v, 4 in decreasing order.\nAnswer: v, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q, -24*x + 22*x = -4*q - 5706. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-738)\/(-66) - (9 + 2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 9*b**2 + 8*b - 9. Let k be g(8). Let x = k - -11. Suppose 5*c = -4*q + 28 + x, -5*c = -2*q. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9175 + 9178. Let a be (-1)\/1*(7 + -2). What is the nearest to 9 in -0.3, a, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((149625\/(-70))\/225)\/(2\/12)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -7133280\nAnswer: 1\/1426656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -68. Suppose 9*l - f - 890 = 0. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -231, -354?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -45a + 1?\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4.1. Let f = -45 - -43.1. Let l = i - f. Which is the smallest value? (a) -4 (b) l (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 605? (a) -4 (b) -22 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -422 - -550. Let u = 141 - l. Calculate the remainder when 16 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -13*w**3 + 5*w**2 - 3*w - 7. Let p be v(-2). Calculate the highest common factor of p and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 30737946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3311)\/770*(-4)\/(-2) + 8.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -14. Let q = 35 - v. Let y = q - 15. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*i + 135, 0 = 3*l - 4*i + 299 - 704. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m + 534*m + 442*m - 41.\nAnswer: 993*m - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.213 - 0.013. Let w be (36\/(-24))\/(6\/(-8)). Which is the closest to -2\/5? (a) -5 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/2 >= 6560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 7*c + 3. Let b(i) = 3*i**2 - 15*i - 7. Let p(w) = 2*b(w) + 5*x(w). Let t = 0 + 4. Does 22 divide p(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10800 - -0.1.\nAnswer: -10799.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/15*(-6)\/3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - m + 2*d = 14, 4*m = d - 28 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-1)*(-51)\/66.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/9367953 and -28\/183?\nAnswer: 9367953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, and 1 y when three letters picked without replacement from nywn?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q - 1. Let s(v) = 25*v + 8. Let p(j) = 51*c(j) + 6*s(j). Calculate p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 1\/2, 43355?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 12*d**2 - 9*d + 27. Let m be h(-11). Suppose 4*t + 14 = 5*o, 3*o + m = 5*t + 16. Which is the nearest to -0.2? (a) -1\/2 (b) 9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514330 to the power of 1\/2, to the nearest integer?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 142698 and 214047?\nAnswer: 428094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2. Let u(n) be the third derivative of -n**5\/8 - n**4\/8 + 15*n**3\/2 - 85*n**2. Let z(b) be the first derivative of u(b). Give t(z(o)).\nAnswer: 675*o**2 + 270*o + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + 2 + sqrt(2057)).\nAnswer: -44*sqrt(17) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1 - -3) + 15 + -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 + -179. Let b = c - -58. Let v = 38 + b. Is 1\/4 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -155\/2, -0.6, 8, 0, -1, 0.3 in increasing order.\nAnswer: -155\/2, -1, -0.6, 0, 0.3, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 167.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100338894*a**5 - 2987731*a**2 - a.\nAnswer: -6020333640*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1814201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -245 + 104. Let q = -142 - k. Let z = 0 + -5. Is q less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57284950 and 1635?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3605, 0, -1\/1028 in descending order.\nAnswer: 3605, 0, -1\/1028, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + ((-20)\/8 - 0). Which is the nearest to t? (a) 0.4 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millennium in decades?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 53*t - 90. Determine o(-23).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5372 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = 30. What is the remainder when 61 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*j**2 + j**2 + 0*j**2)*(3*j - 1 + 1)*(-2*j + 2*j - 2*j) - 2*j**4 + 2*j**2 - 2*j**2.\nAnswer: 52*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -t + 5*h + 26, -3*t + 2*h = 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) 0.5 (c) 2240\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1066601?\nAnswer: 967, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -321442 - 223?\nAnswer: -321665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 77, 92, 95, 80, 41?\n\"Answer: -k**3 + 22*k + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18286 and 13603.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -40 - 10 - 1 + 1123073*x. Let q be k(-13). Round q to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7462, 7081, 6700, 6319, 5938, 5557?\nAnswer: 5176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (11 - (-2 + 9))) + (19 - 21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let c be (j + -758)\/(0 - -1). Let r = 1485\/2 + c. What is the common denominator of 4\/9 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (109760\/(-3808))\/(-245)*(-34)\/30?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*q = -23, -3*q - 7 = -5*a + 18. Let x(l) = 2*l**2 - 3*l + 1. Determine x(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433349221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*4*sqrt(16)*-3)\/(sqrt(16)\/(-3*(sqrt(8)\/sqrt(4) + sqrt(2)))))**2.\nAnswer: 259200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 9:36 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -175*l - 2063. Calculate b(-12).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (24\/(-10))\/((-2)\/10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-507)\/338)\/(9\/(-4)))\/((-22)\/3)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from xkkkkxxkkkkkkkkxkk?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41158 - 64558 = 2782*n for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 211.4586m?\nAnswer: 211458.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 34. Suppose 5*s - 3*j = -u, -4*s - 3*j + 4 = -2*j. Suppose s*n + 3*n = 2*q - 5, -5*n + 5 = 0. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/845 (b) 0.3 (c) -1\/6 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 79312 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -4*u**5\/5 + 95*u**4 + 260*u**3 - 190*u**2 - 776*u - 675. Determine b so that c(b) = 0.\nAnswer: -2, -1, 1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98886*c**3*t**3 + c**3*t - 3*c**3 - 5874*c**2 - 2*c wrt t?\nAnswer: 593316*c**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.084 + 1.2. Let p = -0.95 + 2.18. Let y = p - z. Round y to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23141689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124 + -111. Let u = 10 - k. Let q(x) = -2*x - 4 + 3 + 4. Give q(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 454055 divided by -4\nAnswer: -454055\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 254\/5 + -51. Let h = -2 - -2. What is the nearest to 1 in l, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1358082 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 900 take away -0.06?\nAnswer: 900.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 52 = -7*c - 2*x, 58 = 4*c + 5*x. Let l(p) = p**3 + 13*p**2 - 14*p + 8. Let o be l(-14). Let v be 2*(c\/o)\/1. Solve v*w = 7*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 d when four letters picked without replacement from {z: 3, d: 4, m: 7}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 101665, 101752, 101839, 101926, 102013?\n\"Answer: 87*x + 101578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 203, 4\/5, -9?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*h**2 + 2*h**2 + 0*h**4 + 2*h**4 + (-55 + 10*h**3 + 55)*(-23*h - 8*h + 5*h).\nAnswer: -258*h**4 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 0*o**4 + 0 - o**3 + 36*o + 0*o**2 - 11\/10*o**5. What is the second derivative of v(c) wrt c?\nAnswer: -132*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42383 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/42 + ((-6)\/(-4))\/1. Which is the nearest to 0.4? (a) m (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6*x - 16 = 10*x, -m = -3*x - 11. Calculate the highest common factor of 942 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f - f + 5*f + (-f - 3 + 3)*(-3 - 1 + 2))*(6*f**3 - 4*f**3 - 3*f**3) in the form x*f + y*f**4 + m*f**2 + r + v*f**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/60 + n**4\/4 - 8*n**3 - 2754*n**2. Determine p(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 982*i - 996*i - 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 12*o - 26. Give i(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from dddndddddnddddddnn.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19601500 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 4*h + 2. Let b be m(7). Suppose 0 = -c + 9 + b. Is 27 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5510*r**2 - 4*r - 6. Let p be d(-5). Let w = -207736 - p. What is w rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17635 + -792. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103 - -163. Suppose a = -3, -10*a + 5*a = 3*t - 57. What is the greatest common divisor of t and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -661, -2668, -6015, -10702, -16729?\nAnswer: -24096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3421 is divided by 3384?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 9*w = 4*w + 19, 2*b - 3*w - 37 = 0. What is the remainder when b is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 4. Let i = a + -6. Which is bigger: 2\/11 or i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6831150*k**4 + 16009648*k?\nAnswer: 81973800*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1397 + 2930. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 234*s - 2999. Let y be r(14). Which is smaller: y or 265?\nAnswer: 265","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1388149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 11*c - 10. Let i be p(10). Let u(j) be the second derivative of i + 2\/9*j**3 + 1\/18*j**4 - 3*j + 1\/3*j**2. Factor u(m).\nAnswer: 2*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 16, -19, -78, -167, -292, -459, -674?\nAnswer: -943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - o + 31 = 2*i, -5*i - o = -139. What is the greatest common divisor of 27 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -6, 0, 3, 1 in decreasing order.\nAnswer: 3, 1, 0, -6, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/645, 5, -2\/13, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18417762 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2326203 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/((sqrt(120)*1)\/sqrt(12) + sqrt(10)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*x = x - 21, -2*w + 5*x - 3 = 0. Factor -w*l**3 + 2*l**4 - 5*l**4 + 4*l**2 - 7*l**2.\nAnswer: -3*l**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282134946?\nAnswer: 2, 3, 109, 431399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/445 + -1303\/7120. Let p(h) = h**3 - 8*h**2 + 11*h + 6. Let f be p(6). Are q and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 66?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 9*k**2 + 9*k + 11. Let c(s) = s**3 - 4*s**2 - s + 4. Let r be c(3). Let q be f(r). What is the highest common factor of q and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2123 and 17413?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -138*j + 8. Let z(k) = -43*k + 3. Let a(u) = -5*v(u) + 16*z(u). Calculate a(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -856*x = -934*x + 1014 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**4\/12 + w**3\/3 - w**2\/2 - w + 347. Suppose -23 + 8 = -5*m, -d - 3*m = -7. Give n(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifff when four letters picked without replacement from {i: 9, f: 7}?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25885847?\nAnswer: 13, 19, 104801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 19 + 4 + (-5 + 2 + 2)*(2 - 1 + 0))*(3*p**2 + 2*p**4 - 3*p**2).\nAnswer: -24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -12 - 12 + 19. Let j(y) = -y + 9. Suppose 2*o - o + 18 = 5*a, 3*o + 14 = 5*a. Suppose -3*d + l = -d - 7, o*l - 26 = -4*d. Give d*m(n) + 3*j(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-61)\/(8052\/(-360))*-33. Which is bigger: i or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 + -106841\nAnswer: -106841.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1242067373*a**6 + 1673707*a**2 - 3 wrt a?\nAnswer: -149048084760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 - -33. Let m = -23 - b. Suppose a + m = 13. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -752256538987\/5706 - -131836057. Let o = -2\/317 + f. Calculate the common denominator of -103\/144 and o.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from ccqqqqccqccc.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 2*n + 1856 - 2*n + 2706*n**2 - 1857 - n as t*n + b*n**2 + d and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81390910?\nAnswer: 2, 5, 277, 29383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139 + 131. Let p be (3200\/15 - 0)*660\/k. What is p rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/5 + ((-230)\/50 - -5). What is the third biggest value in -5, a, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(190) + (sqrt(190) - (sqrt(190) + 3*sqrt(190)*3 + sqrt(190))) + sqrt(190))*3)\/(5*sqrt(1440)*4) + -4)*-5)**2.\nAnswer: 20*sqrt(19) + 1619\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1477 - -1483. Solve -187*q + 186*q = -u for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11056*c + 11041*c - 420 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -10. Solve -7*t = -3*t - o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 8. Let s = -1 - a. What is the second derivative of -2*c + 3*c**s + c**5 - 3*c**3 wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ummmegemuebubbbg. What is prob of picking 1 m and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 5*n + 30*c - 103 - 39, -5*c + 62 + 34 = -19*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*d - 4*g + 15 = 0, 5*g - 19 = -d. Let v = 50243\/4 - 12561. Sort d, v, 0.4 in descending order.\nAnswer: 0.4, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 + 38. Suppose -2*f - i = i - h, 4*f - 2*i - 256 = 0. Suppose -14*y = -12*y - f. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 340\/6 + (-6 - (-171)\/27). What is the greatest common factor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.114 + 1.22. Let r = h - -0.004. Sort r, 3, 1\/2 in decreasing order.\nAnswer: 3, 1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(sqrt(128) + -1 + sqrt(128) + -4 + -5))**2 + 1.\nAnswer: -8000*sqrt(2) + 15301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(1\/4)*a)*a)**(25\/4)\/(a**(9\/2)*a**(-3\/5)\/a*a) assuming a is positive.\nAnswer: a**(63\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03563 rounded to three dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*j = -90*j - 3*o + 24, 14 = 2*j + 3*o. What is the nearest to 1 in -0.5, -2\/7, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23960419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.071 + -0.429. Let s = -402 - -398. Put 12, s, x in descending order.\nAnswer: 12, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1980 and 122544?\nAnswer: 6739920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.515 times -0.57?\nAnswer: -0.29355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 10*g**2 - 880*g - 10. Determine z(88).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10694, -10785, -10876, -10967, -11058?\nAnswer: -11149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2021, 4042, 6051, 8042, 10009, 11946, 13847?\nAnswer: 15706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/7)*h)\/h*h*h**11*h)\/(h**1\/h**(-3\/13)) assuming h is positive.\nAnswer: h**(1084\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 - 71 + 129)*(-6*z**2 - 10 + 10) + (5 + 1 - 2)*(-3 + 3 + z**2) in the form b*z + m*z**2 + y and give m.\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 90 - 904 = 0. Suppose 141*p - 141 = 140*p. Is p <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 485, 834, 1185?\nAnswer: 1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5791872 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 10:42 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*q - 76*q = 84*q. Solve -17*n + 12*n - a + 25 = q, n - 4*a + 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -329\/4 less than or equal to -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1005838 + -1005838.5899868. Let j = i + 0.59. Round j to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**18)**(-2\/21)*a**5\/(a**(-2\/39)*a) assuming a is positive.\nAnswer: a**(638\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 p when four letters picked without replacement from pgppgggg?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 + -0.14. Let x = -45.951 + 46. Let u = x + 0.151. Put -0.5, u, h in ascending order.\nAnswer: -0.5, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y + 11. Let z(g) = -4*g + 22. Let p(k) = 13*a(k) - 6*z(k). Let r be p(8). Let d(o) = o**2 + 3*o - 6. What are the prime factors of d(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -204246, -204205, -204164, -204123, -204082?\n\"Answer: 41*c - 204287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, y: 12, p: 4}. What is prob of picking 2 p and 1 y?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 10*o + 8. Let x be u(11). Suppose 3*b = x - 7. Solve 16 - 4 = -b*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 629 - 629. Let n(d) be the third derivative of -1\/60*d**5 + p*d**3 + 0 + 0*d - 7*d**2 + 1\/12*d**4. Factor n(s).\nAnswer: -s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 10:33 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/(12\/(-120)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -413 divided by 5485\nAnswer: -413\/5485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - 180*n - 1488. Give d(-81).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(24)\/sqrt(3) + sqrt(8)\/(-1*sqrt(4) - sqrt(4) - sqrt(4)))*-6 - 4*((-2*sqrt(96))\/sqrt(3) + 0))**2.\nAnswer: 528*sqrt(2) + 1112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b. Suppose b = 2*r - 4*d - 7 - 3, 5*r + d - 80 = 0. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 2*x**2 - 4*x. Let n be f(-3). Solve 6 = -n*i, i - 7 - 7 = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 - 150. Let x = -70654.5 + 70737.4873. Let z = x + a. Round z to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 5*q - 5. Let x(t) = -t**2 - 8*t + 3. Let s be x(-8). Let v be u(s). Put -3, v, 0, 4 in descending order.\nAnswer: 4, v, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.049 - -0.049. Suppose -2*s = 5*t - 10, 3*s - 4*t = -s + 20. Let o = s + -5. Which is the closest to o? (a) u (b) 1\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 1\/(32\/(-84)). Let x = -6.8 + 7. Let n = 0.4 - x. Sort 0, f, n.\nAnswer: 0, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -969883, -971262, -973561, -976780, -980919?\n\"Answer: -460*p**2 + p - 969424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 565 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h**2 - 3*h + 3*h)*((0 + h + 0)*(4*h - h - h) - h**2 + 3*h**2 + 0*h**2) in the form z*h + a*h**2 + o*h**3 + q*h**4 + f and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -5. Suppose i = 4*k - 14. Suppose 0*p - k*p = -20. What is the lowest common multiple of p and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 - 2*z**2 + 7*z**2 + (69 - 69 - z)*(19*z - 37*z - 10*z - 1) to the form n + r*z**2 + x*z and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/(-40))\/(46 - 35)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -612909344, -1225818690, -1838728036, -2451637382, -3064546728?\n\"Answer: -612909346*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39472, -78944, -118414, -157882?\n\"Answer: g**2 - 39475*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -666, -1376, -2122, -2910, -3746?\nAnswer: -4636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 + 3*i**2 - i**2 + (-2*i + 3 - 3)*(5*i - 4*i - 2*i) - 16 + 2*i**2 - 16 + 27.\nAnswer: 6*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 6*p - 5. Let q(w) = -w**2 - 9*w - 10. Let t be q(-7). Let s be b(t). Let z(n) = -s + 3 + 3*n. Let h(l) = 2*l**2. Give h(z(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10011001 - 2?\nAnswer: -10011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111001111011010111001011 + 100?\nAnswer: -10111001111011010111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -7, 2, 78 in decreasing order.\nAnswer: 78, 11, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/7)*s*s**(-5))\/(s*s**(2\/7))**(-7\/9) assuming s is positive.\nAnswer: s**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2448 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14969 = -29*h - 14824. Solve 0 = -h*o - 9*o + 84 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6174 = 3*f + 21*d, 5*f + 25*d - 10066 = 22*d. What is the highest common divisor of f and 902?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 47*f + 26. Let r be t(-23). Differentiate -201*c**r + 138 - 48 + 151*c**3 wrt c.\nAnswer: -150*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 (base 10) in base 15?\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657568773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 6950.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3667 and -0.02319.\nAnswer: -85.03773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1691\/6 + 282. Let k = -32.909 - 0.291. Let p = -36 - k. Which is the second smallest value? (a) p (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 15 = z + 2*v, 2*z + 2*v - 12 = 0. Let u(h) = 3*h**2 + h + 1. Calculate the lowest common multiple of z and u(-2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**2 - 2*i**5 - 4*i**2 + (-5 + 5 + i)*(-4*i**4 + 4*i**4 + i**4) + i**5 - 3*i**5 + 4*i**5.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/6 - 41701102*z**2\/3 - 579660663805535*z\/2 - 579660608204067.\nAnswer: -(z + 2)*(z + 41701101)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:58 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5089 + 5089.024. Which is the third biggest value? (a) y (b) 0 (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m. Let b(d) = -915*d**2. What is b(f(n))?\nAnswer: -915*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345 - 61*j - 345 + 1034 - 342.\nAnswer: -61*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7790 + 0.06567\nAnswer: -7789.93433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2106 divide 313366482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1573, -6300, -14181, -25216?\nAnswer: -39405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.3, 563.4, -3\/8, -1\/6, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a. Let s(t) = -6*t + 10. Let b(f) = -7*f + 12. Let u(o) = -5*b(o) + 6*s(o). Give u(c(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 - 6*k**2 - 6*k + 3. Suppose 3*f + p - 28 = 8*f, 2*p = -5*f - 34. Let x be u(f). Suppose 2*o - o = -5*m + x, 51 = m - 2*o. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -8*b**3\/3 + 124*b**2\/3 + 212*b\/3 - 136\/3 = 0.\nAnswer: -2, 1\/2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.1 - -3.2. What is the nearest to -2\/27 in f, 4, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7718392 and 48928?\nAnswer: 30873568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d - 4. Let q be j(3). Let o = -205\/9 + q. Let a be -2 - 16\/(-10) - (-52)\/80. What is the nearest to o in a, 3, 2\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11852650874 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = o + 7, 14*d - 13*d - 97 = 5*o for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 142947370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**5 - 3*a**5 + 7*a**5 + (-a**3 - a**2 + a**2)*(0*a**2 - 4*a**2 + 6*a**2) + 35*a**5 + 34*a**5 - 83*a**5 + 85 + 12*a**5 - 85.\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 3*w + 0*w)*(16277 - 8142 - 8135 + 6095*w**2 + 19313*w**2) to the form x*w + n*w**3 + y + d*w**2 and give n.\nAnswer: -25408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbaucaqhacabcc. Give prob of picking 2 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*n - 5 + 12, 4*q + 2*n = 6. Are q and 1\/12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.3. Let d = 2.742 + 1.258. Let g be -1 - (-1)\/(-1)*(1 - -2). What is the closest to 2 in g, d, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 267\/11, 4, 7\/221?\nAnswer: 267\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 192 + -2630857.972.\nAnswer: -2630665.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {y: 3, r: 1, n: 1, s: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 744718 to the power of 1\/2, to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/3869740 and -7\/1796665.\nAnswer: 50306620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1 = -4*h + 17, -2*h = 6. Put -1\/7, a, 3, -2 in descending order.\nAnswer: a, 3, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 505136067 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 2*a - 13, -5*x = 2*a - a - 20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -328 + 322.6. Let w = k - -5.39999186. Round w to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/18 and 29\/858.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35616 and 124488.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -19, 0, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + -6.7. Let d = -13.7 - q. What is the nearest to 0 in -5, -0.051, d?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146.2488l to millilitres.\nAnswer: 146248.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/((-33948)\/(-2760) + 6\/4).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2394 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1116, -910, -566, -84, 536, 1294, 2190?\n\"Answer: 69*j**2 - j - 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48\/4609 + -41029462\/13827. Let f = 2942 + g. What is the common denominator of f and -13\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 159827.963 - 159907. Let j = i + 79. Round j to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c**(2\/5)\/c)*c))*c)**11*c**(-1\/6)*c\/(c\/((c*c\/(c**(-1\/6)\/c))\/c))*(c**(-2))**(2\/63)*c*c**8\/c*c**(-5) assuming c is positive.\nAnswer: c**(14029\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -20. Let q be 1499\/(-3)*d - 0. Suppose q = 3*l - a, 99 = 5*l - 3*a - 2402. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i + 4, -4*i - 8 = -2*b. Suppose 2*h = 3*a + 5 + b, 0 = -5*h + 4*a + 32. Solve 3*f = 7*f + h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (7 + (5 - 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 289710115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - -5. Let l = -4 + m. Let o = -0.5 + l. What is the nearest to o in 0.5, -0.01, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008950149735 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 2. Let m be (-10 - -3)*(-1)\/1. List the prime factors of j(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Let j be (-9)\/6*(-410)\/15. Let k = j + l. What are the prime factors of k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/7 + 1370*i**3\/7.\nAnswer: -2*i**3*(i - 685)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 99 = -3*u, -5*v + 4*v + 27 = 4*u. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c + 6. Let p(o) = 7*o + 6. Give -7*p(b) + 6*w(b).\nAnswer: -b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(4\/1)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.17301*-50\nAnswer: -8.6505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 - 7*c - 1. Let q(n) = -n**3 - 1. Let b(m) = q(m) - z(m). Find the second derivative of b(l) wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.074742 less than 0.06?\nAnswer: -0.014742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 6. Let l(a) = -a - 5. Let n be l(-11). Let g be 3 - (3 + -2)*n. Sort g, w, -5.\nAnswer: -5, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 24\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12088710 and 134319?\nAnswer: 12088710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*d + 2*d + 1, 0 = 4*o - 4*d + 4. Let c = o + -1. What is the third derivative of -2*j**2 + 0*j**3 - c*j**6 + 0*j**3 wrt j?\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 93. Calculate the remainder when p is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:39 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 59*p**3 + 14*p**2 + 8*p - 6. Suppose 2*k + 16 + 4 = 0. Let o be n(k). Let l = -90686 - o. What is l rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 2*v - 2*o - 460, 5*v + 480 = 2*o. What is the remainder when (-2)\/(-4) + (-306)\/(-4) is divided by v\/(-517) + (-438)\/(-11)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.003 (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**4 - 153*h**3 + 3*h - 6531?\nAnswer: -4*h**3 - 459*h**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 364.22 and -1080?\nAnswer: -393357.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + (sqrt(1216) - (sqrt(1216)*4)**2).\nAnswer: -19455 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.39 (b) 0.2 (c) 483\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**23)**(1\/2)\/(b**6*b)**(-31) assuming b is positive.\nAnswer: b**(457\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 at least as big as -1239492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218032936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -248 + 250. Solve -o*h = 4*l - 12, 2*h + 2*l = 8 - 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7289.81 centuries in years?\nAnswer: 728981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 1)*(-613)\/9. Let r = 136 + g. What is the smallest value in r, -1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**6\/12 + 9*w**5\/20 + 17*w**4\/24 - w**2 + 4*w. Suppose n(m) = 0. What is m?\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 13531?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 367904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/2)\/(4*17\/(-5576)). Let r = k - 284. Suppose -3*h = -h. Solve -r = -m - h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 2*f - 2*b + 2, 0 = -f - 4*b - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h - 12. Let o(y) = -y. Let r(n) = -12*n - 49. Let c(t) = -3*o(t) - r(t). Let d(j) = 6*c(j) + 26*g(j). Differentiate d(l) with respect to l.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -182, -205?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57119762?\nAnswer: 2, 7, 17, 239999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*b - 452*b - 420*b - 19430 = 30*b for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 50*m - 1069. Determine x(17).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*(1 + (5 - (-39)\/(-6)))*-19\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.81 + -0.19. Sort y, 10\/13, -0.4 in increasing order.\nAnswer: y, -0.4, 10\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + -5. Let b = -41 - a. Let s = -21.5 - b. Round s to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.999908 - -2. What is u rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16429 - 16386. Solve 39*u - 3*m = c*u - 14, -4*m - 2 = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 14 = -161. Let a = -20 - j. What is the remainder when a is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -15. Do t and -12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -380 (base 13) to base 15\nAnswer: -2ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n**3 - 3*n**2 + 9. Let q = -10 + 14. Let z(h) = 6*h**3 + 4*h**2 - 9. Let v(c) = q*i(c) + 3*z(c). What is the first derivative of v(b) wrt b?\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -10*t + 48. Let c(w) = 32*w - 156. Let l(d) = 4*c(d) + 13*i(d). Let b(r) = r**2. Let o(y) = 30*y**2. Let v(x) = -3*b(x) - o(x). Calculate l(v(z)).\nAnswer: 66*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, s: 2, p: 1, x: 3, i: 3, l: 3}. What is prob of sequence lssx?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtbgktqjq. What is prob of picking 2 j and 1 k?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.024083, -5\/4, -4 in increasing order.\nAnswer: -4, -5\/4, 0.024083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-35)\/10 - -5)*12\/(-6). Suppose -5 = -5*a + 5. Let h(t) = -a*t**2 - 3 - 2*t**3 + t**3 - 4 + 5*t + 9. Give h(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 8*a**2 + 6*a - 2. Let w be m(-7). Suppose 84 = w*y + 274. What is the units digit of (1 - 0)\/(-1) - y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**4 + 13*k**4 - 8*k**4 - 2 + 5*k + 0 - 3*k**3 in the form q*k + y*k**3 + o + m*k**2 + d*k**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-9))\/13*6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/8 != -131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 132 + -70. Let l(r) = -r**3 - 12*r**2 - 6. Let m be l(-12). What are the prime factors of p - 2\/m*-9?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46838 (base 12) to base 5\nAnswer: 11011013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -10. Let f = x - -10. Let y = -0.06 - -4.06. What is the nearest to 0 in 3, f, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 863*k - 12 = 868*k - 4*q + 4, -3*k + 2*k - 35 - 57 = -23*q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -15566482*g - 14892. Let q be p(-6). What is q rounded to the nearest 1000000?\nAnswer: 93000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0168 - 0. What is y rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:17 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 + -2)*((-52)\/(-65) + 108\/(-60))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from {k: 1, n: 4, c: 2, w: 3}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170185 and 33431.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**3*o**2 - 2640*b**3 + 6*b**2*o**4 + 4*b*o wrt o?\nAnswer: 6*b**3*o + 24*b**2*o**3 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4803931062?\nAnswer: 2, 3, 7, 38126437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5900000 rounded to the nearest one hundred thousand?\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*((k*k*k*k*(k*k**(7\/4)*k)\/k*k*k)\/k*k)\/k)*k\/k**2)**41)**(-5\/3) assuming k is positive.\nAnswer: k**(6355\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389*r - 1495*r + 372*r + 380*r + 364*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -140 - -137. Let l = 1809\/4 + -453. Which is the biggest value? (a) l (b) -70 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*h**2 - 230*h**3 + 164*h**2 + 172*h**2.\nAnswer: -230*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = c + 5, 0*c + 10 = 2*y - 2*c. Suppose y*j + 57 = 3*j. Suppose 0 = i - j - 12. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6722 and 32934439?\nAnswer: 3361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2 - 3*v. Let u(f) = 24*f**2 - 14*f. Let p(t) = 14*l(t) - 3*u(t). Let d(i) = 13*i. What is d(p(c))?\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 0*b + 1 + 2*b - 1 - 4. Let l be m(-4). Is (-4)\/l - (-110)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2964, 2951, 2938?\nAnswer: 2925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17890.\nAnswer: 2, 5, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3143 - -4654. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 13*u - 102. Let t be a(8). Let x(r) = 0*r - r + 44 - 34 + 2*r. Let p be x(-6). Sort 11, -5, t, p.\nAnswer: -5, t, p, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2400000 and 718080?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/5)\/((-4)\/(120\/(-9))). Let p be (-120)\/(-2) - o\/(-1). Let w = 97 - p. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y + 40 = 0. Suppose 4*u - y = 4*m - 5*m, -m = -u. Suppose 5*k - m*k - 156000 = 0. Round k to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (-12)\/(-16)*(-32)\/(-24). Solve q*z = 3*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8994*i**6 + 47*i**4 + 50*i**3 + 49*i**2 + 425*i - 64?\nAnswer: -1079280*i**3 + 1128*i + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3047 or 33525\/11?\nAnswer: 33525\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 42. Calculate the remainder when 27 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -11*q**2 + 8*q + 8. Let l(o) = 5*o + 5 + 2*o**2 - 4*o**2 + o**2 - 6*o**2. Calculate -5*f(d) + 8*l(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2. Let l(d) be the third derivative of -3*d**2 + 0 - 11*d - 7\/30*d**5 + 0*d**4 - 2\/3*d**3. Give h(l(r)).\nAnswer: -196*r**4 - 112*r**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 3 - 2 + 4 + 1.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002909534 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -22, 0.504, -0.4?\nAnswer: 0.504","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 59.516, 57, -2?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/23, 0.3, 52?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (64\/6)\/(-2)*-3. Suppose 3*m - 2*m + 18 = 0. Let p = -10 - m. What is the greatest common divisor of p and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3284468923 to the nearest integer?\nAnswer: 57310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 + 11*d + 124. Let s be n(0). Suppose -y + 5 = 0, -5*y + s = i - 88. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:58 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/15992 and -29\/191840032.\nAnswer: 191840032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*g**2 - 250595*g + 62650.\nAnswer: -5*(g + 12530)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 - -76. Solve 3*i = -i + 5*a + 19, h*a + 2 = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 56\/16 + 2\/4. Let b(f) = 2*f**2 - 2*f + 3. Let j(g) = -2*g**2 + 3*g - 3. Let x(k) = 4*b(k) + 3*j(k). Is x(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830*j - 765 = 5938 + 3257 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + 460.7.\nAnswer: 509.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-8)*(-8)\/(-5). Let m(n) = 14*n. Is m(o) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*w + 5*w - 25 = 0, -2*q + 3*w = -21. Let v = -34 + 64. What is the highest common divisor of v and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k**2*y**2 + 161*k**2*y + 18935*k*y**2 + 3*k - 51*y wrt y.\nAnswer: -10*k**2 + 37870*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43629130 or 43629134?\nAnswer: 43629130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -1\/2*t**4 + 40326*t - 19309\/2*t**2 - 40898 - 141*t**3 = 0.\nAnswer: -143, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/7, 27\/101, 0.1, 41, 2\/3.\nAnswer: -3, -3\/7, 0.1, 27\/101, 2\/3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + 4*q - 5. Let t be n(5). Suppose l - t = 20. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2435, 2478, 2571, 2732, 2979, 3330?\n\"Answer: 3*l**3 + 7*l**2 + l + 2424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -710840 to the nearest ten thousand.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/5 and 39\/15142?\nAnswer: 75710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113 + -47. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43197042 divided by -94?\nAnswer: 459543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -11. Let q(z) = z**3 - 6*z**2 + 7*z - 10. Let i be q(5). Let s(b) = -b**2 + b + 10. Let t be s(i). Calculate the highest common divisor of t and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4 + 6 + 11*z to d + o*z and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5561*a + 5621*a = -1680 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 4*n**2 - 5*n + 3. Let j be u(5). Suppose j = 3*i - 27. What is the remainder when 3\/(-2) + 228\/8 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19446872 and 767.\nAnswer: 252809336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4700 or -4710?\nAnswer: -4710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.18 and -62.6?\nAnswer: 11.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000464767 rounded to seven decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -635 - -4.\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-64) + (621\/(-12))\/(-3). Let -3*j - 14*j + 22*j**2 + 2 + 10 - l*j = 0. Calculate j.\nAnswer: 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -256 (b) 2 (c) 0.855 (d) 1 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -306 + 328. Suppose -z*s + 119 = 75. Solve -s*x = 2, -5*v + 5*x - 2 = 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -767351\/11 at least as big as -69760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15631 - 3552?\nAnswer: -22513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*g**2 + 117 + 14*g**2 + 98 + 75 as c + w*g + k*g**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 8:51 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-2))\/((-1973)\/394 + 5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 3:48 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 1. Let h(q) be the second derivative of -q**3\/6 - q. Suppose -p - 3*p - 4 = 0. Let r = -24 + 21. Calculate p*z(f) + r*h(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 2*u**2 - 4*u - 2. Let s = -17 - -14. Let x be g(s). Solve -d - 1 = x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2 (b) 53.94 (c) 274\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*t**3 + 44*t**2 - 44*t**2)*(1 - 1 - t) + (-2 + 3 + 0)*(-314*t**4 - 37*t**4 - 58*t**4) as r + h*t**3 + s*t**4 + b*t + v*t**2 and give s.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 942514 divided by -942514.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/22 + (-378)\/(-99) + 1. Let s(n) be the first derivative of -n**2\/2 + 3*n - 1. Let t(d) = 3*d - 5. Give o*s(c) + 3*t(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -0.22, -0.1, 5.\nAnswer: -0.22, -0.1, 0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5432149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2 - 2043876*c = 0. Calculate c.\nAnswer: 0, 1021938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -271*g**3 - 7*g**2 - 2*g + 5. Give p(-1).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -3*u**5\/20 + u**2\/2 + 5*u. What is the first derivative of a(t) wrt t?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 256, 902, 2160, 4234, 7328?\nAnswer: 11646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 228802685 to the power of 1\/3, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - (10 + -3)) + 34 + -53 + 29\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 104\/(-570) - (-5 + (-48)\/(-10)). Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.0075 + 0.0075. Which is the nearest to p? (a) 5 (b) -2 (c) -0.3 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**2 + 6*m - 3. Let x(z) be the third derivative of z**5\/4 + 17*z**4\/24 - 4*z**3\/3 + 100*z**2. What is -6*x(n) + 17*y(n)?\nAnswer: -5*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8441 - 0.4441. Which is the nearest to 0.1? (a) -0.1 (b) j (c) -24\/13 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84632 (base 9) to base 11\nAnswer: 39016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5998 and 1617513649?\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 5:51 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 - -70.671. Let s = 0.129 + c. Round s to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 12) in base 9?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q - 30. Does 3 divide h(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 46. Let p be t(28). Let w(d) = d**2 + 4*d + 4. Let v be w(-4). Suppose -v*a = -10 + p. Let s(z) = z**3 + 3*z**2 + z - 2. What is s(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) -3 (c) 0.4037\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 332312411 (base 5) to base 15\nAnswer: 1d8edb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*f - 794, f - 3*w + 267 = -0*w. Let i = f + 394. Suppose -4*z - i = -9*z. Solve -5*m - 1 + z = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffgogfogg. What is prob of sequence fff?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 828 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 6*b - 8. Let q(f) = 5*f - 5. Let p(o) = 8*o - 9. Let r(k) = -3*p(k) + 5*q(k). Let j(v) = -2*r(v) - 2*t(v). Factor j(n).\nAnswer: 2*(n + 2)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**3 - 2*u**2 + 4*u - 5. Let r be j(-4). Let k = -2935\/11 + r. Let q(c) = 16*c - 19. Let h be q(1). What is the closest to 0 in k, h, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13310, -13307, -13302, -13295?\nAnswer: -13286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.5 and 3.9.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9169896*w**2 + 2060124*w wrt w.\nAnswer: -18339792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8277419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/144 and -1\/22.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -265\/28 greater than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 9\/4 (b) 3\/8 (c) 1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*q - 180*q - 2288 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6627 - 6631. Which is the fourth biggest value? (a) -1 (b) 30 (c) h (d) 0.018\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-30)*-3)\/(3\/2955) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23167639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8394, 33306, 74830, 132972, 207738?\nAnswer: 299134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305 - 235 = -21*k + 66*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, n: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*c + 24 = 0, 5 = -4*p + 3*c - 15. Is 14753 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7196 or -7193?\nAnswer: -7196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.777331 + 0.777. Round g to five decimal places.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1480.4548 to the nearest integer.\nAnswer: -1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 3:38 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjf when three letters picked without replacement from {f: 6, m: 1, j: 3, l: 1, r: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3799306 times 0.23\nAnswer: -0.087384038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 93802308*d + 53869450 wrt d.\nAnswer: 93802308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1094.44 - 1092.12602. Round w to two decimal places.\nAnswer: 2.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2589140, -5178290, -7767440, -10356590, -12945740, -15534890?\nAnswer: -18124040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 7) to base 10\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 28*n = 112 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24446963.\nAnswer: 167, 146389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11345 - 28*o + 12*o + 11345 + 5*o + 8*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*c - 5 - 21*c - 21*c)*(-35*c + 4*c - 87*c) + 5*c**2 - 3*c**2 - c**2.\nAnswer: 1535*c**2 + 590*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62670 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -355 divided by -71\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -113*s**2 + 5*s. Let h(q) = 4012*q**2 - 177*q. What is 177*d(o) + 5*h(o)?\nAnswer: 59*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.42 in 1, -2, 4\/1895, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (890\/712)\/(68\/(-12) - -4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 7:09 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4326432785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14448543281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r**2. Let l(h) = -35*h - 37*h + 104*h - 34*h. Calculate f(l(z)).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 4. Let d be h(-3). Suppose 0 = d*i - 130 + 18. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uub when three letters picked without replacement from ubbbbbuuub?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*u + 30. Suppose u*v = 6*v - 5. Let t(j) = -j**3 - 5*j**2 - 2*j - 6. Calculate t(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1611*n + 503*n - 34431 - 10488 = 665*n for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41131 in 4, -5, -1, -4\/7, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 110, 307, 678, 1277, 2158, 3375, 4982?\nAnswer: 7033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 4*t**2 - 762*t - 524. What is c(26)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0132620165 rounded to five dps?\nAnswer: 0.01326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, -7.2, 1\/2, -4\/3, 111, 0.1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**4\/4 + 17*b**3\/3 + 17*b**2\/2 + 2*b - 11. Let l be t(-16). Does 25 divide 4\/l - (-6060)\/(-126)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-29))\/(944\/(-27376)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 2:42 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 14, -33\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95.1182969498 - 0.8817018302. Let l = -95.953 + -0.047. Let d = l - o. Round d to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -21?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -469087, -938177, -1407267, -1876357, -2345447?\n\"Answer: -469090*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 1\/80*q**5 + q**2 + 0*q**4 + 0*q - 1\/168*q**7 - 1\/240*q**6 + 1\/336*q**8 + 0 + 0*q**3. Factor w(x).\nAnswer: x**2*(x - 1)**2*(4*x + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 h when three letters picked without replacement from {r: 2, h: 2, m: 1, b: 5, k: 6}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2 = -5*j - 11, i = -3*j - 1. Suppose -4*f + 12 = i*u + 4, -2*f + u = -8. Solve 0 = f*z - 3 - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 6 = -4*y. Let w(t) = -t**2 - 12*t - 12. Let r be w(y). Put -3, 3, r in ascending order.\nAnswer: -3, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f, b - 15 = -2*b - 2*b - 4*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -725 or -722?\nAnswer: -722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 <= 63\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 3*p - 4*p + 2*f, -4*p - 4*f = -396. Let l = p - 50. What is the highest common divisor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 27*g**5\/4 - 657*g**4\/2 - 61539*g**3\/4 - 9597*g**2\/2 + 13719*g + 6786 = 0.\nAnswer: -29, -2\/3, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*g**2*q - 129989*g**2 - 2006*q**3 + 6*q**2 wrt q?\nAnswer: -3*g**2 - 6018*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 284770.56 months in centuries?\nAnswer: 237.3088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (32 - -56 - 69 - (-120 + -3)) + -24\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4*n + 48 = 0, -921856*n + 64 = -5*s - 921860*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -19. Let i(y) = -y**3 + 12*y**2 - 11*y + 16. What is the units digit of i(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3813425654.\nAnswer: 2, 1906712827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2 + 3) - -3. Let w = 257 - 509\/2. Which is the third smallest value? (a) 2\/15 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/33 and 56\/42 + ((-1397)\/36)\/11.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-9 + 16 - 12)*(-1 - 2 + 1)*(-3 + 6 - 1)*(-u + 4*u - 5*u).\nAnswer: 40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from {w: 3, l: 5, z: 5}?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213459315?\nAnswer: 3, 5, 14230621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35230 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515 - 59 = -12*i. Let f = 40 + i. Let w be (-5)\/(-15)*(f - (3 - 1)). Solve -4*v + w*v = -8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*q + 14. Suppose -q*p - 65 = -5*p + v, 2*p + 2*v = 80. What is the remainder when 139 is divided by p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one halves of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {v: 1, i: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6120 and 576?\nAnswer: 48960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77c9 (base 16) to base 15.\nAnswer: -9145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 4*t - 169 = -3*t + 361, -5*k - 5*t = -155 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00668634 to 4 decimal places.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2549998*c - 12. Let u(i) = -i**3 + 10*i**2 + 6. Let r be u(10). Let x be z(r). What is x rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from ooogooggooo.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 160\/200 - (-40552)\/10. Let l = a + -407. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 0*l**4 + 1\/2*l**2 - 3 + 1\/3*l**3 + 0*l - 1\/30*l**5. Let w(j) be the second derivative of r(j). Differentiate w(f) wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -20*(8 + 264\/(-32)). Let l(g) be the first derivative of -v*g + 5 + 5\/3*g**3 + 0*g**2. What is the first derivative of l(k) wrt k?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1712, -3, -4, -1, -0.2 in decreasing order.\nAnswer: 1712, -0.2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*j*t**3*w**3 + 2*j*t**3*w + j*t**2 + 3*j*t*w**3 - 4*j*t*w**2 + j + 36*t**2*w - 9*w**3 wrt w?\nAnswer: 144*j*t**3 + 18*j*t - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 305, -3, 2, -17 in descending order.\nAnswer: 305, 3, 2, -3, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 525 - 887. Let n = 361 + j. Sort 1\/14, 6\/7, 4, n in increasing order.\nAnswer: n, 1\/14, 6\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 21\nAnswer: -25\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 12) in base 11?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -13. Suppose 4*q - 3*m + 20 = -8*m, -2*q - 4*m = 4. Let p be (2 - (6 + q))*6\/4. Calculate the highest common factor of f and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7091000 rounded to the nearest 100000?\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3868, -4561, -5264, -5983, -6724, -7493, -8296, -9139?\nAnswer: -10028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -118 - 0?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*o = 357, 2*m - m - 4*o = 73. Suppose -2*i - b + 17 + m = 0, 187 = 3*i - 4*b. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/3646 and -89\/146.\nAnswer: 266158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-4784)\/(-23) + 1 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70558?\nAnswer: 2, 35279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 801 + 21ab55?\nAnswer: 21b756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 - -1. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 28*d**4 - 2988*d**3 + 86912*d**2 - 422592*d + 483840 = 0.\nAnswer: 12\/7, 4, 45, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 23 + 57. Suppose 4*l - 4*h = -s, 19 - 3 = 4*h. Solve -4*c + 12 = -l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (-22 + -18 - -65).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 272.6115 - 273. Round l to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 37944.6645 and -103?\nAnswer: 38047.6645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -681 + 356. Let r = k + 324.999851. What is r rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -10 + -2 + -13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2*(1\/(-5))\/(256\/(-480)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1320739, 2641478, 3962217?\nAnswer: 5282956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 33 = -127. Let t be 277\/6 + 6\/(-36). Suppose 3*d - l = -4*q, -5*d - 29 = -5*q + t. Calculate the greatest common factor of 121 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 0. Suppose 3*r - c - 7 = 0. Find the first derivative of 2 - 3 - r*z**2 + 4*z**2 wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**5)**(-7))**(34\/5))**(7\/8) assuming h is positive.\nAnswer: h**(-2499\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3905193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2810038058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 - -0.01?\nAnswer: -1109.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -369417 - 4?\nAnswer: -369421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**3 - 16*t**2 + 63*t - 3. Let g(x) = -6*x**3 - 24*x**2 + 63*x - 3. Give -2*g(s) + 3*l(s).\nAnswer: 3*s**3 + 63*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/30 + 3*z**4\/8 + 14*z**3\/3 - 2*z**2 + 27*z. Let x be s(-4). Suppose x = q - 24. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 3*z + 2*z)*(-4 + 3 + 0)*(23*z + 85 - 85)*(1 - 1 + 9)*(-1 + 1 - 2).\nAnswer: 1242*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3445\/3 + -1159. Let n = 11 + k. Let j = 38 + -36. What is the biggest value in n, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 16*d - 4*d + 2*d - 8*d - 7.\nAnswer: (d - 1)*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a hour in minutes?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**4\/16 - 807*g**3\/2 - 1953747*g**2\/2 + 9182*g. Let c(y) = 0. Calculate y.\nAnswer: -1614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-4)\/8*13\/10*(-535)\/642?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47408657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 21*s + 38. Calculate the smallest common multiple of 48 and l(-20).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 21*a**2 + 59*a - 23. Let d be o(15). Let i = d - -489. Suppose -f - 5 = -0, -3*z = 3*f + 9. Solve 0 = z*b - 3*p - 6, -2*p + i + 2 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.644 and -3.\nAnswer: 1.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-341 - 20 - 577 + 176)*(b**4 + 0*b + 0*b) as x*b**2 + l + a*b + m*b**4 + o*b**3 and give m.\nAnswer: -762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -329 - 1499?\nAnswer: -17c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 222502?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 219\/74 at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -756 by 2.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 4*n + n)*(-2 - 2 + 6) - 2606*n - 10984*n - 3970*n - 3325*n - 4192*n.\nAnswer: -25079*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, -9, -3\/4, -3\/7, -0.3 in descending order.\nAnswer: 5, 0.2, -0.3, -3\/7, -3\/4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-2))\/((2\/1)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3 - 3*l**2 + 366*l - 360 = 0. What is l?\nAnswer: -12, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.18 - 5.18. Which is the closest to -2\/5? (a) 0.2 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, -7, 14, 53, 116, 209?\n\"Answer: c**3 + 2*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213471 (base 10) to base 8.\nAnswer: 640737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 6:54 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - 2*d**2 + 5*d)*(-1 + 1 + 2*d**2) - 4*d**4 + 6*d**4 - 34*d**4.\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*q + 325 = 5109 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuttdudutdduuut. What is prob of picking 1 t and 2 d?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 6*h - 5. Let t be w(4). Let y be (t - (2 - -2)) + 3. Suppose -y*x + 9 = -3. Calculate the remainder when 16 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5*128\/(-560))\/((-2)\/7). What is the derivative of 146 + 7*r**4 - 35*r**w + 7*r**4 wrt r?\nAnswer: -84*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 9:59 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((((sqrt(75) + (sqrt(75)*1 - sqrt(75)))*3)\/sqrt(5))\/((sqrt(640)*-1)\/sqrt(8)) + -1)**2.\nAnswer: 3*sqrt(3)\/2 + 43\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -0.7. Let q = -0.4 + r. Let y = q + 0.9. Which is the biggest value? (a) 4 (b) 0.6 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2441*a - 31*a**2 + 96*a**2 + 464*a - 36*a**2 - 30*a**2 as z*a**2 + j + h*a and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51790486 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17238, 34484, 51730, 68976, 86222, 103468?\nAnswer: 120714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 27*i**2 + 435*i - 6. Give r(-16).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 6*n**2 + 4*n - 1. Let a(f) = f**3 - 5*f**2 - 3*f + 1. Let t be 1*10\/(4 - 6). Let o(l) = t*a(l) - 4*j(l). What is o(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2*k - 4*d + 24, -3*d + 13 = k. Is (-1*322\/k)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150 + 157)*162\/42.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29181 and 1917?\nAnswer: 262629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - w + 1 = 0, -4*o - 5*w + 0 - 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, y: 3, v: 1, b: 4, g: 6, r: 1}. Give prob of sequence yy.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -3, -6, -76 in decreasing order.\nAnswer: 37, -3, -6, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t + 46*t + 1160359 - 18129918 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4262*d + 13391. What is i(-3)?\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*s + 2*s - 19*s - 24*s + 1 to g + q*s and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 91*u - 1120. Calculate p(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 19. What is r(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 2*o + 4 - 24, 4*o - 5 = -c. Suppose -4*x + 10 = -18. Is c < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/(-6) + -6)*(-4)\/5. What is the remainder when 59 is divided by (-42)\/7*(h - (-9)\/(-2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 288.2 and 0.59.\nAnswer: 288.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o - 3. Let l(k) = -3*k - 6. What is 3*l(j) - 5*t(j)?\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -483966860 by 4.\nAnswer: -120991715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97*i**2*o**4 - i**2*o - 251*i**2 wrt o?\nAnswer: -388*i**2*o**3 - i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 72\/(-72)*(-2)\/(-8). What is the closest to 1\/4 in -80, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 39. Let h(i) = f - 14 - 21 - 8*i - 2. List the prime factors of h(-10).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 9 + 18 - 11*x.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0. Let r = -0.16 + p. Let s = 0.14 - r. Which is bigger: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c - 30. Suppose -2*r - 42 = 4*d, 3*d + 0 = 5*r + 1. What are the prime factors of m(d)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*w - 9*w + 437002. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 54. Put 1, 5, w in descending order.\nAnswer: 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/6)*l**(-11))\/(((l\/l**(-1\/10))\/l)\/(l*((l\/(l*l*l**3*l))\/l)\/l)) assuming l is positive.\nAnswer: l**(-259\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2977.\nAnswer: 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 5 + 5)*(-10*d**3 - d**3 - 8*d**3) - 4*d + 2*d**3 + 4*d)*(-2*d + 3*d + 0*d) as p*d + u*d**2 + f + j*d**3 + c*d**4 and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55.3 + 59. Let s = -0.3 - j. Let q = 89\/39 + -34\/13. What is the nearest to q in -1, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 565040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2238234*q**3 - 11021637*q**2 wrt q?\nAnswer: 13429404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -18) + -13 + (-15 - -1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221886 and 378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1052081 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, 0.08, 24.8, 5\/4, -5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 71125246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*7*2\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 590*v**2\/11 + 19626*v\/11 + 9072.\nAnswer: 2*(v + 27)*(295*v + 1848)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-23)\/a**(-9\/4))\/(a*(a\/(a\/((a**(-14\/9)*a)\/a*a)))\/a*a*a**(-12)) assuming a is positive.\nAnswer: a**(-331\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 832 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2*p + 102, 3 - 66 = -s - 2*p. Suppose -5*d + 23 + 14 = -4*t, 5*d + 5*t = s. What is the highest common factor of 63 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20102111001020 (base 3) to base 12\nAnswer: 11880b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7106, -14141, -20782, -26831, -32090, -36361, -39446, -41147?\n\"Answer: 33*v**3 - v**2 - 7263*v + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10 = -2*s, 0*s + 3*s + 5 = -y. Let q be (-8)\/6 - 4\/6. Are q and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 7*k + 5 - 1.\nAnswer: -7*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -6. Let g(b) = b + 14. What is g(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/sqrt(3)*3 - (3 + (sqrt(110)*-2 + sqrt(110))\/sqrt(10)).\nAnswer: -3 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + w + 156. Let o(a) = -a**2 - 7*a + 8. Let n be o(-8). Is 39 a factor of b(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 85*q + 413. Let c be v(-5). Let l be 0 - -13*(0 - -1). Let s = c + l. Solve -s = -2*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttmfmttf. Give prob of picking 3 t.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 1 = 3*o - l, -5*o - 10 = -3*l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -406411 (base 11) in base 6?\nAnswer: -21553410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -3. Suppose v = -5*k + 3*j, -3 - 11 = 2*k - 5*j. Let f = -1 + 5. Sort 5, f, k.\nAnswer: k, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.46 (c) 3\/2 (d) -144 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2029734089173 and 0.054.\nAnswer: 2029734089173.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 - 15*o + 30. Let f be d(5). Let n = 3 + -2. Solve -q + f - n = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 497 = 7*x - 5*x, -5*p = -4*x + 919. Let s = -156 + x. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-3))\/((-2)\/(-3)). Let q = 2 - k. Suppose -d - 3*o = -6, d = q*o + 2 + 10. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -635*u**3 + 2*u**2 - 2*u + 641*u**3 + 4 + 3*u as f*u + a*u**3 + h + l*u**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 945193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40074, 79310, 117702, 155250, 191954, 227814?\nAnswer: 262830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j + 3. Let d be k(-1). Suppose d*l - 5*s = 5*l - 275, 165 = 3*l - 4*s. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.2, 2\/29, -9\/2, -1.3, 3?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, z: 3, j: 5, r: 10}. What is prob of sequence zv?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 + -115. Let q = k - -38.999986. Round q to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*c + 329*c - 157*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**2 - 36*v = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -39, -34 in descending order.\nAnswer: 3, -34, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -471171954?\nAnswer: -471171954.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-85)*(-480)\/192?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4*1)\/(4\/16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g = -20*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/5038?\nAnswer: -1\/5038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3. Let w(d) = -10*d + 13. Let f(a) = -7*a + 9. Let l(x) = -7*f(x) + 5*w(x). Determine -3*l(y) + 2*z(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 232, 332, 414, 472, 500?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9817, -20511, -31191, -41851, -52485, -63087, -73651, -84171?\n\"Answer: t**3 + t**2 - 10704*t + 885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27746*l**3 - 38407*l?\nAnswer: 166476*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 130 (b) -0.22 (c) -1 (d) -1\/3 (e) -0.7 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/63*3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*b - 20*b + 23*b)*(5 - 2 - 23).\nAnswer: 400*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 2529 = 254. Let w = 236 + k. Which is greater: 59 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 58751 and -0.3?\nAnswer: 58751.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6430?\nAnswer: 2, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-22)\/6 + 3)*-90. Suppose 4*k = k + r. Suppose -i + 261 = 5*j, 4 = 4*i + k. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*1*((-4*sqrt(2448)*-4*5)**2 + 0).\nAnswer: -47001602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.36 + -0.36. Suppose 3*g - 4*g = -5*t + 22, -g - 2*t + 13 = 0. What is the nearest to -1 in h, g, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4802621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 84, 368, 870, 1590, 2528, 3684, 5058?\n\"Answer: 109*c**2 - 43*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 78 and 227.857276955.\nAnswer: 305.857276955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2513, -2332, -2169, -2018, -1873, -1728, -1577?\n\"Answer: z**3 - 15*z**2 + 219*z - 2718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87580 - 87603.9854. Let y = -24 - a. Round y to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d*((d*d**(-1\/3)\/d)\/d)\/d)*d))\/d)\/d**4*((d**(-4\/11)\/d)\/d*d)\/(d*d*d**(-1\/8)*d) assuming d is positive.\nAnswer: d**(-3319\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 5*t**2 + 2*t - 4. Let v be d(5). Find the second derivative of 5*f + 6*f + 6*f + v*f**3 - 12*f wrt f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(34\/((-3400)\/(-2325)))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2299*x + 367813 = 298843 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 5 - 8\/5*n**2 - 32\/5*n - 2\/15*n**3. Factor b(m).\nAnswer: -2*(m + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 17832.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7240\/(-5792))\/((-5)\/(-4)))\/(0 + 1)*-131?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*((-512)\/224 + 2\/7). Solve 0 = -3*l - o*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-30)*((-27)\/2)\/(-9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201211100 - 1001221?\nAnswer: 200202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421586*r - 421566*r = 180 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/8*10\/6)\/(195880\/235056)?\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -557 at most as big as -6134\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2232330 (base 5) in base 4?\nAnswer: -21230203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2538246204 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 810186?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 18 = 2*o, 7994*o + 5*z = 7995*o + 2 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00214555389 to 7 dps.\nAnswer: 0.0021456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6077151 to the nearest integer?\nAnswer: 2465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4008950?\nAnswer: 2, 5, 11, 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + n = 0. Let k be 5\/2 - (-2)\/4. Put n, 2, k in ascending order.\nAnswer: n, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4833, -9679, -14535, -19401?\nAnswer: -24277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86040 is divided by 2089.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51170849?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 519 and 48613?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-222)\/148)\/((-3)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085042 > 27765385\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 84\/56495899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3526 and 3688?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1216584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 45738 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32670613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9964 and 752?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*l**2 + 3*l**3 + 23*l**2 - 14*l + l**4 - 3*l**4 + 0*l in the form s*l + k*l**3 + p + j*l**4 + b*l**2 and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 5:13 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 11 + 7. Suppose -j*f + 74 = -4*f. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttttltttl.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*n - 96 = 0. Suppose -2*o - 116 = -5*o - 5*t, -5*t = -2*o + 69. What is the remainder when o is divided by 8\/n - 74\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -340377 (base 9) to base 2.\nAnswer: -110001101110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - -39. Let f be (-5 - -4)*(-5 - -3 - -631). What is the remainder when z is divided by 8\/(-2)*f\/74?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 7*v**2 + 6*v + 4. Let c be y(-6). Let w be (-11 + 8)*c\/3. Put 5, -3, w in ascending order.\nAnswer: w, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4268 - 4265. Solve 5 = 3*t + 17, a*t = -4*b - 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 552 - 1081\/2. Calculate the common denominator of -85\/26 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 1:59 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3825*o**2. Let f(j) = -538*j. Determine f(m(p)).\nAnswer: 2057850*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-90)*10\/((-4)\/2))\/14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*(sqrt(91)*-1 - sqrt(91)))\/(sqrt(21)\/sqrt(3)*5*5).\nAnswer: -12*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 3, f: 1, v: 1, x: 1}. Give prob of sequence qf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4785 - 4633 = -4*h + 4*z, h - 2*z = 5*z - 284 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 317312506 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - 6*(sqrt(204) + (-2*sqrt(204) - sqrt(204)))) + sqrt(204) - 1*sqrt(204)*-6)*-1)\/(6*sqrt(12)*-6 + sqrt(1200)*1).\nAnswer: 10*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5384.023 times -1.8\nAnswer: -9691.2414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (700\/(-322))\/(-50)*1?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 12 = -11*y. Suppose -2*o - 2 = -y. What is the lowest common multiple of o and -1 - -3 - 2 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.092, 0.4, -0.1, 0.1, -1, 0 in descending order.\nAnswer: 0.4, 0.1, 0.092, 0, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - p + 6 + 13 + (-2*p - 2*p + 2*p)*(2 + 1 - 2).\nAnswer: -3*p + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 1. Suppose -4*c = c - 3*q + 5, -18 = -4*c - 2*q. Suppose 0 = -4*o - 6 + c. Let d(g) = 2*g - 9. Let j(l) = o*d(l) - f(l). Calculate j(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 404 and 367034.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25765 = -5*a + u, -7*u + 10*u + 20612 = 4*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -43, 4, -60, -404 in increasing order.\nAnswer: -404, -60, -43, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1404 - 1368. Calculate the greatest common divisor of b and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 0 + 0*b + 1\/10*b**5 - 1\/8*b**4 + 7*b**2 + 0*b**3. What is the second derivative of y(r) wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27478 - -1.\nAnswer: -27477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-6722)\/(-21) + 2. Let i = j + -324. Let t = 0.3 - 0.1. Which is the closest to 0? (a) i (b) -1\/11 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -307*-284.2\nAnswer: 87249.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 4.1, 444 in decreasing order.\nAnswer: 444, 4.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from {d: 3, c: 4, k: 7, v: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 3943566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**3 - 121*j**2 + 2*j + 422. What is c(-20)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(2\/6*(-78)\/52). Suppose -2*x = -3*x - 2. Let w be 12\/(x\/(1 + -9)). Calculate the highest common divisor of w and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8 + 1 + 1 + 5*u + 1 - u**2. Let j be f(6). Suppose 4*h = j*a + 19, -3*a + 0 = h + 8. Is h smaller than 1\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 6) to base 12.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 15 - 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**3 + 8*y**2 - 152*y - 2171. Let d(q) = 42*q**3 + 58*q**2 - 1058*q - 15196. Let z(x) = -29*a(x) + 4*d(x). Differentiate z(b) wrt b.\nAnswer: -18*b**2 + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2647365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -74*k**2 + 167*k + 27. Determine b(-1).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 111 (b) 0.1 (c) -2\/63 (d) -1 (e) 5\/2 (f) -97 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 9*o**2 + 10*o + 4. Suppose 7*l = 113 - 43. Let p be b(l). Solve 4*q - 3*g + p = -4*g, 4 = -4*q - 3*g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -26)\/(3900\/(-4680)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -79*l + 42 - 42 + 88*l + 140. Let o be a(-15). Calculate the highest common divisor of o and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 + 0.56. Let o(i) = i**2 - i - 208. Let l be o(-14). Let k be (l\/(-12))\/((-12)\/(-24)). Which is the closest to -2\/7? (a) k (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z + 0*z + 3*z)*(3 - 4 + 10)*(10*z - 24*z - 36*z + (-4*z + 3*z + 2*z)*(2 + 2 - 2)) + 3*z**2 - 3*z**2 - z**2 in the form g + t*z + j*z**2 and give j.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1. Let t(q) = q**2 + 3*q - 8. Let f be t(-4). Let w be f\/(-16)*0 + 3\/(-5). Which is the second biggest value? (a) w (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -280\/17 in -1\/2, -5, 6\/119, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 24. Sort -4, -2, s in ascending order.\nAnswer: -4, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11165 = -15*l - 20*l. Let x = l + -310. Solve 4*w + 3 = 3*u - 18, x = -5*w - 2*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 56.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 14. Let i = 34 + -33.9. Which is the second biggest value? (a) f (b) -1\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 7*v + 2. Let r be z(8). Suppose 0 = 4*l + r - 230. Suppose 4 = 3*a - 2*i - 33, 2*i + l = 5*a. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-504)\/1372)\/((-9)\/((-126)\/4))\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -21. Suppose 2*o + q*o - 265 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-50) + 22\/5. Suppose -2*d + 18 = -3*l, 2*l = -d - 1 - s. Sort -1, 3, l.\nAnswer: l, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3091 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1619699146.\nAnswer: 2, 13, 23, 43, 62989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37264\/203 or 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 9*n**3 + 528*n**2 - 24483*n - 16554 = 0.\nAnswer: -89, -2\/3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 11 = -7*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5105729884?\nAnswer: 2, 17, 31, 2422073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-6*2*sqrt(78))\/((sqrt(36)\/sqrt(6) + sqrt(6))*3) - (-5 + 4*((sqrt(1573)*-3)**2 + sqrt(1573)))).\nAnswer: 46*sqrt(13) + 56623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -298568250*w**2 + 63226083*w - 1 wrt w.\nAnswer: -597136500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 27*x**3 + 5*x**2 - 7*x - 5. Let r(c) = 14*c**3 + 2*c**2 - 3*c - 2. Give 2*d(v) - 5*r(v).\nAnswer: -16*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b = 18*b + 26. Solve -4*n - 5*p + 8 = 0, -n = -p + 3*p - b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 12 + 26 + (7 - 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s**3 - 187132*s**2 + 486387256*s - 108076816 = 0 for s.\nAnswer: 2\/9, 5198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - 2*z**2 + 1 - 15*z**4 + 6*z**4 + 8*z**4 as j*z**4 + y*z + d*z**2 + h + r*z**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 1, -2\/19, 2\/5, -3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-3 - (3 - 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10*(-16)\/400. Let i be ((-226)\/1000)\/((-6)\/(-4)). Let o = i + z. Which is the nearest to -1? (a) 0.2 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 - 27\/4. Let n(r) = -4*r + 10. Is n(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3446? (a) 1 (b) 0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.5 + -12. Let z = 0.05 + 0.35. Which is the nearest to z? (a) 0.4 (b) -2\/11 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*u + 22, 3*m = 4*u - u - 6. Suppose -m - 13 = -3*s, 3*q - s = 13. Let h be q - (0 + 2 + -2). Solve 0*l = -2*l - h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17696 or 17793?\nAnswer: 17793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 1)*(3 - 8 + 10) + (3 - 4 + 3)*(-1 + 5 - 2) + 5 - 2 - 5)*(-s - 3*s - 1619*s**2 + 1616*s**2 - 3 + (2*s - 6*s + s)*(-5*s - 2*s + 5*s)).\nAnswer: -9*s**2 + 12*s + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(3\/(72\/(-104)))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135.2 + -136. What is the fourth biggest value in 0, -0.1, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*m**2 + 45\/2*m + 72.\nAnswer: -(m - 48)*(m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55610?\nAnswer: 2, 5, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5466.\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/(-54) - (-1)\/3. Let c = -5\/3 + 4\/3. What is the second biggest value in 0.5, c, -5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.076 - -0.476. Which is the third biggest value? (a) 0.8 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 9577 = 17*z - 5639. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 29*z - 4287, -5*u = 5*z - 2608 - 2782. What is the remainder when u is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 323*j**2 - 19*j - 32. What is the units digit of w(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -3 (c) 2\/7 (d) 3.331\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*i + 2, x + i = -4*x + 1. Suppose -12*w - j = -11*w - 9, 0 = 4*j - 16. What is the nearest to 0.2 in w, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 351 and 468?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 817936, 1635861, 2453774, 3271669, 4089540?\nAnswer: 4907381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 greater than 525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 15, 1, 4, 7 in descending order.\nAnswer: 15, 7, 4, 1, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17937 - 16610. Calculate the remainder when r is divided by 121.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -914 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*m**3*x*z - 15*m**3*z + 121*m**2*x*z - 9266*z wrt x.\nAnswer: 34*m**3*z + 121*m**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 2)*(0*v + 5*v - 3*v + (-4*v + 3*v + 10*v)*(2 - 1 + 2)) as y + n*v and give n.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 2*w**3\/3 + 2*w**2 - 3. Let f(k) = -k - 10. Let y be f(-7). Let h be g(y). Calculate the highest common divisor of h and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/10 (b) 1\/4 (c) 0.4 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2*(3\/294)\/(46\/(-92))\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/3124 or 1?\nAnswer: -3\/3124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/9)\/7*12 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 - -74. What is the least common multiple of 38 and u?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 - 4 + 3 + 5 - 254*m + 252*m as n*m**2 + p*m + a and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**2 - 81*o - 84 = 0.\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3111)\/(-6222)*-1*(-4)\/(-106).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -10. Suppose -t = 5*w, -2*a + w + w = -2. Suppose a = 3*d + 2*j - 11, 3*d + 3*j - 6 = 0. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*-1 - (1 - 5). Let c(v) = -2*v - 1. Let s(d) = d. Let i(g) = l*s(g) + c(g). What is i(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -372871*u**3 - 3 + 1 + 372870*u**3 - u**4 - u**4 - 20*u to y*u**3 + f + z*u**2 + t*u + p*u**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 8) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -94*f - 3258. Calculate the remainder when 403 is divided by z(-36).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from eeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 l, and 1 f when three letters picked without replacement from ywnlf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 867 - 866.5. What is the closest to -6 in j, -0.03, 0.3, 1\/6?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 16*h**2 - 11*h. Let a(w) = -w**3 + w**2 - w. Let i(y) = -a(y) + m(y). Find the second derivative of i(c) wrt c.\nAnswer: 12*c - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*j - 40043 = 386*j + 51*j + 627*j for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.9 (b) -148 (c) 0.2 (d) 941 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**4\/4 + y + 2. Let t(c) be the first derivative of s(c). Let h(f) = 2*f**2. What is t(h(q))?\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/5 - 1236*a**3 + 1038292*a**2\/5 - 13471056*a\/5 + 4567680 = 0. What is a?\nAnswer: -6344, 2, 12, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9273894 - -23071301. Suppose -24002581 = -2*x + q. Suppose -3*m + 0*d + 3*d = x, 0 = -3*m - 2*d - 18900004. Round m to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 761 = -5*o, o + 3078 = 4*u + 4*o. Let j be 15941\/(-38) + 4\/(-8). What is the common denominator of u\/j + 12\/16 and -34\/3?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/(20\/115*(-41)\/1312).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17819 is divided by 134.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -112.7 bigger than -2\/317941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 382845 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20320130111 (base 4) to base 2.\nAnswer: 1000111000011100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -33*(-8)\/12 - 4 and 24\/(-16)*40\/(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/35*(-21850)\/58995.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 288\/7 (c) -0.6 (d) -145 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 32.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13531 divided by -264?\nAnswer: -13531\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, r: 1, h: 2, v: 4, d: 2, m: 2}. Give prob of sequence hdvr.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -295\/6 in decreasing order.\nAnswer: -2, -6, -295\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 - 4*c**3 - 3*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-15)*(-435)\/145\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2\/71, -5, 145.9, 0.1 in decreasing order.\nAnswer: 145.9, 0.1, -2\/71, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (21 - 1) - (1 - 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/6*(-30)\/(-4) is divided by (2\/(-4))\/((-1)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4 take away -64696963825?\nAnswer: 64696963831.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5319, 5654, 5989, 6324?\nAnswer: 6659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 281*d**4\/2 - 12637*d**2\/2 + 2723*d - 2. What is the derivative of t(k) wrt k?\nAnswer: 3372*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 46 = -3*b + 34, -3*b = 4*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 140154977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 - t**4 - t**3 + t**2.\nAnswer: t**2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -26*b - 105. Determine w(-9).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/15)\/(3\/795). Let w = a - -304. Let m = 15 + w. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) 0.1 (c) -1\/41 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118519 is divided by 2469.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r = 15*r + 4932. Calculate the remainder when r is divided by 65.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14904 divided by -54\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -188 + 194 - ((-1 - -1) + 47 - -5)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*x - 20*x - 3*x**3)*(x**2 - 3*x**2 + 0*x**2) + x**5 + 2*x**5 - 2*x**5.\nAnswer: 7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*n + 20 = 0, -4*n = -2*n. Let z(f) = f**3 - 8*f**2 - 23*f + 30. Let h be z(x). Solve -q + 6*q + 2*r - 18 = h, -2*q = -r - 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200545012 (base 6) to base 16.\nAnswer: 33f260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 14, -0.01, 3, 1, 22\/5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 52920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-60)*9\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 6 = 2*k + 2*n, 3*n - 9 = 0. Suppose -2*x + 6*x - 12 = k. Let v be 0 - (1 + -1*1). Solve 0*y + y - x = v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181\/5, 2, -7, -1.\nAnswer: -181\/5, -7, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r**2 + 2*r - 2. Let d(b) = -190*b**2 + 55*b - 55. Let h(f) = 2*d(f) - 55*i(f). Let w(t) = 2 + t - 5*t - 2. What is w(h(a))?\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 151\/212 + (-1136)\/(-30104). Put k, -14, -2\/11, 2, -2\/15 in decreasing order.\nAnswer: 2, k, -2\/15, -2\/11, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-1)\/3 - -1679. Round x to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w = -42*w + 8400. Suppose -119 - w = -9*x. Calculate the highest common factor of x and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 9 = -f, 0*d - 2*d + 2*f + 2 = 0. Suppose 5*y - 53 = d. Suppose -2*z + 7*z - 100 = 0. Solve 5*o - o = -4*l + z, -4*o + y = l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 12:01 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -370 + 371. Let z(j) be the first derivative of -3*j**5\/10 + j**4\/12 - j**3\/3 + j**2\/2 + 2*j + 2. Let d(q) be the first derivative of z(q). Give d(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509178592?\nAnswer: 2, 13, 1223987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 * -0.03\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1435913?\nAnswer: 23, 149, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/100 and -41\/300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39220733 to the power of 1\/2, to the nearest integer?\nAnswer: 6263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 598821661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 731 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 2 (b) 7 (c) 0 (d) -5 (e) -1\/1327\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 1131*y**2 - 14*y - 3. Let g(s) = -563*s**2 + 8*s + 2. Give 7*g(k) + 4*w(k).\nAnswer: 583*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 399?\nAnswer: 399.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-150) - 62\/15. Let o(i) = -4*i - 1. Suppose 3*g - c = 2*c - 3, 4*c + 8 = -2*g. Let j(x) = -3*x. Let h(t) = g*o(t) + 3*j(t). What is h(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 4*y + 2. Let a be n(-2). Factor -80*m + 156*m**a + 144 + 153*m**2 - 305*m**2.\nAnswer: 4*(m - 18)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(3 - 36*x**4 + 11936*x - 11936*x - 2*x**2).\nAnswer: -36*x**4 - 2*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/252 and 23\/6576129?\nAnswer: 26304516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/3)*m\/m**(2\/53) assuming m is positive.\nAnswer: m**(259\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 11 + -7 + -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -18600\/37 equal to -503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 34 in descending order.\nAnswer: 34, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/((-4)\/208*2) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840062 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 181661480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**6\/12 + 3*k**5\/5 - 7*k**4\/4 + 8*k**3\/3 - 9*k**2\/4 + k + 6. Let a(d) = 0. Calculate d.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16840361.\nAnswer: 691, 24371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1252 + 1271. Put 5, n, -5 in decreasing order.\nAnswer: n, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 - 3*p**2 + 2*p**2 + (-1 + 0 + 2)*(3*p - 2*p**2 - 3*p) + (-p**2 + 2*p**2 + 0*p**2)*(-1 + 1 + 2).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -39?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -u**3 + 26*u**2*z + 6*u*z - 3*u - z + 2740 wrt u.\nAnswer: -3*u**2 + 52*u*z + 6*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*m = -11825, -m = -3*k + 8*k - 59101. What is k rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*c*h**2*x + 4978*c*h*x + 2144*h**2*x**3 - h*x**3 + 335*h*x**2 wrt h?\nAnswer: -76*c*x + 4288*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**4\/42 - 5*m**3\/42 - 3*m**2\/14 + 50*m - 275. Let o(r) be the first derivative of a(r). Factor o(q).\nAnswer: (q - 3)*(2*q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90068?\nAnswer: 2, 11, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + 9)\/((1 + -2)\/2125000). What is o rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 46, -0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l + 21. Let g(h) = -h**3 - h**2 + 3*h + 5. Let i be g(0). Suppose 0 = i*m, 50 = -2*k + 7*k - 5*m. Let y be f(k). Solve 0 = -0*u - u + y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-12)\/84*-56.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*f + 4*j, -20*f + 18*f = -3*j - 24. Solve -2*k - f = -4*g - 3, 4*k - 2*g + 18 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*q + 360 = 135*q. Calculate the remainder when 238 is divided by q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9723078t in micrograms?\nAnswer: 972307800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52586832?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - (-4 + (54 - 4) - -15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, a: 3, u: 4}. What is prob of sequence zzzu?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1521*i. Let r(y) = -541*y - 41. What is s(r(z))?\nAnswer: 822861*z + 62361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 - -65. Suppose -f = s + 2 - 8, -5 = c*f - 2*s. Let r = 3 + 1. Solve r = -o - f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31542 = -2*u + 2*m, 6*m - 63056 = -4*u + 3*m. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 1 - 5)*(-2*m - 2*m**2 + 2*m)*(-3 - m**2 + 3) + 24*m**4 - 25*m**4 - 18*m**4 as l*m**4 + d*m**3 + w*m**2 + s + a*m and give l.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211078 (base 9) to base 16.\nAnswer: -1ea13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*v**2 + 0*v + 11 + 8*v - 11*v + 7 in the form r*v + q*v**2 + a and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 253 or 254?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n**2 - 2*n + 4. Let q(i) = 16*i**2 - 3*i + 7. What is -7*f(s) + 4*q(s)?\nAnswer: 8*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b - r + 456986 - 456901 = 0, 2*b + 4*r - 72 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/g**(-7)*g**(-3\/5)*(g\/g**(-2))\/g**(-3\/7) assuming g is positive.\nAnswer: g**(414\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 3:48 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 38, -2687998 in ascending order.\nAnswer: -2687998, -1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*s - 4*a + 50 = 153*s, 7*s - 5*a + 76 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -414 or -417?\nAnswer: -417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -42 + g**3 + 9 - g**2 - 7*g + 16 + 12. Let p be h(-2). Let c be (p + -5)*8\/(-32). Solve 4*k - c*t = -0*t - 8, 5*t - 8 = 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 17*v + 2*q + 6600, 5*q = 2*v - 4389. What is the remainder when v is divided by 69?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 3. Let s(t) be the third derivative of t**4\/12 - 2*t**3\/3 - 18*t**2 - 34*t. Let v be (1\/2*-6)\/(-1). Calculate v*x(p) + 2*s(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 486*f**2 + 0 - 697*f**2.\nAnswer: -211*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/10 of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 9*j = 13*j + 4, -32 = -3*y - 5*j. Let g(d) be the second derivative of -d**5\/20 + d**3\/6 + d**2 + 6*d. Let a be g(0). Solve a*v = -2 + y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000996 to six dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65655738.\nAnswer: 2, 3, 1215847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 147 = 2*a + 99, 5*a + 3354566*f - 3354568*f = -164 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-23\/3)\/l**(-16)*(l\/(l**20*l))\/l**22 assuming l is positive.\nAnswer: l**(-101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2 + 1, -37 = 2*b - 5*r. Let k be 3\/(-9) + b\/(-3). Solve 5*o - 37 = 3*j, -8*o = -k*j - 3*o - 45 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 4. Let w be ((-16)\/4)\/(-1 - 1). Let c(i) = 3*i**2 - 4*i**2 - 5 + w*i**2 - i + 4*i. Determine c(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 19547, -2, -9, 17 in increasing order.\nAnswer: -9, -2, 1, 17, 19547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*p + 5*n - 1, 2 = p - 3*n. Let q be (-14 + 7 - p)\/(3\/(-214)). List the prime factors of (q\/(-1))\/(26\/13).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 992751.361 to the nearest one hundred.\nAnswer: 992800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -63*y**3 - 5*y**2 - 4*y - 5. Let j(f) = -f**3 - f**2 - f - 1. Calculate -5*j(d) + q(d).\nAnswer: -58*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)\/(r*r**(-5)))\/((r\/r**(-4))\/(r**(2\/7)*r)) assuming r is positive.\nAnswer: r**(13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1*3*(-255)\/255\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-88)\/55)\/4)\/((-1)\/(-5)). Sort n, 4, 7 in increasing order.\nAnswer: n, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*q**2 - 772*q - 6 + 772*q as f*q + t*q**2 + z and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-200)\/12)\/5 + (-4)\/6. Let j(m) = m**3 + 3*m**2 - 6*m - 4. Let k be j(v). Suppose -k*g + g + 117 = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkeeende. Give prob of sequence nen.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 10)\/((240\/10)\/(-12)). Sort z, 4, -2 in increasing order.\nAnswer: -2, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/4)\/v)**(-2))**42*(v**(-11)\/(v\/(v\/(v**9*v))*v))**(-17\/4) assuming v is positive.\nAnswer: v**(397\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22581 (base 12) in base 7?\nAnswer: -250240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 - 59 = 7*x. Suppose -x*j + 4*j - 2 = 0. Solve -a + j + 2 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14901, 33044, 63289, 105642, 160109?\nAnswer: 226696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 49 = 3*h + 2, 0 = 2*h + 2. Suppose 2*z = z + g. Solve 36 = -5*c - 3*j - j, -5*c - j = z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*t - 764, -3*f - f + 764 = 5*t. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j - 9. Let u be f(-6). Suppose -5 = -4*l + u. Solve -4 = l*v - 3*v + t, 0 = -t - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -176 - -176.188. Let k = 0.012 + d. Let q = 1.95 - -0.05. What is the third biggest value in q, 2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30182.37 - -30057. Let m = f + 129. Let x = -3.6300151 + m. Round x to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecco when four letters picked without replacement from orrrrrcroeceorr?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.51 - 1.66. Let f = k - 0.75. What is f rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -3, -0.2, -454\/3, 0.1257?\nAnswer: 0.1257","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 3, n: 1, w: 1, i: 2, k: 4}. What is prob of picking 1 t and 1 o?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28805 + -28944.73. Let w = 141 + o. Let t = -1.270149 + w. Round t to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/53)*m*m)\/m*(m*m\/(m*(m*m*m\/((m**(-6\/19)*m*m)\/m)*m)\/m*m)*m*m)\/m)\/((m*m**(-26)*m)\/m*m**13*m*m) assuming m is positive.\nAnswer: m**(10778\/1007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -90*j - 82*j + 265*j - 84*j + 17. Let u(h) = -3*h - 6. Let f = -1 - -7. What is f*i(l) + 17*u(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -962.3 + -0.5\nAnswer: -962.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 5*z + 75, -884*z - 45 = 2*m - 879*z for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y + 22. Determine s(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/15)\/2*((-121730)\/111)\/(-47).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1379 - 1316. What is the remainder when 267 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6189438.\nAnswer: 2, 3, 23, 44851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14153, -113240, -382199, -905966, -1769477?\nAnswer: -3057668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19135 + 497577\/26. Calculate the common denominator of 27\/10 and z.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 5. Let d be o(-7). Let t = 2 - d. Suppose 0 = -3*k + t + 2. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 25. What is the second biggest value in 1\/7, r, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 4\/(-6))*-84. Let v = -26 - f. What is the smallest common multiple of ((-9)\/6)\/(v\/24)*6 and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-120))\/((-1)\/44). Let y(f) = -f**2 + 25*f - 4 - 25*f + 11*f. Determine y(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(2 - (-1)\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1526 by -763.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 13*a + 145 = 0. Let i = -25 - a. Let w(y) = -3*y**3 + i*y**3 - 61*y + 59*y. Give w(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 14) to base 10\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + w**2 + 3*w + 25. Calculate x(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = 5*w - 12*w. Suppose -w = -3*a - 2*p, 6*a - 2*a = 5*p + 15. Solve -5*f + f + 4*o = 20, 5*o = -f - a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2089, 1905, 1721, 1537, 1353?\n\"Answer: -184*u + 2273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10203 divided by 6\nAnswer: -3401\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 24 = 2*q, 0 = -3*t + t + 5*q + 10. Suppose 0 = 4*g + 2 - t. What are the prime factors of -1 - 1\/(g\/(-26))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**6\/135 - a**5\/45 + 2*a**3\/27 - a**2\/9 + 10*a - 15. Let f(v) be the first derivative of l(v). Factor f(b).\nAnswer: 2*(b - 1)**3*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14766 and 20544.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 55. Let m(h) = -l*h + 12*h - 5*h. Let p(y) = 8*y. Give m(p(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -6105?\nAnswer: 6111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**4\/7 - 153556*x**3\/7 = 0. Calculate x.\nAnswer: 0, 38389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -709, -1415, -2121, -2827, -3533, -4239?\nAnswer: -4945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**3 + 1101*a**2 - 67089*a - 6683193 = 0?\nAnswer: -51, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 29, 69, 145, 269, 453, 709, 1049?\nAnswer: 1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.172 + 4.072. Let m = -3189.0575 + 3193. Let n = g - m. What is n rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*l**3 + (0*l**2 + l**2 - 3*l**2)*(3*l + 2 - 2))*(-3*l + 0*l + 5*l).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80485568869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10752\/105)\/16)\/((-11)\/55)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 28*j**2 + 9*j - 44. List the prime factors of p(27).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 456 divided by -3\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18 - (-292)\/18. Let q(b) = 968*b + 12. Let t be q(y). What is t rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (1 - -6) + 1 - 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 367 + -360. Let z(t) = t**2 - 8*t - 4. Let x be z(9). What is the lowest common multiple of j and 104\/x - 4\/(-20)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 164.31 - 173.6. Let h = 9.3327 + c. What is h rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(5\/2)*y)**(-21\/5) assuming y is positive.\nAnswer: y**(-189\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*t**2*x + 2127*t**2 + 196*x wrt x?\nAnswer: 5*t**2 + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9*v**3 - 270*v**2 - 257*v + 83. Give j(-29).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.03052*-0.73\nAnswer: 0.0222796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**2 - 2*s**2 - s**2)*(2 - 2 - 4)*(2*s - 14*s + 133*s) to o*s + l*s**2 + g + y*s**3 and give y.\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 + -83. Suppose -3*l + 1 = h*y - 2*l, 0 = 5*y + l. Sort -5, y, 0, 1 in decreasing order.\nAnswer: 1, 0, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51032 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 435535690\/14114583 - -2\/2016369. Let -1296\/7 - 48\/7*x**3 + 3\/7*x**4 + g*x**2 + 0*x = 0. Calculate x.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - 1 - 2)*(13 + 2 - 5) + 1 + 6 + 1)*(-5 + 5 - 3*m) as n + o*m and give o.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(1\/31)\/x)\/(x\/x**7))**(-2\/13))**28 assuming x is positive.\nAnswer: x**(-10472\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*p**4 - 43*p**2 + 1 wrt p?\nAnswer: -1200*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 13*s - 11. Let v(q) = q**2 - 8*q + 3. Let t be v(7). Let u(r) be the first derivative of -3*r**2 - 6 + 2*r + 4 + 3*r. Give t*y(g) - 9*u(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/16*-4 - -10 - 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -216 + 300. Calculate the greatest common factor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8 = -2*s. Let d(n) = 8*n - 6 + 4*n + s*n**2 - 10*n. Let b(x) = -x**2 + 1. Let j be (2\/4)\/1*-2. What is j*d(u) - 6*b(u)?\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*((i*i**43*i)\/i)\/i)*i*i)\/i*i**9 assuming i is positive.\nAnswer: i**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*p - 28 = 0, 0 = -3*d - 2*p + 2 + 2. Suppose -d*x = -2*h - 56, 6*h - 4*h = -5*x + 52. Solve x = 6*l - 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13118 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*m + 3. Suppose -6 = b + 4*k, -2*k - k + 2 = 4*b. Suppose b*p - 11 = m. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*s - 7*s - 4, 0 = k - 5*s - 10. Let i be (-3)\/(-9) - 16\/30. Let r = -0.03 + 0.23. What is the smallest value in i, r, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62453296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63940?\nAnswer: 2, 5, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002877 to 4 dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (26\/(-91) - 15\/(-28)) + (-128791)\/(-4).\nAnswer: 2, 17, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-18 - 30) + 4 + -20.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1579 and 30.4.\nAnswer: -4.80016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 208202346 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.01, -4.1, -0.3, -1\/2 in decreasing order.\nAnswer: 0.01, 0, -0.3, -1\/2, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**5 + t**3 + t. Let u(l) = -7*l**5 - 5*l**4 + 14*l**3 + 20*l**2 + 12*l. Let k(q) = -4*c(q) + u(q). Let k(p) = 0. Calculate p.\nAnswer: -2, -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**3 + 20*v**2 - 13*v - 43. Let f(n) = 3*n**3 - 13*n**2 + 9*n + 29. Let h(b) = 5*c(b) + 8*f(b). List the prime factors of h(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + 6*p**5 - p**3 + (0*p**3 + 0*p**3 + 2*p**5)*(-3 + 4 - 4) + p**5 + p**2 - p**2.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 4) + -7 + 15 + -11 + -17?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + -1)\/(1 + (-30228)\/30239)?\nAnswer: 2, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -3\/4, 0, -1.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1, -8, -0.1, -17?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 12) to base 15\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 10:59 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(3*sqrt(54)))\/(sqrt(54)\/(sqrt(225)*-2 - sqrt(225))).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**4 + 5*q**2 + 10*q + 1180. Let c(m) = -7*m**4 - 6*m**2 - 12*m - 1179. Let z(o) = 5*c(o) + 6*u(o). Find the first derivative of z(t) wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51456 and 3618.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 2*b. Let o be p(3). Suppose -3*n + r = -64, o*n - 2*r - 48 = -5*r. What is the lowest common multiple of n and 42?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 1. Let p(m) = -m - 9*m + 6 - 14*m + 3*m. Let v(t) = 6*j(t) + p(t). Let h(q) = 3*q**2. Calculate v(h(f)).\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/690855 and 17\/325875.\nAnswer: 17271375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -5*p - 11*p. Suppose 0 = p*n - 63 + 15. Let a = -27 - -55. What is the remainder when a is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1016554 and 1698389?\nAnswer: 139267898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 908 + -585. What are the prime factors of j?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0020884632 to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -16559 and -16569 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3344*m + 3352*m - 1672. Suppose 14182 = -195*c + m*c. What is the remainder when c is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 8. Suppose 0 = -3*u + 5*f + 7 - 0, -3*u - 3*f - 33 = 0. Let z be j(u). Suppose -5*h + 65 + 36 = z*n, -3*n - 5*h = -159. Does 22 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -4, -1, -5 in increasing order.\nAnswer: -5, -4, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/21)\/(336\/(-1960)). Which is the third biggest value? (a) -3 (b) -2 (c) 4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-8)*2760\/2415*(-21)\/(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5198921521?\nAnswer: 17, 305818913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128.4 - -92. Let i = 35.5 + y. Let g = 1.1 + -1. Is g at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/2)\/(-4 - (-27)\/6). Let j(a) = -a**3 + 10*a**2 - 8*a - 3. What is the least common multiple of j(l) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -2, 8, 40, 106, 218, 388?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*(sqrt(128) + -5 + 4))**2 - (-3 + (sqrt(128) - (sqrt(128) + -2)) + sqrt(128)*-2*-3)**2).\nAnswer: -12279 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -369 smaller than -357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9486, -9483, -9480, -9477, -9474, -9471?\nAnswer: -9468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22708882 is divided by 216275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yppppyppypppyppppppy. Give prob of picking 1 y and 3 p.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 m when two letters picked without replacement from {s: 1, m: 2, i: 4, a: 1, b: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/850)\/((-206)\/203116)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 101, 41 in increasing order.\nAnswer: 11, 41, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -315*p**3 - 165*p wrt p?\nAnswer: -1890*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 18*x**3 - 3*x**2 - 4*x + 8. Let o(y) = 35*y**3 - 5*y**2 - 7*y + 14. Determine -7*j(i) + 4*o(i).\nAnswer: 14*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 751 - 179. What are the prime factors of x?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 83*o + 45. Let n(m) = -81*m - 46. Let c(a) = 5*g(a) + 6*n(a). Let d be c(-3). Is d != 161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + 16?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**3 + 7*p**2 - 25*p - 110. Let r be t(-27). Round r to the nearest one thousand.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c - c)*(80*c**2 - 80*c**2 - 66*c**4) + 2 + 2*c**5 - 2 + (-3*c**2 + 0*c**2 + c**2)*(-2*c**3 - 4*c + 4*c) - 2*c**5 - 2*c**2 + 2*c**2.\nAnswer: 70*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-162)\/756)*(-12)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 27 = 2*d, 29*d = -w + 15*d - 35 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34568651*i**3 + 2*i**2 - 2468524*i?\nAnswer: 207411906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5*g + 28 = 4*b, 0 = -2*g + 4*b - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2835, 1110, -5 in ascending order.\nAnswer: -5, 1110, 2835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -11. Suppose 36 = 5*b + 6. Does 4 divide b\/6*11\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64074416*m**4 - 62984983*m**2.\nAnswer: -1537785984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -66c7 - -2c?\nAnswer: -6698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1804786*q**3 + q + 0*q - q.\nAnswer: -1804786*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(6\/(-8) + (-1)\/(-4)). Let p be i*(1 - 4 - -2). Is (-43552)\/p*(-3)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 - -88. Sort p, -1, 0, 9 in descending order.\nAnswer: 9, p, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d + 30. Let h = 21 + -7. Let v be i(h). Suppose -v*x + 72 = -40. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 14 + 41*h**2 + h + 8*h**3 - 40*h**2 + 5*h**3 - 3 - 11*h**3. Let u(y) = y**3 + y**2 + 10. Determine 2*m(a) - 3*u(a).\nAnswer: a**3 - a**2 + 2*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 117570403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -13*c - 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 314569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13300393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -24*u**2 - 4*u - 53. Let c(b) = b + 1. Let h(l) = 4*c(l) + r(l). Differentiate h(t) with respect to t.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -241 - -692. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h**2 - 29*h + 13. Let g(p) = p**2 + 7*p - 3. Let m(o) = -26*g(o) - 6*q(o). What is the second derivative of m(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5e (base 15) to base 10.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28.92 - -29. Let r = 0.068 - m. Let u = -0.0015 + r. What is u rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.995 - -0.005. Suppose 0*j - 5*j = 20. Let p = 24 - 24. Sort j, p, t, 0.4.\nAnswer: j, p, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11811, -23852, -35893, -47934, -59975, -72016?\nAnswer: -84057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 64 + 120 = w + 65, 0 = -8*t - w - 23 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118026\/55 - 10731\/5. Put x, -5, -32, -0.5 in increasing order.\nAnswer: -32, -5, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, o: 2}. Give prob of picking 2 i and 1 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 20*d**3 + 2*d**2 - 4*d + 2. Determine j(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1512\/52 + -30 - (30450\/1404)\/(-25)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 528190?\nAnswer: 1\/264095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*x + 20, -4*t - 3*x + 5*x + 6 = 0. Let a be 4*(2 + -1)*t. What is the tens digit of a\/(0 + 4) + 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwu. What is prob of sequence wu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2. Let u(g) be the first derivative of 2*g**3 + 9. Calculate u(a(q)).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3660 not equal to 3683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.67 - 0.07. Let i = d + -0.4. Suppose -2*v = -12 + 2. Sort v, 0, i in increasing order.\nAnswer: 0, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.771584 rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-34))\/(16\/16)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 5) + (8 - 8 - -7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 354 - 259. Suppose 0 = 104*j - s*j - 1800. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 32, 98, 188, 302?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtmldttldllldmnllll. What is prob of picking 1 n and 2 l?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -2 + (-275)\/50)\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crcogojcrngjrj. What is prob of picking 2 o and 2 g?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*1*((sqrt(88)*1 + sqrt(88))\/sqrt(8))**2.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1267 - -1436. Round z to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -66 - 2583983?\nAnswer: -2584049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 30941.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 3*k**5\/20 + k**4\/12 - k**3\/6 + 3*k**2. Let j be u(1). Let y be j\/3 + (-5)\/15. Solve -y*n + 4*n = -5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 181718117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 247370161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + x)*(2 - 4 + 3) + 4*x - 4*x - 3*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/3? (a) 4 (b) 1\/4 (c) -0.03 (d) -0.3 (e) 278\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 246 - 197. Let k = 45 - l. What is the nearest to -1 in -2, 8, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*(n*n**(2\/5)*n)\/n*n))\/n*n\/(n**5\/n)*n*n**5*n*n*n**2\/n assuming n is positive.\nAnswer: n**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 879 and 900457269.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4175 and 3173.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 - 27 - 37 = 25*c. Solve c*h = -200 + 172 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 7*k**2 + 8*k + 6. Let u be r(-6). Suppose -3*z - 17 = 3*c - 224, -2*c = -4*z + 258. What are the prime factors of (z\/9)\/((-2)\/u)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -873?\nAnswer: -873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 85*r - 345. Let v be x(4). Solve -5*i = -6*p + 4*p - v, -5*i - 1 = 2*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -11 (c) 15 (d) 2 (e) 1\/3 (f) -402\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216 (base 10) to base 3.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32580 by -6516.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*n - p, -4*p = -104*n - 434 + 966 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-63 - (-35 + 1)) + 20\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105447, -210934, -316415, -421890, -527359, -632822?\nAnswer: -738279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 + 168 = 4*r - 4*p, 0 = 3*p + 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 6, -3*o = -3*k + 37 + 38. What is the greatest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -1a1?\nAnswer: -1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17936031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6*f + 75 - 259 = 7*n, f - 5*f = 2*n + 64 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83.1*-734.6.\nAnswer: -61045.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -25414 (base 6) to base 11\nAnswer: -2969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -41, 12, -9 in ascending order.\nAnswer: -41, -9, -3, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*-0.08297.\nAnswer: -0.099564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.6? (a) -3 (b) -46\/9 (c) 2\/7 (d) -153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 29*m + 2. Let w(p) = -5*p**2 - 49*p - 4. Let t(a) = -5*n(a) - 2*w(a). Calculate t(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 + 13 - 12*s + 4*s - 3*s + s + 2*s + s - 2*s + (-4 + 1 + 2)*(2 - s - 2).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2) + 4 + 0 + (-1*sqrt(28) - sqrt(28) - (-1 + sqrt(7))*1))**2*-2.\nAnswer: -274 + 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nine tenths of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 57?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + r**2 + r. Let h be 9\/(-3)*3\/(-9). Let u(q) = -q**3 + 6*q**2 + 5*q - 1. Let s(m) = h*u(m) - 5*l(m). Let g be 6\/(-24) - (-5)\/4. Give s(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211540921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -603 + 147 = -8*w. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 0.07 (c) 2\/15 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**3)*q*q\/q**(-1\/6)*q*q*q**(3\/4)\/((q*q\/(q*q**(-5)\/q*q))\/q))\/((q**1\/q)**(-21)*(q*q*q**6*q*q)\/(q*q\/q**(-7))) assuming q is positive.\nAnswer: q**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*j + y = -293, 3 = 3*y. Suppose -94*o + j*o = 2216. Let r = o + -307. What are the prime factors of r?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 - 76 - (-1 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 21 + 24 - 7*u - 18*u**3.\nAnswer: -18*u**3 - 7*u + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 59 = -59. Let o(r) = r**3 - r**2 + 2*r + 2. Let u be o(n). Solve 2*i - 5*a = -2, 3*a = -4*i + 20 + u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 39 = -75 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**3 - 3*d**2 + 11*d - 12. Give o(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 35 = 4*k - 4756, 5*j = k - 1175. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -0.5 (c) -0.4 (d) 385 (e) -67 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.9 - -3. Let f = -0.5 + k. Let t = -0.4 - f. Which is the second biggest value? (a) t (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m\/(m**(2\/7)*m)*m)\/m*m))**(-1\/2))**(-48)\/((m**(1\/5))**(-12))**(-30) assuming m is positive.\nAnswer: m**(-624\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/4 (b) 0.0944 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 34, 8\/15, -0.5, 14\/11, -3?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30218520 and 1122.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2 + 81*h - 29. Give n(26).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28b (base 14) in base 10?\nAnswer: -515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m + 20332 = -5*b, 20282 = m + 5*b. Let d = -7004 + m. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m**2 + 49*m + 1021. List the prime factors of v(-29).\nAnswer: 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/58 + 143\/522. Let p = 0.1 + -0.6. Which is the closest to i? (a) p (b) 2\/15 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3406)\/(-524) + 1\/2 + 4 - 2490\/228\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -570, -1\/6, 3.\nAnswer: -570, -1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**2 - 5680*l - 473684 = 0 for l.\nAnswer: -79, 1499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12636)\/2340*125\/45?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 2*h - 8, -5*i + h = 28 - 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3479998.15 rounded to the nearest 10000?\nAnswer: 3480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 47 - 3*s**2 + s**2. Let r(k) be the second derivative of k**3\/3 - 1383*k. What is r(o(m))?\nAnswer: -2*m**2 - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210453854?\nAnswer: 2, 13, 31, 37, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*k**2*o**2*r - 8*k**2*o*r + 25*k*o**2*r + k*o**2 - 14*o**2 wrt k.\nAnswer: 206*o**2*r - 16*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 536 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 100*x + 569. Let f be o(6). Let h be (-25)\/(-8) + 1 - 25\/200. Solve -4*n + f*j = -0*j + 17, n = -h*j + 22 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i + 30. Let z be u(9). Suppose 4*g - 50 - 97 = z*y, y = 5*g - 192. What is the remainder when g is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**4\/4 + 299319*k**3\/2 + 957789*k**2\/4 - 568697*k + 179589 = 0 for k.\nAnswer: -119726, -3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20004 is divided by 179.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + 2302103?\nAnswer: 2302133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 6:29 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 + -21. What is w rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a + e5?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3 + 3224192*w**2 + 9672602*w - 12896792 = 0.\nAnswer: -4, 1, 1612099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -84*36\/(-513) + (-2)\/(-19). Solve -16*d = u*d - 22 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 + u**4 - 4*u**4)*(-5 + 2*u + 5)*(-1 + 1 - 1).\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 + -81. Is 2634 + (20\/4 - a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j**2 + 51*j - 4. Let k(i) = i. Determine b(k(q)).\nAnswer: 8*q**2 + 51*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 15?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + -4.2. Suppose -6*j - 104 = -140. Suppose -j + 16 = -10*t. Which is the third smallest value? (a) t (b) -2\/7 (c) 2\/7 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.8816 - -0.0144. Round y to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 177*x**2 + 9 - 6 - 32*x + 75*x - 43*x. Let j(q) = 3*q. Determine p(j(r)).\nAnswer: 1593*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/11*k**3 - 16\/11*k + 0 - 4\/11*k**2 = 0. Calculate k.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -203492*x**3*z - 2*x + 368209*z with respect to x.\nAnswer: -610476*x**2*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 261.5 + -259. Round g to 1 dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -263, -82, 99?\n\"Answer: 181*n - 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*r - 80, -3*o - 28 = 3*r - 4*r. Let t = r - -38. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -565 - -44?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 5*l**2 - 20*l + 2. Let j(y) = 3*y**3 + 9*y**2 - 45*y + 4. What is 4*j(n) - 9*s(n)?\nAnswer: 3*n**3 - 9*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.42448635 to three dps.\nAnswer: -3.424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6097 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 22 + 8. Let l(f) = 0*f + 4*f - 9 + 3 - 9. Let r be l(y). Solve 4*s = r*t + 5, 3*s - 33 = -3*t - 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 921, 3668, 8241, 14640, 22865, 32916, 44793?\n\"Answer: 913*z**2 + 8*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - d = 1, 4*d = -6 + 2. Let m(r) = r**3 + r. Let n be m(c). Let s(j) = -j + 10. Determine s(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, -0.5, 81350 in descending order.\nAnswer: 81350, 0.15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3811 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: Suppose h + 162 = 222. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8049962 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 313\/((93415\/(-34))\/35) - 4\/(-1)?\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 1)*(-5)\/(-2). Suppose 3*j + 2*j + 25 = 0. Put -3, 4, l, j in increasing order.\nAnswer: j, -3, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 0. Let m be ((-4)\/(-3))\/(v\/(-1566)). Let w be 6\/(-9) + 104\/m. Are 1 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -248970 - -549617. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9488286371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -134772375 to the nearest 100000.\nAnswer: -134800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*d + 289, -8*k + 2*d = -9*k + 76. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzllzzlzllzzlzkgzll. What is prob of sequence lzkg?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -0.1 (c) -4 (d) -28.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-2)\/(-16) + 33*(-126)\/108?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**3 + p**2 + p + 1. Let o be c(-1). Suppose 4*h + 5*n + 41 = 0, n = -2*h - 13 - 0. Sort h, o, 3.\nAnswer: h, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62669540 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3 + 12 = 0. Let p(r) = -6*r**3 - 3*r**2 + 2*r - 2. What is the remainder when p(h) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7402532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*b + 399, 0 = -3*t - 5*b - 181 - 162. Let x = 160 + t. What is the remainder when x is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 982511804?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-62)\/(-8))\/(13\/104).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 141272*t + 1247361124.\nAnswer: 4*(t + 17659)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 86.9 (c) -1\/11 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 78. Calculate the greatest common factor of q and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9025517?\nAnswer: 9025517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 2 - (-3 + -5) - (14 + 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 194201.9 - 0.077\nAnswer: 194201.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 397*a*k**3 + a*k**2 - 4*a*k - 130*a - k**3 - 2*k**2 - 3*k wrt k.\nAnswer: 2382*a*k + 2*a - 6*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4851 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + (sqrt(931) - sqrt(931)*-1 - sqrt(931)) - -1*(sqrt(931) + 2))**2.\nAnswer: -22440 - 672*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2156202 and -79\/6109239.\nAnswer: 36655434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -620 (base 8) in base 4?\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152.026 + 20.464. Round h to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**4\/4 - 3*f**2\/2 + 2*f - 2196. Suppose 2*k + 12 - 6 = 0. Calculate a(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*l, 3*t - 5*l - 100344 - 193120 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(102) + (sqrt(102) - (sqrt(102) - sqrt(102)*2)))\/sqrt(6) - -4*(sqrt(17) + 1) - (sqrt(119)\/(sqrt(42)\/sqrt(6)) + 4))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 2*k. Let l = -1 + -2. Let u be a(l). Suppose -2*x - 7 = b - 0*x, b - 2*x = -3. Is u > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18681*j + 18699*j = 8478126. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 956 + -908. Suppose -g - 118 = -6*g - 4*u, u + 3 = 0. What is the remainder when k is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 29*x**2 - 134*x - 8. Let l be m(-4). Solve 7*r - 5*r - 6 = l, -r + 6 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*t - 1 = -5*p, 4*p + 4*t = 28. Let c = -6 + p. Is c != -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 40*g - 14 + 54*g + 58 - 28*g. Let t(r) = -r - 1. Give -c(f) - 44*t(f).\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254412999?\nAnswer: 3, 37, 764003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**3 - 12*r**2 + 9*r - 12. What is the tens digit of c(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*d + 35, -d + b + 0*b = 10. Let g = 9 + d. Suppose 27*a + 67 = 121. Solve -2*o + 4 = -6*o, a*o + g = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -g - 3*s - 107, -99 = g - 5*s. Let h = -107 - g. Solve -3*o = 5*z - 27, 2*z = -5*o + h*o + 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220233*h - 278223*h - 360083*h - 272750*h.\nAnswer: -690823*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 1\/3 (b) 3.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t - 24. Suppose -2*u = -7*u - 25. Let i(j) = j - 1. Let q(y) = u*i(y) - s(y). Is q(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/l**(1\/5))\/(l*l*l*l\/(l\/l**5)*l\/(l*l\/l**2)) assuming l is positive.\nAnswer: l**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 10:19 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21879 and 7293?\nAnswer: 21879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**(1\/19)*x)\/x))\/(x\/x**(6\/5)))**(-14\/13) assuming x is positive.\nAnswer: x**(-1526\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1159 and 8491444.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -26, -79, -174, -323, -538?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1836.84 and 0.06?\nAnswer: 110.2104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c + 165. Let d be k(-37). Suppose -d*z + 13*z + 25324 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5408000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + x**4 + 917*x**3 - 119284*x**2 + 119286*x**2 + 0*x to o*x**2 + y*x**4 + l*x + v + c*x**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114\/11 - 320\/33. What is the fourth biggest value in 4, 2, y, 2\/9, -1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2745*s + 3277*s + 3933*s + 3094*s + 1671*s.\nAnswer: 9230*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**2 + 32*c**2 - 50*c**2 + 10*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a + 44. What is k(12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 761922 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50128963, 100257925, 150386885, 200515843, 250644799, 300773753, 350902705?\nAnswer: 401031655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttuttupyu. Give prob of picking 1 p, 1 y, and 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 609228207 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -15\/26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-90))\/(60\/75)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9661 or -9734?\nAnswer: -9734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12077\/2 + -6254. Let k = y - -211. Is -6 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*g**5 + 2067*g**4 + 8148*g**3 + 15680*g**2 + 14688*g + 5328 = 0.\nAnswer: -3, -2, -222\/205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12945638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/((-20)\/(-6)) + (-213210)\/(-1150) is divided by 66?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2854804858 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26\/5 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/(-2))\/5)\/((-1)\/(-20)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*i + 259*i = 4400. What is the remainder when 80 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 16. Let u = -3 + o. Let q = 2 + -2. Sort q, -3, u.\nAnswer: -3, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsssg. Give prob of picking 2 g and 2 s.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-33) + (-114)\/(-22). Let z(g) = g**2 + g - 6. Let o be z(-6). Let h be (-1)\/(-2)*o\/78. What is the biggest value in 1, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63.1 - 64. Let k be -4 - ((-12)\/4 + 0). Put s, k, 2 in decreasing order.\nAnswer: 2, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/407 + -800\/2849. Let t = -19 - -27. Let j = -3 + t. What is the closest to 1 in j, -0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242433040 (base 5) in base 8?\nAnswer: -4262072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**21*r**(-13\/2)\/r assuming r is positive.\nAnswer: r**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 184770829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 11*p - 3. Let h be s(5). Let i be (h\/6)\/(6\/9). Let g(n) = -i*n + 13*n - n**2. Let q(x) = -x**2. Determine q(g(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 450.81452 * -0.4.\nAnswer: -180.325808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -1)\/(-6)*(-30)\/27. Suppose -8*g + 9*g + 1 = 0. Is z less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2, 5, 1371, 2, 11 in decreasing order.\nAnswer: 1371, 11, 5, 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 72, 93, 132, 195, 288?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-81))\/(3\/(27\/(-12)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(6) + -3 - (-3*sqrt(40))\/sqrt(8))*-1.\nAnswer: -4*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 540 and 477522.\nAnswer: 4775220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14079290 and 8447574.\nAnswer: 42237870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/35676 and 1\/4955.\nAnswer: 178380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -30*h - 1. Let o be b(-5). Let m = 94 - 22. Let z = o - m. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6261078 to the nearest integer?\nAnswer: 2502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32202 - -32199. Put -0.13, a, -0.1, -4, -17 in descending order.\nAnswer: -0.1, -0.13, a, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 + 20*c - 14. Let f be t(-9). Let u = -41 + f. Suppose -2*v = u - 18. Calculate the greatest common divisor of v and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 1\/10 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8750\/75*(-3267)\/2541?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 24 = 4*c. Solve -7*k + 0*k - 35 = c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 - (-150 + 187) - (-1 + (-1 - 0))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65 and 739410?\nAnswer: 9612330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -2, -7558, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191830 is divided by 3094.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4171 - 4159. Let v = 6 - -6. What is the greatest common factor of p and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124822523?\nAnswer: 7, 31, 575219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.654877 centimeters in kilometers?\nAnswer: 0.00000654877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 + 9*y**2 + 9*y**2.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11612 (base 11) to base 8.\nAnswer: -40507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3 - 2*d**2 + d**2 - 2*d**2 + 6*d. Let k be x(-7). Let y = -99 - k. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 228, 464, 794, 1218, 1736?\nAnswer: 2348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58.423 - 58.7. Let r = -0.023 + z. Which is smaller: r or -0.03?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -7 - 14. Let q be x + 8\/6*-3. Let g(v) = 5*v. Let l(d) = -91*d + 11. Let u(n) = 18*n - 2. Let w(p) = -2*l(p) - 11*u(p). What is q*g(h) - 2*w(h)?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -739052\/75 + 9853. Calculate the common denominator of 8\/57 and s.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1489.1874 months in years?\nAnswer: 124.09895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 37*r + 13. Let k be 35\/15 - 1\/3. Suppose y = 4*m + 8, -k*m - 34 = 3*y - 6*y. What is the remainder when s(-19) is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*x**2 - 39*x - 57*x**3 + 54*x**3 + 18 + 5*x**2 - x**2 + 12*x**2.\nAnswer: -3*(x - 6)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 38, 4 in ascending order.\nAnswer: 2, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayaayaaaya. What is prob of sequence ayyy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -45 + 5 + 10 + 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 5 - (12 + (-4 - 6 - -4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -60*d + 5. Let q(c) = -1. Give -6*q(k) - y(k).\nAnswer: 60*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1220.32 - 1195. What is q rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/30 and 21\/22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 2620*o - 1313*o - 1307*o.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 4*y - 5. Let w be 11 - (-3 + 9)\/1. Determine q(w).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -25*w - 319. Let u(o) = 50*o + 564. Let x(p) = -5*t(p) - 3*u(p). Give x(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624390 a multiple of 530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-819*o + 398*o + 350*o + (-5 + 2 + 4)*(2 + 2*o - 2))*(1 + 1 - 4) to c*o + s and give c.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 234029*u. Let x(i) = -11*i**2 + 55. Calculate a(x(t)).\nAnswer: -2574319*t**2 + 12871595","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8059295869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 7 + 2)*(o**2 - 3*o**2 + 0*o**2) - 2*o**2 + 0*o**2 + 3*o**2 + (-4*o - 3*o**2 + 4*o)*(2 - 6 + 2))*(-1690 + 63*o + 1643 - 77*o).\nAnswer: -154*o**3 - 517*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 * 8733045\nAnswer: 1135295.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 3*h**5\/20 + h**2 + 128*h - 1. Let n(v) be the first derivative of -v**2 + 1. Determine n(q(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 251? (a) 1\/5 (b) 0.5 (c) -44 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -1\/5, -3, 0.6, 1\/38, -0.06?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 5294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2564550353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9949959 and 1620?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36105.14t in nanograms?\nAnswer: 36105140000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((1 - 4 - -2) + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3872*w + 3470*w = 43416 for w.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.4701 rounded to one dp?\nAnswer: 36.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 600.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 8*k**2 + 2. Let i be 0 - (-1 - -1)\/(-1). Suppose -5*y - 3*l - 28 = i, y - l - 8 = -5*l. What is the least common multiple of 32 and w(y)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*y - 187*y + 121*y)*(6 + 7 - 6).\nAnswer: 182*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 4*b + 20. Let a(q) be the first derivative of q**2\/2 + q + 2. Let j be a(b). Solve -c + j = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*v + 5. Let h(z) be the third derivative of -z**6\/120 + z**5\/30 + z**4\/12 + z**3\/6 - 2*z**2. What is h(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**3 + 6*x**2 + 88*x + 80. Determine m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010 (base 2) in base 7?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/368*138\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 3*a + 3930 + 6*a. Let s be y(0). What is s rounded to the nearest one hundred?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(88)*-2 + sqrt(88))*-4*6)\/((sqrt(72)*-3)\/sqrt(9) + -4*sqrt(32)\/sqrt(4))*-4.\nAnswer: -192*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*t + 555, -4*t - 2*n - 87 = -813. Calculate the greatest common divisor of 108 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33, 148, 455, 1050, 2029, 3488, 5523, 8230?\n\"Answer: 16*o**3 + 3*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324 + 8*p + 10*p - 34*p + 15*p.\nAnswer: -p - 324","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132390070 by 1.\nAnswer: -132390070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29032 + -28576. Which is greater: 5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1067*j**2. Let w(o) = 4*o. Calculate w(f(a)).\nAnswer: -4268*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 5. Let i be z(-7). Suppose j = -i + 1. Which is bigger: 1\/2 or j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 - 84\/(-80). Solve o*s - 5\/4*s**4 - 15\/4*s**2 + 0 + 15\/4*s**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 230, 343, 454, 563, 670?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1\/(-6)*3\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**6*v)\/v)\/((v**(-1\/7)*v)\/v))\/((v**(1\/24)\/v)\/(v*v\/(v*v**(-1\/3))*v)) assuming v is positive.\nAnswer: v**(1921\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 32207460 and 32207459 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43339\/20077 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 290 and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2. Let h(i) = 100*i**2 + 18. Give h(n(v)).\nAnswer: 400*v**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3 + 0 + 0 + p - 2 + 4. Let j = 4 + -14. Let m = j - -4. What is a(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c - 2*j = -31*c - 3722, -9275 = -5*c + j. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -129292, -517193, -1163706, -2068837, -3232592?\n\"Answer: -b**3 - 129300*b**2 + 6*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 751809.\nAnswer: 300723.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 798 and 1140.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12 - 16 = 0. Suppose x = -u + g + 49, -2*g + 224 = 5*u. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24*1.933.\nAnswer: 0.46392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gigggrr. Give prob of sequence ggri.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2977.5 - -481164.1.\nAnswer: 478186.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1196457.7 and 5866250.\nAnswer: 7062707.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5310324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzlzzzzllzzzzzezee. Give prob of picking 3 l and 1 e.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56.9 and 2.4?\nAnswer: 136.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2962558*u**3 - 32440756*u**2 wrt u?\nAnswer: -17775348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217 and 5994098.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -63*q. Let u(b) = 7*b + 4 - 2 - 2. Let c(j) = 28*u(j) + 3*v(j). Let t(y) = -2*y. Give c(t(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525 = 33*b - 38*b. Let l be b\/(-175) + 26\/(-10). What is the second smallest value in l, -5, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 28249*w**2 - w + 2. Let c be (-2)\/(-3)*(-9 + 0). Let l = c + 4. Let k be g(l). Round k to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29057 is divided by 29030?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 6289161?\nAnswer: 12578322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 38. Let d be q(0). Suppose -i + d = 5*z - 3*i, -2*i - 14 = -2*z. Let g be ((0 + 3)*-1)\/z. Which is the smallest value? (a) g (b) 0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-15))\/(24\/(-80)). Let v = c + -70\/99. Find the common denominator of v and (-3 + 0)*(-44)\/24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411*q + 432*q = 71148. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 19*u + 26*u to c*u + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 12*d - 344 = 0. Let t = 90 + d. Solve 3*p + 2*o - t*o = 0, p - 3*o - 7 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*l**2 - 266*l**2 - 160*l**3 + 152*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**5 + 11581*f**4 + 59*f**2 + 97583*f - 18 wrt f.\nAnswer: 20*f**3 + 138972*f**2 + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 40*j - 13 to r + h*j and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r + 106. Let b(d) = d + 40. Let s(l) = -5*b(l) + 2*i(l). Calculate s(21).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttoooottott. Give prob of picking 3 o.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 508714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 33 (b) -5\/11 (c) -3\/7 (d) 3\/38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5925*p**2 - 8950*p - 20. Let z(x) = -96*x - 1. Let j(s) = -o(s) + 20*z(s). What is the second derivative of j(r) wrt r?\nAnswer: -11850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.49999844 + -10.5. What is z rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198.9444g to milligrams.\nAnswer: 198944.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (20 - -15) + -21 + 37 - 18\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -67. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**2 - 14*l + 4. Let c be g(3). Determine b, given that -60*b + 4*b**2 - 6*b**2 + 0*b**2 + c*b**2 = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.046337584 to 3 dps.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + c - 1 = 0, 3 = -5*h + c + 8. Suppose -4 = -2*r - h*r. Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 912 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -7*i - 25 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/10)\/((-1)\/(-10)). Let y be 366\/9 - (-16)\/(-24). What are the prime factors of y\/12*o\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 < -17\/219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5161)\/(-52) - 9 - (-1)\/(-4). Suppose -16515 = -c*s + 81*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 3*(-455)\/(-105)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/24 and -1\/18340676.\nAnswer: 110044056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.8 or 1161?\nAnswer: 1161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + 2 + (sqrt(304) - (-2 + sqrt(304))) + sqrt(304))**2.\nAnswer: 8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -7 (b) 0 (c) -11.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2. Let k(q) be the first derivative of 3 + 0*q**2 + 0*q + 10\/3*q**3. What is y(k(a))?\nAnswer: 200*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93484?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.05 (b) -2 (c) 6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*x = -8*x + 226, -o + 4*x = -64. Calculate the greatest common factor of o and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-18)*(6\/360*12)\/(21\/35)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7998, -16059, -24170, -32331, -40542?\n\"Answer: -25*o**2 - 7986*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*88\/(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*s + 7 = 0, -d + 0*s + 11 = 4*s. Suppose 0 = d*c + 9, -m + 5*m - 100 = 4*c. Suppose 0 = -m*x + 26*x - 304. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 8*l - 4*l = 3*f, -2*f + 36 = 9*l + 5*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 14418 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -5. What is the common denominator of 85\/14 and m\/(-4) + (-140)\/(-32)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*n**4 + 11*n**4 + 2*n**3 + 21*n - 2*n**3 - 190 - 7*n**4 wrt n?\nAnswer: 8*n**3 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 32 - 37 = 0. Let v(p) be the third derivative of 0*p**3 + 1\/24*p**4 - 1\/240*p**6 + 0*p - 1\/120*p**c + 0 + 45*p**2. Let v(s) = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-9\/8))**(-5\/6) assuming a is positive.\nAnswer: a**(5\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, v: 6, u: 2, h: 1, o: 5}. Give prob of sequence vvo.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830652.257 less than 0.101?\nAnswer: -1830652.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15, 3, 33, 75, 129, 195, 273?\n\"Answer: 6*c**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 80229, 160459, 240689, 320919?\n\"Answer: 80230*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a, -j + 3 = -4*j - a. Let p = 2.2 - 8.2. Let c = 6 + p. What is the closest to c in -4, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 10*x**5 + 304*x**4\/3 + 250*x**3\/3 - 512*x**2\/3 - 24*x = 0.\nAnswer: -9, -2, -2\/15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 3*b**5\/140 + 3*b**4\/7 + 3*b**3\/2 - 21*b**2 - 1046*b - 2. Factor h(y).\nAnswer: 3*(y - 2)*(y + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*a - 6028 + 85652 = 0. Calculate the remainder when 936 is divided by a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-24)\/36)\/((-4)\/(1 - -23))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -5, 2, 27 in increasing order.\nAnswer: -5, -1, 1, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6510372.\nAnswer: 2, 3, 11, 31, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 162?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -8.1. Put 0.3, o, -3 in descending order.\nAnswer: 0.3, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-22) - 6169\/(-30646)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 13256602*u**3 + 26739*u**2 - 17826. Let q(k) = -2975*k**3 - 6*k**2 + 4. Determine 8913*q(x) + 2*r(x).\nAnswer: -2971*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2281829*b**2*v**2 - 500*b**2 + 29864*b*v wrt v?\nAnswer: -4563658*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 6*y**3\/11 + 228*y**2\/11 - 66*y + 492\/11 = 0.\nAnswer: -41, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 117 - 82 - 18*r + 8*r. Let x(b) = b**2 - 9*b + 36. Let v(m) = 2*h(m) - 3*x(m). What is the derivative of v(i) wrt i?\nAnswer: -6*i + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 20 - 22 + 37)*(4*n - 4*n + 5*n)*(-4*n**2 + 3*n**2 - n**2) in the form c + q*n**4 + p*n**2 + d*n**3 + h*n and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66\/85 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/7 - 4\/(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 24 = -3*a + 3*t, 3*a + t = 8. Suppose -48 = -3*i + a*k, -35 = -4*i + 3*i - 5*k. What is the remainder when 32 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/18552 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -13839*m + 13839*m - 5 - 23*m**2 as v + l*m + n*m**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12887\/76 - -1666\/19. Let y = 257 - d. Let x = -0.27 + -0.13. What is the nearest to 1 in y, x, -6\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1691*g = -861*g - 7217 - 5543 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 41 = -2*h, 168 = 3*l + 15*h - 12*h. What is the lowest common multiple of 18 and l?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 1785?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from ttdttttttttttttstt.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1227896355 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 75.44 * -90269\nAnswer: -6809893.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 11 = -16. Suppose -4 - 1 = -4*t - k, k = -3*t + 3. Solve -2*i - t = -3*i + u, -w = -2*i - u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**2 + 15*q - 47. Give k(14).\nAnswer: 1143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56004 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 14) in base 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1 - (7 + -7 + 6)) - -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 + 136*s**2 - s - 63. Let k be h(-68). What is the greatest common factor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 0.2053\nAnswer: -1.2318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15\/4, 2\/15, 1\/10, 2\/7, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-28)*19\/(760\/(-16))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = k, m - 2*k - 90 + 98 = 0. Let g(y) be the third derivative of -14*y**m + 1\/6*y**3 + 0 - 1\/3*y**4 + 0*y. What is g(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18357 + -826109\/45. Let o = w - 2\/9. Which is bigger: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*a = 21, 2*f - 2 = 3*a - 7. Let n(k) = -k**2 - k**f + 0*k**2. Let s(p) = -p**2. What is n(s(c))?\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 25. Let v(c) = -c**2 - 9*c + 13. Let h be v(q). Suppose -o = h*y - 2, 0*o + o - 2 = -4*y. Solve -5*z + 0*z - 20 = y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -25, 340 in decreasing order.\nAnswer: 340, -19, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 8*d**2 + 8*d + 1. Let k be o(7). Let x be 30\/8*k\/(-12). Which is the second smallest value? (a) x (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(3*j**4 - 4*j + 4*j + (-2*j - 5*j**3 + 2*j)*(j - 4*j + 2*j))*(-5*j + 2*j + 6*j).\nAnswer: 48*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*(sqrt(2112) + sqrt(2112)*2))\/(-3*(sqrt(3) + -3*sqrt(3))*-1).\nAnswer: -1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/4265125 and -54\/170605?\nAnswer: 4265125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((0 + sqrt(272) + -4 - (-2 + sqrt(272) + 1 + sqrt(272))**2) + 4 + -3).\nAnswer: -5460 + 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216 + -18 + (-172 - -81).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51441 - 5*r**3 - 51441 + 2*r.\nAnswer: -5*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 47 + 8*y - y - 53 - y. What is k(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**7\/1540 + 17*d**6\/1980 - d**5\/110 - 15*d**3\/2 - 56*d + 1. Let h(n) be the second derivative of q(n). Factor h(b).\nAnswer: 2*b*(b + 6)*(3*b - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2307*w + 9222. Determine g(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 23. Let w be (495 + 1)*(-7)\/k. Calculate the greatest common divisor of w and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -588 - -590. Solve -3*r - 5*x - 1 = 2, 3*x + 17 = c*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -425953392*f**2*m**3 + 2*f**2*m - 2*f**2 + 29*f + 21*m**2 + 22028*m wrt m.\nAnswer: -2555720352*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -155.1 - -155. Which is the fourth smallest value? (a) n (b) 56 (c) 1\/10 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-2)*188\/423.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 22*x + 16. Let z(n) = 3*n**2 - 65*n - 48. Let r(h) = 17*w(h) + 6*z(h). What are the prime factors of r(-11)?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l + 5. Suppose -3*x = y - 124, -2*x + 81 - 3 = -4*y. Let z = 33 - x. Let k(f) = -3*f - 3. Calculate z*k(i) - 5*h(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**2 + 4*v**2 - 7*v**2 + (v + 4*v - 4*v)*(0*v + 0*v - v) + 4*v**2 - 2*v**2 - 4*v**2 - 100*v**2 + 5 + 98*v**2 - 1 - 4*v.\nAnswer: -14*v**2 - 4*v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 4*s + 0*s)*(-s**3 - 3*s**3 + 6*s**3) - 3099*s + 3100*s + s**3 + 10*s**4 - 3 - 3.\nAnswer: 6*s**4 + s**3 + s - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -2 - (-896)\/64?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39058, 38868, 38680, 38494?\nAnswer: 38310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 844*n**3 - 17*n**2 + 48*n - 27832289?\nAnswer: 2532*n**2 - 34*n + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372884, -745777, -1118670, -1491563, -1864456?\nAnswer: -2237349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9817541941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 21. Let k be (-98)\/3150*33 + (1 - 0). Which is the second biggest value? (a) k (b) 2\/21 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 666536013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2736) + 0 + 3 - (sqrt(19) + (sqrt(2299) + sqrt(2299) + 0)**2 + sqrt(19) + sqrt(171)*-1)*4)*-2.\nAnswer: -32*sqrt(19) + 73560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391.251 years in decades?\nAnswer: 139.1251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 227322159 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.74 times 1\nAnswer: -1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5*v - 42 = 0, 5*z - 20 - 307 = 52*v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9.82153 and -51.286?\nAnswer: 41.46447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -182833, -8 in descending order.\nAnswer: 0, -8, -182833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63470?\nAnswer: 2, 5, 11, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.9 and -1331645.403?\nAnswer: 1331644.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-28)*4 - 1\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 2*z**5\/5 - 1316*z**2. Let v(q) = 206*q. Determine t(v(c)).\nAnswer: 1018464*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 796744484?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133 and 26467.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3)*(-1 - 8 + 4)*(3*w + w - 7*w) + (-36*w + 26*w + 39*w)*(-2 + 5 - 5) to the form m*w + x and give m.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j + 2*j**2 + (2*j - 5*j - 2*j)*(-4*j - j + 3*j) - 9*j**2 - 226 + 226.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v + 573 - 434 = -533 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21255, -42558, -63861, -85164, -106467?\nAnswer: -127770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13066 or -4\/15?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 + 994*y + 7840. Calculate z(339).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g + 3. Let i be a(6). Let x be 14\/i - 58\/(-6). Let v be ((-6)\/x)\/(1\/3). Do v and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 8. Let p be r\/((-3)\/(-15)*-1). Suppose -p + 26 = 3*h. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227381201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1858d + a09?\nAnswer: 19198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/(-1*sqrt(11)) + (sqrt(294) - (sqrt(294)*-1 + sqrt(294))))\/((5*sqrt(21)*-2)\/sqrt(7)))**2.\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 1\/20*j**5 + 0 - 2*j**3 - 2*j - 3\/2*j**2 + 5\/6*j**4. Let x be v(-11). Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -102. Let s be 2\/10 - d\/30. What is the second derivative of 6*r - 18*r - 5*r**s + 14*r - 31*r wrt r?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25414, -40210, -55006, -69802, -84598, -99394?\n\"Answer: -14796*v - 10618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126712 and 1034.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 14*y**2. Let c(t) be the third derivative of -1\/24*t**4 - 7*t**2 + 0*t**3 + 0 + 0*t. Give c(x(q)).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595262 is divided by 214.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34 - -46) + 60\/(-4). Which is the nearest to 2\/7? (a) -4 (b) 49 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f**3 - 11*f**3 + 30*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b*n*p**2 - b*n*p - 10*b*n + 9*b*p - p**2 - 21 wrt p?\nAnswer: 8*b*n*p - b*n + 9*b - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14833 or 3.3?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 121.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y - 3. Determine o(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2080 - -10432\/5. Which is bigger: 7 or f?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002395709 rounded to six decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 65298 = 11*c, 2*q + 130560 = 4*q - 4*c. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-876)\/(-18)*6. Let v = j + -37. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*l + 22, -565*h + l + 26 = -561*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/40 and -49\/25185?\nAnswer: 201480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85979*o - 85987*o + 72 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001015 rounded to five decimal places?\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - c**2 - 2*c - 6. Let b be y(3). Solve -3*i - 5*k = 11, 4*i = b*i + k - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -360?\nAnswer: 35e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-3*2 - sqrt(17))**2 + (sqrt(612)*-1)**2 + (-5*(sqrt(833) + sqrt(833)*-2) + -4*(sqrt(833) + -1))**2.\nAnswer: 56*sqrt(17) + 2294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f. Solve f = q + 3, 0*s + q - 7 = -5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -5*k - 70, -225 + 1048 + 605 = -102*k - 72*c + 74*c for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 10*i + 6. Let t be o(10). Suppose -t*x - 1 = 5. Is -4 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**4 + 224*y**3 + 1964*y**2 + 5304*y + 4608 = 0.\nAnswer: -3, -2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/21)*v*v**(-1\/4)*v)**(-6)*(v**1)**11*(v*(v\/(v\/(v*v*v**2*v)))\/v)**(-2\/31) assuming v is positive.\nAnswer: v**(325\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 1. Let s be ((-18)\/(-45))\/((-1)\/15). Let o = 5 + s. Let r be g(o). Solve -r*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2))**(8\/9)\/(y**(-1))**(2\/49))\/(y**(-4\/3)*y**(-7\/4)\/y*y)**(-36) assuming y is positive.\nAnswer: y**(-49129\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1711 + 1733. Solve -d*u = -18*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l + 10. Suppose 0 = x - 4, 5*t - 2*x - 9 = l*x. Solve 3*k - 6*o + 4*o - 8 = 0, t*k - 3*o = 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 5828*q**2 + 23260*q - 17436.\nAnswer: 4*(q - 1453)*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(3)*4 - ((4*sqrt(36))\/sqrt(12) - sqrt(3)).\nAnswer: 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 548, -1\/2, -263, -3\/4, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6 = 4*l. Suppose -y + 4*y - 6 = -2*g, 0 = 2*g + 5*y - 10. Let v = g + l. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -2000, -1, 34, 6 in increasing order.\nAnswer: -2000, -5, -1, 4, 6, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9 + 4*m - 4*m + 2*m - 13. Let d(k) = 2*k - 5. Let h be d(5). Calculate g(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -20 - 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, r: 1, f: 4, z: 1, b: 2}. What is prob of sequence fff?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + 6. Which is the closest to -4\/3? (a) 1 (b) j (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/3, 2, -0.9, 0.67, 1, 94, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151b47 (base 12) to base 5.\nAnswer: 42342004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*o**5 + 6*o**3 - 4*o**2 - 2*o - 1373 wrt o?\nAnswer: 480*o**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 80351 = 2*j, 3*s - 5*s - 4*j = -53578. Suppose -s = -2*u - 3*d, -d = 2*u + 2207 - 28998. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2393946214 to the nearest integer?\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/17301609 and -145\/306.\nAnswer: 588254706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/20*4*55\/198. Let r = 0 + -0.3. What is the nearest to -0.5 in s, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4333, 4334, 4335, 4336, 4337, 4338?\n\"Answer: n + 4332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r**2 + 1. Let s be t(-1). Let u(z) = z**2 + 8*z - 10. Let v be u(s). Suppose -4*a - a = -v. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 - -143. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 = -11*z - 191. What is the highest common factor of z and 8110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 186 = -168. Let d(y) = 5*y**r - y**2 - 3*y + 8*y**3 - 14*y**3 + 2*y. Calculate d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-30)*-5*2\/8?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 8:38 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgq when three letters picked without replacement from txtxxqxxxtrgt?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6119\/4 + -55625\/36. Let d = 10\/9 - w. Solve d*s**4 + 3\/2*s**2 + 0 + 6*s**5 - 3\/2*s + 27\/2*s**3 = 0 for s.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 102 = 7*t. Let m = 39 + t. Let j be m\/(75\/(-78)) + 4. What is the biggest value in 2\/7, -0.2, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277810?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 52347600 to the nearest one million.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 1830976384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633943 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -z + 144149997, 2*i + i - 2*z = 86490006. Suppose -4*v = -v + i. What is v rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/3302234 and -57\/286.\nAnswer: 36324574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**4\/4 + 2*r**3\/3 + 3*r**2\/2 - 4*r + 2. Let f be m(3). What is the third smallest value in f, -2\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -4*p - 1\/4*p**4 + 0*p**2 + 3\/20*p**5 + 0 + 0*p**3. Factor l(a).\nAnswer: 3*a**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**5 + 448*o**4 - 18276*o**3 + 123680*o**2 - 232000*o = 0. What is o?\nAnswer: -145, 0, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 55, 1 in decreasing order.\nAnswer: 55, 4, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ri when two letters picked without replacement from {r: 12, i: 1, m: 7}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/(-3))\/8*3. Solve 3*u + 3*d = -j*d + 17, d = 5*u - 19 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/28 and 45\/92?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, c: 2, r: 7, h: 2}. What is prob of picking 1 h and 1 e?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 285 and 1954986.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 1)*(-5 - 5 + 5)*(-2*t + 4 + 6*t - 2*t)*(-4*t + t + t) to v*t**2 + r + c*t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 10. Let j = 0.2 + -0.3. Which is the closest to j? (a) h (b) 4 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2 + 1032*t + 2 - 5 - 1033*t. Determine b(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10331*j - 10333*j + 5 - 10334*j + 41346*j - 10334*j.\nAnswer: 14*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-7 - (-15 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 2387 = 239. Solve 177*p = m*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34836 by -11612.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -365*n - 2551. Calculate m(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*r - 22 = 2*m, 0 = -m + r - 6. Let f be m + 2*2\/4. Let v be (-572)\/(-936)*(-12)\/(-44). Is f equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -0.44\nAnswer: -4.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*d - 17486 = -3*r + 55*d, 5*r - 29154 = -3*d. Is r a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68097051?\nAnswer: 3, 11, 229283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-352)\/(-7))\/1 - 2076\/7266 - 0?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*a - a - 13 = 0, -3*v - 2*a = -50. Let w = -3 + 11. Suppose 6 + w = f. Calculate the smallest common multiple of v and f.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*m + 5\/3*m**3 + 2\/3 - 8\/3*m**2 = 0 for m.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 375, 1, 373, 3, 2 in decreasing order.\nAnswer: 375, 373, 3, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117565 and 4837.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/13 in 1\/5, 1\/65833, 5\/2, -0.2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57130261.\nAnswer: 29, 41, 48049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*o + 3651 + 3578 - 7227 + 5*o.\nAnswer: 41*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 949754.\nAnswer: 2, 13, 36529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10 + 5*m - 4*m - 7 + 3. Let t be q(-4). Factor 8*w + 3*w - 4*w + 16*w**t + 6*w**3 + w.\nAnswer: 2*w*(w + 2)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 865*t**3 - 17*t + 17*t - 1839*t**3 + 983*t**3.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 13. Suppose -2*c + f + 6 = 0, 3*c + f + 1 = x. Let k be -9596 + (-1)\/(c\/16). Round k to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -9) + (-38520)\/1380 - -16\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -14*t**2. Let o(y) be the second derivative of -5*y**3\/6 + 8*y + 4. Calculate r(o(f)).\nAnswer: -350*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 10*o + 3*o - 75. Solve 47 = -15*m + o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9 - 1354\/4)*-2 is divided by 140?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32658 (base 13) to base 8.\nAnswer: -262034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 1:44 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 o, and 1 n when three letters picked without replacement from {w: 3, i: 2, o: 6, n: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 16*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/15*(270\/325 - (-54)\/(-90)). Factor 6\/13*t + r*t**2 + 4\/13.\nAnswer: 2*(t + 1)*(t + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1846*k**2 - 9226*k\/5 - 4\/5 = 0. Calculate k.\nAnswer: -2\/4615, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 12\/23 (b) 0.4 (c) 1\/299 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*h + 45, 0 = 4*h + 4*q + q. Let r(b) = -11*b**2 + 55*b + 11. What is the smallest common multiple of 221 and r(h)?\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 13. Let r(m) = m**3 + 5*m**2 + m - 4. Let v be r(-4). Suppose -3*x = -7 - v, -2*f + 4 = -2*x. Calculate the remainder when n is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0.0849.\nAnswer: -0.0849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 3 - 3)*(-4976*o + 1788*o + 23346*o + 24352*o - 2271*o).\nAnswer: -84478*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 497053, 993891, 1490517, 1986937, 2483157, 2979183, 3475021?\nAnswer: 3970677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-8))\/((-16)\/224)*86. Let k be 154\/70 + (-1224)\/(-30). Calculate the highest common divisor of h and k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.544 - 0.054. What is h rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 576*s**2 + 110592*s + 7077888.\nAnswer: (s + 192)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 43*v + 5. Let p be t(43). Let c(g) = 3*g - 1. Let j be c(1). Let s(h) = j*h - 9*h + h**2 + h. Calculate s(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 87277309 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865 is divided by 249.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30289462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.16 + -1.16. Let u be (2\/(-3))\/(-2 + 4). Let y = -2.6 - -0.6. What is the closest to g in -3\/7, y, u?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-9)*324\/(-72).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004643615 rounded to seven decimal places?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 7, 5 in descending order.\nAnswer: 7, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-3) - (-1 + 3). What is the units digit of (4\/3)\/(o\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421 (base 6) in base 11?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 6:44 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 3*i - 3*i)*(-19*i - i + 5*i)*((-5 + 5 + 2)*(0 + 1 + 1) + (-3 + 0 + 1)*(5 - 1 + 4)).\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -5*z**4\/12 - 47*z**3\/2 - 24*z**2 - 2*z + 2. What is the units digit of g(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17789 and 2.6361.\nAnswer: 46893.5829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38, -27, -16, -5, 6, 17?\n\"Answer: 11*k - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 - 2*k**2 + 2*k**2 + (2*k - 5*k + 2*k)*(-93 + 13*k**2 + 93) + 5*k**3 + 13 - 13 + (-k**2 + k - k)*(-1 + 1 + 2*k).\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-15\/2)*g**42)\/(g**(3\/13)\/((g*g**35*g*g)\/g*g)))**45 assuming g is positive.\nAnswer: g**(103275\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k + 10. Let x be s(-31). What is the remainder when 102 is divided by ((-4)\/(-40)*x)\/((-6)\/15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4*-6)\/(-3))\/(3*48\/180).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y - 3*y**2 + 2*y - 2*y + 4*y**2 + 2. Determine h(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82717*g*y**2 - 2*g*y - 325*y**2 - 29*y - 286604 wrt y?\nAnswer: -165434*g - 650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, i: 1}. Give prob of picking 3 v.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 756 + -749.53. Round z to 1 dp.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 59*o**3 - 93*o**2 + 5*o. Let z(m) = 28*m**3 - 46*m**2 + 2*m. Give 2*f(k) - 5*z(k).\nAnswer: -22*k**3 + 44*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from sccss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/3 + -3)\/((-4)\/(-14)). Let t(g) = g**2 + 7*g - 7. Let w(i) = 3*i - 3. Calculate s*w(x) + 3*t(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42272912 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.17 (b) 4 (c) -188986\/9 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 53\/4. What is the nearest to 1\/5 in 3, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1275 + -45)\/(3\/(-2)). Let d = y - -828. Solve d - 10 = -2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220)\/11 - -2*12\/3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u**2 - u. Let l = -107 + 87. Let p = l - -19. Give z(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*j + 4*v + 4, -2*j - 2*v + 10 = 0. Suppose -j*i + 10 = i. Solve -i*k = -4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3068\/(-1770)*144\/(-78)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746895*c + 746882*c - 260 = 0 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -10)\/(-1 - 7). Let q = g + -9\/8. Let h be (-2)\/8 + 35\/28. Is q at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 at most -21653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 7 - -4 - -14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h + 2. Let j be b(2). Suppose 3*x + 67 = 3*m - j, 0 = -3*m + 4*x + 74. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14df0 (base 16) to base 9\nAnswer: -140236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 - 45*v + 303. Let z be u(8). Solve z*g - 259*g - 24 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 14236632.\nAnswer: -1\/7118316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjzz when four letters picked without replacement from {z: 5, j: 2, q: 1, o: 1}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzz when three letters picked without replacement from {m: 5, z: 3, y: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0.5, 3\/5, 779?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Let w = -9 - -11. Which is the closest to g? (a) 0.5 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 1. Let v be g(2). Suppose -5*y + 5*c = -130, -20 = -y - c - 4. Is -14*((-39)\/y + v) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*f**2 - 21*f**2 - 19*f**2.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106406*r + 91430.\nAnswer: 106406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + -10*(-1 - -2). Sort s, -9, 21.\nAnswer: -9, s, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9582 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: 1.9 times -11764\nAnswer: -22351.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(9)*1)\/sqrt(3).\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4566 + 4586.91. What is m rounded to one dp?\nAnswer: 20.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5541*n - 11502*n + 5705*n.\nAnswer: -256*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.85 take away -11?\nAnswer: 10.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -80980, -161938, -242896?\n\"Answer: -80958*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7175 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 6 = 0, 0 = -2*o - 0*o + 5*g + 16. Find the second derivative of -i - 3*i**3 + i**o - 5*i - 3*i wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 1. Let l be (-30)\/j*36\/5. Let p = -35 - l. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/253 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 r when three letters picked without replacement from gohgughhrhrhgr?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 divided by 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765100 rounded to the nearest 10000?\nAnswer: 1770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 29. Suppose 5*l + 20 = 0, j + 2 + q = -3*l. Find the third derivative of f**2 + j*f**2 + 3*f**3 - 4*f**3 + 14*f**2 wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54913299 take away 1.36868?\nAnswer: 54913297.63132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 15. Let y be x(9). List the prime factors of y - 22 - 102\/(-4)*4.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 166*n - 23. Is a(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - d + 14 = 0. Let z be d + (-10)\/(-35) + 40\/7. Suppose -z*a = -7*a + 6. Solve -c + a*c - 1 = 5*x, -4*c + 4 = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -1. Suppose 2*s - 10 = l*v, -13 - 3 = -4*s + 3*v. What is the units digit of (7 + s)\/(0 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9175175861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8691 divided by -3.\nAnswer: 2897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -88 + 4*l**2 - 3*l**2 + 8*l - 19*l + 11*l in the form a*l + b + f*l**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 20, 0 = -r + x - 3*x + 17. Suppose -r*a + 2*a + 50 = 0. Let q(k) = k**2 - 3*k + 6. What is the units digit of q(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 342314?\nAnswer: -342304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -628997 * -1.2\nAnswer: 754796.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1556*f - 7*f**3 - 1556*f.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 - 2*b**2 - 5*b + 22*b**2)*(0 + 0 + 2 + (-1 + 1 + 2)*(0 - 2 + 1) - 2 + 7 - 3).\nAnswer: 34*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + 8540*v + 144569. Give t(-17).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1005 - 29?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 9:10 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 1\/2*s**4 - 1\/5*s**5 - s**2 + 0*s + 25 + 1\/3*s**3. Factor o(z).\nAnswer: -z*(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 11:22 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 760 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 846712*t - 1693432.\nAnswer: 2*(t - 423358)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -116*b - 344. Let h be t(-3). Solve h*c + u - 13 = 0, 2*u + 3*u = 2*c - 23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7536.3 and -0.5.\nAnswer: 3768.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -10 + (34 - 34 - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 211271859?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -9*a**2 + 3*a + 6. Let v be o(5). Let k = v + 314. Calculate the remainder when k is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2756*n**2 - 19*n - 278 + 19*n + 2753*n**2.\nAnswer: -3*n**2 - 278","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 257*a + 699*a + 85783 + 4081 for a.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 566873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 4:57 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 548, 1088, 1618, 2132, 2624, 3088, 3518?\nAnswer: 3908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -8. Let i = -3.3 - -3.2. Which is the nearest to i? (a) k (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2863173 is divided by 159064.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -741 by 247.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -8, -4 in descending order.\nAnswer: 17, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 19}. Give prob of sequence zkz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*c - 191 + 596 = -700 + 211 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0)\/(-1) - 2\/3. What is the nearest to 0.2 in 0, f, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 9:09 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/900025 and 131\/6840190.\nAnswer: 34200950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*d - 31 = -39, 3*d - 6 = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*sqrt(1053).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p - 20. Determine x(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -42347694 < -42347694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sefefexoxkxofff. What is prob of picking 3 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-3)*(-75)\/20. What is the tens digit of (-86)\/(-6) - r\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b**2 - 5\/3 + 10\/3*b**3 + 5\/3*b**4 - 10\/3*b.\nAnswer: 5*(b - 1)*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 9571671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146c (base 13) to base 6.\nAnswer: -21415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -593, -592, -591, -590?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 37*x - 611. What is f(-10)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 3*y**2 - 2*y - 2. Let b be g(-3). Let k(c) = 0*c + 3*c**2 - b*c + 2*c - 2. What are the prime factors of k(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5383673*i**2 - 129*i - 3 - 5383677*i**2)*(-3*i - i + 6*i).\nAnswer: -8*i**3 - 258*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1130123 - -100?\nAnswer: 1130223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -472221385284 - -4.2.\nAnswer: -472221385279.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10199, -20445, -30691, -40937, -51183, -61429?\n\"Answer: -10246*y + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494164529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*j. Suppose 3*s - 2 - 7 = j. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-8))\/(54\/16). Let h be 6\/(-5)*(-5)\/2. Put h, k, -0.4 in decreasing order.\nAnswer: h, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1062.\nAnswer: -1\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5*n - 47*n - 1.\nAnswer: -52*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2. Let r(a) = -6*a + 263. Let j(w) = 6*w - 237. Let p(x) = -2*j(x) - 3*r(x). Determine p(o(l)).\nAnswer: -12*l**2 - 315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/12 + (-21)\/12. Let d be (-3 - 21\/(-6)) + -2. Which is the closest to k? (a) d (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0031848 to 5 dps.\nAnswer: -0.00318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/76 and 53\/190.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*x**2 - 20*x**5 + 13*x**5 + 4*x**5 wrt x?\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 4*x**2 + 6*x + 4. Let r be f(-5). Let h be (-45)\/12 - -3 - r. Factor -h*s**4 - 1\/4 + 0*s + 0*s**3 + 1\/2*s**2.\nAnswer: -(s - 1)**2*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -3.9. Let x = -1811 - -1014. Let i = x + 798. What is the third smallest value in i, -2\/3, h, 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - f + 3 = -9*b, 5*b = -f - 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2. Let n(a) be the second derivative of 3*a + 0*a**3 + 1\/12*a**4 - 12 - 2*a**2. Determine h(n(v)).\nAnswer: 3*v**4 - 24*v**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138719*n**5 - 301*n - 1571.\nAnswer: -2774380*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1300021013?\nAnswer: 1300021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1077052?\nAnswer: 2, 17, 47, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 21106, -0.3 in increasing order.\nAnswer: -0.3, -2\/7, 21106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*w, 0*w - 3*w = -5*k - 14. Let a be 9\/(-3)*k\/(-6). What are the prime factors of -2*(-1)\/a + 13?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - j + 12051 = -38562, -2*n + 101206 = -2*j. What are the prime factors of n?\nAnswer: 2, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110110 - -1?\nAnswer: -11110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 + 43 - (2 + (0 - 1)) is divided by 72?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**2 - o - 1. Let x(t) = -7*t + 76. Let h be x(11). Determine r(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 85705, 86034, 86583, 87352?\n\"Answer: 110*m**2 - m + 85596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 56*v - 31. Let n(u) = 62*u - 34. Let g(w) = 12*n(w) - 13*o(w). Let b(l) = 15*l - 6. Give 5*b(p) - 6*g(p).\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22960 divided by -3.\nAnswer: 22960\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -8 - (-757 - -720)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 8 = 12. Suppose -w*a + 200 = a. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*((-3)\/(-3) - 1). Let g = 1903.77 - 1903. Which is smaller: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**0*b)*b)\/b)**(-3\/5)\/((b*b\/b**(-4))\/(b*b*b**(-6)*b)))**4 assuming b is positive.\nAnswer: b**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-4))\/(2\/1)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/7204 or -1?\nAnswer: 3\/7204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {s: 3, n: 4, l: 6, w: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 843*h**3*q**2 - 327*h**2*q**2 wrt h?\nAnswer: 5058*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -1323*v**5\/5 - 42*v**4 - 8*v**3\/3 - 6*v**2. Factor x(f).\nAnswer: -4*(63*f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2077\/25 + -83. Let q(l) = -l**3 - 8*l**2 - 12*l + 1. Let i be q(-6). Let t be -3*i*(-6)\/(-30)*1. Put k, t, -2\/3 in increasing order.\nAnswer: -2\/3, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010010010111111010001 (base 2) to base 8.\nAnswer: 22227721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 406*d = -407*d + 2, 0 = z + 5*d - 40 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = j - 3, -5 = -x - 4*j + 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1633632 divided by -748.\nAnswer: -2184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + 45d488?\nAnswer: 45d47b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 j when three letters picked without replacement from {d: 3, j: 1, l: 1, g: 3, u: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*m - 7. Let b = 59 - m. Suppose -4*j = 5 - b. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.59 take away 29148.9899?\nAnswer: -29148.3999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 908462167?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91)\/((-20020)\/132)*(-20)\/258.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 21010\/105 - (-20)\/(-210)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 p, 1 v, and 1 c when four letters picked without replacement from kkvwwcwcwwcppw.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + 13.78. Round h to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12970712?\nAnswer: 2, 23, 157, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 10738000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007443963761 rounded to seven decimal places?\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -276? (a) 3 (b) -3 (c) 2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -6)\/(2 - 0). Suppose g = 5*n - 16. Suppose 3*w + 2*w - n*h = 0, w - 3*h - 11 = 0. Is -5 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 21 - 8 + 3*b + 40*b**2 - 8. Is y(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 27, 12, 0, -3.\nAnswer: -14, -3, 0, 12, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -485*w**3\/3 + 3587. Let y(v) = -4*v**2. Give m(y(i)).\nAnswer: -7760*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 0*y. Let q(r) = r**2 + r + 1. Let p(j) = -7*j**2 - 6*j - 7. Let f(i) = p(i) + 6*q(i). Let l(s) = 3. Let w(m) = -f(m) - l(m). Determine w(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4) - (5 - 65\/10). Suppose 0*n = -4*d + u*n + 11, 3*d - 5*n = 0. Suppose -g + d*c = 14, 4*g + c = -c + 32. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 4. Let m(g) = 505*g - 22. Give m(x) + 6*w(x).\nAnswer: 499*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*d - 44765 = -137*d + 31939. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80739500 and 186?\nAnswer: 242218500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 1. Let z(v) be the first derivative of -7*v**2\/2 - 2*v - 649. Determine -5*i(x) - z(x).\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136 - 130. Let s be 3\/(-2)*(-8)\/z. What is the remainder when 69 is divided by 10 + 2 + 0\/s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 10*f**2 + 4*f - 17. What is the smallest common multiple of d(-9) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 102 = 84 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 - -106. Let z be 70\/t + ((-54)\/(-66) - 1). Suppose 0 = -z*l - p - 0*p, 4*l + 5*p = 0. Solve -4*o = 2*g - 14, l = 4*o - 2*g - 7 - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*u - 891 - 285 + 241 = 0 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*m = 423*m - 2, 2*m + 28 = 5*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 - 3) - 0 - (32 + 26 - 17).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9522841?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 5*q**2 + 17*q - 16. Let h be n(7). Suppose 0 = d + h, -2*g - 4 = -5*d - 5. Let i be 0 - -1 - g\/4. Solve -i*a + 4 = -0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015088.\nAnswer: 2, 63443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.019 + 15.981. What is the biggest value in q, 0.5, 4, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**4\/24 - q**3\/2 + q**2. Let b(p) = p**3 + 6*p**2 - 8*p - 4. What is the remainder when z(-7) is divided by b(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53667 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g**2 + 2 - 2)*(-29*g + 1870 - 1870) - 9*g + 9*g + 14*g**3 to the form b + j*g**2 + t*g + q*g**3 and give q.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsl when three letters picked without replacement from lllfllllllllsll.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(34)\/sqrt(2) + -3 + sqrt(102)\/(2*sqrt(6))))**2.\nAnswer: -225*sqrt(17) + 4725\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 19*n + 61. Calculate l(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*b + 49*b = v + 10, 0 = -v + 2. Sort 3, -1, 12, b.\nAnswer: -1, 3, b, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4) - 1\/(-2). Suppose -3*o + 8 = n. Find the third derivative of 2*f**5 - 2*f**2 + o*f**5 - 2*f**5 wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.07\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/15 - 310\/100.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23323 (base 6) to base 4.\nAnswer: -310203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 150296*y + 33065114. What is u(-220)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 8:39 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27033524.4 rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + d = -12, 2*k = -473*d + 521*d + 576 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 636381 + -636380.8199991. Let g = v + -0.18. Round g to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/6)\/((-40)\/60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333373 + 58530708?\nAnswer: 58197335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1872)\/(-104)*(-42)\/36\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18919401?\nAnswer: 3, 6306467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 15 + 49 = 2*n, 5*n - 132 = 4*u. Calculate the remainder when n is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -21.2. Let m = -1.2 + z. Let k = -1157\/3498 + -3\/1166. What is the nearest to k in -1, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 447 divided by -11.\nAnswer: -447\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 3*a = 3, a - 37 = n - 34 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.675888 centuries in months?\nAnswer: 6811.0656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + 30 + 9 + (3 - (10 + -4))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (298 - 321 - (-14 + 0)) + (0 - -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4\/4 + m**3\/2 - 19*m**2\/4 + 3*m\/2.\nAnswer: m*(m - 2)*(m + 3)*(3*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 218*m**2 - 96*m - 689. What is i(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 42 = 28*x. Solve -x*d + 8 = 2*m, -4*m + 5*d + 21 = -4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5161\/112832 - 2\/1763. What is the closest to -0.1 in -2, t, 2\/17, -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 7:54 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 9. Let s be -1*(y - (-2 + -1)). Solve s = -5*n - 8 - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52730 is divided by 2514?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*y**3 + 6391 + 36*y**3 + 43*y**3.\nAnswer: y**3 + 6391","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10379087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2\/15, -0.02 in descending order.\nAnswer: -0.02, -2\/15, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186\/31*(-1)\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*2*-4)\/((sqrt(168)\/sqrt(8))\/sqrt(3)).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*b - 250*b = -352*b + 193*b - 5310 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-10)*20*3\/(-168)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.54 - -2. Let y = 2.24 - a. Let u = -3 + 2.9. What is the closest to u in 6, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - l - 1. Suppose 9*f + 8 = f. Let t(y) = 3*y**3 - 12*y**2 + 12*y + 12. What is f*t(v) - 12*o(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -4, 156, 0.4.\nAnswer: -5, -4, -2, 0.4, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 13*l**2 - 15*l - 2. Let m be (9\/6)\/(3\/(-42)). Let d = 9 + m. What are the prime factors of c(d)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1395.159059 and 3?\nAnswer: 1398.159059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 435\/3 + -3 + 0. Suppose -3*c - z - 18 = -5*o, c + 128 = 4*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18866*k**3*y**2 + 3559*k**2 - 3*y**2 wrt k?\nAnswer: 113196*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -25*y**3\/2 - 25215*y**2\/2 + 10089*y\/2 - 1009\/2 = 0?\nAnswer: -1009, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b - 4. Let p = -433 - -437. Calculate f(p).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -286, -574, -872, -1186, -1522?\n\"Answer: -r**3 + r**2 - 284*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p + 0*p + 3*p - 2 + 2 + p + 35 - 35 - 13*p + (-p + 5*p - 3*p)*(1 - 2 - 1) as q*p + z and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q - 3*q + 2*q + 64*q + 20*q - 30*q - 2*q + 3 - 3 + (-2 - 1 + 1)*(-2*q + 1 - 1) - 3*q - 2*q + q + 1 - 1 + 4*q.\nAnswer: 58*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/17 (b) -0.2 (c) -672 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = p + k, 0 = -4*p + 4*k + 20. Suppose 3*i - 2*a - 2261 = -0*i, p*a = -4*i + 2988. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + (-24)\/(-16))*(-18)\/(-5). Let j be (-1 - r)\/(-8) + 3. Calculate the greatest common factor of j and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93104 to the power of 1\/2, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyy when three letters picked without replacement from hddhhhdyyhhdh?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**3\/6 - 3*x. Let r(j) be the third derivative of -1\/6*j**3 + 2*j**2 + 0*j + 0. What is -r(s) - t(s)?\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 69*a**2 + 10 - 7 - 9*a + 3*a. Let b(x) = -35*x**2 + 3*x - 2. Let k(y) = -7*b(y) - 3*h(y). List the prime factors of k(2).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 411792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/7 - 2\/7. Let o be 2\/(d - 0) + (24 - 24). Let p(z) = -z**3 + z**2 + 2. Let i(v) = -v**3 - 31 + v**2 + 31. Give o*p(t) + i(t).\nAnswer: -2*t**3 + 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 34 = 7*o. Let y = 7 - 2. Suppose 5*h = 3*q - q + 65, -3*h - y*q + o = 0. Calculate the remainder when 30 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -41 divided by -95449\nAnswer: 41\/95449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 22 = -0*x + 5*x, -q - 5 = -x. Let w(m) = m + 2. Let h be w(-6). Which is the nearest to -1\/2? (a) h (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12253745 is divided by 2952.\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7580.\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/180 and ((-399)\/14 - -24)*(-37)\/(-60).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -49 (b) 1\/4 (c) 5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55965 and 10575.\nAnswer: 39455325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*u**3 + 40977500*u**2 - 9*u**3 - 40977501*u**2.\nAnswer: -205*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -929\/3945 or -0.2?\nAnswer: -929\/3945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k*n*t - 3*k*n + 5*k - 283*n*t - 10*n - t wrt t?\nAnswer: -k*n - 283*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, v: 1, h: 2, j: 9, n: 3}. What is prob of picking 2 k and 1 j?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwh when three letters picked without replacement from {w: 3, f: 5, q: 3, h: 7, k: 2}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52052 divided by -499.\nAnswer: 52052\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-5\/4))\/(o*o**(13\/4)*o) assuming o is positive.\nAnswer: o**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 >= 578790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -301529832?\nAnswer: 301529830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81555, -81635, -81715?\nAnswer: -81795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r**2 - 1 - 3*r**4 + 14*r - 7*r**2 - 1 + r**2 to h*r**2 + b + l*r**3 + c*r**4 + m*r and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 1818.\nAnswer: 19998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/28)\/((-21268)\/17178) - 9\/39\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60572 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: Collect the terms in 109713*p**2 - 109719*p**2 - 4*p + 4*p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 41097.02 microseconds?\nAnswer: 41.09702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -6*x + 3. Suppose 4*o = -5*k - 1, 3*k + o = -0*o + 5. Let l be (-2 - -1)*(3 - k). Solve l = g + x*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (3 + -3) - 0\/17. Let q(v) be the first derivative of b*v**3 + 1\/10*v**4 + 0*v**2 + 0*v + 6. Solve q(r) = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (6 - 152\/8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 811987 and 485.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, o: 1, p: 1, u: 7, s: 1}. What is prob of sequence sw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 41, 94, 203, 386, 661?\nAnswer: 1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, u: 8}. What is prob of picking 2 a?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/3)\/(6\/(36\/5)))\/1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 1. Let d be r(4). Let t(w) = w**2 + 8*w - 4. Let q be t(-9). Let g be (1\/(-10))\/((-4)\/q). Which is the closest to 1? (a) d (b) g (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -734.4 - -734. Which is the nearest to 3? (a) -0.9 (b) 0.2 (c) q (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716 (base 16) in base 11?\nAnswer: 4493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 0, -7, 1, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4)**(-20)\/(q**(-1\/3))**(39\/5) assuming q is positive.\nAnswer: q**(-387\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = 5*q - 10*q. Let x = -53 - q. Let n(u) = 3*u + 67. Calculate the smallest common multiple of x and n(-17).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from zmrmzbmbzzbrrm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/3))**(-2\/83))**(-29))**(-27) assuming g is positive.\nAnswer: g**(522\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3029\/4920 + 118\/123. Calculate the common denominator of j and 23\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + ((-396)\/165)\/((-6)\/20)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 11 = -3*l - 17, 15 = -3*o. Let p be (-2)\/(-4) - 9\/l. Suppose p*x + 2*x - 160 = 0. Calculate the remainder when x is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90081409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -798 smaller than 185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0269301701 - 0.02693. Round h to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 2*a. Let k be o(-2). Suppose -3*w = 3*c - 51, -3*w - 4*c + 40 + 16 = k. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, c: 1, t: 4, h: 1, o: 5, v: 3}. Give prob of picking 1 v, 1 c, and 1 h.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1817?\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 8:37 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7383*z**2. Let r(y) = y. Determine s(r(w)).\nAnswer: -7383*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60315, 60480, 60755, 61140?\nAnswer: 61635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 3. Calculate the smallest common multiple of 2 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9480 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-250)\/1375)\/((-25)\/(-440))\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - -3.5. Suppose k + 34 = -2*k + b, 0 = -3*b + 12. Let q be (6\/(-9))\/(4\/6). What is the second smallest value in k, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2. Let c = -0.99986 + m. Round c to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-123)\/(-369))\/((-61)\/854).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99460 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 532, 1100, 1668, 2236?\nAnswer: 2804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 132423 less than 132421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1782314107?\nAnswer: 7, 269, 911, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2734 and 2974665818.\nAnswer: 2734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 1 - 567\/63?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 3 - (39 + -18)) + 11 + 8 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 + 96638*r\/3 - 12646113.\nAnswer: (r - 391)*(r + 97029)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15704.58 rounded to the nearest one hundred?\nAnswer: 15700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33156*v - 233 + 261 - 28.\nAnswer: -33156*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z. Calculate i(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/5))**(-7\/8))**(-46) assuming x is positive.\nAnswer: x**(161\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/((19 + -22)\/1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 12*x**2 + 9*x - 14. Let p be t(-11). Let i = 3 + p. Calculate the remainder when 19 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -746.\nAnswer: -745.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -353 - -530. What is the remainder when 345 is divided by y?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*h + 360 = 102*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, b: 1, u: 4, r: 8}. Give prob of picking 4 u.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*p - 248*p + 3002 = -148*p. Is p < -86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**5\/135 - 5*p**4\/54 + 4*p**3\/9 + 120*p**2. Let h(z) = 0. Calculate z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*i + i + 5*i)*(0*i + 4*i - 2*i) - i**2 - 3*i**2 + 5*i**2)*(-17*i - 43*i - 46*i) to the form s + q*i**3 + l*i + m*i**2 and give q.\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 257328*q**4 - q**2 - 3294754 wrt q.\nAnswer: 1029312*q**3 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(-5*b + 0*b + 2*b - 1)*((-2*b**2 + 2 - 2)*(4*b - 5*b + 2*b) + 378 - 18*b**3 - 378) as z + w*b**3 + y*b**2 + m*b + s*b**4 and give s.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/2)\/((-20)\/(-44)*550\/(-100))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + s - 43 = 0, 0 = u + 5*s - 3*s + 13. Let w(x) = x**2 + 11*x + 11. Let d be w(u). Does -7 = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*m = -5*m - 5*m + 64. Let l = 1.2 - 0.2. Which is the nearest to m? (a) -11\/5 (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 - 146*k - 685. Calculate y(-68).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 30 - 6. Calculate the highest common factor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-56637)\/8120 + (6\/(-10))\/(-1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/19 and -1\/365?\nAnswer: 6935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1726 is divided by 229?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.1078712 micrometers?\nAnswer: 0.00001078712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ab (base 12) in base 6?\nAnswer: 2335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 36. Suppose -j - 3*j = -r. Calculate the remainder when j is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/(2\/((-3)\/3)). Factor 0 + 1\/3*j - q*j**2.\nAnswer: -j*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (129\/(-18) - (-55)\/330) + 14132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1773270.\nAnswer: 2, 3, 5, 17, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47.73 + 48. Let z = -732.7405 + 733. Let q = z - y. What is q rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 201 - 69. Let q = 827 + x. Suppose -15*z + q = -43. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, w: 1, k: 2, y: 1, r: 2, q: 2}. What is prob of picking 2 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -2. Suppose -3*h = -r*w + 27, -8*h + 35 = 5*w - 3*h. Suppose t + t - 38 = -4*o, 5*t - 23 = -o. Calculate the least common multiple of o and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1012615?\nAnswer: 5, 31, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 7 = 2*v, k + k + 2*v = 2. Suppose 0 = 2*y - 4*y - 8, -3*p - 2*y - 14 = 0. Sort 5, p, k.\nAnswer: k, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10792443630.61 from -5.\nAnswer: 10792443625.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34761*g + 39809.\nAnswer: -34761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76497 is divided by 62.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.164 less than 69?\nAnswer: 68.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 8*n + 5*o - 22 = 0, 3*o - 30 = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.161 + -0.381. Let d = 17.68 + -18. Let k = d - f. Which is the second biggest value? (a) 0.3 (b) 0.13 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(11) - sqrt(396))**2 + -5 + 4 + sqrt(66)\/sqrt(6) - (sqrt(396)*1)\/sqrt(4)*2.\nAnswer: -4*sqrt(11) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8158.00077616 - -8158. Round x to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/755, -65, 4, -0.4, -5, 1\/6 in decreasing order.\nAnswer: 4, 1\/6, 6\/755, -0.4, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -259671 in -0.3, -1, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -194.49 + 192. Let m = -4.49 - i. Sort -1\/6, -5, m, 10 in decreasing order.\nAnswer: 10, -1\/6, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2597 - 13*m + 0*m**3 + 2*m**3 + 2598 - 17*m**2 as h*m + l + z*m**3 + w*m**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b**3 + 4*b**2 - 2*b + 16. Let f(z) = 7*z**3 - 3*z**2 + z - 14. What is 5*d(p) + 6*f(p)?\nAnswer: 2*p**3 + 2*p**2 - 4*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1468 + 11785\/8. What is the common denominator of v and -61\/153?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392652 take away -0.03?\nAnswer: 392652.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/41 (b) -1 (c) -190\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5963356 (base 10) to base 4.\nAnswer: 112233321130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/111681 and 47\/101691755?\nAnswer: 915225795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2736974, 5473948, 8210922?\n\"Answer: 2736974*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/3 + 4130*f**2 + 12800931*f + 153412996\/3.\nAnswer: (f + 4)*(f + 6193)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 + -2 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 6:02 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36*40\/25*10\/3. Suppose 2*v = 2*r + 130 + 256, -v + 2*r + y = 0. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 795\/((-1007)\/(-19))*98\/42\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-123)\/(-9)*(-4 - 2). Let s = -58 - t. Suppose -2*i + 1 = -25. What is the remainder when s is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2 (c) 0 (d) -0.09 (e) -3 (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 153. Let q be 1 + 0 + a\/(-2). Let i be q\/(-7)*(-192 + 3). Round i to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8622 - -11520. Calculate the lowest common multiple of i and 4186.\nAnswer: 37674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 21*y**2 - 11*y - 2. Suppose -4*p = 5*j + 8 + 9, 5*p = 4*j - 11. Let m be q(p). Let v = -65 + m. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, j: 1, m: 1, n: 1, v: 1, r: 2}. Give prob of picking 2 r and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 10. Suppose 2*a - 15 = -3*a - 5*u, -33 = -a + n*u. Suppose 72 = c + 2*c. Calculate the highest common divisor of a and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (258\/(-15))\/(48 - (-26656)\/(-560))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + ((5 - 13) + 15 - 11).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11965542 divided by 21291?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2. Suppose 0*g = g. Let o = -1 + 1. Let y(h) = o + g - h. Give y(m(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 667 and -9137.\nAnswer: -6094379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 48 (b) 11\/13 (c) -3 (d) 5\/3 (e) 2 (f) 0 (g) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 163 = 163. Solve -21*z + 20*z = t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-1) - 46\/14. Let p = 3.11 - 0.11. What is the nearest to -2\/3 in 5, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 4032051?\nAnswer: 4032043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*d + 1065. Suppose 33 = -5*x + d. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 9*k**2 - 3*k + 14. Determine m(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.5 times -2666?\nAnswer: -46655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*h - s, 10*s = -h + 13*s. Calculate the remainder when 380 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 5*g + 3. Let k = 1 - 6. Let j be y(k). Factor 4\/7*d**2 + 2\/7*d**j + 0 + 2\/7*d.\nAnswer: 2*d*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 5. Let l = -11059 - -11042. Is l less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 3*l**2 - l - 3. Let j be w(4). Suppose 0 = -8*k + 5*k + j. Solve -k*x - c = -x + 6, x - 5*c - 19 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2700)\/(-1215) + (-641)\/(-72) and -29\/418.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -7 + (4\/(-4) - -8 - -9753)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0.1. Let o = 9.9 + -10. Which is the closest to g? (a) 1 (b) o (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5\/11, 3, -0.07, 2 in descending order.\nAnswer: 3, 2, 5\/11, -0.07, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 22 = -4*m, 9*z - 14*z - 22 = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8697*s + 8697*s + 1022*s**2.\nAnswer: 1022*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - 0) + 9)*(80 - (-18570)\/(-240)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqt when three letters picked without replacement from fffqfqfqfffftff?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f. Let r(p) be the second derivative of 0*p**2 + 0 - 4*p - 1\/6*p**3. What is a(r(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11822e (base 15) to base 5\nAnswer: -203244434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -22060138015?\nAnswer: -22060138015.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l - o - 30, 4*o + 8 = 0. Find the common denominator of 2\/l*51\/2 and -97\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44066257 divided by 5\nAnswer: 44066257\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6254.718um?\nAnswer: 6254718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -140425*a**2 - 825*a + 275. Let j(t) = 1025*t**2 + 6*t - 2. Give 275*j(d) + 2*q(d).\nAnswer: 1025*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1822\/3 + 615. Find the common denominator of j and ((-3)\/(-24))\/(6\/(-372)) - 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*q**2 - 2*q**3 - 154*q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*a - 1757900 + 3*a + 878940 + 878954.\nAnswer: -61*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15729712.\nAnswer: 2, 127, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 71*n**2 + 194*n + 67. What is d(68)?\nAnswer: -613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -588 and -211.\nAnswer: -799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 13. Suppose i + 351 = w*r, -4*r - i + 279 = -0*r. What is the remainder when r is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 + 400882*n - 120529783443.\nAnswer: -(n - 601323)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7126 (base 8) in base 16?\nAnswer: -e56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344052.\nAnswer: 2, 3, 19, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**0))\/y*y*y*y\/(y**(-2)*y*y)*y*y*y\/y**(2\/11)*y**(-1\/6) assuming y is positive.\nAnswer: y**(373\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 27 = -28. Suppose -3*m + o = -1. Let w(k) = k - 3. Calculate w(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354 = 2*p + 4*p. Let k(v) = -v + 59 - p. Let h(s) = -4*s. Determine h(k(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 - 21 + y + (-1 + 3 - 4)*(0*y + 0*y - 2*y) + 1 - 1 + y + (6*y - 2*y - 2*y)*(9 + 4 - 19).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**3 - 5*a**3 + 2*a**3 + 4*a**3 + a**3 - 2*a**3 - a**3 - 4*a**3 + 2*a**3 + (a - a + 2*a**2)*(0*a - a + 3*a) + a**3 - 3*a + 3*a.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 6 = 3*d. Suppose -5*u = -d*u - 9. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 6. Suppose -2*v - 2*v + 60 = 4*o, 0 = 2*v - 10. Let w(m) = -m**2 + 10*m + 8. What is the least common multiple of u(0) and w(o)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12215 or -12206?\nAnswer: -12206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-6) + 283\/(-186). Let a = h - 122\/93. What is the common denominator of a and -125\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 4*q**2 + 3*q**2)*(0*q**2 + 0*q**2 - 2*q**2 + (0*q + q - 2*q)*(-3*q + 6*q - q) + 20 - 49*q**2 - 20).\nAnswer: 159*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + 2 - 0)*(0 - -39). Let u = a + -189. Solve -u*d - 11 - 7 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 - 1 - -3 - 4. Solve 1 = f*h + 21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q - 141515034 = 2*q + 76244366. What is q rounded to the nearest 10000?\nAnswer: 9470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elee when four letters picked without replacement from veldwwlewvevellevve?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 466 a factor of 42193038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 45 = 5*y, 0*y - 2*b + 7 = 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -629*x**4 + 120*x**3 + 1604*x**2 + 7.\nAnswer: -15096*x + 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*u*y**3 - 31548064*u*y**2 + u + 363083719*y wrt y?\nAnswer: 102*u*y - 63096128*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1794*c + 1. Let x(s) = -s**2 + 196*s - 2. Give x(w(l)).\nAnswer: -3218436*l**2 + 348036*l + 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 10*v. Suppose v = -5*p - 5*z + 15, 7*p = 5*p + 2*z + 2. Solve -2*c - 2 = 4*j - 2*j, -p*c = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -312*s**5 + 108*s**2.\nAnswer: -18720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 3) + 1 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -14*r - 7. Let i be c(-1). Which is greater: i or -0.08?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1450, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 5*r - 3. Let k be s(3). Suppose k*d - 8*d = -70. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:12 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -417781 divided by 1\nAnswer: -417781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -110001111011111 (base 2) to base 10\nAnswer: -25567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -40. Suppose l + 5 = -3*o + 73, -4*l - 4 = m. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -703? (a) 0.04 (b) -5 (c) -0.1 (d) 0 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 22244\/9, -44.\nAnswer: -44, 1, 22244\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 13*u + 4 + 30*u to j*u + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60572, -60531, -60420, -60203, -59844?\n\"Answer: 6*j**3 - j**2 + 2*j - 60579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -206765 (base 9) in base 3?\nAnswer: -20020212012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 378 + -151. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10\/6659 + -6729\/46613. Let r be (-2)\/6*-4*3. Which is the smallest value? (a) s (b) r (c) 1\/6 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2704, -2749, -2810, -2887?\n\"Answer: -8*q**2 - 21*q - 2675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3 (b) 12\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2 - 2*k + 51. Let y(v) = -19*v**2 - 11*v + 236. Let p(s) = 14*u(s) - 3*y(s). Let r(l) = -l. What is p(w) + 6*r(w)?\nAnswer: w**2 - w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 185291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, p: 5, h: 5, f: 1, v: 3}. What is prob of sequence pf?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4590 + 9179\/2. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(12)\/sqrt(3)))\/(sqrt(11) + (1*sqrt(396) - sqrt(11))) - ((sqrt(216) - sqrt(216)*-1)\/sqrt(6))\/(sqrt(132)\/(sqrt(11)*-1)).\nAnswer: 13*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 + 5*d + 1. Let x(n) = 3*n**2 + 4*n + 1. Let h = 20 - 24. Determine h*b(i) + 5*x(i).\nAnswer: -i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*c + 16, 2*j - 16 = 4*j - 3*c. Calculate the smallest common multiple of (-34)\/j + (-1)\/4 and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 6. Let h be r(-5). Solve -3 = h*z - z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-99)\/66*(-8)\/(-6). Put -1, -5, w, 5 in decreasing order.\nAnswer: 5, -1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.547911 from 4.32.\nAnswer: 4.867911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 525.\nAnswer: 8\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -193? (a) -3 (b) -5 (c) -2\/3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/6, 5, 9023?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 278 + -551. Let c = 276 + h. Solve c - 7 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (6 - -1)*-1. Let p be (20\/15)\/(d\/153). Suppose -5 = 5*r, -2*l - r + 187 = p. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.30863 rounded to 2 decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 3210 - 3210.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 611*t - 611*t + 6*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f. Let m(o) = -92860*o. Calculate m(i(t)).\nAnswer: 650020*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/3 and -85\/147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -4*k**2 + 0*k**5 + 3\/8*k**4 + 0*k - 1\/40*k**6 + 0 + k**3. Let u(q) = 0. Calculate q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/5)\/((-1)\/(-5)). Let d(c) = f - 9*c - 1 + 7*c. Let m(x) = 7*x**2. Give d(m(k)).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 279817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*12\/8\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 224*m**2 + 1554*m + 56. Determine p(-7).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2. Let j(m) be the second derivative of -m**7\/630 - m**4\/6 - m. Let s(n) be the third derivative of j(n). Calculate s(b(v)).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3 - -2) - -4. Suppose 0 = -4*p - 4*y + 12, i*p + 0*y - 23 = 3*y. Sort -2, p, 2 in increasing order.\nAnswer: -2, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 - 43 - 42 - 35?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millennium in months?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - u = -17*f - 30, -4*u - 12 = 0. Let y(m) = m - 46. Let l(v) = -2*v + 128. Let h(g) = -4*l(g) - 11*y(g). Determine h(f).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhmelemermmhhhhwee. Give prob of picking 1 w and 1 e.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(2601\/68)*(-3)\/(-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6)\/(7\/(-42)). Calculate the common denominator of p - (2\/24)\/((-6)\/244) and (4\/(32\/(-546)))\/6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -339060*t**2 - 141601 wrt t.\nAnswer: -678120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(75) + -1 + sqrt(75) + 0 + sqrt(75)) - (sqrt(75) - -1*1*sqrt(75))*1)*-6 + 2)**2.\nAnswer: -24960*sqrt(3) + 457324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13442856 and 56.\nAnswer: 13442856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14243 is divided by 1095?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 10*k**2 + 22*k - 2. Let y be t(-5). Suppose y*f - 43 = 113. Calculate the remainder when 66 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 763 and 6447.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25795303 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 28, -0.5, 2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/146 and -11\/34.\nAnswer: 2482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11517 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -75*w**3 - 7*w**2 - 2*w. Let i be a(5). Let h = -4079 - i. Let y = h - 120611\/22. What is the common denominator of 15\/2 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 2. Let m be q(1). Let o = -3\/2 - -2. What is the third biggest value in -2\/5, o, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -5, -3\/8, 7\/6, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 9:57 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2320.6314 months?\nAnswer: 193.38595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h = 6. Suppose 0*c = -h*c. Suppose 3*l + l = c. What is the third smallest value in l, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 22. Let d = -25.73 - 0.27. Let i = d - r. Which is the smallest value? (a) 2 (b) i (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-72)*(807\/2152)\/((-1)\/(-40))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2113 is divided by 63.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*b = 12, 0 = 2*p - p - b - 6. Find the common denominator of (p\/2)\/(14\/12) and (-1)\/(-7) + (-1989)\/252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12333201 + 2424?\nAnswer: -12330222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 10 = -2*a - 2*h, 0 = 2*h + 8. Let j(i) = -a*i + 0*i + 3*i. Let c(x) = -5*x. Give j(c(q)).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 163 = -167, -28 = 4*v + 2*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - 2*r - 2*r + 3*r + 0*r + (8*r + 8*r - 26*r)*(0 + 0 - 3) to the form d*r + l and give d.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 15, -194*c - 13 = -195*c - 3*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from wwwqqqqwwqqqqwhhww.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4966*z**2. Let p(a) = -21*a**2. What is w(p(o))?\nAnswer: 2190006*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.41 + -42.41. Let u = -42 - p. Let g = -196 - -1370\/7. What is the closest to 1\/3 in u, g, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47 and 50625721.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4420 divided by -85.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 - 11*r**3 + 4*r**2 + r + 19*r**3 + r**3 to the form w + s*r**2 + q*r + h*r**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*r - 86196 + 102872 = 0 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, n: 3}. Give prob of sequence fnnf.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2793 + 8378\/3. What is the closest to 2 in 2\/7, g, -5, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5 - 368*m**4 + 7626*m**3 - 17992*m**2 - 25984*m = 0.\nAnswer: -203, -1, 0, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 - 35 + 4*f - 36 to the form p + v*f and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -1\/120*q**6 + 0 + 0*q**3 + 7\/24*q**4 + 3*q**2 + 0*q + 1\/12*q**5. What is the units digit of c(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 388, 803, 1230, 1675, 2144, 2643, 3178?\n\"Answer: z**3 + 408*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277588652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u. Let y(q) = -11553*q. What is z(y(p))?\nAnswer: 23106*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*u**3 - 40*u**2 + 2737*u - 22436259 with respect to u.\nAnswer: -30*u**2 - 80*u + 2737","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Let q be 52\/20 + 4\/10. Suppose q*f + 34 = 46. Solve -o + 0 + f = j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2904 and 80520.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/51)\/(32\/(960\/18)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 7\/2 (b) 114071 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 775 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 26*d - 27*d + 5*r - 6*r, 36*d = 2*r + 296 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -4*k - 416 + 456, -8*k + 3*r = -100 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - 5.03. Let s = 0 - -0.1. Let d = 0.3 + s. What is the biggest value in 5, d, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 56490317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 12*c**2 + 58*c + 8. Let f be p(-5). What is the greatest common divisor of 1980 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/7 - 2496*k**2 + 19542420*k\/7 - 1004972184\/7.\nAnswer: 4*(k - 2157)**2*(k - 54)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266827905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -5, 8, 1, 22, -4 in ascending order.\nAnswer: -5, -4, -2, -1, 1, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/5 (b) -7 (c) 3 (d) 125 (e) 0.1 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.4668 - 0.4668. Which is the biggest value? (a) -4 (b) -5 (c) 83 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -0.2 (c) 174\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - 115. Let i = -17 - v. Let a be i\/6 - 2\/(-6). Solve 0 = -o - 1, 3*o + a = 5*s - s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9450 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 6:51 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1188 and 14784.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1591 divided by 171.\nAnswer: 1591\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 16*z - 8*z**3 + 9*z**3 + 11*z**2 - 11*z**3. Let g(a) = -2*a**3 + 2*a**2 + 3*a. Let l(d) = 4*b(d) - 22*g(d). Find the second derivative of l(f) wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457174 (base 8) in base 9?\nAnswer: 705512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 11:48 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -13 + 7 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x**2 - 24*x**2 + 17*x**2.\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4463 bigger than 4462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 302658895 or 302658896?\nAnswer: 302658895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2345324?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 1216?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142 times 0.8?\nAnswer: 1713.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 6\/21 + 192\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4)\/(-12))\/((-1)\/(-147)) is divided by 1\/(-2)*-46 - -2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 628\/(-26) - 2\/(-13). Let w be g*6\/(54\/(-15)). Solve 5*t + l - 19 = 0, -4*t + w = 4*l + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4226 + 0.0006. Let h = -0.222 - s. Let g be (-7)\/(-1) + -2 - 0. What is the smallest value in -2\/11, h, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.11 + -0.05. Let v = f + 3.94. Let m = -6 - -5. What is the closest to 0.2 in v, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 748464113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/4*(-52)\/65. Suppose 5*w + 20 = 5*p, -2*w - i + 6 = 2*p. Calculate the remainder when 5 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -14*o**3\/3 + 24*o + 19. What is the first derivative of t(v) wrt v?\nAnswer: -28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 17*k - 39. List the prime factors of i(5).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -40*o - 643. Let h = 15307\/7416 - 7\/824. Calculate the common denominator of h and a(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 5. Suppose 2*a = -a - 15. Put c, -4, a in descending order.\nAnswer: c, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xsxssxxxxsssx?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-2)*27\/4 and 9\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from {z: 2, t: 8}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -30248892?\nAnswer: 30248891.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23854393027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 - 0.35. Put -2\/15, r, -11 in decreasing order.\nAnswer: -2\/15, r, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from mhuqh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3072) + -1*sqrt(3072)))\/(-4*sqrt(16) + 4*sqrt(100)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 86545?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -316 + 64. Let c be (q\/(-945))\/((4\/(-10))\/(-1)). What is the third biggest value in 5, 4, c, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -15. Let k = 257 + -257.06. Which is the third smallest value? (a) u (b) k (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -67, -55, -53, -67, -103?\n\"Answer: -v**3 + v**2 + 16*v - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, -15, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075 take away 18.09?\nAnswer: -18.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91231 is divided by 45607.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from {d: 1, o: 4, q: 5, w: 2, b: 2}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - l**2 - 1. Let p be n(1). Let w be p*0\/(3\/(-3)). Solve -2*o - 2 = -w*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -32. Suppose 5*k + 5*i = k - 1, -2*k + c*i = -32. Find the third derivative of 6*w**k + w**2 - 10*w**6 + 10*w**6 + 5*w**2 wrt w.\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/70 and -101\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 15 = -4*o, 13092*o + 2*i + 66 = 13112*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.5778909 - -332.87.\nAnswer: 336.4478909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -20 * -345\nAnswer: 6900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/104)\/(((-39)\/936)\/((-2)\/18)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420180 is divided by 188.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w**3 - 2*w**2 - 5*w - 4. Let n be c(-1). Solve 0 = -4*q + 3*x + 13, -2*x = q - n*x - 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from neenleennlen.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 10:11 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1270658, -1270655, -1270652?\nAnswer: -1270649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -20. Calculate the lowest common multiple of u and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**3\/3 - m**2\/2 + 26*m + 99. Let j(i) be the first derivative of w(i). Let v(k) = -3*k - 1. Give 5*j(p) - 3*v(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/1 + 6 - 9. What is the units digit of -3 - -5 - z\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 55*d - 50*d. Let n be 180\/24*d\/(-10). Suppose -5*c + 5 = -20. Put c, n, -3 in decreasing order.\nAnswer: c, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 10*j**2 + 9*j. Let m be l(-9). Suppose 3*v + 2*p - 9 = m, -v + p = -0*v - 3. Calculate the least common multiple of 54 and v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = -0. Let h = 2 - 0. Suppose -h*a - 3*a = -95. Solve 0 = -5*y - 0*y + 4*t - a, -y + p = 5*t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjljbilrbfl. What is prob of sequence jlr?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1102*l - 2346. Give t(0).\nAnswer: -2346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.234, -0.3, -3, -5 in descending order.\nAnswer: -0.234, -0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/175 or -1?\nAnswer: -22\/175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 147*c**3 - 10*c**2 - 1805*c - 7. Let t(h) = -96*h**3 + 7*h**2 + 1203*h + 5. Let s(y) = -5*d(y) - 7*t(y). Find the second derivative of s(l) wrt l.\nAnswer: -378*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 488 and 4907328.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 2*g + 3. Let b be u(3). Let a be b + 8*33\/6. Suppose -22 = 3*q - 7*q + 2*k, k + 19 = 4*q. Calculate the highest common divisor of a and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -428 + 621. Let o = 124 - c. Let h = -69.0000087 - o. What is h rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 167876388.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/40, 32, -75, 5.\nAnswer: -75, -7\/40, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*f - 55 = 0, -3*u = 5*f + 11 - 4. Let t be (9*28\/(-21))\/(8\/(-4)). What is the highest common divisor of u and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-13) - 96\/(-390). Let 2\/5*o**2 + 2\/5*o - 2\/5 - i*o**3 = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*l**2 - 32*l**2 - 84*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185026157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 7*j**2 - 4*j + 6. Determine h(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46735336 and 72?\nAnswer: 420618024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2) - 22\/18. Let j = 30 - 27. What is the second smallest value in f, -3, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/d**(-8))**(-2\/11)\/(d**(-3)\/d*(((((d*d*d*d**(-4\/5)\/d*d)\/d)\/d)\/d)\/d)\/d*(d**(-2\/3))**(1\/11)) assuming d is positive.\nAnswer: d**(982\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/((-220)\/1177))\/((-1)\/(-4)). What is the first derivative of -37*u - w*u + 18 + 72 + 114 - 15 wrt u?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4 + 512*l**3 + 173865*l**2 + 11874488*l + 11701136 = 0. What is l?\nAnswer: -124, -1, 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32231, -32234, -32237, -32240, -32243?\nAnswer: -32246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (95 - (-4 - -51)) + -45.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -902*o + 3527 + 456*o + 3502 + 447*o to the form x*o + z and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*((-21)\/(-6) + -3). Let w(r) be the first derivative of -2*r**2 + 4*r - 1. Calculate the smallest common multiple of 18 and w(k).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 501*f*m**2*t*z + 22*f*m**2*z - 6*f*m*t*z + 18*f*m*t + 5*f*m*z + m**2*z - m*t wrt m?\nAnswer: 1002*f*t*z + 44*f*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -1, -2, 2, 47 in ascending order.\nAnswer: -2, -1, 2, 5, 7, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 18\/5 of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + (-37 - (-36 - -58))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*b - 147*b + 330 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 13*z - 12*z = -93, 45 = 2*x + 5*z. What is the units digit of 4\/10 - ((-16788)\/x + -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529803 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 - 182 = -11*h. Let y = 7 + h. Calculate the highest common factor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -565752.95 to the nearest one hundred.\nAnswer: -565800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33431 and 1919?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-552)\/46)\/(1216\/114)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*l + 18, 0 = -a + 3*l + 7 + 3. Suppose 2*r + f = 4*f, a = -3*r + f. Find the common denominator of 47\/12 and r\/8*508\/(-27).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -4530943293.\nAnswer: 4530943292.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u + 1616 = 28*u. Suppose -d = -2*h - 133, -2*h - u - 261 = -5*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6768*n - 19800 = -6940*n - 7244 for n.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 14*n - 70 + 0*n + 4*n + 3*n + 4*n.\nAnswer: -3*n - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-14 + 2))\/((-2537)\/172 + (12 - 0))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w**2. Let j(a) = -9*a + 4. Let q(y) = -27*y + 8. Let r(f) = 5*j(f) - 2*q(f). Determine v(r(b)).\nAnswer: 729*b**2 + 648*b + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-2)\/4*(-12 + 174160\/14525)\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c**2 - 17*c**2 - 5*c**2)*(-199 - 6*c + 199) to the form y*c + q + v*c**2 + b*c**3 and give b.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7331*d + 350 wrt d.\nAnswer: 7331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 1. Suppose -5*r + 0*a = -a - 1, -a = -4. Let s be -10 + r - (-1 - 4). Give b(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 8*w - 5*r, 0 = 5*w + 2*r - 17. Solve -20 = 2*g - 2*b - 0*b, 0 = -g - w*b + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003715 rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 4)\/(3 - 6 - 6). Let p(t) be the second derivative of -1\/18*t**4 + 0 - j*t**3 + 2\/3*t**2 - t. Factor p(m).\nAnswer: -2*(m - 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1132 (base 4) in base 9?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - (-10 - 3)) + 41 - 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261931 - 523857 - 6*w + 261926.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f - 14*f**3 + 1 + 12*f.\nAnswer: -14*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.6 - 7. Let j = g + 6.4. Let c = -6.4 + j. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -34*g - 1. Let a be k(-4). Let f be (2\/6)\/(9\/a). Suppose 5*c - 131 = -j, -c - c = f*j - 34. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116091 + -115989.878. Let b = 101 - z. Round b to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 5:18 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 49\/(-2) + (-2)\/4. Let u be (r\/10)\/(2\/(-12)). Let w = u + 30. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/(-594)*-11)\/((-4)\/18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-15)*18165\/1038.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2678772.9 rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/113, 99, -2, -1, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -37. Suppose -12 + 3 = 3*f. Let y = 3 + f. Solve y = t + l*t - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by -3679608?\nAnswer: 5\/459951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*v**2 - 2*v**2 + 5*v**2 + 0*v**2 to m + k*v + i*v**2 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from oooooxcoxqqqx?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 366 = 5*f - 438, 21125*y - 5*f + 8 = 21126*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 4. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -0.2. Let l(h) = -h + 3. Let s be l(0). Let a = s + -3. What is the nearest to -1 in y, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**4\/4 + u**3\/3 + u**2 + u + 9. What is h(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 26*l**2 - 49*l - 47. Determine n(-24).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8, 45, 0.1, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1\/10 (c) 1\/7 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -817*d**3 - 785*d**2 wrt d?\nAnswer: -4902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2. Let v(x) = -164*x. Give v(g(j)).\nAnswer: 328*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -5. Let f(k) = 5*k**3 - 6*k**2 + 4*k + 2. Let i(n) be the first derivative of 11 - 2*n + 7\/3*n**3 - 5\/2*n**2 - 3\/2*n**4. Determine b*f(s) + 6*i(s).\nAnswer: -s**3 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0357979 less than 0.03?\nAnswer: 2.0657979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 12*n + 37. Determine j(-12).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 37745\nAnswer: -37727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6799276 by 82918.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 - 5746*r - 4035899. Give b(-1223).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33002011 + -2?\nAnswer: 33002003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.338 + 0.622. Let v = y + -19. Which is the third biggest value? (a) v (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -596*p**3 + 2*p**2 + 5*p - 6. Is 17 a factor of s(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-334)\/3)\/((-9)\/27). Suppose 326*i - 2504000 = t*i. What is i rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 3*f**2 + f**2)*(4*f + 2 - 2)*(-6 + 4 - 1).\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 625, 1255, 1885?\n\"Answer: 630*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 30 = 4*w. Put -3, w, -4 in ascending order.\nAnswer: w, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**2 + 8381*l + 99663. Give x(-12).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 1\/3*i**3 + 15 - 6*i - 3*i**2. Let t(l) = 2*l**2 - 13*l - 13. Give 4*t(f) - 9*y(f).\nAnswer: -f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27064*v - 27063*v - 5 = i, 2*i + 6 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 - -11?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-seven fifths of a centimeter?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 1. Let m be z(-1). Suppose a = -2*s + 7, -3*s + 3 = -m*s. Let v(q) = -2*q + 3. Let o(h) = 6*h - 10. Determine a*o(b) + 16*v(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7731 is divided by 6960?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 1889824987 and -6.\nAnswer: 1889824981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 0*b - 6*b + 5*b. Let x(h) = 4*h. Determine x(y(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2877 - -2877.13. Put -2\/13, x, 4 in descending order.\nAnswer: 4, x, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1633?\nAnswer: 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62)\/168 + (-481)\/(-5772)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**3*m)**(-2\/19))**(-2))**30 assuming m is positive.\nAnswer: m**(480\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*b - 3*b - 3*b)*(0 - 2 + 4) - 3 - b + 3 - 2*b + 0 - 2 + 0 - 4*b + 0*b + 3*b - b - 1 + 1)*(4 - 1 - 2).\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 1663, -5 in descending order.\nAnswer: 1663, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -48, -148, -340, -654?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(8\/5)*t*t**(-2\/17)*t\/(t**(-2\/11)*t)*t*t**0 assuming t is positive.\nAnswer: t**(5296\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644 - 220 = 48*z - 680 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h + 3*c = 0, 4*h - 20 = 4*c. Sort 27, h, -1, 4 in increasing order.\nAnswer: -1, h, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396 divided by 6.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f**3 - 5*f**2 + 2*f. Let h be s(-5). Let i = h - 489. Suppose -3*d + i - 77 = 0. Calculate the remainder when d is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 2:02 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-3) - (2 + -5). Suppose -5*a + 2*a + 103 = -j*l, 4*l = -5*a + 129. Suppose -m + 2 = -13. What is the remainder when a is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12)\/h*h**(-1\/8))\/(h**(2\/33)\/h*(h\/h**(-4\/3))\/h) assuming h is positive.\nAnswer: h**(-3569\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.24 - 0.06. Let q = 34103\/9 - 3789. What is the closest to -2\/3 in 1, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**5\/60 + 5*t**4\/24 + 2*t**3\/3 - 7*t**2. Suppose 3*o - 8 = o. Suppose -o = h - d, 2*h + 20 = -h - 5*d. What is b(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 51. Let f = w + 20. Let c = f + 14. Put c, 3, -5 in ascending order.\nAnswer: -5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1339, 5732, 13175, 23668, 37211?\nAnswer: 53804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -50*s + 46*s - 25, -5*z + 125 = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 7:24 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -300811, -303719, -306627, -309535, -312443?\n\"Answer: -2908*y - 297903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 775, 803, 831, 859, 887?\n\"Answer: 28*i + 747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z. Let t(p) = -487*p + 6. Let r(x) = 599981*x - 7395. Let v(i) = -2*r(i) - 2465*t(i). What is l(v(y))?\nAnswer: 493*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l**2 + l - 28. Let h be f(-8). Let w be (1 + 5\/(-2))*70\/h. Is w >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 4*s - 4*w, 0 = -2*w + 5 + 1. Suppose 2*b + 36*q - s*q = 80, -b - 3*q = -30. Calculate the lowest common multiple of 72 and b.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 31 = -7. Suppose -5*o + c*l = 3*l - 35, 5*l = -4*o + 19. What are the prime factors of 30 + (0 + o)\/2?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 5*v + 9. Let m be x(-3). Solve -o = -5*k + 8 + m, 2*k = 2*o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2961*m - 5990. Determine d(2).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -525 + 510 + -1 + 20 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -i + 6, 4*p - 2*i = -0*i + 12. Solve p*m - 20 = 7*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287 + 8*g - 287 - g - 3*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 18\/(-135) + 686\/(-30). Is -21 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 293943, 587865, 881785, 1175703?\n\"Answer: -t**2 + 293925*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 192 = x. Let t(r) = 8*r + 6. Let f(n) = -2*n + 1. Let l(j) = 8*f(j) - 4*t(j). Let z be l(-1). Calculate the greatest common factor of x and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 5*y**2 - 150*y + 388. Determine g(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 454544.\nAnswer: -1\/454544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 - -144?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*s**3 + 145048*s - 41*s**3 - 4*s**4 - 145050*s as u*s**2 + f + l*s**3 + i*s**4 + w*s and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.41 minus 340?\nAnswer: -342.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*z + 75\/4*z**3 - 15*z**2 + 0 - 5\/4*z**4 = 0. What is z?\nAnswer: -1, 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6826, 13741, 20656, 27571?\n\"Answer: 6915*x - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.049+5572\nAnswer: 5572.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*j - 156*j + 60*j)*(0*j + j**2 + 0*j) to h + d*j + k*j**2 + x*j**3 and give x.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*(sqrt(63) + sqrt(378)\/sqrt(6)*-6)\/(sqrt(18)\/(sqrt(72) - sqrt(2)) + sqrt(9) - sqrt(9)))**2.\nAnswer: -250*sqrt(7) + 109376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6731426.\nAnswer: 2, 13, 89, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 4. Let d be (z\/(-10))\/(2\/(-10)). Let q = -7 + 11. Is q at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2033708 divided by 1016854?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*n + 25*n + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 2 (c) 2\/13 (d) 3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - k + 2*k)*(1 + 2*k - 1) + k**2 - 2*k**2 + 2*k**2 - 2*k + 3*k + k**2 + 9 - 6.\nAnswer: -2*k**2 + k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k - 51. Let r be s(9). Suppose 2*v - 1032 = -4*g, 4*g = -2*v + r*v + 1032. What are the prime factors of g?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 81b0 - -57?\nAnswer: 8237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-1 - 0)) + 5 + -4. Let r(h) = -2*h**2 + h + 5. Let s be r(z). Suppose m - 373 = -2*k, 0*m - s*k = 5*m - 1880. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -2 + (7 - (-4 + 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 10950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 168 + 20. Suppose i = -10*m + 434. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -10. Let w = x - -17.07. Round w to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226558?\nAnswer: 2, 113279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/7855083 and 59\/2.\nAnswer: 15710166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 3:58 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 1:26 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dad when three letters picked without replacement from yqyqqdqyqyaqyeqayqdy?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*47\/(27965\/(-102))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.7363 to 1 dp.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10131 + -413?\nAnswer: 4213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p + 14*i = 16*i + 280 + 113, -3*p + 5*i = 13 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 1, j: 2, n: 2, s: 6, v: 6}. What is prob of picking 1 y and 1 q?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8439595.\nAnswer: 5, 31, 54449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54033, 108068, 162103, 216138, 270173, 324208?\nAnswer: 378243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, m: 1, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000049168 rounded to seven decimal places?\nAnswer: 0.0000492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 1144*f - 23598. Determine k(-21).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 + 3*o**2 - 1388*o**3 - 7*o**2 - 3 + 1383*o**3 in the form q*o + z*o**3 + c + b*o**2 + t*o**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*x + 32. Let l be x\/(-78)*9\/6. Let s = -0.01 + -0.09. Which is the biggest value? (a) l (b) -0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2)*(-6)\/(-8). Suppose 4*n - 16 = 0, -n + 21 = -a + 4*n. Which is greater: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjpg when four letters picked without replacement from {i: 3, j: 1, w: 3, f: 1, g: 2, p: 1}?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z**2 - 415*z**2 + 37*z**2 + (2*z**2 + 3 - 3)*(1 - 5 + 2) + 2*z**2 - 4*z**2 + z**2 to a*z + u*z**2 + r and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 145 + (55 - 191) - ((0 - -2) + -34 + 0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 61\nAnswer: -30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 1253*b**2 - 7007*b - 4068182. Give i(-1256).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*sqrt(171)*2 + sqrt(171)*-3*-4)\/(4*sqrt(45)\/(sqrt(60)\/sqrt(3))).\nAnswer: -4 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 40*l**2 + 1005*l + 3004. What is the remainder when y(-3) is divided by 171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**(2\/13)\/(f*f**(1\/4))**36)**(1\/13) assuming f is positive.\nAnswer: f**(-45\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 1 - 8\/(-20)*-10. Suppose -2*z - 4*z = -18. Solve p = -2*a + z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*3 + (169 - 174). Put 40, j, -8 in ascending order.\nAnswer: -8, j, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + (4 + -1 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2970)\/792 - (-6)\/8. Sort z, -17, 3\/5 in increasing order.\nAnswer: -17, z, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 7*n**2 - 3*n - 16. Let v be f(-7). Suppose 4*r - 5*x = 18, -5*r + 2 = -x + v*x. Suppose 1 + 3 = i. Solve 3*l - r - i = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 - 44. Let p = 74 - l. Let a be 6*3\/(-45) + p\/30. What is the smallest value in 1\/5, 2\/3, a, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 - 13*k**3 + k**4 - k + 3*k**3 + 8*k**3 to f*k**4 + z*k**3 + v*k**2 + u*k + i and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 24*l**2 + 9*l - 10. Give z(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 15*p + 4. Let o be x(14). Let w be o\/(-15) - 104\/(-6). Find the third derivative of 23*c**6 - w*c**2 - 3*c**6 - 2*c**2 wrt c.\nAnswer: 2400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**5\/20 + w**4\/4 - w**3\/3 + 3*w**2\/2 + 4*w. Let h be m(2). Factor 0 - 2\/7*c - 4\/7*c**4 + 0*c**h + 4\/7*c**2 + 2\/7*c**5.\nAnswer: 2*c*(c - 1)**3*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a. Let h = -320 + 326. Suppose 0 = -2*f + 7 + 7. Let o(z) = -11*z + f*z + h*z. Calculate o(u(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61228 - 1.\nAnswer: 61227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 minutes before 7:31 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -248, -254, -258, -260?\n\"Answer: l**2 - 9*l - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432 and 90?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -618 and -617 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, -179, -1156, -3387, -7370?\nAnswer: -13603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**4\/5 - 456*d**3\/5 - 3324*d**2\/5 + 18864*d\/5 - 20736\/5 = 0.\nAnswer: -144, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 10:27 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -34. Let m = -6 + 8. Let y(t) = 3*t**m - 6*t**2 + 2*t**2 + 0*t**2 + t. What is y(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1452, -2, 10, 0, -62, -3.\nAnswer: -62, -16, -3, -2, 0, 10, 1452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1 = 3*a, 3 = -x - 0*a - a. Let q(z) = -7*z**2 - 6*z - 4. Let i = -40 + 37. Let g(n) = -6*n**2 - 5*n - 3. Let c(r) = i*q(r) + 4*g(r). What is c(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x**3 + 3*x**2 + 10*x - 22. Is y(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 25*v + 13. Let r(l) = -3*l + 19. Let b be r(9). Let j be (2\/(-2 + 1))\/(b\/52). Is 13 a factor of z(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.43843.\nAnswer: -1.31529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - k**2 - 5*k**2 + 14*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7*f + 6. Let j(u) = -4*u - 3. Let b be (96\/(-14))\/(-2) + (-12)\/28. Suppose -27 = b*v + 6*v. Calculate v*x(g) - 5*j(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 11*m**3 - 17*m**2 - 29*m + 42. Let u(q) = -4 - 3*q**3 - 10 + 591*q + 6*q**2 - 582*q. Let c(w) = 4*g(w) + 14*u(w). Find v such that c(v) = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 6*q - 6. Let x be u(-4). Suppose s - 18 = -5*j, 0 = -3*s - s - 2*j + 18. Solve -x*f + s = -7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8217248651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f + 205. Let n be v(-37). Solve 3*b + 0*d = 5*d - n, -4*b - 2*d - 18 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-18) - (-6)\/(-81)*-3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1417\/2 + -659. Let m = -1561 + 5693. Let q = 16449\/4 - m. Calculate the common denominator of f and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 819\/(-351)*18\/(-14). Solve a*n - 4 = 7*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14006501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35074\/245 - 716\/5. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 296323*s**3 + 4*s**2 + 3036.\nAnswer: 1777938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1058 + -604 - (2 + -7)\/(-1) is divided by 78?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337458?\nAnswer: 2, 3, 11, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*a*j*w - 2*a*j + 1527*a*w - a + j + 4907*w - 28 wrt a.\nAnswer: -36*j*w - 2*j + 1527*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2013 (b) 49\/4 (c) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 12. Let d(q) = -q**3 - 17*q**2 - 20*q - 7. Let c be d(-16). Let u = 65 - c. Let y be o(u). Solve a = -4*a - 20, 0 = 5*w - y*a + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103 - 211\/((-636376)\/(-310752)).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20935 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1111110000?\nAnswer: 1111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97482.58 millilitres to litres.\nAnswer: 97.48258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 618 and 34402?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p + 4. Let l(t) = -3*t. Let x be l(-1). Is (x - 16)\/(p\/(-3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -49. Calculate the smallest common multiple of 8 and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601912331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + u = 198, -3*m - 66 + 282 = -5*u. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 11:32 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15811?\nAnswer: 97, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 14*u**2\/9 + 362728*u\/3 - 621824\/9 = 0.\nAnswer: -77728, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2097 and 249?\nAnswer: 174051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*n + 16, -n = v - 5*n - 4. Let w be -1 - 1*v\/(-20). Let p = -37\/40 - w. Which is the third biggest value? (a) 3 (b) -1 (c) p (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + k. Let j(t) = 12*t**3 - 40*t. What is 8*b(x) + j(x)?\nAnswer: 4*x**3 - 32*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ya when two letters picked without replacement from yycyyaccyyyyyyyyyyya?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 30 - 22 - 7*b.\nAnswer: -7*b - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, k: 1, p: 1, s: 3}. Give prob of picking 1 p and 3 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(208)\/(-6*sqrt(144)))\/((sqrt(28)*-3*-6)\/sqrt(7)) + -3).\nAnswer: -15 - 5*sqrt(13)\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n - 1960 + 1612 = -96*n + 2132 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(((a\/a**6)\/a)\/a)\/a)\/(a**(-1\/18)\/a))\/(a**0)**14)**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 897744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3493920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4474, 10065, 15656, 21247, 26838, 32429?\nAnswer: 38020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39.1 - -39. What is the second smallest value in 0.08, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2088 and 134.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-3)\/12*-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 10 - -7) + 5 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 1, -3, -8 in increasing order.\nAnswer: -8, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213319264 divided by 106659632.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 2)*(-58*l**3 - 27*l**3 + 124*l**3) in the form w + t*l + b*l**2 + m*l**3 and give m.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2*y + 3 + 18*y.\nAnswer: 20*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -40*t**2 + 10*t - 316. Let w(p) = 26*p**2 - 9*p + 316. Give -2*o(h) - 3*w(h).\nAnswer: 2*h**2 + 7*h - 316","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3328.998935 - 3329. What is o rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 1)\/2 - -1268 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 14) to base 5\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 1)*(-93*a**4 - 155*a**4 + 59*a**4) as w*a**4 + b*a**2 + m*a + t*a**3 + i and give w.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 11:26 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_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: Which is the third biggest value? (a) -126 (b) 141 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -428, -847, -1288, -1763, -2284?\n\"Answer: -2*r**3 + r**2 - 408*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a factor of 14889304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 11:32 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 878.4062 tonnes in grams?\nAnswer: 878406200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + z**2 + 1. Let l(g) = -2*g**3 - 4*g**2 + 3. Suppose 6*q = 2*q + 4. Let v(h) = q*l(h) + 3*f(h). Suppose 13229*t = 13151*t. What is v(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 116440*o**3 - 1694784200*o**2.\nAnswer: -2*o**2*(o - 29110)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/30*(-40)\/84. Which is the biggest value? (a) f (b) -18 (c) -4.7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3076588459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r - u + 8, -2*u = 4*r - 26. Suppose -3*q + 120 = 2*q. Suppose q = r*k - 2*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -3, -4, 5 in descending order.\nAnswer: 5, -3, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3908 + 17881. Let u = -167827\/12 + p. What is the common denominator of u and -99\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*w**2 + 2*w**2 - w**2)*(3 + 3 - 4) + (-2 + 2 + 2)*(w**2 - 2*w**2 + 3*w**2) - 8424*w - 1758*w**2 + 8424*w)*(w**2 - 5*w**2 + 2*w**2).\nAnswer: 3504*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1025)\/123*36\/(-90)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70200\/39000*(-5)\/6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**20*y*y**(-2\/5)*y**(-3\/8)\/y**44)**30 assuming y is positive.\nAnswer: y**(-2853\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 478885163830739 and -0.5.\nAnswer: 478885163830738.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1\/10)\/(25 - 26)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 15 = 0, -5*v - 21 = -123*g + 120*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*4*4\/16. Let i be (-1799)\/28 + c\/(-8). Let k = i - -95. 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 next term in -10, -31, -64, -115, -190?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -669 and 0.216.\nAnswer: -668.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 219, 189, 137, 69, -9, -91?\n\"Answer: n**3 - 17*n**2 + 14*n + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 102\/357*(0 + (198 - 2)). Calculate the greatest common factor of m and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 208 + 220 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18539, 74156, 166869, 296684, 463607, 667644, 908801, 1187084?\nAnswer: 1502499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 6418612?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 548*y**3 - 11*y**2 - 39 wrt y.\nAnswer: 3288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*c - 0*c. Suppose -12 = -l + c*l. Is (2\/(-8))\/(l\/1416) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 2*k - 1. Suppose -5*o + 45 = 50. Determine w(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -2438268?\nAnswer: 1\/2438268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Let i = 4 + -5. What is the closest to k in i, 2\/13, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j*s**4 + 8*j*s**3 - 11*j*s - 22*s**2 wrt s.\nAnswer: 48*j*s + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 9*s + 12. Let k be q(10). Let n(p) = p**2 - 8*p + 1. Let b be n(5). What is the common denominator of -1 + 66\/b + k and 33\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-328)\/(-4018)*(-6 + -1) - (-51)\/28. Factor -150*n - c*n**3 + 115\/4*n**2 - 180.\nAnswer: -5*(n - 12)**2*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33932 is divided by 11306.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*b - 2)*(1 + 2*b - 1)*(-6*b + 3*b + 5*b).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35976?\nAnswer: 2, 3, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*n + 21, 14*n + 2*u + 18 = 12*n. Sort 2, n, 3, -177 in descending order.\nAnswer: 3, 2, n, -177","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.085 and 131.98.\nAnswer: 11.2183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*j**3 + 300 - 233*j**3 - 111*j**3 wrt j.\nAnswer: -933*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*a + a - 2, -3*a - 3 = -2*t. Let v be ((12 + 0)\/2)\/a. Let q(x) = 7*x + 13. Let b(z) = 11*z + 20. Let i(k) = -5*b(k) + 8*q(k). Calculate i(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002818 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 64132.4 meters in nanometers?\nAnswer: 64132400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 642 and 134898.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 29\/(15138\/36)*-1\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -314418 or -314419?\nAnswer: -314418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21039 + -18548. Calculate the greatest common divisor of x and 212.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*x + 5931 - 2319 = 0, 5*c - 4515 = 4*x. Calculate the remainder when c is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73725 and 2?\nAnswer: 147450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 1292*n**5\/5 + 14*n**3\/3 + 3*n**2 + 972. Find the third derivative of m(u) wrt u.\nAnswer: 31008*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s - 9. Let l be p(-5). Suppose -233 = -l*u - 200. Which is the biggest value? (a) -1\/4 (b) -2\/9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 1, z: 1, y: 1, t: 1, k: 2}. What is prob of picking 1 i and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/sqrt(3))\/sqrt(12))**2 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/280, -2.8, 0.1, 5, 1 in descending order.\nAnswer: 5, 1, 0.1, -1\/280, -2.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) -2 (c) -56 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -2*b - 2*h, -10*b + 0*h + 318 = -h. Calculate the remainder when 142 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18146 + 18145.990969. Round s to four dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 7\/2 (c) 0.4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 1:58 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 67959958 at least as big as 67959957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/4 - 45*z**2\/2 - 243*z\/4.\nAnswer: -3*z*(z + 3)*(z + 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + -0.05. Sort -4, t, 3 in ascending order.\nAnswer: -4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 5:49 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -25*t**2 - 91012545*t - 72810020 = 0.\nAnswer: -3640501, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 1, -2\/3, -2\/89 in decreasing order.\nAnswer: 1, 1\/7, -2\/89, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -664*f**2*t**4 - 42*f**2*t**2 - 3*f*t**4 + 9*t wrt t.\nAnswer: -15936*f**2*t - 72*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.2. Let w be 0 - 19 - (4 + -5). Let f be w\/(-8) - (-4)\/(-2). Put i, 2\/11, f in decreasing order.\nAnswer: f, 2\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 11) to base 2.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/141890 and 23\/350?\nAnswer: 709450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*y + 3*t + 26, -23 = 5*y + 2*t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3947239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83562675?\nAnswer: 3, 5, 7, 159167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 6 + 3*o**2 - 6 - 3*o**2. Let m(t) = 9*t**2. What is m(d(p))?\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - y - 4. Let k be 1 - 6\/3 - -5. Suppose 5*h + 0*m = 4*m - 10, 0 = -k*h + m + 3. Let d be h\/9 - 4\/18. Give l(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638.694 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*n - 146560, 15*n + 87936 = 18*n - 2*l. What are the prime factors of n?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1251265 times -0.6\nAnswer: 750759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 33*g**2 + 3*g + 90. Let w be k(-33). Let s be 87\/(-9) + 4\/6. Are s and w non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1281, -1280, -1277, -1272, -1265?\n\"Answer: y**2 - 2*y - 1280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**3\/3 + 313. Let i(c) be the third derivative of 3*c**5\/20 - c**2. Calculate i(n(v)).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*(-1*sqrt(171) + sqrt(171) - sqrt(171) - sqrt(171)))\/((sqrt(225) - -1*sqrt(225)) + sqrt(225)))**2.\nAnswer: -304\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - p + 34, -4*p - p + 18 = k. What is the highest common factor of 64 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 12:33 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34027 by 34027.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 10*t**2 - 9*t - 3. List the prime factors of n(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149 + 158 - 2*n - 457 + 155 + 0*n.\nAnswer: -2*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 (base 9) in base 6?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31721 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 22 = 4*a, 0 = a - 2*w - w + 12. Suppose 5110 = 3*k + a*p - 1109, 4*p = 12. Find the common denominator of -71\/22 and 2\/5 + (-1633)\/k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 63932\/35*(-3)\/8. Let j = l + 3386\/5. Find the common denominator of j and 113\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**3 + 4*z**3 - 3*z**3)*(2 - 2 + 3*z) + 178*z**2 - 185*z**2 - 2*z**4 - 18*z**4 to s*z**3 + o*z**4 + l*z + h + k*z**2 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/49 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 2140, -3, 0.12, 0.3 in increasing order.\nAnswer: -3, 0.12, 0.3, 3\/2, 2140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-6)*(-4)\/(-33). Let p = 39 + -349\/9. Which is the second biggest value? (a) -1 (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1219 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 209 - 3*j**3 - 24*j**3 - 220 with respect to j.\nAnswer: -81*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**2 + 510*b + 3815 = 0?\nAnswer: -7, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 7:01 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2275 + -2272. Suppose -3*v - 5*b = 4, -5*b + 3*b - 8 = -2*v. Suppose -4*x - g*l + 1713 = -1958, 2*x - 1832 = v*l. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*q - 16*h + 21*h + 1 = 1, -4*q = 5*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -303 or -264?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 6*g - 253766, -78840 = -2*m + 5*g + 48049. What are the prime factors of m?\nAnswer: 11, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - 0.046721?\nAnswer: 0.553279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 40 = -30. Let c = 39 + n. Solve 3*a = -2*a - c*z - 21, z = -2*a - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - i - 9*i**2 + i**3 - i**3 - 13*i**2 to p*i + v*i**2 + n*i**3 + x and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 27*t + 9. Let f be p(-14). Let r be 49\/7 - (3 - f). Is r > -12\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2687 * -0.3.\nAnswer: 806.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2086977580 and 6260?\nAnswer: 6260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -15080*z + 15078*z + 12, h = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 11*u - 4. Let j be i(-10). Suppose 1 + 25 = -3*b - 5*v, 4*v = b - 14. Let n be b + 2 - (-7 + 2). Solve 3*r = n*r - j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96745259521*p**3\/2 + 61433238551679*p**2\/2 - 395019528*p + 1270.\nAnswer: (p + 635)*(311039*p - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20900*l**3 - 24600*l**3 - 26349*l**3.\nAnswer: -71849*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z**3 - 273*z**2 + 3039*z - 26. Calculate g(9).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 436 + -435. Let h(f) = 5*f - 3. Let x be h(2). Let y(a) = 2*a**2 - 14*a - 4. Let k be y(x). What is the closest to m in k, -3\/7, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 22*m**2. Let h(u) = 2*u**2 + 2*u + 1. Let l be (-1 + 0)*((-11 - -5) + 12). Let c(x) = 9*x**2 + 12*x + 6. Let d(k) = l*h(k) + c(k). Calculate d(g(t)).\nAnswer: -1452*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 153065, 153063, 153061, 153059, 153057?\n\"Answer: -2*z + 153067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3267 and -161\/65340.\nAnswer: 65340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6667 is divided by 2221.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {x: 1, d: 7, y: 6, s: 4}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*p = 88 + 81, 4*t = 3*p - 119. Let d = 85 + t. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 - -69. Calculate the lowest common multiple of (2\/(-4))\/(j\/(0 + 208)) and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1900430 and 4760?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 550506.5 years to centuries.\nAnswer: 5505.065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0.25. Let h = 0.014 - -0.036. Let g = h - l. What is the nearest to 2 in g, 1, -2\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159 - -95. Let t = -39 - p. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32737215883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 + 1014\/11. Let w = 12.5 - 15. Let r = 0.5 + w. Which is the third biggest value? (a) r (b) z (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598276183?\nAnswer: 598276183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8*q - 2. Let m(g) = -7*g - 2. Calculate -4*a(r) + 5*m(r).\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 6 = 2. Let u(w) = -w**3 - 7*w**2 - 6*w - 1. Let j be u(-6). Let h be (j\/a)\/((-4)\/(-8)). Which is greater: -2\/9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 911\/((3 - 0) + -2). Suppose 0 = -2*l + q + 597. Let m = l + -501. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110382 and 3421842.\nAnswer: 3421842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 352*q**3 - 237.\nAnswer: 1056*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 = 17*y + 20*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26*26\/11492)\/(10*9\/45)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, p: 9}. What is prob of picking 4 p?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 - 22.15. Let h = s - -7. Let n = -15.00021 - h. Round n to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfp when three letters picked without replacement from {y: 2, m: 1, t: 2, p: 2, j: 1, f: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 18*i**2 + i - 2. Let d be m(-5). Let f = -436 + d. Suppose -18 = -0*j - 3*j. Solve 2*z + f*o = 3*o - j, -2*z - 3 = 3*o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 12*i**2. Let v(n) = 5*n**2 + 3*n. Let q(g) = g**2 + g. Let w be -3*((-1)\/(-2))\/(4\/(-8)). Let c(a) = w*q(a) - v(a). Calculate c(p(k)).\nAnswer: -288*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**5\/7 - 100*m**4\/7 + 348*m**3\/7 + 292*m**2\/7 - 1208*m\/7 + 96 = 0. What is m?\nAnswer: -28, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 0) + (7 - 5). Let h(c) be the second derivative of 0 + 0*c**5 + 0*c**4 - 3\/2*c**2 + c + 1\/10*c**v + 0*c**3. Differentiate h(w) wrt w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1362, -1386, -1432, -1500, -1590, -1702, -1836?\nAnswer: -1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 9*v - k - 11 = 0, 14 = 6*v - 4*k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -50*n - 3. Let w(h) be the third derivative of -h**4\/12 + 427*h**2. Determine q(w(u)).\nAnswer: 100*u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9340460 is divided by 72?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 682390 to the power of 1\/2, to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -b - 0*b + 2*g, -3*b + 4*g = -5. Let p be 0 + ((-10)\/6 - b). Suppose -4 = 2*z - 2. What is the closest to 0 in z, -2\/5, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1758 - 1757.9. Which is the nearest to z? (a) -1 (b) -22 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3220377 centuries to millennia.\nAnswer: 0.03220377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.033, -3, -354, 0.1, -1?\nAnswer: -354","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669 is divided by 35\/28*89 - (-3)\/4?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9143 - -725. Suppose 18*p - n = 21992. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyymycycayyy. What is prob of sequence am?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 917230.7cm?\nAnswer: 9172307000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 269594265\/2719 - 99152. Find the common denominator of -79\/2 and i.\nAnswer: 5438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5754 = 103*k - 941. Solve -k + 9 = -28*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v**3 + 0*v**3 + 12*v**3 - v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, -2\/363, 1, -0.4?\nAnswer: -2\/363","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14156133 (base 7) in base 6?\nAnswer: -44222350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33648 and 384.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0.2. Let w = -2.9 + -0.1. Let t = 2 + w. Which is the closest to -1? (a) t (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f4 - -15?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-14)\/(20 + 1089\/(-55) + (-41)\/5))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a factor of 8149599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8793 (base 11) in base 10?\nAnswer: 11597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n. Let a(s) be the third derivative of 283*s**5\/20 + 5716*s**2. Calculate p(a(o)).\nAnswer: -2547*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, 30, 3, 1\/4, 0.23?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/((-748)\/(-363)) + 25.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {j: 4, t: 2, i: 5, a: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*g + 3, i - 9 = -i + g. Suppose -9 = -3*j + i. Suppose -j*t + 3*v = -2*v - 82, 117 = 5*t + v. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**2 + x - 6. Let g = -24 - -25. Let r(p) = p**2. Let w(m) = g*k(m) + 4*r(m). Let y(l) = -l**2 + 7*l - 6. Let b be y(6). What is w(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 393169460\/11 or 35742679?\nAnswer: 393169460\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 24 - 17*z**3)*(-2 + 2 + 1).\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + o, 8*a = 3*a + o. Let b(m) = -3 + 2 + a + 3*m + m**2. What is the units digit of b(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95*z**5 - z**3 - 2*z**2 + 10067*z wrt z?\nAnswer: -1900*z**3 - 6*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/176 and -1\/110.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.257 - -45619486\nAnswer: 45619485.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 101*a + 513. Give o(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3. Let n be p(1). Let d = 7 + n. Suppose -d*s = -2*s. Solve 5*x + 30 = 5*w, s*w + 29 = 5*w - 4*x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + -1000?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 252 = -3*m - m, -5*m - 2*v = -315. Is m a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*o + 1 + 3*o - 569*o.\nAnswer: -610*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**2*x**5 - 3*w**2*x + 93*w*x**5 + 10*x**2 wrt x.\nAnswer: 120*w**2*x**2 + 5580*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -204*s + 102. What are the prime factors of z(-8)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 11*x**5\/4 + 14016*x**4 - 412294*x**3 + 3585717*x**2\/2 + 79643453*x\/4 - 11110605\/2 = 0.\nAnswer: -5126, -5, 3\/11, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 47329?\nAnswer: -47328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -2\/15 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511140 to the power of 1\/2, to the nearest integer?\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = -12*j + 15*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 43 - (7 - -37) - -18\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12906450 a multiple of 867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 17. Let m = 25 - f. Let t = 78 - 57. Calculate the highest common factor of m and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1002.49 - 999. Let s = i + -3.59. Let w = 0.7 + -0.4. Put -0.2, s, 1\/10, w in decreasing order.\nAnswer: w, 1\/10, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 0*j - 2*j + 45, 3*d - 5*j = 58. Calculate the remainder when 267730\/9142 + 2\/14*5 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 - -0.07?\nAnswer: -123.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 7*w + 17. Let t be (-9)\/15 + (-86)\/(-10). Let g = -17 + t. Let z be q(g). Are z and -0.07 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m = -579 - 125. Calculate the highest common divisor of m and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a millennium?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4547979 is divided by 2273989?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aahhakaahkaakk. What is prob of picking 2 h and 2 a?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43180, -86353, -129514, -172657, -215776, -258865?\nAnswer: -301918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 5*w**2 + 7*w + 40. Determine g(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, 2, 72, -2.\nAnswer: -2, 2, 4, 10, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**2 - 10. Let n(t) = -5*t**2 + 8. Let b(c) = -5*n(c) - 4*u(c). Let i(y) = y**2 + 8. Give b(i(v)).\nAnswer: v**4 + 16*v**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292864585?\nAnswer: 5, 13, 179, 25171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 80 = 17*v. Calculate the greatest common divisor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/15*723 + 1452\/165 + -9\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1210\/(-968)*12\/70?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y = -5*c, 4*y = 4*c. Suppose -5*i + 46 - 1 = c. Solve 4 = -2*f - 2*p, 5*p + i + 5 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 72382 (c) -0.55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 5*v**2 + v + 6. Let c(o) = 2*o**3 + 4*o**2 + 2*o - 2. Let k be c(-2). Let d = k - -1. Give j(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5476*q**2\/9 + 592*q\/9 - 16\/9.\nAnswer: -4*(37*q - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3 + (0 + 1 - 3)*(-3 + 2 + 3))*(-2 + 0 + 3)*(-37 + 30*k + 37).\nAnswer: -90*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 12*r - 81. Determine x(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 34\/5 of a gram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5225*a**4*p**2 - 5*a**3*p**3 - a**2*p**3 + 24*a**2 - a*p**3 - 135*a wrt a.\nAnswer: 125400*a*p**2 - 30*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(1\/2)*z*z)**(-24\/7))**14)**(3\/8) assuming z is positive.\nAnswer: z**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3018 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/9*(-18)\/(-4). Suppose -x*g = -12*g - 144. Let m = g + 26. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 13*r**2 - 24*r - 28. Determine a(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -34. Suppose 6 = 2*t - 2*f, 2*t + 4*f = -0*f - 12. Let h be -7 + t\/4 + 2. Which is the second biggest value? (a) h (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**2 - 11*z - 6. Give q(-4).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1297062 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -25. Let j be -3*10\/135 + (-65)\/r. Let q be 2\/j - 82\/(-7). Calculate the greatest common divisor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15\/((-6)\/16 - 99\/(-88))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3 + 554448*r**2 - 554460*r - 1108904 = 0.\nAnswer: -138613, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 209 = -28*i + 131 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9\/41 + -68\/123. What is the fourth smallest value in -3, -0.08, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 18 - 58 - -35?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 9:16 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2713650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*p + 200*p + 22*p**2 + 2552*p**3 - 22*p**2.\nAnswer: 2552*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 12. Let q = 2.5 - 0.5. Let f = 0 - q. Which is the smallest value? (a) -1\/2 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4499801, 8999601, 13499401?\n\"Answer: 4499800*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w. Let m(v) be the first derivative of v**5\/40 + v**3\/3 - 21. Let l(c) be the third derivative of m(c). Determine q(l(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2337 - 2747. Find the third derivative of 4*z**4 + 55*z**2 - 1271*z + 15*z**3 + u*z wrt z.\nAnswer: 96*z + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160973400 divided by 804867.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41925692?\nAnswer: 2, 47, 223009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -k + 4*b, -3*k + 2*k = -b + 4. Let a be ((-3)\/6)\/(k\/(-14)). Suppose -2*i + 3 = -a. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 9:17 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101 + 1010010000010010?\nAnswer: 1010010001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*n - 128 = 0, 2*g + 6*n = n + 267. What are the prime factors of g?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - u + 8. Let h be t(-12). Suppose 19*r - h = 17*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 2*u**2 + 2*u**3 - 17*u + u**4 + 1\/5*u**5 + 0. Factor p(c).\nAnswer: 4*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 350?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4229 = -2*z - 42*w + 43*w, -3*w = 5*z + 10589. Suppose u = -3*u - 3*m + 12428, 3*u - 9321 = 2*m. Let d = u + z. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12579 (base 10) to base 11.\nAnswer: -94a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + -1 - ((66 - 11) + -31)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 16. Calculate the least common multiple of 2 and y(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5301*j**3 + 4*j**2 - 1032*j + 3?\nAnswer: -31806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 at most -358\/285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o - 37 + 198. Find the second derivative of -2*y**5 + o*y - 7*y + 17*y - y + 3*y**2 wrt y.\nAnswer: -40*y**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 353*(3\/(-4) - -1). Let q = -90 + b. Is q not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 20*a**3 - 18. Suppose -180 = -9*x + 144. Let f(d) = -d**3 + 1. Give x*f(b) + 2*w(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) -4 (c) 0 (d) -1\/6 (e) -962 (f) -2 (g) 105\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -239212, 2 in decreasing order.\nAnswer: 2, 1, -239212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/180 and -103\/222876.\nAnswer: 1114380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1260 + -119699\/95. Let z = 199\/855 - q. What is the smallest value in 0.1, 0.4, z, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-7 + 9 - 3*h - 5).\nAnswer: -6*h - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/75 + (-43)\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, p: 4, i: 4}. What is prob of sequence pipz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -311110313?\nAnswer: 311110303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Suppose 3*l = -2*d + 168, v*d - l = -3*d + 230. Suppose -4*g = 2*a - 82, 3*g - 2*a - 2*a = d. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 2*v = -8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-28)*(-30)\/(-12)*(14 + (-1771)\/115)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230150, 460296, 690442, 920588, 1150734, 1380880?\nAnswer: 1611026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 - (1 - (-5 + 15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 209717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 - 71. Let s be (g\/(-10))\/(0 - 1\/(-30)). Solve 3*o = -0*k - 5*k - 37, 0 = 2*o - 4*k - s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -32. Let p = 901.2 + -901. Which is the fourth smallest value? (a) v (b) p (c) 0 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57c (base 15) in base 2?\nAnswer: -10011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -227576 * 362.\nAnswer: -82382512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*sqrt(60)\/(sqrt(24)\/sqrt(2)))**2.\nAnswer: -60*sqrt(5) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12034 + -10042. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2579900 to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 - 2*h**2 + 3*h + 3. What is l(-2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28912849348309\/12026 - -2404195019. Let a = 1\/1718 - y. What is the common denominator of 4\/19 and a?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19002 + -579002. Round i to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110419 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1411175*t**3 + 21*t**2 - 4787 wrt t.\nAnswer: 8467050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**4\/12 - 2*a**3\/3 + 7*a**2\/2 + 10*a. What is the remainder when (3 - (-530)\/5) + -6 is divided by j(-5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**7\/1260 + c**6\/60 + 3*c**5\/20 - 19*c**4\/24 - 10*c**2. Let g(s) be the second derivative of p(s). Factor g(n).\nAnswer: 2*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -5. Solve k = -d - 2*d - 2*c, -5 = 4*d - 3*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 898090 divided by 1\nAnswer: 898090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 185764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43827729 take away 0.5?\nAnswer: 43827728.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163, -640, -1437, -2560, -4015, -5808?\nAnswer: -7945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + v - 49898 = 0, 5*m - 142*v = -139*v + 124778. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 2. Let l be (-6)\/(-9) + 17\/(-3). Let s be g(l). Suppose -29 = -4*i + r, s + 36 = 5*i + r. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*b + 6, -2*b + 4*b - i = -10. Let g be 2\/b + (-7)\/(-2). Let d = 2 - g. What is the smallest value in 0, -2\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 14*w = 4384. What are the prime factors of w?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d - 10. Suppose 4*h = 4*a + 16, 2*a + 14 = 6*h - 2*h. Suppose h*x - 6 = 4*x. What is the units digit of c(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 76 + 155 = 0. Let k = 220 - u. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 + -1.9. Let z = -5.05 - -0.05. What is the third smallest value in o, -1\/6, z?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -133*f**2\/2 - 155*f + 74. What is the hundreds digit of g(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -40. Let m be (12\/(-8))\/((-9)\/24). Suppose j = -m*j - 20. Sort j, 0, g in descending order.\nAnswer: 0, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**4 + 903*y**3 - 10512*y**2 + 31212*y = 0.\nAnswer: 0, 6, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*v + 83 + 185 = 0, 3*y = -5*v + 176. Is 26 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111 - -891\/8. Let q = -0.2 - -0.3. Let v = q - 0.3. Which is the second smallest value? (a) m (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - f - 12, 2*k + 5 = -5*f - 7. Suppose 4*n = -b + 17, k*n + 2 = 4*b - 6. Suppose 0 = b*v - 279 - 276. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 2:02 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.526 - 0.026. Let x = c - -38.2. Let g = 41 - x. Does -0.04 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7834*d + 8053. Is q(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 33?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -51.9. Let o = 76063476 - 76063478.09999964. Let p = o + v. Round p to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)*h*h**(-16))\/((h\/h**(-3\/13))\/(h\/((h*h**(-12)*h*h)\/h))) assuming h is positive.\nAnswer: h**(-123\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21975733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6866 - -123437\/18. Let z = 243973\/52 - 9387\/2. Calculate the common denominator of n and z.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25586085 + 25323292.091. Let v = -262569 - i. Let k = 224 - v. What is k rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by ((-2)\/(-10))\/((-1)\/(-95))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108168 + 18168 = 3*d. Round d to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppuu. What is prob of sequence pup?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 2. Suppose -4*j - w = -128. Let x = -98 + 143. Calculate the greatest common factor of x and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1411830, 1411831, 1411832?\nAnswer: 1411833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106.2 + 123. Let m = q + -16.5. Put m, 4, 1 in increasing order.\nAnswer: m, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*s - 2 - 3 + 5 as j*s + l and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8007105 rounded to 2 dps?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6953567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 319351 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 60744.52 meters in centimeters?\nAnswer: 6074452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 116 = 5*n + 31, -2*n + 40 = y. Solve -5*q + 4*l = -n, 9*q - 5*q = -5*l + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 37 = -3*q, -6*q = -2*q + 5*u - 34. Suppose y = -5*c + q, 0*y + y + 3*c - 15 = 0. What is the common denominator of y and -48\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103745 != 103746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/93 - 109\/744. Let h = 0.0779 + 5.9221. Let p(w) = 2*w + 1. Let v be p(2). Which is the nearest to h? (a) 0.2 (b) r (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 10100010011?\nAnswer: -10100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 54429.16 seconds?\nAnswer: 54429160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295001 is divided by 21024.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 2. Let h be d(4). Suppose -g + 24 = h*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 20*n. Let z(u) = 282*u + 6770. Let i be z(-24). Let d(c) be the third derivative of -36*c**i + 0*c**4 + 0*c + 0 - 1\/30*c**5 + 0*c**3. Give h(d(q)).\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5*-69\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -309*f. Let b(m) = 36*m + 191. What is b(l(t))?\nAnswer: -11124*t + 191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**25\/((v**(-5\/2)*v)\/v*v)*(v\/v**11*v)**(2\/11))**44 assuming v is positive.\nAnswer: v**1094","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t = 83*t - 334*t - 9996 for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8*w**3 + 1. Let a = 2 - 3. Let s be (-1 - -3)\/(1 - a). What is m(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**3\/3 + 4. Let y(f) = -46*f + 109*f - 4 - 60*f. What is s(y(l))?\nAnswer: -9*l**2 + 24*l - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3 + 2150*b**2 + 187968*b = 0 for b.\nAnswer: -979, -96, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4038 and 456.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 3*z + 8. Let a = 10 + -6. Let j be o(a). Solve j*l = -2*p - 6, -l + 3 = 2*p + 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223\/(-45) + (-8296)\/(-2074)*((-35)\/(-4))\/7?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j - 2*j)*(-7*j - 14*j + 4*j).\nAnswer: 34*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, p: 2}. What is prob of sequence aaaa?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n + 22*n**2 + 59*n - 49*n + 34247 - 34247.\nAnswer: 22*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8*((-217)\/2)\/((-2513)\/(-2872))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (240*(-61)\/(-1464))\/((-2)\/(-12)*2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 9) to base 10\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 614, 5, -51, 6 in descending order.\nAnswer: 614, 6, 5, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -14 - (-58)\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*y + 81 = -125, -5*z + 324 = -3*y. What is the highest common divisor of z and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550741 is divided by 78676.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116781.9057 - -116774. Let o = -7.9 - m. What is o rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -11*v + 70. Let s be k(6). What is the greatest common factor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*u + 13 + 571 = 0. Let q(b) = -b**3 + b + 22. What is the lowest common multiple of u and q(0)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 64033?\nAnswer: -16\/64033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*c. Suppose c = b - l + 2*l - 9, -b = 5*l - 1. What is the lowest common multiple of 3 and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14c5b36 - -3?\nAnswer: -14c5b33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 17*n**2 + 11*n + 21. Suppose -o - 6*b + b + 16 = 0, -2*b + 28 = -5*o. What is the units digit of j(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -15)\/((-36)\/126)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2304.533 tonnes?\nAnswer: 2304533000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 654000 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, r: 3}. Give prob of picking 2 t.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/((-3)\/54). Let w = 33 + -33. Suppose -5*t + 17 = 3*u, w = -3*u + 4*t - 7 - 12. Which is the closest to u? (a) -5 (b) -2\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**4 - 65629*f**2 + 53903456*f wrt f.\nAnswer: -12*f**2 - 131258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -5e12acc?\nAnswer: -5e12ac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 428 = -5*h, 0 = -4*j + j + 4*h + 1251. Suppose j = 7*v + 105. What is the greatest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*s**3 + 39*s**2 - 2*s - 852.\nAnswer: -54*s + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3306943962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 3*p**2 + 10 to the form o*p**2 + d + t*p and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/3 + 3. Let g = 19\/6 - p. Let d = 712\/5 - 142. Sort g, 2, d.\nAnswer: d, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13c (base 13) in base 15?\nAnswer: ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*x**2 + 175*x**2 - 352*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2829585997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 79622051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 6*z + 2. Let i be t(4). Let k be (0 + 1)\/(2\/i). Suppose -6*q + q = -5*l - 260, -k*q + 2*l + 257 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29435+0.2\nAnswer: -29434.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2476578.5 to the nearest 10000.\nAnswer: 2480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 + 2.99. Let y be 146\/4 - 5\/(-5). Let j = 36 - y. What is the second biggest value in j, r, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 8*v - 1. Let y be r(9). Let f = 10 - y. Suppose -2*l - 3 = -3*l. Solve -f*h - 5*j = 13, 2*j = l*h - 6*h - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 4, -5, -14?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10133764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2471 - -4339. List the prime factors of p.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(1\/6)*x*x)*x**(-2\/5))\/(x**0*(x\/x**(1\/6))\/x*x))**(1\/33) assuming x is positive.\nAnswer: x**(-4\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1154*m - 477 - 1347 = -242*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from hxuxxrhrhrrurxruxxx.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 130\/172047 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/(-6))\/(6\/8). Let t = -6 - j. Let i = -0.2 + -4.8. Which is the third smallest value? (a) t (b) i (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3013337688 a multiple of 3548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -86054 times -0.4\nAnswer: 34421.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3523*c**2 - 2732*c + 915*c + 3524*c**2 + 906*c + 911*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -81. What is the remainder when 138 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (34 - 1)*(-2)\/(-6). Let o = -5 + l. Solve o*q = 2*q + y - 11, 0 = -q - 4*y - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1623064, 3246129, 4869194, 6492259?\nAnswer: 8115324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**3 - w**2 + 9*w**3 + w - w**2. Let d(s) = s**2 - 7*s + 7. Let z be d(6). Let j be h(z). Solve 3*l = 6*l + r + 8, -4 = -j*l - 5*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*d = 4, -5*d = 3*v - 2*v - 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 18*w**2 + 39*w - 17. Give h(13).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -18. Is 81\/2 - (-33)\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 48256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 288501874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2828878 is divided by 402.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 13 = -3*t, -6*x + 2*t = -x + 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2486185 decades to years.\nAnswer: 2.486185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-21)*20272\/24. Let k(u) = 70*u. Let f be k(4). Suppose -g - f = -4*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2729261, -2729258, -2729255?\n\"Answer: 3*s - 2729264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -8352\/11 (b) -7 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*h - 5. Let u(d) be the third derivative of -1\/9*d**3 + 0 + 0*d**h - 2*d**2 + 1\/90*d**5 + 0*d. Suppose u(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 3*a**2 + 3*a**3 + a**2 - 24 + 4*a**4 to v*a + i*a**4 + p*a**3 + u + b*a**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.29, 237, 2\/117, -1\/7.\nAnswer: -0.29, -1\/7, 2\/117, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 22229*i - 5357161. Give j(241).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1576, -668, -2912, -5156?\nAnswer: -7400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71891.\nAnswer: 29, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Suppose g = -o - 2. Let u(k) = 5*k + 3. Determine u(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 15 - 15)*(-6*p**5 - p**5 + 3*p**5).\nAnswer: 72*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1640365757\/187 - 8772064. Let x = u + 622\/11. Let i = x + -2. Is 1 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 9:25 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24219 divided by -81\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 73517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 1734672?\nAnswer: 8673360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14541 = 4*a + f, -5*a + 10*f - 7*f + 18172 = 0. What are the prime factors of a?\nAnswer: 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -128 and -193908.\nAnswer: 24820224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) -1\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1.6. Let i = 8 - 5. Suppose 4*t + 2*p - 3 = 7*p, -i*t - 2*p = -8. Put t, b, 0 in ascending order.\nAnswer: b, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -5, -55, 1, -1 in descending order.\nAnswer: 1, -1, -5, -55, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*q**2 - q**5 + 31*q**2 - 4*q**5 wrt q.\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q - 37. Let s be p(6). Suppose 212 + 183 = s*y. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 + 88*t - 34. What is z(-27)?\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18448764 is divided by 4157?\nAnswer: 4155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21 + -0.23. Let j = t + -1.98. Let y = j - -1.99935. Round y to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -706, -704, -702?\n\"Answer: 2*s - 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 3. Let a be m(3). Find the first derivative of 2*o**3 + 3 - 2*o**3 + a - o**4 wrt o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -64?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -w + 6*w + 7, -3*f + 4*w = -8. Let q(r) = -r**2 + 5*r - 2. Let o be q(5). Let x = 2 + o. Solve f*k + 4 = -x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/11)\/t**18)**(-46) assuming t is positive.\nAnswer: t**(9200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*r**4 + 5*r**2 - 2*r**4 - 2*r - 7*r**2 + 0*r**2 to the form d*r**3 + y*r**4 + s + b*r**2 + w*r and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 22, 0, 3 in increasing order.\nAnswer: 0, 1, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1279.261 days to hours.\nAnswer: 30702.264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247069 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85949101?\nAnswer: 7, 12278443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 2653*t**5\/4 - t**4\/3 + t**3\/3 - 31*t**2 + 4857*t - 1. What is the third derivative of g(k) wrt k?\nAnswer: 79590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2\/7 - 1267452*h\/7 - 133869547692\/7 = 0. Calculate h.\nAnswer: -211242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -74284*d**2 + 1. Let h(r) = r. Give h(t(x)).\nAnswer: -74284*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + 4. Let a be 4 + -3 + (-2 - -3). Let f be (220462\/(-143))\/(-11) + a\/(-13). What is the greatest common factor of k and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + 2 + -9 + -9 + 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/8*(-40)\/(-100). Is g at most -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2 (b) 6\/11 (c) 47 (d) -5 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = n + 3*l, l + 16 = -3*l. Is n a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -2 + 6 - (-6 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10*x**2 - 13. Let o(b) be the first derivative of -50 - 49 + 0*b**2 + b**2 + 19 - 45. What is o(r(p))?\nAnswer: -20*p**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u - 636 = -67*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 4*o**3 - 29.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**4\/23 - 166*o**3\/23 + 1630*o**2\/23 - 3242*o\/23 - 5040\/23 = 0?\nAnswer: -1, 5, 7, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -3, 8, -2 in descending order.\nAnswer: 37, 8, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from {n: 5, q: 1, c: 8, u: 1, x: 2, b: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91687 is divided by 8303.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*n - 22, -2*n - 2*b = -6 - 22. Suppose -4*s - 4*v = -172, -4*s = -2*v - 204 + 14. Calculate the remainder when s is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from seejjffjshjjsjebjjj.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by -5.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 2, 38903 in ascending order.\nAnswer: -5, 2, 5, 38903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 3:14 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/((-976)\/(-732))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17149949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -3*h + 172. Suppose -4*a + j = 5 - 14, -5*j - 9 = -2*a. Suppose -6*d + h = -a*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = -4*t + 128. Solve 4*a = -4*s - t, s - 2*a = 3*a + 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h**2 + 4*h - 21. Let i be (3 - (-15 + 20))*6\/(-4). Let f be l(i). What is the highest common factor of 45 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, -0.17, -154?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/21 + -10*1\/(-12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m - 216 = -24 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750 at most as big as 1739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2525430 is divided by 1262494.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 941117, 941118, 941119, 941120, 941121, 941122?\n\"Answer: k + 941116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*44\/6336 - (-1)\/((-312)\/(-105)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 3*q - 2*q)*(2*q**3 - 3*q**3 + 2*q**3) + (4*q + 0*q + 4*q)*(-3*q**3 - q + q) as s*q**2 + z*q + h*q**4 + v + j*q**3 and give h.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/647 <= 0.027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330*k + 165 = 335*k. Suppose 0 = 5*g + k*g - 189886. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 9. Let i = -47.5 + 47. Let t = 3\/52 - -239\/364. Which is the third smallest value? (a) i (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*20\/(-15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -3090.\nAnswer: 1\/1545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35.454429 and 0.3.\nAnswer: -10.6363287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 63*h**2 - 3*h - 18. Let z(p) = -62*p**2 + 3*p + 18. Let x(g) = 6*d(g) + 7*z(g). Find the second derivative of x(f) wrt f.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431084 (base 9) to base 8.\nAnswer: -765254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -6\/5, -0.04, -12?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 16*c**2 + 12*c + 19. Calculate the remainder when 22 is divided by j(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, q: 10}. Give prob of picking 1 q and 1 d.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21887*-346.\nAnswer: -7572902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29511.\nAnswer: 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ego when three letters picked without replacement from ggogeooeoooegeoo?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*f - 5*f + 56, 0 = f + 2*r - 4. Let d be (f\/(-10))\/((-2)\/5). Suppose -k - 4 = -d*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 + 61 = 15*p - 162. Calculate the lowest common multiple of p and 126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-4 + sqrt(567) + (1*sqrt(567) + -4 - sqrt(567)))**2 + -3)*5*2.\nAnswer: -8640*sqrt(7) + 37680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-456)\/(-2166) - 4\/38 - 1533\/(-57). Solve 2*y - 10 = -2*c, 2*y + 17 = -c + f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 806 - 260. Is q a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*w. Suppose w = -5*q - 769 + 2944. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 b when three letters picked without replacement from aeabbbabbaaeebrabbea?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*w + 663, -5*w + 560 = -w - 5*r. Let d(l) = -l**3 + 16*l**2 - 2*l - 17. Let v be d(14). Suppose w - v = -4*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 + 8*n - 19. Let d(p) = 2*p**2 + p + 1. Let l(q) = 3*d(q) - i(q). Does 2 divide l(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816 and 1118158.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -981 + 981. Let b(n) = 5*n**2 - 6. What is b(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -117.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.069266038 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 plus 172.9?\nAnswer: 440.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53588\/9? (a) 0.5 (b) 4\/5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15646885039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = 6. Calculate the greatest common factor of 21 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-4\/7)*(z**(1\/6)*z)\/z)**(-24) assuming z is positive.\nAnswer: z**(-292\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 132*c + 1868. Let r be v(-14). Solve 31*b - 36*b = -r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 7 - 13 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*s = 74, -19 = -3*y + s + 92. Suppose 4*v = 3*t + 129, v + 0*t + 4*t = y. What is the remainder when 96 is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/23*a**3 - 136\/23*a**2 + 278\/23*a - 140\/23 = 0. Calculate a.\nAnswer: -70, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -193.\nAnswer: -1\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25283, -203594, -687579, -1630076, -3183923?\nAnswer: -5501958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -1, -7.\nAnswer: -7, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6219240439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-92)\/(-69))\/(1\/3). Solve 18 + 2 = -d*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.02 - 0.22. Let y = w - 2. Let d = 0 - 0.5. What is the second smallest value in d, y, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14487400 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2 (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -835 + 413 - 1094*l**2 + 422 in the form k*l + j*l**2 + c and give j.\nAnswer: -1094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*d**2 + 24*d**2 + 14*d**2 + 35*d**2.\nAnswer: -31*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 305873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u + 5. Let s(v) = -3*v + 6. Give 5*s(o) - 6*w(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.852 + 2.552. Which is the nearest to -2\/7? (a) n (b) -2\/7 (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37, -45, -77, -145, -261?\n\"Answer: -2*s**3 + 6*s - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 0)*2\/(-3). Suppose -l = 2*k - 14, 0 = -4*l - 5*k + 20 + 30. Calculate the highest common divisor of l and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 2*x + 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, w: 4, c: 1, v: 2, i: 3}. What is prob of sequence vwcg?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/10)\/((-3)\/4158). Suppose -5*n + 2005 = 320. Let s = a - n. Round s to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, 756\/325, 0.4, 0.2, 63?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-5 - -10 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -539 - -319. Let p = s - -325. Suppose -4*j + j + p = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 - 242 - 341 = 263*i - 4*j - 222, -5*i = 4*j + 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 4:33 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4788, -20002, -45348, -80826, -126436?\n\"Answer: -5066*x**2 - 16*x + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 87 = -19. Suppose 326 = 4*h - 2*t - 14, 4*t - 340 = -4*h. What is the highest common factor of g and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 867*p**4 - 586 wrt p?\nAnswer: 3468*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 10*p + 24779994 = 2*s, 5*s = -4*p + 61950008. What is s rounded to the nearest one hundred thousand?\nAnswer: 12400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -680, -684, -690, -698, -708?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 2\/431, 3 in decreasing order.\nAnswer: 3, 2\/431, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -354 + 354. Suppose w = -4*x + 6140, m = 2*x - x - w - 1540. Round x to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 10. Let p = m + -1. Let c(b) = b + 2. Let u be c(0). Is u < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 172\/860*((-2)\/(-10) + (-116)\/5). What is the fourth biggest value in 2\/5, 0.01, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -119, -272, -485, -758?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7.2 * -12.3\nAnswer: -88.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*r + v - 21, -20 = -5*r - 3*v. Let z be (-5 + 4)\/(r\/(-4)). Let j be (-5 + 3 + z)*1. Solve 0*u = -2*u - j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.122898953.\nAnswer: -0.0245797906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 + 1.03. Is 1\/3 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/7 - 34\/7. Let l(n) = -3*n**2 - 17*n + 17. Let a(w) = -w**2 - 6*w + 6. Let u = 111 + -56. Suppose 10*h - 5*h = u. Calculate h*a(f) + q*l(f).\nAnswer: f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123192 and 6536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30 - -30)\/((-1)\/1 + -2). Suppose d - 2*d + 13 = q. Calculate the remainder when (9 + -8)*38*3 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 407, 600, 781, 944, 1083, 1192, 1265?\n\"Answer: -c**3 + 200*c + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/108*18*-11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(588) + (sqrt(588)*-1 + sqrt(588) + sqrt(588) - sqrt(588)) + sqrt(588)).\nAnswer: sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.8, -3, -5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1634\/19*82\/4. Calculate the greatest common factor of 301 and h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {q: 2, m: 1, a: 1, i: 2, x: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7027303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + ((-4 - -11) + 0 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 203.4, -0.2, 1, -3\/5?\nAnswer: 203.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 0 + 1\/8*s**4 - 1\/3*s**3 - s**2 + 17*s. Factor u(d).\nAnswer: (d - 2)*(3*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(102)\/(6*sqrt(18)\/sqrt(3)))**2.\nAnswer: 53\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, t: 1, s: 1, r: 1, m: 1}. Give prob of picking 1 m, 1 s, and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 39 + -5 + -43 + 40\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3)\/(n*(n*n**(-2\/9))\/n*n))\/((n**(-2\/15)*n)\/n**(2\/11)))\/(((n\/(n*n**(-7)\/n))\/n**8)\/((n\/n**(4\/5))\/n**(-9))) assuming n is positive.\nAnswer: n**(700\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 5:10 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58 + 57)\/(7 + -14) + 258\/7.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 254220?\nAnswer: 508440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-180) + -22*(-292)\/(-120) + (-6)\/18.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344 divided by -7.\nAnswer: -344\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - 61. Does 5 divide 35 + (2 + v)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*d - 38*d - 1 - 38*d + 109*d as j + i*d and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zba when three letters picked without replacement from {z: 7, a: 1, b: 2, f: 2}?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.876 + 6.876. Let n be (-22)\/(-30) + (-4)\/10. Let k be (-13)\/20 + (-4)\/(-10). What is the closest to k in n, d, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*k = -28, 0 = 5*h - h + 2*k - 76. What is the smallest common multiple of h and 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 3 (c) 4\/3 (d) -0.0728 (e) -280\/111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or -8?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-17)\/u*u*u*u*u*u*u**(-4\/15))**(1\/49))**(-45) assuming u is positive.\nAnswer: u**(597\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(2\/5)*a))**(2\/175)*(a*a*a\/(a*a**7))\/(a**1\/a) assuming a is positive.\nAnswer: a**(-4379\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 13*u**2 - 4*u + 2. Let o(b) = 3*b + 3. What is the remainder when g(2) is divided by o(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17900.0018263 - -17900. Round r to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 4*m**2 + 4*m**2)*(284 + 414 - 426)*(-4*m**3 - 5*m**3 + 4*m**3).\nAnswer: 2720*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/6 + 6\/9. Let v(f) = -f. Let o(s) = 5*s - 1. Let q(n) = -o(n) - 6*v(n). Does 3 divide q(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1211101 (base 3) to base 2\nAnswer: -10100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1572524 to two decimal places.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 2674*n - 2*n**2 - 138*n - 14 + n**3.\nAnswer: n**3 - 2*n**2 + 2536*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3030775, 3030773, 3030771, 3030769, 3030767?\nAnswer: 3030765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*u - 17068 + 1222 - 21414 = 0. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 + (9 - 20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 13*m**2 - 30*m + 5. Let y(t) = 28*t - 211. Let i be y(7). Let s be f(i). Solve s = 3*r - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6162*b**2 + 820*b**2 - 966*b**2)*(4*b + 7*b - 5*b + 0*b) as h*b**2 + l*b + n + a*b**3 and give a.\nAnswer: 36096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1040)\/(-156))\/((-5)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(44)\/sqrt(4)*-6)**2 - sqrt(88)\/(sqrt(8)*4)*-3) + -3.\nAnswer: 3*sqrt(11)\/4 + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88\/405 - -2\/405. Let m = -0.4 - -0.7. Which is the closest to -2\/7? (a) t (b) -1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1065 + -330. Let c = d + -735.0976. What is c rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*o - 255*o = 0. Let m(f) be the second derivative of o*f**2 - 1\/12*f**3 - 2*f + 0*f**5 + 0 - 1\/16*f**4 + 1\/120*f**6. Factor m(c).\nAnswer: c*(c - 2)*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 - 17*s - 1. Let h = 1646 - 1639. Calculate w(h).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-854)\/915*(-36)\/(-21))\/(44\/10).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - j - 5. Let b(p) = 10*p**2 - 3*p - 17. Let u(l) = 2*l**2 - 1. Let x(g) = b(g) - 6*u(g). What is 2*x(h) - 5*y(h)?\nAnswer: h**2 - h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(684) + -2 - sqrt(684)) + (sqrt(684) + (sqrt(684)*2 + sqrt(684))*-1 - sqrt(684)))**2.\nAnswer: 180*sqrt(19) + 6181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/((-220)\/(-16)))\/2. What is the biggest value in y, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 233408, 233407, 233406, 233405, 233404?\n\"Answer: -v + 233409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*q**2 + 4*q**3 + 14*q**2 + 3*q**3 - 3 + 6*q**2 in the form a*q**2 + w*q + d*q**3 + n and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + 0 + sqrt(304) - (-3*sqrt(2736) - sqrt(2736)).\nAnswer: 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 times 1?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2. Let i be (2\/(-4))\/(1\/(-2)). Let w = 3 - i. Let x(g) = -2*g + w*g - 3*g. What is a(x(d))?\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -26. Let i = 5 + o. What is the nearest to i in 0.1, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -47801 = -47804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 268, 2654, 9288, 22342, 43988, 76398, 121744?\n\"Answer: 362*l**3 - 48*l**2 - 4*l - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/(a\/(a\/(a**(-1\/3)\/a)*a*a))*a))**(2\/47))**(-42)*(((a**(-2\/7)\/a)\/a*a)\/a*a)**49\/(a**(-1))**(3\/7) assuming a is positive.\nAnswer: a**(-18626\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-175 - -217) + (0 - -2) + -15 + 11.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271257*j**2 + 542106*j**2 - 270851*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 - 2*v**3 + 3*v**3)*(4 - 3 - 2)*(1 + 1 + 0).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 43*j**2 - 160*j + 97. Calculate w(39).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217909843?\nAnswer: 23, 9474341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((-264)\/84)\/((-6)\/15)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 325749, 323865, 321981, 320097, 318213?\n\"Answer: -1884*k + 327633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.2, 5\/2, 11, 0.06, -1\/3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*v + 140 - 100 = 0, -55 = -3*o + 5*v for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 30*v**2 - 9*v**2 - 11*v**2 + 8*v**2. Let m(x) = 4*x**2. Give m(a(k)).\nAnswer: 1296*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 12*u**2 - 15*u - 1. What is the units digit of s(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 19 = 4*r. Solve 0 = r*v - 8*v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 - 0.205. Let y = 5.845 - h. Let g = -5.9 + y. What is the nearest to g in -6\/11, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 - -165. Suppose r = 11*j + 25. What is the remainder when 282 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + -3 + 1 - (0 - 1346). Is -4 + 70\/20 + n\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - -493. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6*p + 2 + 8*p + 4*p - 2*p - p + (-2*p + 3*p + p)*(2 + 1 - 5))*(2 - 2 + 6).\nAnswer: -6*p + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, j: 1, s: 1, n: 2}. Give prob of picking 2 n and 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**5 + 1819*j**4\/2 + 15101*j**3 + 139255*j**2\/2 + 86175*j = 0.\nAnswer: -9, -5, -2, 0, 1915\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36\/15)\/(6*2\/210). Suppose -12*d = -k + 6. Solve 0 = d*v - 4*y - 20, 5*v + y = 6*y + 30 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 1275162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 22. Let l = -9 - u. Let t = -0.14 + -3.86. What is the smallest value in l, 2\/11, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (1 - -4) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -115*l - 6. Let n be q(-16). Let v be ((-1)\/(-2))\/(9177\/n - 5). Suppose 138 = k + 2*z, 5*z = k - v + 28. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 11. Let m be f\/3*(-4)\/(-12). Sort m, 1, -1\/6.\nAnswer: -1\/6, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(5\/(-7) + 1). Let y(n) = -n**2 + 7*n - 2. Let g be y(p). What is the units digit of g\/((24\/(-21))\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 0.048, 0.2?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*u + 3*o = -59*u + 3, u = -3*u + u - 6*o + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29 - -2ca9?\nAnswer: 2c80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -4131770.\nAnswer: 1\/413177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 657.1282ng to milligrams.\nAnswer: 0.0006571282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -10*x**2 - x**2 - x**2 + 0*x**2. Let h(l) = 3*l**2. Give n(h(q)).\nAnswer: -108*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 5*v + 12, 4*v - 12 = -6*a + 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lcccjlcl. What is prob of sequence cjl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3982*a - 840172. What is y(211)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -43. Let g be 16\/(-56) + 278\/42. Which is smaller: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -4101731.\nAnswer: 4\/4101731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -35.9, 1\/11, 0.03?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -255965, 2, 4, -4, 10 in descending order.\nAnswer: 10, 4, 2, -4, -255965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssmnpznznz. Give prob of picking 1 z, 1 m, and 2 n.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = 15*b - 6 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/154 and -31\/16?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-30)*-2)\/((-9)\/(-10)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (39 + -47 + (0 - 6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -339 and -458571.6.\nAnswer: -458910.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 7, -5, 3, 4 in decreasing order.\nAnswer: 13, 7, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5903, 5663, 5419, 5171, 4919?\nAnswer: 4663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/3 in -0.1, 3, -0.3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 9. List the prime factors of a(6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 455 - 453. Solve -3*d + 0*p - 10 = -5*p, k = -2*d + p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72394?\nAnswer: 2, 7, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 - u**2 + u**2 + u**2 - 4*u**2 + 4*u**2 + (1 + 2*u - 1)*(2 - 2 - u) + u**2 - 2*u**2 - 6*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-7)\/r)\/r)**(9\/8)\/((r**(-10)\/r)\/((r*(r\/((r*r**(-14\/3))\/r))\/r)\/r)) assuming r is positive.\nAnswer: r**(133\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - (sqrt(52) - 2*sqrt(52))*1 - (sqrt(468) + 2 + -2*sqrt(468)))**2 + 5.\nAnswer: -40*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 1)*(-158*u + 616 - 1223 + 609) + (u - 5*u + 3*u)*(5 - 4 - 3) in the form t*u + g and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305, 360, 415, 470, 525, 580?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919839.\nAnswer: 3, 23, 13331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 2*l - 12, 8*z = -11*z + 15*z - l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-20)\/(-16)))\/(1\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**9\/75600 - g**8\/8400 - g**7\/2520 - g**6\/1800 - g**4\/24 - 17*g**2. Let w(k) be the second derivative of h(k). Factor w(p).\nAnswer: -p*(p + 1)**2*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyygnunmunyyyyyy. Give prob of sequence uyxm.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3183.\nAnswer: 3177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38152 and 74800008.\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1870\/51)\/11*(-54)\/15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205.4278*-4.\nAnswer: 821.7112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 - d**3 - 5*d**3 + (-4 - 2*d + 4)*(-7*d - d**2 + 7*d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 318 + -304. Calculate the remainder when 52 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*r - 5*r + 0*r + 14*r + 2*r**2 - 60 wrt r?\nAnswer: 4*r + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 24*m**2 + 99*m + 237. Let w(p) = 4*p**2 - p + 8. Let u(x) = v(x) - 5*w(x). Give u(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -8. Suppose -3*t - 3 = -6*t. Solve i*n + t + 14 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 + 38 = -x. Let w = 854 + x. Is w a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 6\/(-4))*-2. Let h be -2 + (x - -2) - -2. Is 48\/h + (-2)\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1115 (base 7) to base 13\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74*-2.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 58 - 56)*(9 - 33 - 6)*(-2*a + 3*a - 3*a).\nAnswer: -5400*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9*b**2 + 2*b - 3. Let o be d(2). Suppose -39*n + o*n + 2 = 0. Suppose 4*m - 14 = c, 2*m + n = -m - 5*c. Is m bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p = 4*a - 22*p - 8219, -3*a = -2*p - 6173. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8532509\/2630 - 9\/30. What is the highest common divisor of 28 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(280)*2 - sqrt(280))\/(sqrt(245)*-2))\/(-5*sqrt(24)\/sqrt(3)*-2*4).\nAnswer: sqrt(7)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v - 57. What is c(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 6*l. Let b be p(5). Sort 3, 1, b.\nAnswer: 1, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*t**4*z - 4*t**3*z + 4*t**2*z - t*z + t + 10090 wrt t.\nAnswer: 240*t**2*z - 24*t*z + 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*m - 8, -4*x + 5*x - 12 = 3*m. Let z(j) be the first derivative of -j**3\/3 + j**2 + 71*j - 515. What are the prime factors of z(x)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 10*z - 18 - 885*z**3 + 0*z + 443*z**3 + 443*z**3 - 5*z. Let x be c(-3). What is the greatest common divisor of x and 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 4*y - 6*y - 14*y + 36*y + 22*y + 1 - 1 - y + (-3 - 2 + 3)*(-2 + 2 + y) - 2 - y + 2.\nAnswer: 39*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4237.24 and -0.043?\nAnswer: 182.20132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0725 - -292.0725. Let k = j - 292. What is the nearest to -1\/2 in 0.02, k, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147705?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 30*y - 3 - 62*y - y**2 + 4 + 30*y + 10. What is t(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 8\/8*-11*-24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 217 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -15, 3*l - 4*l = -4*v + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 3*t - 938 + 932, 3*z - 11*t = -57 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4355 take away -59165331055?\nAnswer: 59165331054.5645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.143 - -0.343. Sort -1.3, -1, k, 2\/5.\nAnswer: -1.3, -1, k, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + (-8 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75946481 to the power of 1\/3, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*q**3 - 196\/9 + 14\/3*q + 8\/3*q**2.\nAnswer: 2*(q - 2)*(q + 7)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 1 - 2)*(-11*y - 20*y + 27*y) to the form j + k*y and give k.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002548686 to five dps.\nAnswer: -0.00255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2961181 divided by -7?\nAnswer: 2961181\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(405) + 4 - (sqrt(405) - ((sqrt(405) + 2 - sqrt(405)) + -3)))**2 + (-1 + sqrt(405) + 4)**2 + 0 + -5.\nAnswer: 54*sqrt(5) + 418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -1\/4, -2, -29 in decreasing order.\nAnswer: 4\/7, -1\/4, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/929475 and -13\/743580.\nAnswer: 3717900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -311*j**7\/210 - 13*j**5\/30 - 5*j**3\/6 + 416*j**2 - 2*j. Find the third derivative of r(d) wrt d.\nAnswer: -7464*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17\/2338 + 4591\/11690. Find b such that -b**2 + p - 9\/5*b = 0.\nAnswer: -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2726 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 260*k**3 + 60*k**3 - 34*k**2 - 195*k + 45 + 82*k**2 + 32*k**2 = 0. Calculate k.\nAnswer: -1, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 144 (b) -1 (c) 0.5 (d) -4 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/11 - 3288*i**2\/11 + 6570*i\/11 - 3284\/11.\nAnswer: 2*(i - 1642)*(i - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -8\/9 (c) -9 (d) 5 (e) 0 (f) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -204*j - 16. Let m(n) = 307*n + 22. Give -13*a(b) - 9*m(b).\nAnswer: -111*b + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2226 - 1?\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + -1 - (-24 - (-16 + -25 + 26)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 103515.34 to the nearest 10.\nAnswer: 103520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*w - 3, 0 = -w - 2*w - 3. What is the third derivative of 3*t**2 + 7*t**5 + 2*t**2 - 2*t**c + t**5 wrt t?\nAnswer: 480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6966 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8123*y. Let x(p) = -2*p**2. Determine g(x(n)).\nAnswer: -16246*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 5:52 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -17*k - 223. Let i(l) = -5*l - 74. What is -7*i(z) + 2*t(z)?\nAnswer: z + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*l = -16, 0*f - 3*f - 4*l + 16 = 0. Suppose 5*b + 5 + 5 = f, 2*d - 3*b = 16. What is the highest common divisor of 25 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 9:33 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10011001101101 (base 2) to base 16\nAnswer: -266d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j**2. Let a = 21 - 17. Let l(r) = -9*r**2 + 11*r**2 - a*r**2. Determine d(l(w)).\nAnswer: 24*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -450 - -108448\/241. Let p = s + -448\/4097. Which is the smallest value? (a) 0 (b) p (c) 0.5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 21*f + 109. Let z be o(12). What is the remainder when 23 is divided by 7 - (z + 3 + -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23082, -23083, -23084, -23085, -23086?\n\"Answer: -m - 23081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -10. What is the smallest common multiple of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3432 + -1117414?\nAnswer: -1123046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s = 18*s + 70 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -100, 9, -1\/114?\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/20)\/(180\/150).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0*q - 5*q)*(3 - 3 - 2) - 3 + 2*q + 3 + (0 + 1 + 0)*(-q + 2*q + 0*q).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from {s: 3, p: 2, m: 1, d: 3, u: 1, c: 9}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -95.5 in -4, 239, -0.33?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - c**2 + 2*c + 4. Let s be k(0). Suppose 0 = -4*n - 3*q + 55 - 4, -n + s*q = -27. What is the remainder when n is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*i + 46, 0 = -2*i - 3*m + 11 - 2. Suppose 4*x = -4, 2 = -4*o + 2*x - i. Let r be 12\/(-16) - o\/(-16). Sort r, 1, -4 in descending order.\nAnswer: 1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptktttptsa. What is prob of picking 1 a and 1 p?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 123631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102211 + -211101012111?\nAnswer: -211100202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75852 and 1452?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16, 322, 628, 934, 1240, 1546?\n\"Answer: 306*u - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11032949627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 898701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -62, 0.5, -0.2, 135?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/(-8))\/((-3)\/(-140)). Suppose -3*f + y = 15. What is the remainder when f is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 125*c - 85*c - 819 + 179. Let z(h) = h**3 - 15*h**2 - 19*h + 56. Determine z(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 - 124. Solve 0 = 2*p - 4*u + 18, -p + 3*u = t*p + 26 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 5*s = -7*k - 24, 3*k = -3*s + 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v - 32. Let d be z(-10). Which is the closest to -1\/2? (a) -5 (b) d (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f + 6 - 6*f + f + 12*f - 2*f. Let o(z) = 32*z**2. What is o(k(l))?\nAnswer: 288*l**2 - 1152*l + 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 + 32450*j - 194736 = 0.\nAnswer: -32456, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one quarters of a day?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 187 - 72. Let o = 111 - n. Which is the third biggest value? (a) o (b) -2\/15 (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in 0.1, -3, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 983*v**3 + 246.\nAnswer: 2949*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 30 - (-7 + (-1 - (-9 - 74)))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + x - 2*n, -n = -3*x. Let t(z) = z**3 + z**2 - 3*z + 24. Let a be t(x). What is the greatest common divisor of a and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*m + 1, -4*m + 0*x - 3 = -3*x. Suppose 21 = 3*g + 3*r, 5*g + r = -3*r + 33. Suppose 3*p - 22 = 2*w, -5*p + 30 + 15 = -g*w. Sort 1, -3, m, p.\nAnswer: -3, m, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -89768, -179963, -270580, -361619?\n\"Answer: -211*a**2 - 89562*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-57)\/(-8)*(1 + (-3)\/9) and 74\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 57*b**2 - 18*b + 9. Let c(z) = -71*z**2 + 19*z - 9. Let v(p) = -4*c(p) - 5*t(p). Give v(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -12*t**3 - 21. Let i(d) = 3*d**3 + 5. Let y(b) = -5*b**2 - 3*b - 3. Let f = 61 - 62. Let z be y(f). Give z*m(r) - 21*i(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -28388?\nAnswer: -1\/14194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 88565*i**2 - 185456*i**2 + 88265*i**2 in the form y*i**2 + t*i + u and give y.\nAnswer: -8626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 8:32 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 165.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 142 = -106. Suppose -5*u = -u - n. Suppose -4*c = -u - 9. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66110 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 123349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -d2c (base 15) in base 10?\nAnswer: -2967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8155 + 19a07?\nAnswer: 11862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -189 by -9.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 4:19 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 + 91. Let d be (1\/12)\/((-42)\/(-112)). What is the nearest to 0 in 0.2, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -800\/3 + 266. Which is the third smallest value? (a) -0.4 (b) -20 (c) 2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260652?\nAnswer: 2, 3, 7, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**16*q*(q*q\/q**(5\/4))\/q*q*q)\/(q*q\/q**(-24)*(q*q**(1\/13))\/q*q*q) assuming q is positive.\nAnswer: q**(-485\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10868982?\nAnswer: 2, 3, 199, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y - 5*d + 185 = 0, 104390*y - 104389*y + 119 = 4*d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2628*u + 84 = 3*n + 2630*u, 23*n - 644 = 3*u for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 45.32912 microseconds?\nAnswer: 0.04532912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2\/6 + 4564532*n\/3 = 0.\nAnswer: -9129064, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 9 = 61. Let j(p) = -p**2 + 5*p - 2. Let w be j(4). Suppose 4*f + m*b = 1278, -b = -w*f + 358 + 274. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 3:24 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 24 = -21. Let o = 15 + w. Solve -2*r = -o*r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1))**(-4)*(h**(-2))**(3\/5) assuming h is positive.\nAnswer: h**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2769\/121 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/3)*t)\/t)\/t*t\/t**(2\/5))\/(t**(-6\/5)*t**(3\/2))*((t\/t**(1\/5))**(-47))**(6\/23) assuming t is positive.\nAnswer: t**(-7021\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 4. Let q be c(-6). Suppose 0 = -y - 4*y + q. Solve -s - 7 = g - 3, -y*s - 1 = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -327.4 (b) 0.6 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 64. Suppose -71*b = 22*b - 448 - 482. Calculate the lowest common multiple of s and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/4 + 0)*10\/2. Let s be (-1)\/(-2)*3\/(h\/170). Suppose 9 = -y + 7. Put s, y, -5 in descending order.\nAnswer: s, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23736 by -7912.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194 + -195. Which is the nearest to g? (a) -1\/4 (b) 0 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 456, 448, 440, 432, 424?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76341537*p**2 + 52270330*p.\nAnswer: -152683074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6138376, 6138380, 6138384?\nAnswer: 6138388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**4\/12 - 4*p**2 - 10*p. Determine m(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -966718442\/9 - -107521382. Let x = 108109 - f. Let w = -113 - x. Which is the biggest value? (a) -2 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144 + -4443344?\nAnswer: -4444043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 5*s**4\/3 - 5*s**3\/2 - 5*s**2\/2 + 7*s. Factor t(k).\nAnswer: 5*(k - 1)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + 9*h + 5*h + 2 + 15 - 18*h - 2*h**3 to the form x + m*h**3 + l*h**2 + o*h and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l + 24*l + 17 = -3*g, g + 9 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94 + -44. Suppose -4*g - g = -i. Suppose 0 = -3*z + 5*q + 111, -2*z - 2*q + 84 = g. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 13*q**2 - 11*q + 7. Give j(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 5*u**2 + 4*u + 3. Let r be d(4). Let b(k) = 4*k**3 + k**r - 4*k**3 + k. Let n(l) = 2*l**3 + 4*l. What is -4*b(c) + n(c)?\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*w**3 + 31*w**3 - 80*w**3 + w**4 + 3*w - 7*w**2 + 0 + 2 + 25*w**3 as a*w + c + i*w**3 + g*w**2 + q*w**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.2381 + -0.0619. Let w = x - -30. What is the third smallest value in 3, w, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 5\/3*r**3 + 4*r**2 + 3\/8*r**4 + 0*r - 5. Let b(p) be the second derivative of v(p). Differentiate b(w) wrt w.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6334954.\nAnswer: 2, 887, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 290 = -12*m. Let d(t) = -2*t**3 - t**2 - 3*t - 2. Let p be d(-2). What is the highest common divisor of m and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 8*j**2 - 10*j + 7. Give b(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/5*-10 - -305?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2046474085 to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4001, 4002, 4003, 4004?\nAnswer: 4005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v + 9. Suppose -4*x + 3*n + 18 = -2, -4*x + 12 = -n. Suppose q + 6 = x*q. Give d(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 7*t**2 - 10*t - 1. Let z be 2\/7 - (-132)\/28. Let c be x(z). Let m be (0 - (-1 + c)) + -2. Solve 0*f + 5*f = m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h**2 + 134*h - 136. Calculate r(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/42*-63)\/(3\/(-10))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*z**2 + 4*z**2 - 5*z**2 + (4 + 2*z - 4)*((2*z - 2 + 2)*(1 + 0 + 1) - 6*z + 2*z + 5*z).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3367877, -6735759, -10103647, -13471541, -16839441, -20207347, -23575259?\nAnswer: -26943177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 317 = 2*s + 2*y, -2*s = -2*y - 626. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -795 divided by 5.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*sqrt(153)*2.\nAnswer: 150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 - 22?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/837389 and 20\/63.\nAnswer: 7536501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -304235, -304233, -304231, -304229, -304227, -304225?\n\"Answer: 2*u - 304237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (63\/(-2))\/3*(-512)\/6. Let y(w) = -u + 4*w + 896. Let z(s) be the first derivative of s**2\/2 + 7. Calculate y(z(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**2 + 9*x**2 - 15*x**2 - 2.\nAnswer: -19*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37 - 2*p**3 - 49 + 15*p**4 + 19*p**4 wrt p?\nAnswer: 136*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**3\/6 + 6*l**2 + 26*l. Let m(x) = 5 + 12 - 17 - 3*x + 2*x. Determine h(m(d)).\nAnswer: -d + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from momommm.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1696\/3 - -568. Factor -16\/3 + c*d + 7\/3*d**2 + 1\/3*d**3.\nAnswer: (d - 1)*(d + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31423039 to the nearest integer?\nAnswer: 5606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d - 4*i + 12, -5*i = -d + 6. Let z = 7 - 2. Suppose -5*v = -z*p + 65, -8*v = 5*p - 3*v - 105. What is the remainder when p is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**5 + 2354*x**4 + 5*x**3 - 830*x**2 - 1204*x wrt x.\nAnswer: -60*x**2 + 56496*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**5 - 1182*q**4 - 3 - 15*q**3 - 1 + 85*q - 562*q - 16*q**4 + 12*q**3 + 2*q**2 wrt q.\nAnswer: 60*q**2 - 28752*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.2, 1\/2, -0.623?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-5 - -9) + -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czc when three letters picked without replacement from {f: 6, z: 4, c: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6344 - 6304. Solve -4*a = 5*j - d, a = 9*j - 7*j - 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.4032 * -68.\nAnswer: -639.4176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - h + 4*h = -6, 3*m = 4*h - 17. Let r be (-3 - m) + (2 - 3). Put 0, -3, r in increasing order.\nAnswer: -3, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j**2 - 4*j**2 - 10*j**2 in the form l*j + b*j**2 + c and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4900)\/(-378) - -4) + -17?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28800 and 235800.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9434*g. Let r(k) = 2*k + 112. What is r(a(y))?\nAnswer: 18868*y + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18\/23, 1, -2 in ascending order.\nAnswer: -2, -18\/23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 240*d**2 + 0 + 0*d**3 + 4\/3*d**4 + 0*d + 16\/105*d**7 + 0*d**5 - 1\/56*d**8 - 2\/5*d**6. Let x(v) = 0. What is v?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.38 + -0.22. Let r = 0.25 - j. Let t be (-3)\/2*4\/6. Are r and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 5. Let b(a) = 1. What is -6*b(c) + u(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(152)\/(2*sqrt(8)) - sqrt(76)\/(sqrt(8)\/sqrt(2))) + -3.\nAnswer: -3 - sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuuhnlo. What is prob of picking 2 o and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 240*k**2 + 5476*k - 98. Determine s(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 2 (c) 7 (d) 40\/83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*u + 28425 + 38132. List the prime factors of u.\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2)*60\/(-6). Let s be (-10)\/4*(-12)\/v. Let q(b) = -b + 8. Let a be q(8). Solve a = 5*m - s*n - 22, -2*m + 2*n = n - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1555*g + 22500 = -2195*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 75 + 42 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3640 - -1157. What is the greatest common divisor of u and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3))**(4\/19)*(r**(-2\/3))**(-3\/4))**(-19) assuming r is positive.\nAnswer: r**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (52 + 16 - 26)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**2 - 2*k - 2. Let b be z(2). Let f(n) = -b*n**2 - 7 - 4 + 14 + 0 + 21*n + n**3. Let q be f(21). Solve -q*u = u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/963490 and -31\/416283.\nAnswer: 870031470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -276387.6 rounded to the nearest 1000?\nAnswer: -276000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(18\/(-3)) + (6 - 1). Differentiate 7*n**3 + 2499*n**q - 2499*n**2 + 11 wrt n.\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/8 + -1)\/(1\/(-22)). Let o = -15 - -15. Suppose o = -2*x + 17 - s. Solve -6*y + 4 = -f - 3*y, -4*y = x*f - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 31 + (-5 - (-2)\/2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2576711, 2576713, 2576715?\nAnswer: 2576717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120 - 127 - (-11 + -7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 52 + 23 - 5*t**2 - 92 - 3 + 8.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 89*y + 135. What is u(43)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**3 - 18*u**2 - 509*u + 593. Calculate p(21).\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-1))\/5*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*n - 12 + 7 + 5 as t + u*n and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -586390\/2637 or -222?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 9*s + 2. Let n be a(-9). Suppose 0 = -v + n*l - 7*l + 118, -5*v + 470 = -5*l. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1593\/27 + 57 + -80.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.63621069 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001001110 - 101000000010010?\nAnswer: -100101111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13\/6 + -5\/3. Let q be (-13)\/(260\/(-12)) + 41\/(-85). Which is the closest to f? (a) q (b) 2\/9 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152134787965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.657374 and -5?\nAnswer: 8.28687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29663, 29668, 29675, 29684?\nAnswer: 29695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.45*12.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 237020 divided by 33860\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c + c - 27*c**3 + 823 - 823 - 8*c**2 wrt c?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 7) to base 3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d + 392 = 0. Let o = 158 - 59. Let m = d + o. Which is the closest to m? (a) 2 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o. Let x(q) = -35*q. Calculate -21*f(h) + 4*x(h).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -1289. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*i**3 - 26*i**2 + 4*i + 6 = 0. Calculate i.\nAnswer: -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 9:17 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 216 = -3169*b + 3171*b, 4*b = h - 36 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - 75.756. What is a rounded to two dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2495, -20524, -69555, -165092, -322639, -557700, -885779?\nAnswer: -1322380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (-5 + (sqrt(2) - -1*sqrt(2))**2))*4.\nAnswer: -12 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eueeeu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93319786.\nAnswer: 2, 7, 23, 353, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009982572 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 48 = x. Let q(m) = -6*m**2 + 4 + 18*m + 15 - 41*m**3 + 40*m**3. Let n be q(x). Solve 0*l = 3*l - n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - d = -21, 14*d = -10*y + 6*y + 96 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from xhg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -2\/11, 4, 6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 1 - ((6 - 3) + -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6) - (-450)\/54. Suppose -5*u = -5, -6*u + x = h - u. Suppose 4*y - 903 = -3*k, -h*k - 119 = -y + 83. What are the prime factors of y?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 60 = 3*t - t, -2*f + 4*t + 30 = 0. Solve 3 = -3*w + f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 1. Let q be (-2 + 4\/3)*(-13 + 4). Let y(k) = -q*k - 4 - 5*k + 0 - 2. What is 6*f(u) + y(u)?\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4131468.21 * -1\nAnswer: 4131468.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2292495?\nAnswer: 3, 5, 152833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -2*u - 1, 6 = 2*c. Let o(w) = 6 - 3*w - w + 11*w**3 + 4*w**2 + u*w - 5*w. Let x(m) = -5*m**3 - 2*m**2 + 4*m - 3. What is -4*o(g) - 9*x(g)?\nAnswer: g**3 + 2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*w + 29 = 0, 89*w - 88*w + 21 = 3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:18 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 329451 and 277341?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 4*s**2 - 7*s - 6. Let p be c(-4). Let x = 16 - p. Let k be (-20)\/x*(-6)\/(-5). Solve 0 = k*a - 4 - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n + 6 - n**2 - 2*n**2 + 2*n**2 - n. What is the remainder when s(-5) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -4, -0.3, 0.08, -1\/4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 343016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/79101 and -12\/1105.\nAnswer: 5141565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213 and 1180091.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from {y: 1, m: 4, u: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quuuuuuuuuuqu. Give prob of picking 1 q and 1 u.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, 29, -292, 0.8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 657432939*r**4 - 4*r**2 + 411*r + 23247 wrt r.\nAnswer: 15778390536*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 7 + -4 + -4 + -1 + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 384572570.\nAnswer: -38457257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -20*n**2. Let u(s) = 10*s - 5*s + 0*s - 4*s. Determine u(y(w)).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192*u + 2030 - 2030)*(-3*u + 2*u - u).\nAnswer: -384*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z + 4*z - 4*z)*(-3*z - z + 2*z) + 5*z**2 - z**2 - 3*z**2)*(8*z + 701*z**3 + 718*z**3 - 1422*z**3).\nAnswer: 3*z**5 - 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2.000525. Round q to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*m**6 - m**4 - 11*m**3 + 2*m**2 + 866*m + 2?\nAnswer: -1080*m**3 - 24*m - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 12, 3*b = 3*y - 3. Suppose -2*c + 5 = b. Solve 3*r = g + 3*g - c, 0 = -r - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1245 and 0.2155396.\nAnswer: -1244.7844604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7326*f - 14638. What is s(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*c**2 + 13*c**2 - 16 - 21 in the form a*c + b*c**2 + u and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/((sqrt(220)\/sqrt(4))\/sqrt(11)))\/(1*sqrt(8)*3 - sqrt(896)\/sqrt(7)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 5. Let m be 0\/(-2) + -1 + h. What is the second derivative of 6*p**4 + 2*p - 4*p**m + 0*p wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 9*g. Let f(q) = q. Let n be -3 + 2 + (-3 - -2). Suppose 2*o - 20 - 196 = 0. Suppose 5*z = -z + o. Determine n*s(v) + z*f(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22a + 377?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1223070, 2446290, 3669510, 4892730?\nAnswer: 6115950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 7*d - 2 + 1 to i + x*d and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.7 - -1.3. Put -2\/7, k, -4\/5 in descending order.\nAnswer: k, -2\/7, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 379 = -2*c - 211, 3*b = 4*c + 889. Let t = 315 - b. Suppose 16 = 3*s + i, 2*i = 2*s - i - 18. Calculate the greatest common divisor of s and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8.8 (b) 8 (c) 1\/1159 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 2*f. Suppose 3*x - 2*g + 5 = 0, -2*g = f*x + 3 - 2. Let k be x\/((-1)\/(-3)*-1). Solve 5*t - 4*p = 17, -k*p - 6 = -3*t - 2*p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/2 + 2*p - 6 = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = 13*y + 66. What is the highest common divisor of 22 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 11:14 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -757429 + -16319249.\nAnswer: -17076678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 69.6 (b) -64 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 837 = 33*n - 6*n. Suppose -15*v + 44 = -n. Which is the closest to 1? (a) -2.8 (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 4:51 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Let u = 2343 + -2340. Let k(b) = -741*b**n + 1 + 739*b**2 + u*b - 5*b + 3*b. Calculate k(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*o - 20*o - 61*o - 24300 = 0 for o.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -36. Let p = x - 23. What is the remainder when 54 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 19\/991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10 = -12. Let t be (-11 - -10) + (w - 1). Let i be 3 - 0 - (-51)\/(-19). Which is smaller: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 5, -2, -4, 0, 4, -308 in descending order.\nAnswer: 21, 5, 4, 0, -2, -4, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 54.77282ml?\nAnswer: 0.05477282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163194390 a multiple of 534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-10))\/(-3*3\/(-36)). Let g be (-6)\/2*-2 - h\/(-1). Is 59 - ((-2)\/11 - g\/(-22)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 111801\/(-128115) - (-13)\/39. Let t = -5\/11388 - l. Calculate the common denominator of -77\/24 and t.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*z = -54, 3*z - 114 = -4*c + 32 + 24 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-seven fifths of a litre?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23757622.\nAnswer: 2, 7, 1696973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 275.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37265344 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**2 + 5*z - 10. Suppose -y + 1 = -2. Does 9 divide a(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9951aaa (base 11) to base 5.\nAnswer: -13433004444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 341 - 235. Let d = 186 - x. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -836929 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.35806g to tonnes.\nAnswer: 0.00005535806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-9)\/6))\/(110\/(-935))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2425764 + 19442501\/8. Let i = m - 4541. What is the common denominator of i and (-113)\/16 - (1 + -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35\/62 - 2\/31. Let i = 0.4 + -0.2. Let a = -0.3 + i. Which is greater: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 36*c - 182. Solve 0 = -3*r - 2*y + 15, -5*y + 29 = c*r + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 16, -4\/541, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkqk when four letters picked without replacement from qkqkqqqkqk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1120)\/(-3420) + ((-116)\/36 - -3)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/114*6*1*-2\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15394 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -1 - -1) + (-176)\/144. What is the nearest to a in -0.3, -3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 3*v - v)*(-v - 5*v - 3*v) as a + b*v + m*v**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70421 + 19717773\/280. Calculate the common denominator of -47\/196 and o.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 129256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**3 - 12*n**3 + 3*n**2 - 36928*n + 36928*n.\nAnswer: -4*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -17*w + 108. Determine y(9).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**(5\/2)*z*z))\/(z*z**(-1\/2))*(z\/z**10)\/z**(-7))**(-41))**(-8\/5) assuming z is positive.\nAnswer: z**(-2296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-12) + 38\/8. Solve -2*k = 3*r + 5, -t = -0*k + k + 4*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 6*l**2 - l - 6. Let m be d(-6). Suppose j - 4*z + 18 = m, 4*j - 5*z = j - 19. Suppose 115 = y + 4*u, 275 = 2*y + y - j*u. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 30 = -110. Let o = -14 - v. What is the lowest common multiple of 2 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**4\/72 - 4*c**3\/9 + 16*c**2\/3 - 25*c. Factor y(h).\nAnswer: (h - 8)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -50623.92 and 0.0033.\nAnswer: -50623.9167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -549 - -549.01. Put -1, -2\/5, l, 4 in increasing order.\nAnswer: -1, -2\/5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 52.312 and 8.\nAnswer: 60.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-22) - 483\/(-66))*4. Is 4 a factor of (-32)\/(-10)*a\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -23*(1 - 93)\/4. Let d = f + -170. What are the prime factors of d?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16\/37 + -291\/74. Let p = -0.5 + 5.5. What is the third smallest value in -3\/2, u, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g - 59. Let x = -10855 + 10850. Let d(o) = 4*o + 60. What is x*y(s) - 4*d(s)?\nAnswer: -s + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54\/35 + 23\/280. Let u = 9\/8 - t. Let k be (-1)\/(-2)*-2 + (-93)\/(-186). Which is the nearest to u? (a) 0.5 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + (-3)\/3 + 3. Let g be (-1)\/w - (-56)\/21. Suppose 5*i - g = 27. Calculate the least common multiple of 7 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 65\/(-1))\/(0 - 2). Find the common denominator of 26\/17 and 31*10\/d*3\/(-6).\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 10, -2.7, -0.4 in ascending order.\nAnswer: -2.7, -0.4, 2, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 736 - 5?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106023892 to the power of 1\/2, to the nearest integer?\nAnswer: 33257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + m + 68 = 0, 4 = -4*m - 16. Let t be 14\/b + 128\/72. Let o(h) = 5*h**2 - 2*h. Let c(r) = 5*r**2 - 2*r - 1. Determine t*c(f) - 3*o(f).\nAnswer: -5*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 greater than or equal to 0.11681873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1749?\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.5436469 seconds to days.\nAnswer: 0.00020305146875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.19932 - -0.2. Round l to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/242358 and 123\/620.\nAnswer: 2423580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-725)\/35 - (-4 - 1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5656253 is divided by 434?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 13 = -53*n + 52*n - 5 - 5, -m - 1359 = -227*n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(((-27)\/(-12))\/(0 - 3)). Suppose 2*p - 3*i = 1, -32 = -4*p - 0*i - c*i. Solve p*u - 5 = -0*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201440353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.49 - 3.49. Sort 0.4, q, -0.59.\nAnswer: q, -0.59, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*f + 210*f - 16296 = 0. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 14 + 34 - 14*v + 31. Let f be b(6). Let d(u) = 5*u - u**3 + 7 - 5*u**2 + 0*u**2 + 0*u**3. Calculate d(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11524989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1584*o**4 - 170*o**3 - 290274*o**2?\nAnswer: -38016*o - 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 17 - 186*u - 18 + 187*u. Let c(k) be the third derivative of -k**5\/30 + 3*k**4\/8 - 5*k**3\/6 - 2*k**2 - 13. Determine -c(q) + 5*j(q).\nAnswer: 2*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 4*t + 3. Calculate the remainder when j(-7) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/2)*n*n*n*n\/((n*n\/(n\/n**(-10)))\/n))**14\/(((n\/n**7)\/n)\/n**(2\/23)*n**(-8)\/(n**(-3)\/n)) assuming n is positive.\nAnswer: n**(4924\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from {j: 1, p: 7, b: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - f**2 + f. Let v be w(2). Let i = 6 - v. Suppose i = -2*b + 5*b - 24. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 3 - 7)*(-b**2 - 4*b**2 + 4*b**2) - 2*b**2 + 3*b**2 - 2*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + y + 2. Let z be d(2). Let s = 461.8 + -462.96. Which is smaller: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 - j**2 + 2*j**2 + (-4*j + 6*j + j)*(0 - 4 + 3)*(-1 + 6 + 127*j - 126*j) to p + n*j + v*j**2 and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.76060307 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c + 45. Let j be w(-23). Which is bigger: j or -2\/281?\nAnswer: -2\/281","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + (1*1*sqrt(180) - (-2 + sqrt(180) + -5) - (1 + (sqrt(180) - (0 + -4 + sqrt(180) + sqrt(180))) + sqrt(180))**2)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 2*c - 4. Let u be w(4). Suppose u*v - 3*v = 1. Suppose -h + 4 + v = 0. What is the highest common divisor of 25 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 + 40*r**2 - 100*r - 17. Calculate o(17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-56))\/(6\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*f - 187*f + 160*f + 1072 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from ttthttttihtiththihhi.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 47. Let f be t(-22). What is the greatest common factor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2563*h + 1228*h - 10318 = -1181*h for h.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/17 + 118*i\/17 - 116\/17.\nAnswer: -2*(i - 58)*(i - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 2*w = 2*j + 14, 5142*j - 5090*j + w + 134 = -5*w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 + 63. Let y be ((-128)\/(-48))\/(h\/6). Suppose 2*n + y = 538. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7619333 is divided by 99?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, o: 7, n: 4}. Give prob of sequence on.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 1. Suppose 6 = 41*s - 40*s. Let z(v) = -3*v**3 + 26*v**2 - v + 6. Let t(c) = s*a(c) - z(c). Find the third derivative of t(j) wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 65\/(-2))*2. What is the common denominator of 9\/12*(-194)\/33 and c\/(-6) - (0 - 0)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3069822 and -0.3.\nAnswer: 920946.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590529700?\nAnswer: 2, 5, 5905297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, i: 8}. What is prob of sequence isi?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5074 - -5076. Solve -p - 12 = -3*f - 0*p, -15 = -3*f + o*p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 114*q**2 + 6*q - 7. Let k(t) = -112*t**2 - 5*t + 5. Determine 4*k(o) + 3*y(o).\nAnswer: -106*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49415 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**6\/24 + k**5\/2 + 15*k**4\/8 + 10*k**3\/3 + 25*k**2\/8 - 272*k. Factor s(l).\nAnswer: 5*(l + 1)**3*(l + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-10*103*614\/(-3952625).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8478879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18576 and 3265248.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -18. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 14) in base 9?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174 - 21346*g + 21331*g - 163.\nAnswer: -15*g + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01572 to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -7. Let j = -36 + 38. What is the smallest common multiple of o and (96\/(-36))\/(j\/(-3))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18526414, -37052836, -55579258?\n\"Answer: -18526422*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 150.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(187)*2 + -5*sqrt(187)*-1))\/(sqrt(308)\/(-6*sqrt(112))).\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -19*u**2 + 2013*u - 21428. Calculate a(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 62?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93527, -187058, -280589?\nAnswer: -374120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 6*g + 8. Let k = 49 + -37. Let d be (42\/16)\/(k\/(-16))*4. What are the prime factors of m(d)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - a**3 - 28 + 6*a**2 + 15 + 17. Let f be j(6). Let z be -4000001 - 2*f\/4. What is z rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 685.583 - 685.7. Sort -3, -8, z.\nAnswer: -8, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-399*j**5 - 1230*j**5 - 172 + 172)*(1 + 3 - 5)*(2 - 5 + 2).\nAnswer: -1629*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + k = 2326, 4*h + 3*k - 2362 = 8*k. Calculate the remainder when 4094 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12d1 (base 16) to base 3.\nAnswer: 20121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -64854540 divided by -18?\nAnswer: 3603030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/96, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1027139*j**2 + 2190676?\nAnswer: -2054278*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -413 and 0.4.\nAnswer: -412.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 8. Suppose 0 = k - 0*k + s. Let c = -6 - k. Solve c = 3*j - 13 - 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/11 or 5783?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/3 - 16*j**2\/3 - 3344*j\/3 + 2240.\nAnswer: 4*(j - 30)*(j - 2)*(j + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/4)*f**(-3\/8))**(-14\/9) assuming f is positive.\nAnswer: f**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 44808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 10 = -z. Let u be (5\/2)\/(z\/(-4)). Let l(o) = -7*o + o + u*o + o. Let p(n) = n. Determine p(l(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (22\/132)\/(10\/48). What is the nearest to 20 in y, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (172\/129)\/(283161\/94383 - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 41 and -782034?\nAnswer: 782075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -697808812.\nAnswer: -697808808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 932508.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/254 and 39\/64.\nAnswer: 8128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1 - 2 - -2. Solve 3*k**2 + 0*k**i + 1 + 5*k + 0 - 2*k + k**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-21))\/((-156)\/(-546)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 5*s + 8. Let v = 24 - 30. What is the lowest common multiple of 4 and d(v)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-1 + 15\/(-9)). Suppose -2*x = 4*h + 14, -4*x + 0*h = 3*h + f. Solve -3*g**3 + g**2 - 2*g**2 + 2*g**3 + x + g = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*c = -24, 3*c - 4 = 2*t + 2*t. Let h(v) = 0*v**2 + 13*v**2 - 9*v**t. Let q(d) = -2*d**2. What is h(q(z))?\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g + 5. Suppose 0 = -w - 1 - 3. Determine a(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -307? (a) -0.1 (b) -3\/5 (c) 2\/3 (d) -0.3 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 10*t**2 - 2 + 4*t - 7*t + 3 - 11*t**2. Calculate u(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -34*l**3\/3 - 11756*l**2\/3 = 0.\nAnswer: -5878\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -4\/19, 0, -0.02?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 1 + 15. Is 26 a factor of (-6)\/x*(-624)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/27375 and -12\/365.\nAnswer: 27375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13318 is divided by 13262.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvbvkxvvkvx. What is prob of sequence xkvx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -513072066.3 and 0.145.\nAnswer: -513072066.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + g + 31. Let c = 11 - 9. Suppose 0 = -c*v - 3*v. What is the units digit of l(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1066*c + 18105 + 9635 = -71*c - 2110 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 1\/4*q**4 + 0 + 0*q**5 + 0*q**3 + 0*q**6 + 1\/70*q**7 + 2*q**2 + 0*q. What is the second derivative of k(r) wrt r?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 12*r - 3*r + (-4 + 4 + 2)*(-2*r + 4*r - r) + 0*r + 3*r - 2*r in the form h + x*r and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 12. Let t be r(-7). Let m = 14 + -12. Solve -t*p - 30 = -10*p - 3*u, m*p = -3*u + 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15024 divided by -6.\nAnswer: 2504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1601*v = -1587*v + 4046. Which is smaller: v or -296?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6))**38 assuming h is positive.\nAnswer: h**(-228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 255504, 255464, 255424, 255384, 255344, 255304?\n\"Answer: -40*q + 255544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 0 + 6 = 0. Let m be -4 + 1*36\/(-2). Let s be m\/30 + 2\/6. Which is the third smallest value? (a) s (b) -4\/9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3451, 3496, 3543, 3568, 3547, 3456?\nAnswer: 3271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010548303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2 + 72*t + 113447. Is r(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 108, 164, 218, 270?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 3*t**2 - 8*t + 4. Suppose 4*d = b - 6*b + 9, -5*b = d - 21. Let c be f(b). Suppose c = 5*x - 1. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28c (base 16) to base 8.\nAnswer: -1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2\/13 + 160*r\/13 - 16008\/13 = 0. Calculate r.\nAnswer: -138, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 22 + 109*s**2 + 105*s**2 - 213*s**2 - 10.\nAnswer: s**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 3. Let u(s) = 2*s**2 - 2*s. Let h be u(2). Let k(o) = 2*o + 4. Let w(q) = h*p(q) + 3*k(q). Let f(v) = 0*v + 3*v - v. Calculate f(w(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3*sqrt(242))**2 - sqrt(16)\/(sqrt(40)\/sqrt(5)) - (0 + (sqrt(300)*-2 - sqrt(300))\/sqrt(6))) + -1.\nAnswer: 14*sqrt(2) + 2172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Let h be (-6)\/(-9)*15\/x. Let t = h - -2. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*w + 30. Let h be (-288)\/w*(3 - 8). Calculate the highest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*b**3 - 6*b**2 - 36*b + 24.\nAnswer: 3*(b - 2)*(b + 2)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.3266 and -33461.\nAnswer: -33459.6734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - -3240531?\nAnswer: 3240543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3581\/2 (b) 7 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*n = 22*n. Suppose n = -33*i + 32*i + 1610. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 191, 277, 363, 449, 535?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7365, -7683, -8001, -8319, -8637, -8955?\n\"Answer: -318*t - 7047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13690 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126484 is divided by 885?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33118.4 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 1. Let r = -5 + 4. Let m(h) be the second derivative of -3*h**3\/2 + 5*h**2\/2 - 8354*h. Give r*m(n) + 6*s(n).\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -347833 divided by 5?\nAnswer: -347833\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.1 + -8.1. Let b = 0.09 - -1.91. Put d, b, 3\/7 in ascending order.\nAnswer: d, 3\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 37*a - 6. Let p be f(-13). Let d = 308 - p. Solve -d*s = -4*s - 3*k + 7, 0 = 4*k - 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298806.5 hours in microseconds?\nAnswer: 1075703400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 60454, 60448, 60444, 60442, 60442, 60444?\n\"Answer: i**2 - 9*i + 60462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -1.9, 2\/7.\nAnswer: -46, -1.9, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 11 = 9. Let c = 1 + 1. Differentiate 0 - c*l**2 + r*l**2 - 2 wrt l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -320.127118 to 2 dps.\nAnswer: -320.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273254485?\nAnswer: 5, 7, 19, 53, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0544019613 rounded to three dps?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 7*z**2 + z - 1. Suppose 0 = 3*x - 3*a - 36, -5*x - 11 = -3*x + 5*a. What is w(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39532, -39526, -39510, -39478, -39424, -39342?\nAnswer: -39226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 6. Let j(o) = o**3 - 9*o**2 + 3*o - 11. Let a be j(9). Suppose 2*n - 6*n - a = 0. What is the nearest to c in -0.3, 3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.02 - 0.98. Let c = -35.6 - -31. Let d = 0.6 + c. What is the smallest value in x, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342950, -331841, -320742, -309659, -298598?\nAnswer: -287565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 6. Suppose 4*q - 2*q - f = 0. Suppose 3*k + 4*h + 5 = 26, 0 = 5*k - 5*h. Is q not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3cb (base 13) to base 8.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/30 + 100*y**4\/3 + 1183*y**2. Determine w so that m(w) = 0.\nAnswer: 0, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a = -34*a + 77 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/4705122 and -75\/107578.\nAnswer: 89397318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.505367637 rounded to 2 decimal places?\nAnswer: -3.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34664940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0.96. Let m = b - 4.04. Let c = -429 + 429. What is the third smallest value in 7, m, c?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1)\/y**(-2\/23) assuming y is positive.\nAnswer: y**(-21\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -573, -1142, -1719, -2304, -2897, -3498?\n\"Answer: -4*x**2 - 557*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 11:51 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310578 divided by 6.\nAnswer: 51763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1310321 is divided by 67.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 6*u - 8. Let t be n(7). Let p be 2 + -3 + 55 + -2. Let j = -367\/7 + p. Which is bigger: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 120442.7 and -3?\nAnswer: 120445.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 527289 and 392.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2*b = 43, 0 = -2*v + 723*b - 721*b + 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -996, -4515, -10390, -18627, -29232, -42211, -57570, -75315?\nAnswer: -95452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3. Let w(h) = 16*h**3. Let v = -45 + 147. Suppose -2*m - 32 = -5*u, -u + 26 = -3*m + u. Determine m*w(x) + v*j(x).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.9 - -0.9. Sort -1\/5, -2, w in increasing order.\nAnswer: w, -2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 14) to base 10\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -56*z**3 - 51*z**2 - 3*z + 3. Let n(m) = -55*m**3 - 50*m**2 - 4*m + 4. Let j(s) = -3*n(s) + 4*p(s). Find the third derivative of j(v) wrt v.\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s - 27*s + 15*s.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/20730 and 119\/6?\nAnswer: 20730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 280032 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 344567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/7*u**3 - 2\/7*u + 0 + 0*u**2 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30153*f**3 - 30185*f**3 + 90498*f**3 - 30163*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/39? (a) -3 (b) 5 (c) -11 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 23083\/18967?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 2*h**2 - h - 360. Let c be x(0). Let r = -96 - c. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -221, 38, 32, 0, -2.\nAnswer: -221, -4, -2, 0, 32, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (474\/(-104))\/(-4 - (-1043)\/245). Let a = j - -329\/13. Let o = 51\/56 - -153\/28. Calculate the common denominator of o and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/472498 and 30\/13.\nAnswer: 472498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98\/27 + -251\/270. Calculate the common denominator of k and -7\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 11*q - 6*q = 0. Suppose 1 = 3*p + 2*w - 0, -5*w - 4 = p. Sort q, p, -1 in decreasing order.\nAnswer: p, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(561) + (sqrt(561) - sqrt(561)*2))*3)\/(sqrt(11) + sqrt(99)\/(sqrt(9) - sqrt(9)*-1)))\/(4*((sqrt(6) + sqrt(96))*-4)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 16*b - 612. What is the remainder when b is divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 3*q**4\/4 + 2*q**3 + 3*q**2 - 8*q - 24. Let v(d) = 4*d**3 + 9*d**2 + 9*d - 12. Let u(f) = -7*i(f) + 5*v(f). Give u(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 8*n**2 + 7*n - 9. Let d be g(7). Let i = 132 - d. Is i\/(-2)*(5 + -19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -48. Solve -h = -2*b - 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.185512 to three dps.\nAnswer: -2.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -258400 rounded to the nearest 1000?\nAnswer: -258000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 14665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -414 - 22?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 6:02 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3617964426 to the power of 1\/3, to the nearest integer?\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 24 - 40 + 6*j)*(3 + 2 - 4)*(-4*j**3 + 2*j**3 + 4*j**3) - 520*j**3 + 520*j**3 + 41*j**4.\nAnswer: 53*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -10*j + 964. Let n be m(97). What is the closest to -3 in -1, n, 2, 1.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**7\/210 - 41*j**5\/10 - 131*j**4\/6 - 436*j**2 + 1. Find the second derivative of d(r) wrt r.\nAnswer: -12*r**2 - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((4\/(-5))\/2)\/(5\/25). Let r(m) be the first derivative of m**2\/2 - m + 131. What is r(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.172 or -1\/4?\nAnswer: 0.172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1488 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 5 + 7. Let o be 5\/l*(-330)\/22. Let d be (0 + 3)\/(26 - o). Solve -d*w - 12 = -6*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -75*d**2 + 30*d**2 - 25*d - 50*d**2 + 20*d**3 = 0?\nAnswer: -1\/4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 + 2*l**2 - 4*l**2. Let f(s) = s**3 - s**2 - s. Let z be f(2). List the prime factors of t(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106327.\nAnswer: 13, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2640 divided by 24\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 342579124 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -512918, -1025834, -1538750, -2051666, -2564582, -3077498?\n\"Answer: -512916*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*b**5*v**2 + 27*b**2*v**2 + 39*b*v**2 + 4*b*v wrt b?\nAnswer: 220*b**3*v**2 + 54*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3250 + 786 = -11*i. What is the greatest common divisor of i and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 26 = -5*x, 3*x + 3*c + 114 - 93 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -12*o + 90. Calculate w(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -566 - -658.9. Let m = r - 80. What is m rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34967000 to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -45 + 23 + 13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71191*f**2*m**2 - 4*f**2*m + 2*f**2 - 225*f*m + 23*f - 12*m**2 - 7*m wrt m.\nAnswer: -142382*f**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*n - 2*n + 6*n - 5*n as p + z*n and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + 2 - 3*q**2 + 0*q**2 + 10*q**2 + (-q - 4*q + 3*q)*(5 + 6*q - 5).\nAnswer: -5*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h + 0*h - 6*h + (39 - 52 - 56)*(-5 + 5 - 9*h) + (2*h + 3*h - 6*h)*(-1 - 1 + 4) - h - h + 0*h.\nAnswer: 615*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-1 + -2 + 2). Let k be x\/(-9) - (-8)\/6. Let u be (-7 - -8)*k*2. Solve -u*i - i = -15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 6, -9 - 25 = -f - r. List the prime factors of f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/125 and -73\/20.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 366225, 1464893, 3296007, 5859567, 9155573, 13184025, 17944923?\n\"Answer: 366223*z**2 - z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -19*i + 191. Calculate c(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 + 15*n - 21. Let i be m(15). What is the hundreds digit of i\/4*20\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 53 and 49 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 30 = -22. What is the highest common factor of i and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2788 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -80, -145, -170, -137, -28, 175, 490, 935?\n\"Answer: 3*g**3 + 2*g**2 - 92*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -8*w**3\/3 + 3*w**2\/2 + 4*w + 190. Give x(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32946*l + 64192 wrt l?\nAnswer: -32946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 10*r - 4 = 0. Suppose -r*q - 210 = -8*q. What is the highest common divisor of 14 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 6:20 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 3}. What is prob of sequence xu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12.4 in 2\/17, 1\/6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.4 (b) -0.05 (c) -39 (d) -11 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*r - 0*r - 193, -4*l + r + 341 = 0. Let a(u) = -u**3 - 6*u**2 - 6*u + 7. Let f be a(-5). Calculate the greatest common factor of l and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.53 + -0.03. Let u = j + -0.1. Which is the second smallest value? (a) -2\/11 (b) u (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14\/591 + 2956\/108153. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1892623.\nAnswer: 419, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -30 + -8 - -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 2*n - 50 = -40, -4*v - 3 = 5*n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570277?\nAnswer: 487, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(-435)*-297 + -15 + -12?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/k*k\/(k*k**3*k*k)*k**0\/k*(k**(-2\/5)\/k)\/k)\/((k\/((k**(-2)*k)\/k))\/(k\/(k**(-2\/3)*k))*(k*k**(-1\/3)*k)**36) assuming k is positive.\nAnswer: k**(-1151\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {d: 6, j: 2, c: 1, t: 1, l: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36.76 - -37. Let l = -0.24 + o. Let p = -1178.6 - -1179. What is the nearest to 1 in p, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(450)\/(-5*sqrt(45)\/sqrt(5)))**2 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l = 82*l. Which is the third smallest value? (a) l (b) 4\/7 (c) -0.054 (d) -5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 294794246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 5*a - 3. Let l be d(6). Let k be (2\/l - 1)*-21. Suppose -5*g + k = 2. Solve -5*p - 10 = 0, 5*n + 3 + g = 3*p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**3 + 2*r**2 - 3*r + 1. Let d be o(1). What is the first derivative of 2 - d + 2*c**3 + 6 wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from zrrzrrrz.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from ffllfflllfff.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1607754*u - 43721663 with respect to u.\nAnswer: 1607754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 96\/9 + (3\/(-9))\/(-1). Let t(l) = -l**2 + 11*l + 15. Let r be t(j). Suppose -2*v + 8 = -d, 2*d = -0*d + 4. What is the highest common factor of v and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9*-10*(-1)\/6. Let r be (-24)\/(-9)*f\/(-2). Suppose 3*d = -2*d - 2*k + r, -k + 13 = 4*d. Solve -d*j - 3*g = 3 + 3, -3*j = 3*g + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**5 + s**4 + s**3 + 1. Let u(y) = 6*y**5 + 5*y**4 - 7*y**3 - 17*y + 3. Let a(i) = -5*o(i) + u(i). Find the second derivative of a(d) wrt d.\nAnswer: 20*d**3 - 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 6*m + 15. Let i be v(5). Let s(x) = 26*x - i*x + 27*x. Let u(w) = -w**2 - 4*w**2 + w**2. What is s(u(o))?\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -180, 0.1, 10, 1, -3, -71 in decreasing order.\nAnswer: 10, 1, 0.1, -3, -71, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -1034, -2321, -4132, -6473?\nAnswer: -9350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(2016) + sqrt(14) + sqrt(14) + -1*sqrt(224))\/(1*(-1*sqrt(98)*4 - sqrt(98))) + 3.\nAnswer: -46*sqrt(7)\/35 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000011 + 111111?\nAnswer: -11000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -42*i**2 - 1781*i. Let u(t) = 2*t**2. Determine f(u(g)).\nAnswer: -168*g**4 - 3562*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z - 162 = 118 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-174)\/(-18) + (1 - 10\/6). Let g be (m\/10)\/(28\/(-140)). Is g at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -48, 3, 146, -33, 2, 0 in increasing order.\nAnswer: -48, -33, -1, 0, 2, 3, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 19*q**4 - 3*q**3 - 34*q**2. Let v(x) = 19*x**4 - 4*x**3 - 34*x**2. Let c(n) = -5*d(n) + 4*v(n). What is the third derivative of c(w) wrt w?\nAnswer: -456*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 333 - -102111?\nAnswer: 102444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116164, 465174, 1046852, 1861198, 2908212, 4187894?\nAnswer: 5700244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3501 - 5?\nAnswer: -3506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/18)\/((-276)\/(-414)). Which is the closest to -5? (a) -3 (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/23485236 and -173\/588?\nAnswer: 1150776564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33976 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 8145123.\nAnswer: 4\/8145123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l + 19 - 82 = 0. Solve 63*y**l + 35*y + 40*y**2 + 64*y**3 - 122*y**3 = 0 for y.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 2601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**6\/60 + z**5\/40 - 25*z. Suppose a(n) = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 4, 2\/117?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 29*h + 1107. Calculate n(-38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201, -180, -147, -102?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149 - 109 = -40*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-24)\/(8\/1) - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**5 - 25*b**4 + 5*b**3 + 105*b**2 - 90*b = 0. What is b?\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 2*m**3\/9 + 74*m**2\/3 + 146*m\/3 + 255. Factor v(g).\nAnswer: 2*(g + 1)*(g + 73)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.3, 2\/1527, 4?\nAnswer: 2\/1527","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -179, 1, -2, 4, 5, 433 in increasing order.\nAnswer: -179, -2, -1, 1, 4, 5, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u + 16. What is v(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 88*u - 7309. What is q(83)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -715 + 720. Solve 0 = -k*z - 5*c - 20, 2 = -8*z + 3*z + c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttll when four letters picked without replacement from ltlltl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.06 and 59588?\nAnswer: 59588.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*j - 11*j + 15*j + (-2 - 1 + 1)*(-j + 2*j + 0*j) + 3*j - 6*j + j + j + j - j)*(4 - 6 + 1) to the form l*j + y and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 183, 253, 323?\n\"Answer: 70*m + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 834126412*d**2*z**3 - 58830893*d**2 + z**2 wrt z.\nAnswer: 5004758472*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0275 - 234.0275. Let r = 234.2 + d. Sort 2\/3, r, 5, 4 in descending order.\nAnswer: 5, 4, 2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -21 - 3*q**2 + 20 - 9*q + q**2 + q**2. Let v be y(-6). What is the greatest common factor of 153 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -786*u + 785*u - 5 + 6. Let t(z) = 18*z - 22. Give 88*l(x) + 4*t(x).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 4*c - 4*c + (3*c + 0*c - 4*c)*(0 - 1 + 2) + 10*c + 23*c + 26*c.\nAnswer: 56*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -2*v**5\/5 + 2*v**4 + 2*v**3 - 10*v**2 - 16*v + 71. Determine o, given that r(o) = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-14 + (-32 - -18)) - 4 - 156?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 15\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3\/4))**18*(v**(-25)\/v)\/((v\/(v*v**(2\/5)*v*v*v))\/v*v))**50 assuming v is positive.\nAnswer: v**(-905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -46\/41805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 1 + (-3)\/(-1). Suppose x - 2*x + 65 = b*c, 4*c - 5*x - 55 = 0. Suppose -19*p - 36 = -21*p. What is the least common multiple of c and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1611 bigger than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 10:19 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 - 113 + 14*u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/5 (b) -5 (c) -1.41 (d) -696 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*4\/12 - 56. Let y = -39 - f. Solve 4*l = 3*c + y + 11, 3*l - 30 = 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3056 rounded to 1 dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111 + 0?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 31.022. Let n = -0.0116 - s. Round n to 3 dps.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/12848 and -47\/489830?\nAnswer: 3918640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.15 - 1.85. Which is the closest to r? (a) -0.5 (b) 1\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 49*h**4\/12 + 87*h**3\/2 - 84*h**2. Let s(p) = -19*p - 52. Let j(i) = 4*l(i) + 22*s(i). What is the derivative of j(v) wrt v?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.06, 1\/7, -1\/2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-639)\/1065)\/((-9)\/(-10)*1)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 9870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 8*n - 120. Suppose 0*i = -5*i + n. Let f be (1 + -4)\/(i\/(-10)). Solve -5*v + 5 = 5*p, f = -p - v + 6*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21988 and 896724.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 115. Let c be 8\/40 + a\/(-10). Sort -0.05, -2, c.\nAnswer: c, -2, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1317, -5561, -12935, -23685, -38057, -56297, -78651, -105365?\n\"Answer: -41*k**3 - 1319*k**2 + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/5 + 8*x**3\/5 - 26*x**2\/5 - 16*x + 96\/5.\nAnswer: 2*(x - 3)*(x - 1)*(x + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(5 + 1) + 82. Suppose z - j = -0*z - 4*g, g = -4*z + 278. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15876755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 14}. Give prob of sequence kmm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 66, 65, 64?\n\"Answer: -x + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 8*q**2 - 9. Let h be w(-8). Let o = 16 + h. Suppose 0 = 2*x - 0*x - 5*v - 9, -4*x - v + o = 0. What is the highest common factor of 18 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 6*((sqrt(2448) - (sqrt(2448) + -1))*1 - sqrt(2448) - -1*(1*sqrt(2448) + sqrt(2448))))**2.\nAnswer: 576*sqrt(17) + 88144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwuhwhhuwulhwwvwhh. Give prob of sequence ul.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3 = -2*s, -s - 3 = 3*x - 1. Sort 5, -4, 2, s in increasing order.\nAnswer: -4, s, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 13 + 2*c**2 + 14 + 7.\nAnswer: 2*c**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 961 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 20*v - 63. Let k be c(5). Suppose 10*q - k = -42. Solve r + q = -2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20a9 (base 14) in base 9?\nAnswer: 7653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10191587?\nAnswer: 7, 1455941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6))\/(8\/72). Suppose -4*r + 17 = 5. Let m(g) = 0 + a - 2 + g**r + 6*g**3. Determine m(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/((-2)\/(-60)). Suppose -2*b - 19 - 14 = -5*h, -5*b - h = k. Suppose 1 = -3*m + 4*l, m - 8*l - 3 = -5*l. Put m, b, -2, -6 in descending order.\nAnswer: -2, m, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/16 of a minute?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 2. Let s be v(2). Let c(g) = 2*g + s*g - 2*g - 3*g + 2 + g**3 - g**2. Let k be c(2). Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 - 8 = -4*b - a, 2*b + 34 = -a. Let j be (147\/b)\/7 + 1. Let w = 2.5 - 2. Put -3\/8, j, w in increasing order.\nAnswer: -3\/8, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3891 a factor of 342503490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5 - 46*m + 56*m - 26*m. Let t be f(3). Let c = t - -109. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2058 and 4802.\nAnswer: 14406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-1) + -2)*18. Let n be 6\/(-27) + (1 - 5674\/s). Let k be n\/20 - (-1)\/5. Solve -k = 5*o + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3354 (b) 0.5 (c) -9 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.3 (c) -1.4 (d) 6\/17 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 5 + 36)*(4 - 5*j - 4) + 2*j + 3*j - 3*j + 6*j - j - 3*j + (-j + 4 - 4)*(-4 + 6 - 3) as x*j + y and give x.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31903 by -61.\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/2)\/(47 - 46). Let d(g) = -11*g + t*g**3 - 11*g**3 + 5*g. Let h(x) = -55*x - 81*x**3 - 62*x**3 + 43*x**3. Give 55*d(m) - 6*h(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 2*b. Let d(f) = -4*f**2 + 62*f - 20. Let w be d(15). Suppose w*z + 10 = 15*z. Let u(r) = 4*r**2 - 7*r. Determine z*u(a) + 7*y(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -188, -295, -418, -563, -736?\nAnswer: -943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 639*i - 10 + 510*i - 8 to p + t*i and give t.\nAnswer: 1149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71 and 15052?\nAnswer: 15052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) + (sqrt(136) + -1*sqrt(136) + sqrt(136))*5 - sqrt(136))*-5)\/(1*2*sqrt(72)))**2.\nAnswer: 10625\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -4, 41.\nAnswer: -4, 32, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3083.2319 rounded to the nearest ten?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 82*l + 1. Suppose 5*c = -5, -2*p - c = 2*c - 17. What are the prime factors of n(p)?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 1945917.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-2*g + 8*g + 2*g)*(-2*g**2 - 3 + 3).\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + 6252?\nAnswer: 6234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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 t = -5.09703 - -0.09703. Which is the third smallest value? (a) 2.2 (b) t (c) -2\/11 (d) -0.1 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/475950 and -55\/3.\nAnswer: 475950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 18*o - 7. Let d(j) = j**3 + 4*j**2 + j + 2. Let b be d(-3). Let m be x(b). Let r = m + -94. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825821 bigger than 1825820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 4*p - 4*p)*(35*p - 5*p - 4*p)*(0*p + p - 3*p + (-3*p + 4*p + p)*(3 + 5 - 4) + 1 + 3*p - 1 + 3*p - p + 0*p).\nAnswer: 286*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5670510135.\nAnswer: 3, 5, 149, 2537141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*b + w - 11, -3*b + 4*w - 17 = 0. Suppose -16*c = 12*c - 644. Suppose 6*k = b + c. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiinmim. What is prob of picking 1 m, 2 i, and 1 n?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-153)\/(-12))\/(441\/490*5)*(-12)\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 110*f**2 - 1 + 23*f - 7*f - 14*f to a + i*f**2 + n*f and give i.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1405*j + 722*j + 83798 - 5125 = -14915 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 2. Let f be (50\/(-18) + 3)*k. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - k = 8, -4*f + 0*k - k - 18 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*y**3 + 0 + 2\/7*y**4 - 2\/7*y**2 + 2\/7*y.\nAnswer: 2*y*(y - 1)**2*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r\/(r\/r**(-9)*r)))\/r)\/(((r\/(((r*r*r**(-11)*r*r)\/r*r)\/r))\/r)\/r))**31 assuming r is positive.\nAnswer: r**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3843*h**2 + 4353*h**2 + 0*h + 0*h to q + c*h**2 + w*h and give c.\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**(-3\/10) assuming c is positive.\nAnswer: c**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 18. Let q = y - 16.5. Let j = 2.4 + q. Is 12 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*a + 0*a = 0. Solve a = -9*f + f - 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4, 2*o + 0*o = 4*h + 96. Is (-2206)\/h - 2\/(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 273 (b) -4 (c) -165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1121306?\nAnswer: 2, 560653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/36 and 11\/14280?\nAnswer: 42840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962 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: What is the third root of 1050490 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**3\/3 - 3*m**2\/2 - 2. Suppose 2*a - 2 = a. Let d be a*(-1 - (0 - -1)). What is o(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 595973 and 1295009.\nAnswer: 4481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*d**2 + 13*d**2 - 23*d**2.\nAnswer: 43*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903625?\nAnswer: 5, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 7046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 3472.\nAnswer: 1\/3472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7306226 - -0.72467. What is j rounded to 4 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2453808 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(3\/(-2 - 13)). Let m be (k\/(-12))\/(2\/8). Let i = 7 + m. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)*-2*1)\/sqrt(6))\/(-1*sqrt(33)\/sqrt(3) + (1*sqrt(88) - sqrt(88))\/sqrt(8)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 446489897 to the power of 1\/3, to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 627 - 973 + 560 + 507*q. Let t(x) = 169*x + 72. Let p(m) = 6*i(m) - 17*t(m). Differentiate p(h) with respect to h.\nAnswer: 169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22316 divided by -4.\nAnswer: 5579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h + 9*h**2 + 5*h**2 - 3*h**2 + 3*h**3 + 9*h to the form p*h**3 + r*h**2 + k + l*h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5791 - -5826. What is the biggest value in -1, 31\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t + 3. Let f = 22 + 33. Suppose 5*a + 90 = f. Let w(s) = -11*s + 5. Calculate a*p(i) + 4*w(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: 252767 times -0.3\nAnswer: -75830.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - 54) + (-6 - (-13 - (-5 + -2)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 3:26 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40860.5 millilitres to litres.\nAnswer: 40.8605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-1)*(5 - 9). Let v = -4 + 0. What is the third biggest value in v, 1, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150108151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/33)\/((-2)\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 166 + 83 + 83446*n**2 - n**4 + n - 83445*n**2 - 2*n**3 to q + x*n + r*n**2 + s*n**4 + k*n**3 and give q.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06639 + -299?\nAnswer: -299.06639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((((y\/y**(-3\/10))\/y)\/y)\/y*y))\/(y\/((y*y\/(y**7\/y))\/y)))\/(y**(-3\/11))**(-3) assuming y is positive.\nAnswer: y**(-563\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 - -2.02. Let x = -0.4 - 0. Let c = 0.5 + x. What is the biggest value in c, h, 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -3*q + 9*n, 135*n - 131*n + 42 = -5*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 26*h**2 + 32*h + 140. Let o be m(-27). Let g(p) = 8*p - 22. What is g(o)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -512.7521 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k - 10. Let s be u(4). Let o(g) = g**3 - 6*g**2 + 4*g + 17. List the prime factors of o(s).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.23421 and 22.\nAnswer: -357.15262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (13 - -8) + 45 + -5\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 323.130212 to 0 dps.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 4, -1\/2, 8\/7 in ascending order.\nAnswer: -1\/2, 2\/5, 8\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k. Let p be v(-1). Let f be 15\/((-9)\/3) + p. Let b = f - -8. Do b and 2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w. Let c(l) = -2*l**2 + 5. Let j(v) = -3*v**2 + 6. Let i(u) = 6*c(u) - 5*j(u). Give f(i(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -7, 4\/9, -0.0541, 0.3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 271.999999661 + -272. What is v rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -2 - (-10 - -17 - (-1 + 9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3. Suppose -4 - w = -3*z. Let f = 17 - 12. Solve -2*t = z*t - 16, -f*t + 17 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510319.\nAnswer: 510319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2488*r + 14920. Determine x(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.242 to 2 dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(45)\/(sqrt(36)\/sqrt(4))*-1 + 3).\nAnswer: -3*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*l = 3*l - 25, 0 = 4*l + 20. Let b(q) = 6*q + 4. Let j(s) = 13*s + 8. Let u(g) = -9*b(g) + 4*j(g). Give u(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 335815032 and 784.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145394?\nAnswer: 2, 139, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 t when three letters picked without replacement from {t: 6, m: 4, q: 3}.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 37*k**6\/3 + k**4\/12 + 40*k**3 - 2*k**2 - 936. What is the second derivative of s(z) wrt z?\nAnswer: 8880*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21443*q - 8090 = -21505*q - 1253 + 1843 for q.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z**2 + 32*z + 57. Give o(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 2*k**2 - 3*k**2)*(k + k + 2 - 3*k).\nAnswer: k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5*p - 40 = 0, -5*r + 7*r = -p + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**2 - 25*g + 7. Suppose -n - 5*z + 12 = 0, 5*n - 3*z - 1 = 31. Does 11 divide b(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**4 + 3*w**3 - 8*w**2. Let g(o) = -2*o**4 - 4*o**3 + 9*o**2. Let i(y) = -4*b(y) - 3*g(y). What is the third derivative of i(a) wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*i - 26. Let q = i - -63. Solve -5*m = 7 - q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 9870.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 12, v: 6}. What is prob of sequence ovvo?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 4:56 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a milligram in micrograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4 = -3*n, 3*d - 26 = 3*n - d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -29, 30, -1 in decreasing order.\nAnswer: 30, -1, -2, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -5*p**4\/24 + 505*p**3\/2 - 459045*p**2\/4 + 233*p. Factor v(f).\nAnswer: -5*(f - 303)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 134922201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 6 = 0, -i - 4 - 6 = -2*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 84576, 168895, 253216, 337539, 421864?\n\"Answer: x**2 + 84316*x + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-10))\/(51\/1768). Let k be (-2)\/10*(-3467)\/11. Let m = k + n. What is the common denominator of -31\/5 and m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - w - 1. Let t(y) be the second derivative of -5*y**4\/12 + y**3 + 3*y**2 + 57*y. What is -4*i(f) - t(f)?\nAnswer: f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 - 1191*s - 26328. What is j(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 38 + 113. Let y = s + -22. Solve 0*r + 2*f + 8 = 2*r, r + y*f + 16 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -7.9376\nAnswer: -8.4376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 165*d. Let g(o) be the second derivative of o**4\/6 + 159*o. Determine g(j(p)).\nAnswer: 54450*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 + 132. Let u(a) = -d + 21 - a - 3*a. Let i(h) = 5*h + 8. Calculate -6*i(k) - 7*u(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 8132.4214 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 927\/(-60) + -1 - 2\/(-10). Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**4\/6 - 11*p**3\/2 - 86*p**2. Let j be t(-9). Solve o - 2*o + j*c = -5, -4*o + 5 = 3*c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*x**3 + 276*x**3 - 542*x**3.\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -180487, -180460, -180409, -180328, -180211, -180052?\n\"Answer: a**3 + 6*a**2 + 2*a - 180496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 79690.6 to the nearest one hundred.\nAnswer: 79700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25058*q**2 + 67478*q.\nAnswer: -50116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6524429212 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 r, and 1 u when three letters picked without replacement from {r: 1, d: 2, u: 3, s: 5, m: 5}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 131*v. Let l(c) be the second derivative of -11*c**3\/6 + 10*c - 22. What is y(l(r))?\nAnswer: -1441*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00370141 to four dps.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30\/79 - 887\/3792. What is the common denominator of 155\/252 and o?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 1 - 0)*9\/(-9). Let t be ((-18)\/(-18))\/(f\/(-8)). Solve 10 = t*z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*l**2 + 586*l**3 + 2*l**2 - 196*l**3 - 286*l**3 to q + o*l**3 + y*l**2 + x*l and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbrr. What is prob of picking 3 b and 1 r?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 40*b - 10. Calculate the smallest common multiple of 55 and z(1).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288274 to the power of 1\/2, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -636*n - 33716. Calculate r(-53).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4789 + -2858. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 750731199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 70 in 0, 4, 1, -1.35, 0.18?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2 (c) 3 (d) 13 (e) 0.3 (f) -0.065 (g) 116\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1088 and 686.\nAnswer: 373184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109371*w**3 + 67632*w**2.\nAnswer: 656226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 28, 0.8, -4\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n + 1. Let r be (-8 - -7)\/(n\/(-47)). Let m = r - 187\/4. Is m < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22263 and 189789?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 + 2 - 2)*2. Let s = r - 17. Suppose 8 = g + s. Solve f = g*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*r - 3 = -f, 0 = 3*r + 5*f - 15. Suppose d - 15 = -d + 5*q, r = -4*d + 5*q + 25. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 0.00565436477\nAnswer: 14.99434563523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1928*n + 3610*n + 87228 = -6727*n - 1283*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 8 + 48 = 0. Calculate the lowest common multiple of 12 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8*c**3 + 2*c**2 - c - 1. Let o be n(1). Let w(v) = -1 + 19*v + 9 - o. Let q(f) = 2*f**2. Calculate q(w(x)).\nAnswer: 722*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 48. Let p be w\/(-6) - (-12)\/18. Calculate the highest common divisor of 27 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000259293 rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**4\/24 + s**2. Let p(d) be the second derivative of -3*d**3 - 161 + d - 3*d - 111 + d**3. Give p(m(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/114? (a) 1 (b) -2\/5 (c) -251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1377539*g*r - 17930*r - 16 wrt g?\nAnswer: 1377539*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 10*m - 16. Let v be l(5). Suppose 10*r - 2 = v*r. Solve w - r*w = 2*j - 9, j + 4*w - 8 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 3 - 61*j**2 + 16*j**2 + 153*j**2)*(-3*j**2 + 6*j**2 - 5*j**2 - j**2 + 0 + 0 + (-3*j**2 + 7*j**2 - 3*j**2)*(-4 + 2 + 0) + 2*j - 2*j - 2*j**2).\nAnswer: 7*j**5 - 756*j**4 + 21*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123 + -431111?\nAnswer: -431234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 5, -5, 4, -11 in descending order.\nAnswer: 21, 5, 4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -481, -475, -457, -421, -361?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(-10)\/75*3. Is 12 a factor of b + (-1 - 1) - -100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d**17\/d)\/d))*d*(d*d*d\/(d**12*d))\/d)\/(((d*d**(-3))\/d*d)\/d)**(-42) assuming d is positive.\nAnswer: d**(-121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 100*i - 377. Determine j(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -34. Suppose -j = -p + 189, -v*j + 555 - 156 = 2*p. Is 24 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnqqqnnnqnhnnhhn. Give prob of picking 1 n and 1 q.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*j**2 + 53*j**2 + 42*j**2.\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -44076 and -44078 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 10*p**4 - 2*p**2 - p + 83. What is the second derivative of r(a) wrt a?\nAnswer: 240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfdj when four letters picked without replacement from {f: 2, q: 4, j: 4, d: 2}.\nAnswer: 8\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20 + -18 - 130\/(-7). Let z = 1598\/77 - d. Factor 0*n**2 - z*n**3 + 0*n + 0.\nAnswer: -2*n**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + (-4*sqrt(88))\/sqrt(8) + 4.\nAnswer: -4*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2009 and 108927.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -80*r - 2. Let m be j(-1). Let y = -51 + m. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1680*g + 2950 - 24790 = 0 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 37*k**2 - 5*k - 85. Give b(37).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**7\/42 - 238*t**2 - 2*t. Solve c(i) = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.4, 2\/7, -36?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) + (-5)\/(-2). Calculate the common denominator of -1 + 1\/(16\/20) and (1\/y)\/((-8)\/474).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1329556?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4 - 0)*2. Let m be (-930)\/248 - ((-7)\/4 - -1). Sort 1, m, w.\nAnswer: m, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -37, 7, 101, 263, 511, 863?\nAnswer: 1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3885116 is divided by 380.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-540)\/(-1080)*10\/9.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 8*l + 10*l - 9 = 0, 5*l - 36 = q. Which is the nearest to -1? (a) -4 (b) -0.3 (c) q (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + d**2 + 7*d - 4. Let h be i(3). Let m be 1\/((-4 - h)\/3). What is the second smallest value in 1\/5, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2 - 2)*(2 - 2 + 3*l**4) - 6*l**5 - 4*l**3 + 4*l**3.\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 10 = 3*a, -5*r = -a - 3*a + 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 170 = -2*d - 146, f = -6*d - 8 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3783005 to two decimal places.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2088 - -2080. Let j(t) = 4*t**2 + 4*t. Let c(s) = -s. Determine z*c(y) - 2*j(y).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 405*k - 465. Let j be g(-33). Is -13830 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3174647 and 5572?\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 51*k**2 - 34*k + 954. Let g be o(-52). Solve g*a + 88 + 2 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1341 (b) 1\/6 (c) 2 (d) 1\/2 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 74 = 3*b. What is the remainder when b is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112140 + 112140.0073609. Round m to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58.2 + 53. Let p = -5 - z. Let l be (-8)\/(-6)*2\/8. What is the closest to -1\/3 in 2, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -0.7. Let m = -0.046 + -0.184. Let x = -5.23 - m. What is the closest to 0.1 in x, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7106300 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Suppose 0 = -c*j + 4*j + 3. Is (-56)\/j + (-1)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11156837?\nAnswer: 11156837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36278 is divided by 511?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 16407, 1, 4, 313 in decreasing order.\nAnswer: 16407, 313, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 51.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 368.22 + -375. Let o = p - 0.82. Let k = o - -7.6000194. Round k to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 778700174 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/2 - -2)*(6 + -6). Solve -r + 2*w - 9 = -2*r, 2*r - 4*w + 6 = q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 3 (b) 1\/2 (c) -8\/27 (d) -5470 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/63*(-9 - -2). Put x, -2, -4 in decreasing order.\nAnswer: -2, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 2*l**2 + 2*l + 3. Let v = 45 - 48. What is the tens digit of z(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(sqrt(68)*2 - sqrt(68))*-6)\/(sqrt(576)*2 - sqrt(800)\/sqrt(8)).\nAnswer: 180*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdlihdd. Give prob of sequence hlb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 4 (c) -6135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 7*k**2 + 10*k - 20. Suppose -5*v - 560 = 5*c, -v + c = -54 + 168. Let t = v + 124. Let f be n(t). 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 -3075534 divided by -139797?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 142\/1491 + (-1004)\/(-42)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 9:39 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 8*a + 11*a = -8, 0 = 2*w + 4*a + 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*u + 96, -5*u - 2*r + 234 = 2*r. Let j = -635\/14 + u. Calculate the common denominator of 95\/6 and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241837430.\nAnswer: 2, 5, 101, 149, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129 + -1159\/9. What is the closest to c in 0.2, -1\/5, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3385 by 41.\nAnswer: 3385\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 2*w + 709*w**2 - 2 - 709*w**2. Determine b(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2612.0133 months?\nAnswer: 21.7667775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3\/4 + 338025*u**2\/4 - 676059*u\/4 + 338031\/4 = 0 for u.\nAnswer: -112677, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 19*w**2 + 11*w - 4. Let f be p(6). Let t = f + -536. Is t < -100\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*g = 12 + 2, -2*x + 26 = g. Let r be 0\/6 - x\/(-1). Let w = 14 - r. Solve v + 2*n = 4, -2*n = 3*v + w*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -106*j**2 + 8*j. Let v be i(6). Let u be (-208)\/130*2\/8 + (-226279)\/(-60). Let k = v + u. Calculate the common denominator of -59\/27 and k.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-72)\/45)\/(66\/(-90)). Suppose -4*t - 23 - 22 = -5*w, t = -5. Suppose -w*i + 11 = 1. Is i smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + (-58 + 30 - -19 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaavaa. What is prob of sequence av?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 3. Let y be z(-7). Let w = y + 22. Suppose 5*v = -4*r, -r - 3 - w = 5*v. Solve -3*u + 4*t = -2*u + 18, 0 = 2*u + r*t - 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 15) to base 2\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11606 < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 - -51555300500.\nAnswer: 51555300499.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 = -3*x, 2*x - 3*g = x - 12. Suppose 3*v = 15 - 0. Sort 0, x, v.\nAnswer: 0, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (26 - 31) + -17\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20445*c**4 + 8647*c**2 - 3284*c**2 + 18985*c**4 wrt c?\nAnswer: -35040*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2875994, -2876016, -2876036, -2876054, -2876070, -2876084, -2876096?\nAnswer: -2876106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/37)\/x**19)**39 assuming x is positive.\nAnswer: x**(-27339\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5461280 divided by -32\nAnswer: 170665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48*(6\/8 - 0). Let b(n) = 2*n - 36. Let p be b(18). Calculate the common denominator of t\/(p - (-1 + 8)) and -70\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 4. Let z(w) = -9*w + 23. Let g be z(3). What is l(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 1449?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 991182383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 19*t**2. Let j(m) = 7*m + 38481. Calculate j(c(a)).\nAnswer: 133*a**2 + 38481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 + 529*y**3 - 12 + 3*y**2 - 3*y**2.\nAnswer: 529*y**3 + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-14))\/((1170\/39)\/(-1140)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*j + 81 = -0*h, -5*j - 339 = 4*h. Let g = -48 - h. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 60*o = 171*o - 3705, -4*k - 150*o = -145*o - 26 - 66 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 42. Let h = -2222 + 2226. Solve -z + j = h*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/13 (b) 0 (c) -18 (d) 0.3 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 7*v - 4. Let i be s(8). Let c be (-40)\/(-15)*3\/i. Solve -1 + 3 = -c*o, r - 3*o = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 - 3*z**2 - 2*z**2 - 3*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 - 13. Suppose x = -0*x - 14. Let y = -2 - x. What is the greatest common divisor of y and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (204 + -181 - (16 - (3 - (-5 + 3)))) + -103?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 + 13*g**2 + 14*g + 3. Let l be a(7). Suppose 0*z + 3*w = -2*z + 42, -l = -2*z + 2*w. Calculate the least common multiple of 5 and z.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, g: 2, h: 5, m: 5, o: 1}. What is prob of sequence hm?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 11*c**2 - 17*c - 6. Let v be l(8). Let w = 340 + v. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4376 * 1.4\nAnswer: 0.61264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -174686266 - 1.78?\nAnswer: -174686267.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**3\/2 - 633*l**2\/2 - 5352*l - 21792 = 0?\nAnswer: -8, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*k = -36725, -o + 6*k + 18363 = 4*k. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8860 less than or equal to 968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26196147 is divided by 188?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d = 14*d + 1260. Let t = 1 + 2. Suppose -12*p + d = -t*p. Solve 5*l + p = 0, n + 2*n - 3*l - 9 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -15\/2*t**5 + 9*t + 81\/2*t**3 + 0 + 9\/2*t**4 + 75\/2*t**2 = 0.\nAnswer: -1, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 4*l**2 + 2. Let q be a(-4). Suppose 7224 = q*t - 12352. Let m = t + -23188. What is m rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000014645 rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yeq when three letters picked without replacement from {e: 1, t: 4, y: 2, q: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + -1111010001000110111000?\nAnswer: -1111010001000110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 5*q**4\/24 + q**2 - 24. Let w(v) = 3*v. Determine w(m(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3915 = 5*t, -o + 521 = 3*t - 274. Let a = o + 1214. What is a rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**4\/12 - x**3\/3 + x**2. What are the prime factors of k(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1106 = 3*c, -525 = -2*f + 5*c + 35. What are the prime factors of f?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3974*d + 39752. Give f(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -g. Calculate the remainder when 2\/(-4 + 36\/8) is divided by (4\/(-12))\/(g\/(-18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*-2.8109.\nAnswer: -3.93526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = 16*i - 339. Solve -9 = 4*s - 8*k + 3*k, -5*k + i = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653721?\nAnswer: 3, 217907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4982167, -4982176, -4982185, -4982194?\nAnswer: -4982203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 12:35 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.2706l in millilitres?\nAnswer: 23270.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24349, -24350, -24351, -24352, -24353?\nAnswer: -24354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3))**(-14)*o**3*o\/(o**(2\/13)*o) assuming o is positive.\nAnswer: o**(-71\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 11. Let t = 7 - a. Find the second derivative of 16*j - 11*j + 0*j**2 + 5*j**t wrt j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -797*d**2 + 499.\nAnswer: -1594*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 4, h: 2, r: 2, j: 2, x: 7}. Give prob of sequence xj.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**5\/30 + y**4\/8 + y**3\/6 + 3*y**2\/2 + 4*y. Let z(g) be the first derivative of b(g). List the prime factors of z(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 2*f - 5. Let j be g(-5). Suppose 0 = -2*z - 34 + 10. Let c = j + z. Calculate the remainder when 35 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*p = 25085 - 21893 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7797906785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(17) + -1 + sqrt(17) + 2).\nAnswer: -4*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 548.48?\nAnswer: -7130.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -27*o**4\/4 + o**3 - 88*o. Factor w(a).\nAnswer: -3*a*(27*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(4 + -5)\/1. Let g = -11.5 - -12. Sort x, 4, g.\nAnswer: x, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 280148 and -0.3?\nAnswer: -84044.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 8) in base 14?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11 - (0 + -1 + 4). Suppose 4*y + 64 = d*y. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -2*w**6\/15 + w**4\/4 + w**3\/6 + 9*w. Factor m(l).\nAnswer: -l*(l - 1)*(2*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 (base 10) in base 4?\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8528 + 50049.868902\nAnswer: 41521.868902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 27087, 7, -21, -5, 4 in decreasing order.\nAnswer: 27087, 7, 4, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x + 1. Let r(b) = b. Let l(w) = m(w) + 6*r(w). Let j(f) = -3*f**3 + 5*f - 5. Let p = 414 - 387. Let k be (-15)\/(-4)*36\/p. Give k*l(t) + j(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 533573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 297*w**2. Let s(u) = 30*u. Calculate i(s(a)).\nAnswer: 267300*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9871082 - 118300199\/12. Let p = 12740 - l. Find the common denominator of -29\/3 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -3cc579?\nAnswer: 3cc574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 45 + 3 + -14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a = 0. Suppose 3*z = 2*h + 15 + 21, 5*z + h - 47 = a. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-4)*o*o*o)**(-7)\/(o**0*o*o**(-3\/5)))**(8\/13) assuming o is positive.\nAnswer: o**(-16\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**2 - 1. Let j be n(1). Suppose 6*t - t - 44 = -j*c, -3*t - c + 32 = 0. Let m = -40 - -64. What is the greatest common factor of m and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 147 - -37?\nAnswer: 17e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196161589?\nAnswer: 13, 17, 41, 21649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -155\/138 + 2193\/2990. Find the common denominator of i and -37\/30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 8669?\nAnswer: -8666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31.331 + -0.431. Let b = i - 31. Let n(w) = w + 6. Let u be n(-6). Is u > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56407\/10 - -5647. Let d(s) = -60*s. Let w be d(-6). Calculate the common denominator of b and -6 + 159*4\/w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -136 and -57.94916.\nAnswer: 7881.08576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**3 - 13*v**2 + 502*v - 1444. Give g(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 368015.89 at most 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2146*f. Let x(b) = 4*b**2. Determine x(j(i)).\nAnswer: 18421264*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.06, 8\/45, 1, 274 in descending order.\nAnswer: 274, 5, 1, 8\/45, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*h + 2 = -14, 5*h = 3*o + 9. Is ((-54)\/(-24))\/(o\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -0.5 (c) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 13*m + 584. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (28 + -1) - 33\/3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7*c + 228 = 0. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + y + 3. Suppose 0 = -34*s + 31*s. What is the common denominator of y - (-9)\/(-84) - s\/1 and 139\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14414 - 7410. What are the prime factors of p?\nAnswer: 2, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 9. Let m be 0 + 1 + s + 2. Suppose -b - m*b = -144. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/80 in -2, 1\/4, 0.4, 1\/190?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6089665 + 0.\nAnswer: 6089665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 3066 - 1902 = -13*f. Solve 2*d + f = 218 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -497?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -739 + 677.2. Round d to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csrs when four letters picked without replacement from sjjjccrjqrcjsccccc.\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*y + 4668 - 4861 + 14833 = 0 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s + 8. What is b(5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-3))\/((-11)\/165). Suppose -c*x + 3*o - 1 = -7, 0 = -2*x + 2*o + 4. Is 1\/59 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 858 + -834. What is the remainder when 139 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + 1 + -225 + 217 + -8\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 175334.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2113469 to the nearest integer?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 149406 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.87 + 30.13. Let o = 8 - c. Let t be (-2)\/3*(-2)\/(-4). Which is bigger: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -1224 - 671. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/3))**45)**11)**32 assuming u is positive.\nAnswer: u**(-10560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/2835666 and 37\/44184.\nAnswer: 79398648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*t + 123*t - 378 = 0. Let v = t - -537. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 3742340.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*n**2 - 4*n**2 + 2*n**2 + (0*n + 2*n - 4*n)*(-6*n + 2*n + 2*n) + 0*n**2 + n**2 - 2*n**2)*(n - 96 + 8*n + 97) as u*n**3 + p*n + d*n**2 + i and give u.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n - 12. Let x(u) = 0 - 2 + u + 1 + 0. Let y be x(-7). List the prime factors of d(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l - 10. Let m(t) = t - 3. Let y(g) = -11*m(g) + 4*w(g). Let z be y(5). Is (z\/(-4))\/((-2)\/(-148)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-10)\/5 + 90. Suppose s = 4*r - 29. Calculate the highest common divisor of 150 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 17. Let c be f(-11). Let l be (2692\/c)\/(9\/135). Let r = 3680 + l. Round r to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.08845 bigger than -1061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -170*v**4 - 263.\nAnswer: -680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 2.7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2 - 47*a - 76. What is q(-20)?\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 172\/(-24) + 4. Which is the nearest to 0.1? (a) -4 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**2*s*w - 4*l**2*s - 8016*l**2*w + 3*s*w + 2*s + 4*w + 17 wrt l?\nAnswer: -2*l*s*w - 8*l*s - 16032*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -370484\/55 or -6736?\nAnswer: -6736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - (-32)\/5)*155?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105677461*o**3 + 55986665*o**2.\nAnswer: 634064766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(16\/294) - 18. Factor b*p**2 + 3\/8*p + 0.\nAnswer: 3*p*(p + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -250 (b) -0.203 (c) -4 (d) 2\/3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p**2 - 2*p)*(8 - 5 + 4)*(p**3 - 7*p**3 + 0*p**3) + (3*p**4 - 4*p**4 - p**4 + (5*p**3 + 3*p**3 - 5*p**3)*(2*p + 0 + 0))*(p - 34 + 34).\nAnswer: 46*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**6\/120 - q**5\/10 - 7*q**4\/24 + q**3 + 4*q**2. Let v be a(7). What is the tens digit of 98\/v + (-6)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33c7 (base 13) to base 15.\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/13*(-241605)\/24780?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897637455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9652 < -9620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**5\/4 + 5*j**4\/12 + 12*j. Let s(l) = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 3\/2, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1836*m - 2. Let v(f) = 3*f**2. Determine b(v(r)).\nAnswer: -5508*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ookoqqqokoqoooqoooo. What is prob of sequence okq?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 11*t + 13. What is z(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15395 divided by 55?\nAnswer: -3079\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3 - 3088*z**2 - 18582*z - 27900 = 0.\nAnswer: -3, 1550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 84a (base 11) in base 2?\nAnswer: 1111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179 - 314 = -15*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*h**3 - 2605*h**2 - 15300*h.\nAnswer: -5*h*(h + 68)*(7*h + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*p + 18. Suppose p = -3*t - 3*a, -2*t = t + 2*a + 1. Is -1\/8 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49.9659 - 1.1301. Let z = v - 0.504. Let p = -52 - z. What is the smallest value in 1, 0, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20, 1450, 3898, 7324, 11728, 17110?\n\"Answer: 489*o**2 + 3*o - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 201\/1129?\nAnswer: 201\/1129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i**4 - 494*i**3 - 2478*i**2 + 2174*i + 812 = 0. Calculate i.\nAnswer: -29, -7, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -8. Let f be 1*(-3 - (-2 + 0)). Let x = w + f. What is the greatest common factor of x and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4, 5*s = -3*j - 2*j + 1605. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8170585*r**4 + r**2 - r - 8063586 wrt r.\nAnswer: -98047020*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598891?\nAnswer: 598891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -101, -120, -149, -188?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u\/((u*u\/(u\/(u*u\/((u\/(u*u**2*u))\/u))))\/u)*(u*u**2)\/u)**45\/(u*u*u**(2\/3)*u\/(u\/(u*u\/u**6*u))*(u**0*u)**(-8)) assuming u is positive.\nAnswer: u**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33021035 and 248370?\nAnswer: 2435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1446133 is divided by 580?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 2*g**2 + 0*g**2 + 23*g**2 as r*g**2 + t*g + i and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -397 - 1?\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 10 = 5*c - 3*c, c = -2*y - 5. Let x be 1\/(-12) - 6\/72*y. Let x*u**3 - 1\/4*u**2 - 1\/2*u + 0 = 0. Calculate u.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 5*n**2 - n + 4. Let l be f(5). Let z = 0.6 + -0.6. Let x be (-4)\/(-5)*-3 - -2. Which is the closest to l? (a) x (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-870)\/(-20))\/((-1)\/4). Let b = -105 - m. Does 23 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1650642415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 40709, 81335, 121961, 162587, 203213, 243839?\n\"Answer: 40626*s + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -216 - -195.8. Let y = x + 19.8. Let o = 2.5 - -0.5. Which is the nearest to 0? (a) 4 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - g**4 + 2*g**2 + 2*g**3)*(143 + 121 - 364).\nAnswer: 100*g**4 - 200*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + sqrt(175))*-5*-6 + (4 + sqrt(175) + 0 - sqrt(175) - (sqrt(175) - 6*(sqrt(175) - ((-1*sqrt(175))**2 + sqrt(175))))).\nAnswer: -1107 + 145*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 1025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/4 + 513*b**2 - 10281*b\/4 + 2057 = 0 for b.\nAnswer: -2057, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - -11 - (-19 - -10). Let z(a) = a**3 - 23*a**2 + 29*a - 65. Is 89 a factor of z(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -424, -849, -1236, -1579, -1872?\n\"Answer: h**3 + 13*h**2 - 471*h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, k: 3, d: 3, i: 4}. What is prob of picking 1 d and 2 i?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 47*t - 565. Let g be y(10). Let u = -3 - -3. Which is the biggest value? (a) -0.1 (b) g (c) u (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuuukuuuuukuuk.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyllyyyylylylyllylyl. Give prob of picking 3 y and 1 l.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/124759 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from bhzututzlzuzzt?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtrtttttyitrrrirnrt. Give prob of sequence titn.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (-5 + sqrt(343))*4)*-4 - 3*((sqrt(343) - (4 + sqrt(343) + (sqrt(343) - sqrt(343)*-1)) - sqrt(343)) + sqrt(343) - (sqrt(343) + 1 + 0)))**2.\nAnswer: -10486*sqrt(7) + 28256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h + 17*h - 18 = -p - 3, h = 9*p - 50 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3213 (base 6) to base 16.\nAnswer: -2d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) - (sqrt(204) + sqrt(51)))\/sqrt(3) + -6*(0 + sqrt(17)) - (-1 + sqrt(1377) + -3))**2.\nAnswer: -136*sqrt(17) + 4929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 986*p**6 - 148*p**2 + 0*p**4 + 1743*p**6 - 15*p**2 + 2*p**4 - 1001*p**6 wrt p?\nAnswer: 207360*p**3 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**3 - l - 17 + 3\/2*l**2. What is r(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-21)*(-154)\/44\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.05 (c) 0.5 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-129)\/9)\/((-94)\/(-141)) + 9\/(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}